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475840640: {name:"CSparse", type:'other', stats: {total_time: 0, external_time: 0, overhead_time: 0, count: 0, ops : [{ name: 'prepare', n : 0, time: 0}, { name: 'solve', n : 0, time: 0}, ]}}, | |
476924240: {name:"derivative_slicot_0_52", type:'MXFunction', stats: {total_time: 3.19238, external_time: 2.42502, overhead_time: 0.0700443, count: 31, ops : [{ name: 'assign', n : 0, time: 0}, { name: 'add', n : 1040, time: 0.017596}, { name: 'sub', n : 0, time: 0}, { name: 'mul', n : 0, time: 0}, { name: 'div', n : 52, time: 0.0241974}, { name: 'neg', n : 0, time: 0}, { name: 'exp', n : 0, time: 0}, { name: 'log', n : 0, time: 0}, { name: 'pow', n : 0, time: 0}, { name: 'constpow', n : 0, time: 0}, { name: 'sqrt', n : 0, time: 0}, { name: 'sq', n : 0, time: 0}, { name: 'twice', n : 1040, time: 0.0182386}, { name: 'sin', n : 0, time: 0}, { name: 'cos', n : 0, time: 0}, { name: 'tan', n : 0, time: 0}, { name: 'asin', n : 0, time: 0}, { name: 'acos', n : 0, time: 0}, { name: 'atan', n : 0, time: 0}, { name: 'lt', n : 0, time: 0}, { name: 'le', n : 0, time: 0}, { name: 'eq', n : 0, time: 0}, { name: 'ne', n : 0, time: 0}, { name: 'not', n : 0, time: 0}, { name: 'and', n : 0, time: 0}, { name: 'or', n : 0, time: 0}, { name: 'floor', n : 0, time: 0}, { name: 'ceil', n : 0, time: 0}, { name: 'fmod', n : 0, time: 0}, { name: 'fabs', n : 0, time: 0}, { name: 'sign', n : 0, time: 0}, { name: 'copysign', n : 0, time: 0}, { name: 'if_else_zero', n : 0, time: 0}, { name: 'erf', n : 0, time: 0}, { name: 'fmin', n : 0, time: 0}, { name: 'fmax', n : 0, time: 0}, { name: 'inv', n : 0, time: 0}, { name: 'sinh', n : 0, time: 0}, { name: 'cosh', n : 0, time: 0}, { name: 'tanh', n : 0, time: 0}, { name: 'asinh', n : 0, time: 0}, { name: 'acosh', n : 0, time: 0}, { name: 'atanh', n : 0, time: 0}, { name: 'atan2', n : 0, time: 0}, { name: 'const', n : 2132, time: 0.0172565}, { name: 'input', n : 54, time: 0.0126968}, { name: 'output', n : 105, time: 0.0186122}, { name: 'parameter', n : 0, time: 0}, { name: 'call', n : 2, time: 2.42502, dependency: 0}, { name: 'matmul', n : 2080, time: 0.544475}, { name: 'solve', n : 0, time: 0}, { name: 'transpose', n : 1040, time: 0.0156751}, { name: 'determinant', n : 0, time: 0}, { name: 'inverse', n : 0, time: 0}, { name: 'inner_prod', n : 0, time: 0}, { name: 'horzcat', n : 104, time: 0.0124391}, { name: 'vertcat', n : 0, time: 0}, { name: 'diagcat', n : 0, time: 0}, { name: 'horzsplit', n : 106, time: 0.0161348}, { name: 'vertsplit', n : 0, time: 0}, { name: 'diagsplit', n : 0, time: 0}, { name: 'reshape', n : 0, time: 0}, { name: 'subref', n : 0, time: 0}, { name: 'subassign', n : 0, time: 0}, { name: 'getnonzeros', n : 0, time: 0}, { name: 'addnonzeros', n : 0, time: 0}, { name: 'setnonzeros', n : 0, time: 0}, { name: 'set_sparse', n : 0, time: 0}, { name: 'assertion', n : 0, time: 0}, { name: 'norm2', n : 0, time: 0}, { name: 'norm1', n : 0, time: 0}, { name: 'norminf', n : 0, time: 0}, { name: 'normf', n : 0, time: 0}, { name: 'erfinv', n : 0, time: 0}, { name: 'printme', n : 0, time: 0}, { name: 'lift', n : 0, time: 0}, ]}}, | |
