powComplex, real part

Time bar (total: 21.4s)

analyze476.0ms (2.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
18.8%18.7%81.1%0.2%0%0%0%7
18.8%18.7%81.1%0.2%0%0%0%8
18.8%18.7%81.1%0.2%0%0%0%9
34.4%34.3%65.5%0.2%0%0%0%10
54.7%54.6%45.2%0.2%0%0%0%11
54.7%54.6%45.2%0.2%0%0%0%12
Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 299.0ms
ival-mult: 111.0ms (37.1% of total)
ival-exp: 47.0ms (15.7% of total)
ival-atan2: 36.0ms (12% of total)
ival-log: 33.0ms (11% of total)
ival-add: 23.0ms (7.7% of total)
ival-sqrt: 20.0ms (6.7% of total)
ival-cos: 16.0ms (5.3% of total)
ival-sub: 11.0ms (3.7% of total)
const: 1.0ms (0.3% of total)
backward-pass: 1.0ms (0.3% of total)

sample4.4s (20.8%)

Results
1.4s5415×0valid
2.3s2841×1valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-mult: 1.2s (38.4% of total)
ival-cos: 488.0ms (16.2% of total)
ival-add: 375.0ms (12.4% of total)
ival-atan2: 297.0ms (9.8% of total)
ival-log: 242.0ms (8% of total)
ival-sqrt: 146.0ms (4.8% of total)
ival-exp: 125.0ms (4.1% of total)
backward-pass: 122.0ms (4% of total)
ival-sub: 55.0ms (1.8% of total)
const: 8.0ms (0.3% of total)
Bogosity

preprocess280.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
697×fma-neg
484×exp-prod
381×unsub-neg
335×exp-sum
317×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01491920
14031848
28521846
315951840
432021840
552961840
674431840
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.re) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.im) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(neg.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.re)))))
(neg.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.re) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.im) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.re)))))
(neg.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))
(neg.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) y.re) (*.f64 (atan2.f64 x.re x.im) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.im y.im) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im y.im) x.re))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.im y.im) (*.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re)))) x.im) (*.f64 (atan2.f64 y.re x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))) y.re) (*.f64 (atan2.f64 y.im x.re) x.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.re))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (*.f64 y.im (atan2.f64 x.im (neg.f64 x.re)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im (neg.f64 x.re))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im (neg.f64 x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im (neg.f64 x.re))))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.re) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.im) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 y.im (atan2.f64 (neg.f64 x.im) x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 (neg.f64 x.im) x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 (neg.f64 x.im) x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 (neg.f64 x.im) x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.re) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(neg.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.re)))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (*.f64 y.im (atan2.f64 x.im (neg.f64 x.re)))))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im (neg.f64 x.re)))))))
(*.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im (neg.f64 x.re))))) (/.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im (neg.f64 x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im (neg.f64 x.re)))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im (neg.f64 x.re)))))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im (neg.f64 x.re))))) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im (neg.f64 x.re))))))
(neg.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.re) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.im) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.re)))))
(*.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 y.im (atan2.f64 (neg.f64 x.im) x.re))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 (neg.f64 x.im) x.re)))))
(*.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 (neg.f64 x.im) x.re)))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 (neg.f64 x.im) x.re)))))
(neg.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.re) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))
(*.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(neg.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(*.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) y.re) (*.f64 (atan2.f64 x.re x.im) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (*.f64 y.im (atan2.f64 x.re x.im))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.re x.im)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.re x.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.re x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.re y.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 y.re x.im)) x.re (neg.f64 (*.f64 y.im (atan2.f64 x.im y.re))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 y.re x.im)) y.im (*.f64 x.re (atan2.f64 x.im y.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.im y.re) x.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im y.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im y.re)) (*.f64 x.re (atan2.f64 x.im y.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.im y.im) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im y.im) x.re))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 y.im y.im) (*.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 y.im x.im))) (*.f64 x.re (atan2.f64 x.im y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 y.im x.im)) x.re (*.f64 y.re (atan2.f64 x.im y.im)))))
(/.f64 (*.f64 (cos.f64 (fma.f64 x.re (log.f64 (hypot.f64 x.im y.im)) (*.f64 y.re (atan2.f64 x.im y.im)))) (pow.f64 (hypot.f64 x.im y.im) y.re)) (pow.f64 (exp.f64 x.re) (atan2.f64 x.im y.im)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.im y.im) y.re) (pow.f64 (exp.f64 x.re) (atan2.f64 x.im y.im))) (cos.f64 (fma.f64 x.re (log.f64 (hypot.f64 x.im y.im)) (*.f64 y.re (atan2.f64 x.im y.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re)))) x.im) (*.f64 (atan2.f64 y.re x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(*.f64 (exp.f64 (-.f64 (*.f64 x.im (log.f64 (hypot.f64 x.re y.re))) (*.f64 y.im (atan2.f64 y.re x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re y.re)) y.im (*.f64 x.im (atan2.f64 y.re x.re)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 x.re y.re) x.im) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re y.re)) (*.f64 x.im (atan2.f64 y.re x.re))))) (pow.f64 (exp.f64 y.im) (atan2.f64 y.re x.re)))
(*.f64 (pow.f64 (hypot.f64 x.re y.re) x.im) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re y.re)) (*.f64 x.im (atan2.f64 y.re x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 y.re x.re))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re y.re) x.im) (pow.f64 (exp.f64 y.im) (atan2.f64 y.re x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re y.re)) (*.f64 x.im (atan2.f64 y.re x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))) y.re) (*.f64 (atan2.f64 y.im x.re) x.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re y.im)) y.re (neg.f64 (*.f64 x.im (atan2.f64 y.im x.re))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re y.im)) x.im (*.f64 y.re (atan2.f64 y.im x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re y.im) y.re) (pow.f64 (exp.f64 x.im) (atan2.f64 y.im x.re))) (cos.f64 (fma.f64 x.im (log.f64 (hypot.f64 x.re y.im)) (*.f64 y.re (atan2.f64 y.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) y.im))))

explain429.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1800-1(-2.4927542599953493e+262 -1.2104396265427114e+186 5.213023931148288e+102 4.1010771173811425e+306)(cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
1130-0-(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
50-1(1.4433526199079177e+196 -7.243869453207655e-128 3.1969237988490923e-218 -2.9243464745175057e+215)(*.f64 (atan2.f64 x.im x.re) y.im)
30-0-(*.f64 (atan2.f64 x.im x.re) y.re)
00-0-(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
00-0-(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
00-0-y.im
00-0-y.re
00-0-(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
00-0-(*.f64 x.im x.im)
00-0-(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
00-0-x.im
00-0-x.re
00-0-(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
00-0-(*.f64 x.re x.re)
00-0-(atan2.f64 x.im x.re)
00-0-(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
00-0-(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
Results
283.0ms346×1valid
37.0ms166×0valid
Compiler

