Math overflow error in Julia

MathOverflow.jl

recursive_func(rand_q[1], 20, exp)

Quaternion{Float64}(0.5640308130993734, 0.4169392317621881, 0.4389478445487356, 0.6341786661544735, false)
Quaternion{Float64}(1.124340976491199, 0.6425229055599401, 0.6764392098021417, 0.9772990598642272, false)
Quaternion{Float64}(0.6707861642901156, 1.4286500959270507, 1.5040630203377152, 2.173025091467643, false)
Quaternion{Float64}(-1.9373469633419282, 0.12737241681125427, 0.1340959150760675, 0.1937377517985787, false)
Quaternion{Float64}(0.1389481946590188, 0.01813389606006181, 0.01909111444176842, 0.02758226892429555, false)
Quaternion{Float64}(1.1482292501280715, 0.020831968042115342, 0.0219316072300202, 0.0316861276174094, false)
Quaternion{Float64}(3.149581083449106, 0.0656539740048246, 0.06911959388823821, 0.09986191389604829, false)
Quaternion{Float64}(23.10433983849076, 1.5266032791987882, 1.6071867740849768, 2.3220151945344782, false)
Quaternion{Float64}(-1.0791074299020746e10, -3.525745663212402e8, -3.711856168471235e8, -5.362778341691994e8, false)
Quaternion{Float64}(-0.0, -0.0, -0.0, -0.0, false)
Quaternion{Float64}(1.0, -0.0, -0.0, -0.0, true)
Quaternion{Float64}(2.718281828459045, -0.0, -0.0, -0.0, false)
Quaternion{Float64}(15.154262241479262, -0.0, -0.0, -0.0, false)
Quaternion{Float64}(3.814279104760214e6, -0.0, -0.0, -0.0, false)
Quaternion{Float64}(Inf, NaN, NaN, NaN, false)
Quaternion{Float64}(NaN, NaN, NaN, NaN, false)
Quaternion{Float64}(NaN, NaN, NaN, NaN, false)
Quaternion{Float64}(NaN, NaN, NaN, NaN, false)
Quaternion{Float64}(NaN, NaN, NaN, NaN, false)
Quaternion{Float64}(NaN, NaN, NaN, NaN, false)