502919504: {name:"derivative_resf_0_52", type:'SXFunction', stats: {total_time: 2.84208, external_time: 0, overhead_time: 0, count: 1860}}, | |
504265696: {name:"derivative_nullspace_0_52", type:'SXFunction', stats: {total_time: 0.0322821, external_time: 0, overhead_time: 0, count: 620}}, | |
504544336: {name:"derivative_J_0_52", type:'SXFunction', stats: {total_time: 0.00663399, external_time: 0, overhead_time: 0, count: 620}}, | |
540851312: {name:"jac_g", type:'MXFunction', stats: {total_time: 107.16, external_time: 22.8827, overhead_time: 31.8198, count: 31, ops : [{ name: 'assign', n : 0, time: 0}, { name: 'add', n : 186439, time: 1.52429}, { name: 'sub', n : 13199, time: 0.316667}, { name: 'mul', n : 183481, time: 1.56205}, { name: 'div', n : 3153, time: 0.0463048}, { name: 'neg', n : 8419, time: 0.153545}, { name: 'exp', n : 0, time: 0}, { name: 'log', n : 0, time: 0}, { name: 'pow', n : 0, time: 0}, { name: 'constpow', n : 0, time: 0}, { name: 'sqrt', n : 179, time: 0.00157687}, { name: 'sq', n : 44, time: 0.000383948}, { name: 'twice', n : 1902, time: 0.0164826}, { name: 'sin', n : 0, time: 0}, { name: 'cos', n : 0, time: 0}, { name: 'tan', n : 0, time: 0}, { name: 'asin', n : 0, time: 0}, { name: 'acos', n : 0, time: 0}, { name: 'atan', n : 0, time: 0}, { name: 'lt', n : 0, time: 0}, { name: 'le', n : 0, time: 0}, { name: 'eq', n : 0, time: 0}, { name: 'ne', n : 0, time: 0}, { name: 'not', n : 0, time: 0}, { name: 'and', n : 0, time: 0}, { name: 'or', n : 0, time: 0}, { name: 'floor', n : 0, time: 0}, { name: 'ceil', n : 0, time: 0}, { name: 'fmod', n : 0, time: 0}, { name: 'fabs', n : 0, time: 0}, { name: 'sign', n : 0, time: 0}, { name: 'copysign', n : 0, time: 0}, { name: 'if_else_zero', n : 0, time: 0}, { name: 'erf', n : 0, time: 0}, { name: 'fmin', n : 0, time: 0}, { name: 'fmax', n : 0, time: 0}, { name: 'inv', n : 1450, time: 0.0163542}, { name: 'sinh', n : 0, time: 0}, { name: 'cosh', n : 0, time: 0}, { name: 'tanh', n : 0, time: 0}, { name: 'asinh', n : 0, time: 0}, { name: 'acosh', n : 0, time: 0}, { name: 'atanh', n : 0, time: 0}, { name: 'atan2', n : 0, time: 0}, { name: 'const', n : 325884, time: 2.71252}, { name: 'input', n : 2, time: 0.00011753}, { name: 'output', n : 3, time: 0.0229773}, { name: 'parameter', n : 0, time: 0}, { name: 'call', n : 614, time: 22.8827, dependency: 0}, { name: 'matmul', n : 112702, time: 26.4592}, { name: 'solve', n : 302, time: 4.9451}, { name: 'transpose', n : 180854, time: 3.45522}, { name: 'determinant', n : 0, time: 0}, { name: 'inverse', n : 0, time: 0}, { name: 'inner_prod', n : 159003, time: 1.90382}, { name: 'horzcat', n : 11324, time: 0.282977}, { name: 'vertcat', n : 66, time: 0.00248091}, { name: 'diagcat', n : 0, time: 0}, { name: 'horzsplit', n : 26032, time: 0.701827}, { name: 'vertsplit', n : 4754, time: 0.11299}, { name: 'diagsplit', n : 0, time: 0}, { name: 'reshape', n : 3600, time: 0.0404846}, { name: 'subref', n : 0, time: 0}, { name: 'subassign', n : 0, time: 0}, { name: 'getnonzeros', n : 421435, time: 2.48132}, { name: 'addnonzeros', n : 163718, time: 1.20531}, { name: 'setnonzeros', n : 474350, time: 2.98426}, { name: 'set_sparse', n : 34265, time: 1.50954}, { name: 'assertion', n : 0, time: 0}, { name: 'norm2', n : 0, time: 0}, { name: 'norm1', n : 0, time: 0}, { name: 'norminf', n : 0, time: 0}, { name: 'normf', n : 0, time: 0}, { name: 'erfinv', n : 0, time: 0}, { name: 'printme', n : 0, time: 0}, { name: 'lift', n : 0, time: 0}, ]}}, | |