Compiled 403 to 59 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 249.0ms
ival-mult: 148.0ms (59.3% of total)
ival-log: 22.0ms (8.8% of total)
ival-cos: 19.0ms (7.6% of total)
backward-pass: 16.0ms (6.4% of total)
ival-atan2: 12.0ms (4.8% of total)
ival-sqrt: 10.0ms (4% of total)
ival-add: 9.0ms (3.6% of total)
ival-exp: 8.0ms (3.2% of total)
ival-sub: 4.0ms (1.6% of total)
const: 1.0ms (0.4% of total)

eval1.0ms (0%)

Compiler

Compiled 55 to 20 computations (63.6% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶73.7%
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
▶82.5%
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
▶47.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Compiler

Compiled 100 to 49 computations (51% saved)

localize725.0ms (3.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff320
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
✓cost-diff320
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
✓cost-diff320
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
✓cost-diff320
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
✓accuracy99.1%
(*.f64 y.re (atan2.f64 x.im x.re))
✓accuracy75.0%
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
✓accuracy72.2%
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓accuracy72.2%
(cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
Rules
262×fma-define
101×fma-neg
75×exp-prod
75×exp-sum
35×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0431388
1791364
21131364
31511364
42201364
52901364
64061364
75931364
87781364
910201364
1011741364
1111951364
1211971364
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(atan2.f64 x.im x.re)
(neg.f64 y.im)
y.im
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(*.f64 y.re (atan2.f64 x.im x.re))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(atan2.f64 x.im x.re)
(neg.f64 y.im)
y.im
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(*.f64 y.re (atan2.f64 x.im x.re))
Results
38.0ms80×0valid
94.0ms76×1valid
343.0ms70×5exit
16.0ms30×0unsamplable
Compiler

Compiled 374 to 35 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 299.0ms
ival-pow: 124.0ms (41.5% of total)
ival-mult: 39.0ms (13.1% of total)
backward-pass: 36.0ms (12.1% of total)
ival-log: 26.0ms (8.7% of total)
ival-cos: 18.0ms (6% of total)
ival-hypot: 10.0ms (3.3% of total)
ival-fma: 10.0ms (3.3% of total)
ival-exp: 9.0ms (3% of total)
ival-add: 8.0ms (2.7% of total)
ival-atan2: 6.0ms (2% of total)
ival-sqrt: 4.0ms (1.3% of total)
ival-div: 3.0ms (1% of total)
ival-neg: 2.0ms (0.7% of total)
ival-sub: 2.0ms (0.7% of total)
const: 0.0ms (0% of total)

series134.0ms (0.6%)

Counts
7 → 216
Calls
Call 1
Inputs
#<alt (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))>
#<alt (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)>
#<alt (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))>
#<alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)>
Outputs
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.im #s(literal 6 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64)))))))) (pow.f64 x.re #s(literal 6 binary64))))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64)))))))) (pow.f64 x.re #s(literal 6 binary64))))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) y.im) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im) (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (*.f64 y.im (log.f64 x.re))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im) (pow.f64 x.re #s(literal 6 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.im) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.im) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.im) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.im) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
Calls

63 calls:

TimeVariablePointExpression
50.0ms
y.re
@0
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
9.0ms
y.im
@0
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
5.0ms
x.im
@inf
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))
4.0ms
x.im
@0
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
4.0ms
x.re
@inf
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite402.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
981×log1p-expm1-u
981×expm1-log1p-u
553×fma-define
265×fma-neg
152×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029210
1406210
24332210
Stop Event
1×node limit
Counts
7 → 168
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
Outputs
(+.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (neg.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 1 binary64))
(*.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))) (fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (*.f64 (neg.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (*.f64 (neg.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
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(*.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 x.re x.im))
(*.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (sqrt.f64 (hypot.f64 x.re x.im)) (sqrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 x.re x.im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 x.re x.im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(fabs.f64 (hypot.f64 x.re x.im))
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(exp.f64 (log.f64 (hypot.f64 x.re x.im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 x.re x.im)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 x.re x.im)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im))))
(log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) #s(literal 1 binary64))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) #s(literal 1 binary64)))

