powComplex, real part

Time bar (total: 24.6s)

analyze467.0ms (1.9%)

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: 268.0ms
ival-mult: 121.0ms (45.1% of total)
ival-log: 31.0ms (11.6% of total)
ival-add: 24.0ms (8.9% of total)
ival-atan2: 24.0ms (8.9% of total)
ival-sqrt: 22.0ms (8.2% of total)
ival-exp: 19.0ms (7.1% of total)
ival-cos: 13.0ms (4.8% of total)
ival-sub: 12.0ms (4.5% of total)
const: 2.0ms (0.7% of total)

sample4.0s (16.2%)

Results
1.2s4958×0valid
1.7s2639×1infinite
95.0ms400×0infinite
135.0ms259×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-mult: 763.0ms (31.8% of total)
ival-cos: 374.0ms (15.6% of total)
backward-pass: 361.0ms (15% of total)
ival-log: 359.0ms (15% of total)
ival-atan2: 144.0ms (6% of total)
ival-add: 128.0ms (5.3% of total)
ival-sqrt: 110.0ms (4.6% of total)
ival-exp: 85.0ms (3.5% of total)
ival-sub: 65.0ms (2.7% of total)
const: 12.0ms (0.5% of total)
Bogosity

preprocess174.0ms (0.7%)

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 (/.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 (/.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 (/.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 (/.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 (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 (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 (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 (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 (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) (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 (/.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))) (neg.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))))))
(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 (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 (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 (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 (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 (/.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 (/.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 (/.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 (/.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 (/.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 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) 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))))

explain479.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1730-1(-1.7032006870261447e-81 -4.9089343343261035e-57 -6.265989355582589e-291 -1.6317778804826178e+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)))
91(1.6007404426434876e+114 -3.094895943468466e-279 -1.5961211510119467e+69 2.1119686537034467e-101)0-(*.f64 (atan2.f64 x.im x.re) y.re)
60-0-(*.f64 (atan2.f64 x.im x.re) y.im)
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
44.0ms182×256valid
80.0ms108×1024infinite
63.0ms86×1024valid
21.0ms46×512valid
17.0ms38×512infinite
123.0ms32×256infinite
12.0ms12×2048valid
12.0ms8×2048infinite
Compiler

Compiled 403 to 59 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 276.0ms
ival-atan2: 128.0ms (46.3% of total)
ival-mult: 56.0ms (20.3% of total)
ival-log: 30.0ms (10.9% of total)
ival-cos: 26.0ms (9.4% of total)
ival-sqrt: 12.0ms (4.3% of total)
ival-add: 11.0ms (4% of total)
ival-exp: 7.0ms (2.5% of total)
ival-sub: 5.0ms (1.8% of total)
const: 1.0ms (0.4% of total)

eval1.0ms (0%)

Compiler

Compiled 29 to 15 computations (48.3% saved)

prune4.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(*.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)))))
▶44.1%
(*.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 (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 70 to 34 computations (51.4% saved)

localize977.0ms (4%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓99.9%
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
✓99.6%
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
✓97.6%
(*.f64 y.re (atan2.f64 x.im x.re))
✓75.4%
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓99.7%
(*.f64 (atan2.f64 x.im x.re) y.im)
✓97.6%
(*.f64 (atan2.f64 x.im x.re) y.re)
✓75.6%
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
✓75.4%
(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
38.0ms83×256valid
726.0ms75×8192exit
13.0ms27×256unsamplable
38.0ms22×1024valid
25.0ms15×1024infinite
41.0ms12×256infinite
13.0ms11×512valid
10.0ms10×512infinite
3.0ms1×2048infinite
Compiler