}; | |
var functioncalls=[ {source:63837632, target:54597936,ncalls:60}, {source:63837632, target:58261168,ncalls:20}, {source:63837632, target:58287472,ncalls:20}, {source:64454544, target:54557088,ncalls:608}, {source:64454544, target:54597936,ncalls:1920}, {source:64454544, target:58261168,ncalls:640}, {source:64454544, target:58287472,ncalls:640}, {source:64454544, target:58424640,ncalls:32}, {source:67450656, target:54557088,ncalls:1634}, {source:67450656, target:54597936,ncalls:5160}, {source:67450656, target:58261168,ncalls:1720}, {source:67450656, target:58287472,ncalls:1720}, {source:67450656, target:58424640,ncalls:86}, {source:77833104, target:67450656,ncalls:84}, {source:77833104, target:78019616,ncalls:31}, {source:77833104, target:540851312,ncalls:32}, {source:78019616, target:54557088,ncalls:589}, {source:78019616, target:54597936,ncalls:1860}, {source:78019616, target:58261168,ncalls:620}, {source:78019616, target:58287472,ncalls:620}, {source:78019616, target:58424640,ncalls:31}, {source:204583008, target:58424640,ncalls:31}, {source:204583008, target:198610224,ncalls:31}, {source:238711728, target:58424640,ncalls:31}, {source:238711728, target:227895664,ncalls:31}, {source:350295184, target:58424640,ncalls:31}, {source:350295184, target:334444416,ncalls:31}, {source:476924240, target:58424640,ncalls:31}, {source:476924240, target:466416320,ncalls:31}, {source:540851312, target:54557088,ncalls:589}, {source:540851312, target:54597936,ncalls:1860}, {source:540851312, target:58261168,ncalls:620}, {source:540851312, target:58287472,ncalls:620}, {source:540851312, target:58424640,ncalls:31}, {source:540851312, target:86172000,ncalls:93}, {source:540851312, target:94109184,ncalls:1364}, {source:540851312, target:110189328,ncalls:93}, {source:540851312, target:126340864,ncalls:62}, {source:540851312, target:131879776,ncalls:31}, {source:540851312, target:132486000,ncalls:31}, {source:540851312, target:136540496,ncalls:31}, {source:540851312, target:137812816,ncalls:1798}, {source:540851312, target:142780624,ncalls:31}, {source:540851312, target:145613456,ncalls:62}, {source:540851312, target:152372400,ncalls:31}, {source:540851312, target:158126608,ncalls:62}, {source:540851312, target:161679904,ncalls:62}, {source:540851312, target:161904768,ncalls:62}, {source:540851312, target:163327424,ncalls:62}, {source:540851312, target:171118544,ncalls:62}, {source:540851312, target:177471840,ncalls:62}, {source:540851312, target:190196496,ncalls:589}, {source:540851312, target:204583008,ncalls:31}, {source:540851312, target:208358256,ncalls:62}, {source:540851312, target:208706240,ncalls:620}, {source:540851312, target:208731328,ncalls:589}, {source:540851312, target:216570368,ncalls:31}, {source:540851312, target:238711728,ncalls:31}, {source:540851312, target:266636064,ncalls:1860}, {source:540851312, target:268086944,ncalls:620}, {source:540851312, target:268171776,ncalls:620}, {source:540851312, target:350295184,ncalls:31}, {source:540851312, target:384238224,ncalls:1860}, {source:540851312, target:385915072,ncalls:620}, {source:540851312, target:386023296,ncalls:620}, {source:540851312, target:476924240,ncalls:31}, {source:540851312, target:502919504,ncalls:1860}, {source:540851312, target:504265696,ncalls:620}, {source:540851312, target:504544336,ncalls:620},]; | |