simplify576.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
729×fma-define
640×associate-*r*
482×associate-*l*
479×*-commutative
361×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086136775
1240135079
2794035079
Stop Event
1×node limit
Counts
384 → 502
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.im #s(literal 6 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64))))))
(-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64)))))))) (pow.f64 x.re #s(literal 6 binary64))))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
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(*.f64 #s(literal 1 binary64) (hypot.f64 x.re x.im))
(*.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (sqrt.f64 (hypot.f64 x.re x.im)) (sqrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 x.re x.im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 x.re x.im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(fabs.f64 (hypot.f64 x.re x.im))
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(exp.f64 (log.f64 (hypot.f64 x.re x.im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 x.re x.im)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 x.re x.im)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im))))
(log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) #s(literal 1 binary64))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) #s(literal 1 binary64)))
Outputs
(cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 2 binary64))))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y.im (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) y.im) (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 (*.f64 y.im #s(literal -1/2 binary64)) (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 2 binary64))))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.im #s(literal 6 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.im #s(literal 6 binary64))))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 y.im (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 4 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y.im #s(literal 2 binary64))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 (*.f64 y.im #s(literal 1/6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))) (*.f64 (*.f64 #s(literal 1/4 binary64) y.im) (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 (*.f64 y.im #s(literal -1/2 binary64)) (/.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im #s(literal 2 binary64))))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (neg.f64 (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 x.re) (*.f64 y.re (atan2.f64 x.im x.re))))
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(+.f64 (cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (neg.f64 (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 (*.f64 y.im (sin.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (neg.f64 (log.f64 x.re))) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re #s(literal 2 binary64))))))
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x.re
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x.im
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(cbrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) #s(literal 3 binary64)))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(expm1.f64 (log1p.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) #s(literal -1 binary64)))
(log1p.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(exp.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)) #s(literal 1 binary64)))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (hypot.f64 x.im x.re))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (hypot.f64 x.im x.re))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.im x.re))))
(*.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(log.f64 (hypot.f64 x.im x.re))
(*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (hypot.f64 x.im x.re))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (hypot.f64 x.im x.re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(log.f64 (hypot.f64 x.im x.re))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(log.f64 (hypot.f64 x.im x.re))
(pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(log.f64 (hypot.f64 x.im x.re))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64))
(log.f64 (hypot.f64 x.im x.re))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (hypot.f64 x.im x.re))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (hypot.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)))
(log.f64 (hypot.f64 x.im x.re))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im))))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.im x.re))))
(log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64)))
(log.f64 (hypot.f64 x.im x.re))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))))
(log.f64 (hypot.f64 x.im x.re))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64)))
(log.f64 (hypot.f64 x.im x.re))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 1 binary64))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) #s(literal 3 binary64))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) #s(literal 2 binary64))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64))))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) #s(literal -1 binary64)))
(log.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) #s(literal 0 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)) #s(literal 3 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) #s(literal -1 binary64)))
(log.f64 (+.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) #s(literal 0 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))

eval238.0ms (1.1%)

Compiler

Compiled 35695 to 12128 computations (66% saved)

prune331.0ms (1.5%)

Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New67921700
Fresh000
Picked123
Done000
Total68023703
Accuracy
96.3%
Counts
703 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.9%
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
✓73.7%
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
✓82.5%
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
18.9%
(*.f64 (exp.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
17.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
41.0%
(*.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
58.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
23.1%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64))))))
51.3%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (*.f64 y.re (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (*.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
▶64.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
64.4%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
▶17.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
16.5%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
32.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
24.4%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
12.7%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶32.1%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
30.7%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
30.1%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
47.5%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶64.6%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
65.6%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
19.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Compiler

Compiled 1855 to 1114 computations (39.9% saved)

localize865.0ms (4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))
✓cost-diff12864
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
✓cost-diff12864
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))
✓cost-diff12864
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
✓accuracy100.0%
(cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))
✓accuracy100.0%
(cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
✓accuracy100.0%
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓accuracy100.0%
(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
Rules
1231×fma-define
794×unsub-neg
660×fma-neg
335×distribute-lft-neg-in
270×distribute-rgt-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0632801
11192777
22182777
33882757
47122741
510592741
612282741
714562741
817702741
927052741
1034522741
1155012741
1275472741
1379632741
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(log.f64 (hypot.f64 x.re x.im))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
#s(literal 3 binary64)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (log.f64 (neg.f64 x.im)) y.im)
(log.f64 (neg.f64 x.im))
(neg.f64 x.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im)
(pow.f64 x.re #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 y.im (log.f64 x.im))
(log.f64 x.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
Outputs
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
#s(literal 3 binary64)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im))))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im))))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (neg.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (log.f64 (neg.f64 x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im))))
(fma.f64 y.im (log.f64 (neg.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (neg.f64 x.im)) y.im)
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(log.f64 (neg.f64 x.im))
(neg.f64 x.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 y.im (log.f64 x.im))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (*.f64 y.im #s(literal 1/2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im))))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 y.im (log.f64 x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (*.f64 y.im #s(literal 1/2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)))))
(cos.f64 (fma.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 y.im (log.f64 x.im))))
(fma.f64 y.re (atan2.f64 x.im x.re) (fma.f64 y.im (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 y.im (log.f64 x.im) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (*.f64 y.im #s(literal 1/2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im))))
(fma.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 y.im (log.f64 x.im)))
(fma.f64 y.im (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 y.im (log.f64 x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (*.f64 y.im #s(literal 1/2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 y.im (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)))
(*.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (*.f64 y.im #s(literal 1/2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 y.im (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (/.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 y.im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))
(/.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 y.im (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im)
(*.f64 y.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 y.im (log.f64 x.im))
(log.f64 x.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(exp.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
Results
376.0ms226×0invalid
37.0ms30×0unsamplable
Compiler

Compiled 820 to 119 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-pow: 82.0ms (37% of total)
ival-mult: 48.0ms (21.6% of total)
ival-log: 19.0ms (8.6% of total)
ival-cos: 13.0ms (5.9% of total)
ival-div: 12.0ms (5.4% of total)
ival-fma: 12.0ms (5.4% of total)
ival-add: 10.0ms (4.5% of total)
ival-exp: 6.0ms (2.7% of total)
ival-hypot: 6.0ms (2.7% of total)
ival-atan2: 4.0ms (1.8% of total)
const: 3.0ms (1.4% of total)
ival-cbrt: 2.0ms (0.9% of total)
ival-sqrt: 2.0ms (0.9% of total)
ival-sub: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series583.0ms (2.7%)