</script> | |
<script> | |
// From associative array to flat array | |
var functions_array = []; | |
var f_lookup = d3.map(); | |
var i = 0; | |
d3.entries(functions).forEach(function (e) { | |
if (e.value.name==='CSparse' || e.value.name==='LapackLUDense') return; | |
ret = e.value; | |
ret.originalid = e.key; | |
functions_array.push(ret); | |
f_lookup.set(e.key,i); | |
i = i +1; | |
}); | |
var functioncalls_new = []; | |
functioncalls.forEach(function(e) { | |
if (f_lookup.has(e.source) && f_lookup.has(e.target)) { | |
e.target = f_lookup.get(e.target); | |
e.source = f_lookup.get(e.source); | |
functioncalls_new.push(e); | |
} | |
}); | |
functions = functions_array; | |
functionscalls = functioncalls_new; | |
// aggregation | |
function compact(s) { | |
s = s.replace(/^((\w+\()*)derivative_(.*)_0_\d+(\)*)$/g,"$1adj($3)$4"); | |
s = s.replace(/^((\w+\()*)derivative_(.*)_\d+_0(\)*)$/g,"$1fwd($3)$4"); | |
s = s.replace(/^((\w+\()*)jacobian_(.*)_0_0(\)*)$/g,"$1jac($3)$4"); | |
s = s.replace(/^((\w+\()*)derivative_(.*)_0_\d+(\)*)$/g,"$1adj($3)$4"); | |
s = s.replace(/^((\w+\()*)derivative_(.*)_\d+_0(\)*)$/g,"$1fwd($3)$4"); | |
s = s.replace(/^((\w+\()*)jacobian_(.*)_0_0(\)*)$/g,"$1jac($3)$4"); | |
return s; | |
} | |
// aggregation | |
compact_dic = d3.map(); | |
functions.forEach(function(e,i) { | |
cname = compact(e.name); | |
e.name = cname; | |
if (compact_dic.has(cname)) { | |
var temp = compact_dic.get(cname) | |
temp.push(i); | |
compact_dic.set(cname , temp); | |
} else { | |
compact_dic.set(cname , [i]); | |
} | |
}); | |
function function_join(a,b) { | |
if ("stats" in b) { | |
a.stats.total_time+=b.stats.total_time; | |
a.stats.overhead_time+=b.stats.overhead_time; | |
a.stats.external_time+=b.stats.external_time; | |
a.stats.count+=b.stats.count; | |
if ("ops" in b.stats) { | |
b.stats.ops.forEach(function (e,i) { | |
if (a.stats.ops[i].name!=b.stats.ops[i].name) { | |
throw "mismatch"; | |
} else { | |
a.stats.ops[i].time+=b.stats.ops[i].time; | |
a.stats.ops[i].n+=b.stats.ops[i].n; | |
} | |
}); | |
} | |
} | |
} | |
f_lookup = d3.map(); | |
functions_array = []; | |
compact_dic.entries().forEach(function(e,i) { | |
var obj = null | |
e.value.forEach(function (orig) { | |
if (obj==null) { | |
obj = functions[orig]; | |
} else { | |
function_join(obj,functions[orig]); | |
} | |
f_lookup.set(orig, i); | |
}); | |
obj.index = i; | |
functions_array.push(obj); | |
}); | |
functioncalls.forEach(function(e) { | |
if (f_lookup.has(e.source) && f_lookup.has(e.target)) { | |
e.target = f_lookup.get(e.target); | |
e.source = f_lookup.get(e.source); | |
functioncalls_new.push(e); | |
} | |
}); | |
functions = functions_array; | |
functionscalls = functioncalls_new; | |
scale = 30; // 1 second == scale*scale | |
var width = 960, | |
height = 500 | |
var zoom = d3.behavior.zoom() | |
.on("zoom", zoomed); | |
var svg = d3.select("body").append("svg") | |
.attr("width", width) | |
.attr("height", height); | |
// build the arrow. | |
svg.append("defs").selectAll("marker") | |
.data(["end"]) // Different link/path types can be defined here | |
.enter().append("marker") // This section adds in the arrows | |
.attr("id", String) | |
.attr("viewBox", "0 -5 10 10") | |
.attr("refX", 10) | |
.attr("refY", 0) | |
.attr("markerWidth", 6) | |
.attr("markerHeight", 6) | |
.attr("orient", "auto") | |
.append("svg:path") | |
.attr("d", "M0,-5L10,0L0,5"); | |
svg.append('rect') | |
.attr('width', width) | |
.attr('height', height) | |
.attr('fill', 'white'); | |
var svg = svg.append("g") | |
.call(zoom) | |
.append("g"); | |
functions.forEach(function (d) { | |
d.radius = Math.max(scaled(d.stats.total_time)/Math.sqrt(2),50); | |
}); | |
var force = d3.layout.force() | |
.linkDistance(function (d) { return (d.source.radius+d.target.radius) * 1.2; }) | |
//.linkDistance(500) | |
.charge(function (d) { return -d.radius*d.radius*2; }) //-d.radius*d.radius; | |
//charge(-200) | |
.size([width, height]); | |
function zoomed() { | |
svg.attr("transform", "translate(" + d3.event.translate + ")scale(" + d3.event.scale + ")"); | |
} | |
force | |
.nodes(functions) | |
.links(functioncalls) | |
.start(); | |
var link = svg.selectAll(".link") | |
.data(functioncalls) | |
.enter().append("path") | |
.attr("class", "link") | |
.attr("marker-end", "url(#end)"); | |
var node = svg.selectAll(".node") | |
.data(functions) | |
.enter().append("g") | |
.attr("class", "node") | |
.classed("MXFunction",function (d) { return d.type==="MXFunction"}) | |
.classed("SXFunction",function (d) { return d.type==="SXFunction"}) | |
.classed("other",function (d) { return d.type==="other"}) | |
.call(force.drag); | |
node.append("circle") | |
.attr("class", "node") | |
.attr("r", function (d) {return d.radius }) | |
node.append("text") | |
.attr("dy", "-0.35em") | |
.attr("text-anchor", "middle") | |
.text(function(d) { return d.name }) | |
.attr('y', function(d) { return -scaled(d.stats.total_time)/2}); | |
//node.append("rect") | |
// .attr() | |
force.on("tick", function() { | |
//var q = d3.geom.quadtree(functions), | |
//i = 0, | |
//n = functions.length; | |
//while (++i < n) { | |
// q.visit(collide(functions[i])); | |
//} | |
link.attr("d", function(d) { | |
var dx = d.target.x - d.source.x, | |
dy = d.target.y - d.source.y, | |
dr = Math.sqrt(dx * dx + dy * dy+1e-6); | |
dx = dx/dr; | |
dy = dy/dr; | |
return "M" + | |
(d.source.x + dx* (d.source.radius+10)) + "," + | |
(d.source.y + dy* (d.source.radius+10)) + "L" + | |
(d.target.x - dx* (d.target.radius+10)) + "," + | |
(d.target.y - dy* (d.target.radius+10)) ; | |
}); | |
node.attr("transform", function(d) { return "translate(" + d.x + "," + d.y + ")"; }); | |
}); | |
function collide(node) { | |
var r = node.radius + 16, | |
nx1 = node.x - r, | |
nx2 = node.x + r, | |
ny1 = node.y - r, | |
ny2 = node.y + r; | |
return function(quad, x1, y1, x2, y2) { | |