Counts
8 → 316
Calls
Call 1
Inputs
#<alt (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))>
#<alt (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))>
#<alt (cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))>
#<alt (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))>
#<alt (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))>
#<alt (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))>
Outputs
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) y.im) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 y.re (atan2.f64 x.im x.re)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) y.im) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 y.re (atan2.f64 x.im x.re))))))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.re)) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.re)) (+.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.im) (pow.f64 x.re #s(literal 6 binary64))))))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (atan2.f64 x.im x.re))))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.im) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (atan2.f64 x.im x.re))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.im) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (atan2.f64 x.im x.re)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.im) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (atan2.f64 x.im x.re))))))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.im (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))>
#<alt (*.f64 y.im (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))>
#<alt (*.f64 y.im (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))))>
#<alt (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (+.f64 (/.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.re) (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.re (+.f64 (/.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.re) (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.re (+.f64 (/.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.re) (atan2.f64 x.im x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (atan2.f64 x.im x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.re)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (atan2.f64 x.im x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.re)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (atan2.f64 x.im x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.re)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (atan2.f64 x.im x.re)))))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (atan2.f64 x.im x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (atan2.f64 x.im x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (atan2.f64 x.im x.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (atan2.f64 x.im x.re))))>
Calls

87 calls:

TimeVariablePointExpression
166.0ms
y.im
@-inf
(* (/ (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (pow (cbrt (* (atan2 x.im x.re) y.re)) 3))))
108.0ms
x.re
@inf
(* (/ (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (pow (cbrt (* (atan2 x.im x.re) y.re)) 3))))
62.0ms
y.im
@inf
(* (/ (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (pow (cbrt (* (atan2 x.im x.re) y.re)) 3))))
36.0ms
x.im
@-inf
(cos (+ (* (log (neg x.im)) y.im) (* (atan2 x.im x.re) y.re)))
28.0ms
x.im
@inf
(cos (+ (* (log (neg x.im)) y.im) (* (atan2 x.im x.re) y.re)))

rewrite108.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
333×log1p-expm1-u
333×expm1-log1p-u
329×add-exp-log
325×add-log-exp
324×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046424
1758414
Stop Event
1×node limit
Counts
8 → 149
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (cbrt.f64 (atan2.f64 x.im x.re)) (cbrt.f64 y.re))
(*.f64 (cbrt.f64 y.re) (cbrt.f64 (atan2.f64 x.im x.re)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/6 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
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(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64)))

simplify666.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
633×times-frac
557×*-commutative
394×distribute-rgt-in
394×distribute-lft-in
283×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0140560796
1450359446
Stop Event
1×node limit
Counts
465 → 544
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))))))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 #s(literal -1 binary64) (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))))) (*.f64 (log.f64 (neg.f64 x.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 y.im (*.f64 (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 3 binary64)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (*.f64 (log.f64 (neg.f64 x.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64)))
Outputs
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))
(neg.f64 (*.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (cbrt.f64 #s(literal -1 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 4 binary64))))))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 #s(literal -1 binary64) (*.f64 y.im (*.f64 (log.f64 (neg.f64 x.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))))) (*.f64 (log.f64 (neg.f64 x.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
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(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 3 binary64))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64)))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (-.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64)))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 y.re (atan2.f64 x.im x.re))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))
(*.f64 y.re (atan2.f64 x.im x.re))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(expm1.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64)))
(*.f64 y.re (atan2.f64 x.im x.re))

eval600.0ms (2.8%)

Compiler

Compiled 41681 to 15942 computations (61.8% saved)

prune132.0ms (0.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New53014544
Fresh9716
Picked415
Done202
Total54522567
Accuracy
97.4%
Counts
567 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
33.1%
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
56.2%
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
▶73.7%
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
43.6%
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
17.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
41.0%
(*.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
30.1%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 x.im))))) #s(literal 3 binary64)))
58.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
54.4%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
13.6%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))))))
✓64.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
16.5%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶32.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
12.7%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
47.5%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶17.0%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))))
▶33.9%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
64.1%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
32.2%
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))) (exp.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 y.re) (log.f64 x.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
34.5%
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 y.re (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))))
▶62.2%
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
Compiler

Compiled 1545 to 956 computations (38.1% saved)

localize829.0ms (3.9%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff12800
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
✓cost-diff12928
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
✓cost-diff12928
(log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
✓cost-diff12928
(*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im)
✓accuracy100.0%
(cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
✓accuracy100.0%
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))))
accuracy100.0%
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓accuracy100.0%
(cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
Rules
895×fma-define
531×associate-+r-
523×times-frac
434×sub-neg
299×distribute-lft-neg-in
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0642317
11192299
22152299
33832284
47402272
511842272
618152257
721822257
825402257
934812257
1038742257
1148642257
1274642257
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(log.f64 (hypot.f64 x.re x.im))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
x.re
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(log.f64 (neg.f64 x.im))
(neg.f64 x.im)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im)
(pow.f64 x.re #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 y.im (log.f64 x.im))
(log.f64 x.im)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im)
(log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64))
(hypot.f64 x.re x.im)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 (atan2.f64 x.im x.re) y.re)
Outputs
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))
(expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
x.re
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(/.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
(*.f64 y.im (log.f64 (neg.f64 x.im)))
(log.f64 (neg.f64 x.im))
(neg.f64 x.im)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (*.f64 y.im (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y.im (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (*.f64 y.im (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (*.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (*.f64 y.im (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y.im (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cos.f64 (*.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))
(fma.f64 y.im (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (*.f64 y.im (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y.im (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))
(*.f64 y.im (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 y.im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 y.im (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 y.im (*.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 y.im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (*.f64 y.im #s(literal 1/2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 y.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 y.im (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im)
(*.f64 y.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 y.im (log.f64 x.im))
(log.f64 x.im)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im)
(*.f64 y.im (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)))))
(*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(log.f64 (hypot.f64 x.re x.im))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x.re x.im)
(pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64))
(hypot.f64 x.re x.im)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
Results
349.0ms226×0invalid
112.0ms30×0unsamplable
Compiler

Compiled 685 to 133 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 377.0ms
ival-pow: 217.0ms (57.5% of total)
ival-mult: 56.0ms (14.8% of total)
ival-log: 36.0ms (9.5% of total)
ival-cos: 15.0ms (4% of total)
ival-div: 11.0ms (2.9% of total)
ival-add: 9.0ms (2.4% of total)
ival-log1p: 7.0ms (1.9% of total)
ival-hypot: 6.0ms (1.6% of total)
ival-exp: 4.0ms (1.1% of total)
const: 4.0ms (1.1% of total)
ival-fma: 3.0ms (0.8% of total)
ival-expm1: 3.0ms (0.8% of total)
ival-atan2: 3.0ms (0.8% of total)
ival-neg: 3.0ms (0.8% of total)
ival-sqrt: 2.0ms (0.5% of total)
ival-sub: 1.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

series82.0ms (0.4%)