if (quad.point && (quad.point !== node)) { | |
var x = node.x - quad.point.x, | |
y = node.y - quad.point.y, | |
l = Math.sqrt(x * x + y * y), | |
r = node.radius + quad.point.radius; | |
if (l < r) { | |
l = (l - r) / l * .5; | |
node.x -= x *= l; | |
node.y -= y *= l; | |
quad.point.x += x; | |
quad.point.y += y; | |
} | |
} | |
return x1 > nx2 | |
|| x2 < nx1 | |
|| y1 > ny2 | |
|| y2 < ny1; | |
}; | |
} | |
function scaled(t) { | |
return scale*Math.sqrt(t); | |
} | |
// https://gist.github.com/paulirish/1579816 | |
treemaps = {} | |
node.each(function (d) { | |
treemaps[d.originalid] = d3.layout.treemap() | |
.size([scaled(d.stats.total_time), scaled(d.stats.total_time)]) | |
.sticky(true) | |
.value(function(d) { return d.time; }); | |
}); | |
function treemap_lookup(d) { | |
if ('parent' in d) { | |
return treemaps[d.parent.originalid](d); | |
} else { | |
return treemaps[d.originalid](d); | |
} | |
} | |
var cell = node.filter(function(d) { return d.type==="MXFunction"|| d.type==="other";} ) | |
.append("g") | |
.attr('transform', function(d) { return 'translate(' + (- scaled(d.stats.total_time)/2) + ',' + (- scaled(d.stats.total_time)/2) + ')'; }) | |
.datum(function (d,i) { return { "name": 'all', "children": d.stats.ops.concat([ {name: "overhead", time: d.stats.overhead_time, n: 1, overhead: true} ]), "originalid": d.originalid,"index": d.index}; }) | |
.selectAll(".cell") | |
.data(treemap_lookup) | |
.enter().append('g') | |
.attr('class', 'cell') | |
.attr('transform', function(d) { return 'translate(' + d.x + ',' + d.y + ')'; }); | |
// add a rectangle to each cell | |
cell.append('rect') | |
.attr('width', function(d) { return d.dx; }) | |
.attr('height', function(d) { return d.dy; }) | |
.classed("call",function (d) { return "dependency" in d;}) | |
.classed("overhead",function (d) { return "overhead" in d;}) | |
.append("title") | |
.text(function(d) { return "parent" in d? "Inside: " + functions[d.parent.index].name + " -- total " + functions[d.parent.index].stats.total_time + "s, " + functions[d.parent.index].stats.count + " calls" + "\n" + d.name + ": " + d.time + "s, " + d.n + " calls" : ""; }); | |
// label the cells | |
cell.append('text') | |
.attr('x', function(d) { return d.dx/2; d}) | |
.attr('y', function(d) { return d.dy/2; d}) | |
.attr('dy', '.35em') | |
.attr('text-anchor', 'middle') | |
.text(function(d) { return d.area>100.0 ? d.name : "" }); | |
cell = node.filter(function(d) { return d.type==="SXFunction";} ) | |
.append("g") | |
.attr('transform', function(d) { return 'translate(' + (- scaled(d.stats.total_time)/2) + ',' + (- scaled(d.stats.total_time)/2) + ')'; }) | |
.attr('class', 'cell') | |
.append('rect') | |
.attr('width', function(d) { return scaled(d.stats.total_time); }) | |
.attr('height', function(d) { return scaled(d.stats.total_time);}) | |
.style('fill', function(d) { return d.name==="call" ? "white" : (d.name==="overhead" ? "#ff8080": "red"); }) | |
.append("title") | |
.text(function(d) { return d.name + ": " + d.stats.total_time + "s, " + d.stats.count + " calls"; }); | |
</script> | |
</body></html> |
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