Counts
7 → 212
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))))>
#<alt (cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))>
#<alt (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im)>
#<alt (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64)))>
#<alt (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 4 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 4 binary64))))))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))>
#<alt (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))>
#<alt (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))>
#<alt (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))>
#<alt (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 x.im)))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (sin.f64 (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im #s(literal 6 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 4 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 4 binary64))))))))>
#<alt (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))) (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))) (pow.f64 x.im #s(literal 6 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))) (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (sin.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))) (pow.f64 x.im #s(literal 6 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.im #s(literal 6 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64)))))))) (pow.f64 x.re #s(literal 6 binary64))))))>
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#<alt (/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
Calls

60 calls:

TimeVariablePointExpression
14.0ms
y.im
@0
(* (log (pow (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 3) 1/3)) y.im)
5.0ms
x.re
@0
(cos (+ (* (log (pow (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) 3) 1/3)) y.im) (* (atan2 x.im x.re) y.re)))
4.0ms
x.re
@-inf
(* (/ (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (log (+ 1 (- (exp (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) 1))))
3.0ms
x.re
@inf
(* (/ (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (log (+ 1 (- (exp (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) 1))))
3.0ms
x.im
@inf
(* (/ (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (exp y.im) (atan2 x.im x.re))) (log (+ 1 (- (exp (cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))) 1))))

rewrite267.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
323×log1p-expm1-u
321×expm1-log1p-u
312×add-exp-log
311×pow1
307×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049307
1755301
Stop Event
1×node limit
Counts
7 → 130
Calls
Call 1
Inputs
(cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im))))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))))
(cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im)
(log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(pow.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(+.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64))))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 x.im)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))))))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))) (sqrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))) (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.im))) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(+.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(+.f64 (fma.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (*.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
(-.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (*.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))) (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))) (+.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 x.re x.im)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x.re x.im))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x.re x.im))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im))))
(log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 x.re x.im))
(*.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (sqrt.f64 (hypot.f64 x.re x.im)) (sqrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 x.re x.im))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(exp.f64 (log.f64 (hypot.f64 x.re x.im)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))) #s(literal 1 binary64))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 1 binary64)))

simplify519.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
656×times-frac
559×*-commutative
454×distribute-lft-in
452×distribute-rgt-in
313×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0143853236
1463951382
Stop Event
1×node limit
Counts
342 → 582
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 4 binary64))))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))
(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
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(log.f64 (exp.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (neg.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 x.re x.im)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x.re x.im))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 x.re x.im))) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im))))
(log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 x.re x.im))
(*.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (hypot.f64 x.re x.im)) (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (sqrt.f64 (hypot.f64 x.re x.im)) (sqrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 x.re x.im))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(exp.f64 (log.f64 (hypot.f64 x.re x.im)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))) #s(literal 1 binary64))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(exp.f64 (-.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 1 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 4 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 4 binary64))))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))
(cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x.im))))
(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (neg.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (neg.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (neg.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (neg.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (sin.f64 (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (/.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (*.f64 y.im (log.f64 x.im))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (/.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 x.im #s(literal 2 binary64))))))))
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x.re
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x.re
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x.im
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(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
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(hypot.f64 x.re x.im)
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(hypot.f64 x.re x.im)
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(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
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(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
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(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
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(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
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(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
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(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))

eval570.0ms (2.7%)

Compiler

Compiled 46028 to 17761 computations (61.4% saved)

prune358.0ms (1.7%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New6018609
Fresh7916
Picked055
Done011
Total60823631
Accuracy
97.4%
Counts
631 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
▶33.1%
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
56.2%
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
▶73.7%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
✓73.7%
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
43.6%
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
51.3%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
17.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
41.0%
(*.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
29.7%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 3 binary64)))
▶18.1%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶32.4%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
✓64.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
13.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))))))
✓32.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
12.7%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓17.0%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))))
✓33.9%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
64.1%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
32.2%
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))) (exp.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 y.re) (log.f64 x.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
34.5%
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
✓62.2%
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
▶61.3%
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
Compiler

Compiled 1299 to 842 computations (35.2% saved)

localize1.1s (5.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff320
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
cost-diff320
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
cost-diff320
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
✓cost-diff320
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
✓accuracy100.0%
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
✓accuracy100.0%
(exp.f64 y.im)
✓accuracy100.0%
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))
✓accuracy100.0%
(cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
Rules
831×fma-define
570×associate-/l*
446×associate-/r/
399×associate-/r*
367×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0662269
11382211
23132211
310832211
436252211
556682211
667502211
776822211
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
#s(literal 1 binary64)
(/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
x.im
x.re
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
y.re
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))
(log.f64 (hypot.f64 x.re x.im))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
#s(literal 1 binary64)
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 x.im))
y.im
(log.f64 x.im)
x.im
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.re
(pow.f64 x.im y.re)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))
(log.f64 (neg.f64 x.im))
(neg.f64 x.im)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 x.im)
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
#s(literal 1 binary64)
(/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
x.im
x.re
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
y.re
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))
(log.f64 (hypot.f64 x.re x.im))
(log.f64 (hypot.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(pow.f64 (hypot.f64 x.im x.re) y.re)
#s(literal 1 binary64)
(pow.f64 (hypot.f64 x.re x.im) y.re)
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
x.re
x.im
y.re
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 x.im)))) (/.f64 (pow.f64 x.im y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re))
(*.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 x.im y.re))
(*.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im y.re))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 x.im))))
(+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 x.im)))
(*.f64 y.im (log.f64 x.im))
y.im
(log.f64 x.im)
x.im
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.re)
y.re
(atan2.f64 x.im x.re)
x.re
(pow.f64 x.im y.re)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64))
(log.f64 (neg.f64 x.im))
(neg.f64 x.im)
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(log.f64 (hypot.f64 x.im x.re))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)) #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 y.im #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im)) #s(literal 2 binary64))
(+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 x.im))
(log.f64 x.im)
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
Results
666.0ms240×0invalid
24.0ms16×0unsamplable
Compiler

Compiled 638 to 174 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 397.0ms
ival-pow: 220.0ms (55.4% of total)
ival-mult: 61.0ms (15.4% of total)
ival-div: 34.0ms (8.6% of total)
ival-cos: 27.0ms (6.8% of total)
ival-add: 13.0ms (3.3% of total)
ival-log: 13.0ms (3.3% of total)
ival-exp: 7.0ms (1.8% of total)
const: 7.0ms (1.8% of total)
ival-hypot: 5.0ms (1.3% of total)
ival-fma: 3.0ms (0.8% of total)
ival-atan2: 3.0ms (0.8% of total)
ival-sqrt: 2.0ms (0.5% of total)
ival-sub: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

series65.0ms (0.3%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))>
#<alt (exp.f64 y.im)>
#<alt (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))>
Outputs
#<alt (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 #s(literal -1 binary64) (*.f64 y.im (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))>
#<alt (+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) #s(literal 2 binary64))))) (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))>
#<alt (+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 y.im (*.f64 (pow.f64 (log.f64 x.im) #s(literal 3 binary64)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 x.im)))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 #s(literal -1 binary64) (*.f64 y.re (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (atan2.f64 x.im x.re)))))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (atan2.f64 x.im x.re)))))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 y.re (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (atan2.f64 x.im x.re)))))>
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#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/720 binary64) (/.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.im (atan2.f64 x.im x.re)) y.re))))>
#<alt (*.f64 y.re (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.im (atan2.f64 x.im x.re)) y.re))))>
#<alt (*.f64 y.re (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.im (atan2.f64 x.im x.re)) y.re))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (/.f64 (*.f64 y.im (atan2.f64 x.im x.re)) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (/.f64 (*.f64 y.im (atan2.f64 x.im x.re)) y.re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.re (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (/.f64 (*.f64 y.im (atan2.f64 x.im x.re)) y.re))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.im) (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.im) (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.im (-.f64 (/.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.im) (atan2.f64 x.im x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.im)) (*.f64 #s(literal -1 binary64) (atan2.f64 x.im x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.im)) (*.f64 #s(literal -1 binary64) (atan2.f64 x.im x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) y.im)) (*.f64 #s(literal -1 binary64) (atan2.f64 x.im x.re)))))>
Calls

48 calls:

TimeVariablePointExpression
14.0ms
x.re
@0
(cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))
9.0ms
x.im
@-inf
(cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))
7.0ms
x.im
@0
(cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))
6.0ms
y.im
@0
(cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))
1.0ms
x.im
@inf
(cos (+ (* y.im (log (sqrt (+ (* x.re x.re) (* x.im x.im))))) (* (atan2 x.im x.re) y.re)))

rewrite266.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1098×log1p-expm1-u
226×expm1-log1p-u
223×add-exp-log
220×add-log-exp
218×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035184
1537184
26408184
Stop Event
1×node limit
Counts
5 → 139
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(exp.f64 y.im)
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))
Outputs
(+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) (fma.f64 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (log.f64 (pow.f64 x.im y.im))) (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (neg.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))))) #s(literal 1 binary64))
(*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))) (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (*.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.im y.im))))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.im y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 x.im y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
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(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sqrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))

simplify550.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
686×fma-neg
647×associate-*r*
644×fma-define
476×associate-*l*
457×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
081824462
1229323592
2753223582
Stop Event
1×node limit
Counts
259 → 428
Calls
Call 1
Inputs
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 #s(literal -1 binary64) (*.f64 y.im (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) #s(literal 2 binary64))))) (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 y.im (*.f64 (pow.f64 (log.f64 x.im) #s(literal 3 binary64)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 #s(literal -1 binary64) (*.f64 y.re (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 y.re (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (atan2.f64 x.im x.re)))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 #s(literal -1 binary64) (*.f64 y.im (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64))))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 y.im (*.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.im #s(literal 6 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.im #s(literal 2 binary64)))))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64))))))
(-.f64 (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 6 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/720 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64)))))))) (pow.f64 x.re #s(literal 6 binary64))))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re))))
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(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64)) (*.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))))) (-.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re)))))
(pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 #s(literal 1 binary64) (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sqrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
Outputs
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 #s(literal -1 binary64) (*.f64 y.im (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (neg.f64 y.im) (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 x.im))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) #s(literal 2 binary64))))) (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(fma.f64 y.im (-.f64 (*.f64 y.im (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (pow.f64 (log.f64 x.im) #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 y.im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 y.im (*.f64 (pow.f64 (log.f64 x.im) #s(literal 3 binary64)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))) (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (-.f64 (*.f64 y.im (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 y.im (pow.f64 (log.f64 x.im) #s(literal 3 binary64))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))) (*.f64 (log.f64 x.im) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(fma.f64 y.im (fma.f64 y.im (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 x.im) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 y.im (pow.f64 (log.f64 x.im) #s(literal 3 binary64)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (log.f64 x.im) (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (neg.f64 (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (neg.f64 (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (neg.f64 (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 #s(literal -1 binary64) (*.f64 y.im (neg.f64 (log.f64 x.im))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.im)))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(cos.f64 (+.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(cos.f64 (*.f64 y.im (log.f64 x.im)))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 #s(literal -1 binary64) (*.f64 y.re (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (neg.f64 (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))
(-.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) (*.f64 y.re (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (*.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))
(fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) y.re)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 (sin.f64 (*.f64 y.im (log.f64 x.im)))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(fma.f64 y.re (fma.f64 y.re (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -1/2 binary64))) (*.f64 (atan2.f64 x.im x.re) (neg.f64 (sin.f64 (*.f64 y.im (log.f64 x.im)))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 y.re (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (atan2.f64 x.im x.re)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 y.re (-.f64 (*.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 y.re (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))))))) (*.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 x.im)))))))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 y.re (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))) #s(literal 1/6 binary64)))) (*.f64 (atan2.f64 x.im x.re) (neg.f64 (sin.f64 (*.f64 y.im (log.f64 x.im)))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 #s(literal -1 binary64) (*.f64 y.im (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(+.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (neg.f64 y.im) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (log.f64 (hypot.f64 x.im x.re)))))
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(/.f64 (-.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 (atan2.f64 x.im x.re) y.im)))) (-.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (+.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)) (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)))) (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (fma.f64 (atan2.f64 x.im x.re) y.im (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)))))
(pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 2 binary64))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)))
(log.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))))))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (log.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 #s(literal 1 binary64) (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (fma.f64 y.im (neg.f64 (atan2.f64 x.im x.re)) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (fma.f64 (atan2.f64 x.im x.re) y.im (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))) (cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) (sqrt.f64 (-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re))))
(+.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (fma.f64 y.im (neg.f64 (atan2.f64 x.im x.re)) (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (fma.f64 (atan2.f64 x.im x.re) y.im (*.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 x.im x.re) y.im))))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(-.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (*.f64 (atan2.f64 x.im x.re) y.im))

eval1.5s (7.1%)

Compiler

Compiled 54112 to 28791 computations (46.8% saved)

prune470.0ms (2.2%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New113351138
Fresh21012
Picked415
Done156
Total1140211161
Accuracy
97.4%
Counts
1161 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
23.5%
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (+.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)))
32.7%
(/.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
56.2%
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
75.1%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
✓73.7%
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
43.6%
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
51.3%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
29.7%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 3 binary64)))
✓64.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
13.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))))))
✓32.8%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
12.7%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓17.0%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))))
64.1%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
15.5%
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
23.9%
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
32.2%
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))) (exp.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 y.re) (log.f64 x.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
34.5%
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
✓62.2%
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
✓61.3%
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
Compiler

Compiled 2225 to 858 computations (61.4% saved)

regimes157.0ms (0.7%)

Counts
51 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (+.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))) (exp.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 y.re) (log.f64 x.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 y.re (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 x.im))))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im)))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (atan2.f64 x.im x.re) y.re (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 x.re (sqrt.f64 y.im)) x.im) #s(literal 2 binary64)) (*.f64 y.im (log.f64 x.im))))))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (*.f64 y.im (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (*.f64 y.re (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y.re (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (*.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))))
Outputs
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
Calls

5 calls:

90.0ms
y.re
18.0ms
y.im
15.0ms
x.im
15.0ms
x.re
8.0ms
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Results
AccuracySegmentsBranch
82.5%1x.re
82.5%1x.im
84.9%3y.re
82.5%1y.im
84.6%3(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Compiler

Compiled 61 to 35 computations (42.6% saved)

regimes137.0ms (0.6%)

Counts
35 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (+.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))) (exp.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 y.re) (log.f64 x.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 y.re (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (+.f64 x.im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.im (log.f64 x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
Calls

5 calls:

44.0ms
x.re
28.0ms
x.im
27.0ms
y.im
27.0ms
y.re
4.0ms
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Results
AccuracySegmentsBranch
79.5%2(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
81.8%3y.re
81.1%7x.re
80.2%3y.im
77.6%3x.im
Compiler

Compiled 61 to 35 computations (42.6% saved)

regimes32.0ms (0.1%)

Counts
23 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (+.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))) (exp.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 y.re) (log.f64 x.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 y.re (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 x.im) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
Calls

1 calls:

28.0ms
y.re
Results
AccuracySegmentsBranch
82.5%4y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes32.0ms (0.1%)

Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (+.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.re y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (neg.f64 (log.f64 x.re))))) (exp.f64 (-.f64 (neg.f64 (*.f64 (neg.f64 y.re) (log.f64 x.re))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 y.re (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 (atan2.f64 x.im x.re) y.im))))
(*.f64 (cos.f64 (-.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (neg.f64 y.re)) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
Outputs
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
Calls

2 calls:

17.0ms
y.im
13.0ms
y.re
Results
AccuracySegmentsBranch
80.4%5y.im
80.0%3y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes28.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (pow.f64 x.im y.re)) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 (log.f64 (neg.f64 x.im)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 x.im y.re)) (+.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.im)))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
Calls

3 calls:

12.0ms
y.re
7.0ms
x.im
7.0ms
y.im
Results
AccuracySegmentsBranch
75.4%3y.im
76.4%7x.im
72.2%8y.re
Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.re x.im) y.re))
Outputs
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
Calls

3 calls:

2.0ms
x.im
2.0ms
x.re
2.0ms
y.im
Results
AccuracySegmentsBranch
62.2%1x.im
62.2%1x.re
62.2%1y.im
Compiler

Compiled 15 to 12 computations (20% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
Outputs
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
Calls

3 calls:

0.0ms
y.im
0.0ms
x.re
0.0ms
x.im
Results
AccuracySegmentsBranch
61.3%1y.im
61.3%1x.im
61.3%1x.re
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch149.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
1.4325232750334546e+89
5.654601682099591e+96
46.0ms
-5.104098361965317e-6
-1.6240762261051012e-20
Results
29.0ms175×0valid
58.0ms129×1valid
Compiler

Compiled 1024 to 666 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 22.0ms (32.3% of total)
ival-log: 11.0ms (16.2% of total)
ival-cos: 8.0ms (11.8% of total)
backward-pass: 7.0ms (10.3% of total)
ival-atan2: 6.0ms (8.8% of total)
ival-add: 5.0ms (7.4% of total)
ival-sqrt: 4.0ms (5.9% of total)
ival-exp: 3.0ms (4.4% of total)
ival-sub: 2.0ms (2.9% of total)
const: 0.0ms (0% of total)

bsearch370.0ms (1.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
135.0ms
2.4103034225369355e+182
4.03174226221018e+182
39.0ms
2040057842082659800.0
4.044182325211016e+22
45.0ms
-5.104098361965317e-6
-1.6240762261051012e-20
Results
41.0ms236×0valid
162.0ms116×1valid
Compiler

Compiled 1140 to 743 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-cos: 95.0ms (51.6% of total)
ival-sqrt: 30.0ms (16.3% of total)
ival-mult: 27.0ms (14.7% of total)
ival-log: 12.0ms (6.5% of total)
ival-add: 5.0ms (2.7% of total)
ival-atan2: 5.0ms (2.7% of total)
backward-pass: 4.0ms (2.2% of total)
ival-exp: 3.0ms (1.6% of total)
ival-sub: 2.0ms (1.1% of total)
const: 0.0ms (0% of total)

bsearch175.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
96.0ms
6.163406074374709e+51
2.131266222669432e+53
69.0ms
-6.123721104670872e+32
-2.8720923581231364e+26
Results
45.0ms172×0valid
111.0ms84×1valid
Compiler

Compiled 624 to 409 computations (34.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 93.0ms (74.1% of total)
ival-cos: 7.0ms (5.6% of total)
ival-log: 7.0ms (5.6% of total)
ival-add: 4.0ms (3.2% of total)
ival-sqrt: 4.0ms (3.2% of total)
ival-atan2: 4.0ms (3.2% of total)
backward-pass: 3.0ms (2.4% of total)
ival-exp: 2.0ms (1.6% of total)
ival-sub: 2.0ms (1.6% of total)
const: 0.0ms (0% of total)

bsearch210.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
138.0ms
2.263020294061469e-35
7.664332726315907e-32
47.0ms
-73794288885793.08
-48008810099.75882
Results
68.0ms207×0valid
107.0ms49×1valid
Compiler

Compiled 640 to 441 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 109.0ms (77.3% of total)
ival-add: 9.0ms (6.4% of total)
ival-cos: 6.0ms (4.3% of total)
ival-log: 6.0ms (4.3% of total)
ival-sqrt: 3.0ms (2.1% of total)
ival-atan2: 3.0ms (2.1% of total)
ival-exp: 2.0ms (1.4% of total)
backward-pass: 2.0ms (1.4% of total)
ival-sub: 1.0ms (0.7% of total)
const: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
15×*-commutative
5×+-commutative
4×sub-neg
4×if-if-or-not
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821130
11211130
21291130
31341130
41361130
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.re #s(literal -5902958103587057/1180591620717411303424 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.re #s(literal 469999999999999972449404633822112549088050069130617625288360029412781389722710342866386494160896 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))))
(if (<=.f64 y.re #s(literal -2011652563838743/154742504910672534362390528 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.re #s(literal 2100000000000000000 binary64)) (/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (if (<=.f64 y.re #s(literal 300000000000000019359359618171518678962632257230867509309507873498207427975060859668814529980123547104936148366685552540576584385276867151907114685968373987370973853653291462408798208 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(if (<=.f64 y.re #s(literal -289999999999999998355832832 binary64)) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.re #s(literal 8200000000000000210257378286748523987747421280010240 binary64)) (/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))))
(if (<=.f64 y.im #s(literal -49000000000 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)) (if (<=.f64 y.im #s(literal 6850788924988607/91343852333181432387730302044767688728495783936 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
Outputs
(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(if (<=.f64 y.re #s(literal -5902958103587057/1180591620717411303424 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.re #s(literal 469999999999999972449404633822112549088050069130617625288360029412781389722710342866386494160896 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))))
(if (<=.f64 y.re #s(literal -5902958103587057/1180591620717411303424 binary64)) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re #s(literal 469999999999999972449404633822112549088050069130617625288360029412781389722710342866386494160896 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.re x.im) y.re)))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re #s(literal -2011652563838743/154742504910672534362390528 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (if (<=.f64 y.re #s(literal 2100000000000000000 binary64)) (/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (if (<=.f64 y.re #s(literal 300000000000000019359359618171518678962632257230867509309507873498207427975060859668814529980123547104936148366685552540576584385276867151907114685968373987370973853653291462408798208 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)))))
(if (<=.f64 y.re #s(literal -2011652563838743/154742504910672534362390528 binary64)) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))) (if (<=.f64 y.re #s(literal 2100000000000000000 binary64)) (/.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (if (<=.f64 y.re #s(literal 300000000000000019359359618171518678962632257230867509309507873498207427975060859668814529980123547104936148366685552540576584385276867151907114685968373987370973853653291462408798208 binary64)) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im)))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(if (<=.f64 y.re #s(literal -289999999999999998355832832 binary64)) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (if (<=.f64 y.re #s(literal 8200000000000000210257378286748523987747421280010240 binary64)) (/.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))))
(if (or (<=.f64 y.re #s(literal -289999999999999998355832832 binary64)) (not (<=.f64 y.re #s(literal 8200000000000000210257378286748523987747421280010240 binary64)))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(if (<=.f64 y.im #s(literal -49000000000 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)) (if (<=.f64 y.im #s(literal 6850788924988607/91343852333181432387730302044767688728495783936 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))))
(if (or (<=.f64 y.im #s(literal -49000000000 binary64)) (not (<=.f64 y.im #s(literal 6850788924988607/91343852333181432387730302044767688728495783936 binary64)))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))))) (*.f64 (atan2.f64 x.im x.re) y.im))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re))
(pow.f64 (hypot.f64 x.re x.im) y.re)

soundness2.4s (11.3%)

Rules
981×log1p-expm1-u
981×expm1-log1p-u
729×fma-define
697×fma-neg
686×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046424
1758414
01491920
14031848
28521846
315951840
432021840
552961840
674431840
029210
1406210
24332210
086136775
1240135079
2794035079
081824462
1229323592
2753223582
0140560796
1450359446
049307
1755301
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1811 to 506 computations (72.1% saved)

preprocess63.0ms (0.3%)

Compiler

Compiled 626 to 178 computations (71.6% saved)

end0.0ms (0%)

Profiling

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