Compiled 273 to 30 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 852.0ms
ival-cos: 235.0ms (27.6% of total)
ival-pow: 213.0ms (25% of total)
ival-log: 138.0ms (16.2% of total)
ival-mult: 106.0ms (12.4% of total)
composed: 46.0ms (5.4% of total)
ival-atan2: 40.0ms (4.7% of total)
ival-exp: 20.0ms (2.3% of total)
ival-add: 20.0ms (2.3% of total)
ival-sqrt: 19.0ms (2.2% of total)
ival-div: 8.0ms (0.9% of total)
ival-sub: 4.0ms (0.5% of total)
const: 1.0ms (0.1% of total)

series207.0ms (0.8%)

Counts
8 → 288
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 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))>
#<alt (*.f64 (atan2.f64 x.im x.re) y.re)>
#<alt (*.f64 (atan2.f64 x.im x.re) y.im)>
#<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 (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))>
#<alt (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))>
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.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 (*.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 y.re (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 #s(literal -1 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 #s(literal -1 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 #s(literal -1 binary64) (atan2.f64 x.im x.re)))))>
Calls

81 calls:

TimeVariablePointExpression
38.0ms
y.re
@inf
(/ (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (exp y.im) (atan2 x.im x.re)))
35.0ms
y.im
@inf
(/ (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (exp y.im) (atan2 x.im x.re)))
33.0ms
y.im
@-inf
(/ (pow (sqrt (+ (* x.re x.re) (* x.im x.im))) y.re) (pow (exp y.im) (atan2 x.im x.re)))
13.0ms
y.re
@inf
(+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re)))
5.0ms
x.im
@inf
(cos (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* y.re (atan2 x.im x.re))))

rewrite312.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1291×log1p-expm1-u
361×expm1-log1p-u
194×add-exp-log
192×add-log-exp
189×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033287
1499287
25573287
Stop Event
1×node limit
Counts
8 → 257
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)))
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 (atan2.f64 x.im x.re) 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 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)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
Outputs
(+.f64 (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 (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 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))) (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 (*.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 (neg.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 (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 (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 #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 (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 (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 2 binary64)))
(*.f64 (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 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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (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))))))
(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)))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.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 (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 (hypot.f64 x.re x.im))) #s(literal 1 binary64))
(*.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)) (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)))
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(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.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.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.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.im (log.f64 (hypot.f64 x.re x.im))))

simplify409.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
871×fma-define
728×associate-*l*
374×*-commutative
278×distribute-rgt-in
273×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114146208
1332345250
Stop Event
1×node limit
Counts
545 → 473
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))))
(+.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 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 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 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 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 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 x.im #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.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.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.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 6 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 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 y.im (sin.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))) (pow.f64 x.re #s(literal 2 binary64)))))))
(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))))
(+.f64 (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)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.re #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.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))))) (pow.f64 x.im #s(literal 2 binary64)))))
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(+.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(-.f64 (exp.f64 (log1p.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 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (-.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (-.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.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 #s(literal 1 binary64) (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (cbrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (cbrt.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 (cbrt.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 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (sqrt.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.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 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re)) (-.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.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 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64))) (-.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.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 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(pow.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 (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 (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 (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 (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 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 (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 (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 (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 (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 (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 y.im (log.f64 (hypot.f64 x.re 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 (hypot.f64 x.re x.im))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.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.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.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.im (log.f64 (hypot.f64 x.re x.im))))
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)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (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)))))))
(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 (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 (*.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)))) #s(literal 1/4 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)))))) (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)))))))
(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 (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)))) (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (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 6 binary64)))) (*.f64 (sin.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) (neg.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 #s(literal 1/6 binary64) y.im) (pow.f64 x.im #s(literal 6 binary64))))))) (*.f64 (*.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)))) #s(literal 1/4 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)))))) (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 y.re (atan2.f64 x.im x.re) (*.f64 (neg.f64 (log.f64 x.re)) (neg.f64 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)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 (*.f64 y.im (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (neg.f64 (log.f64 x.re)) (neg.f64 y.im))))) (pow.f64 x.re #s(literal 2 binary64)))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (neg.f64 (log.f64 x.re)) (neg.f64 y.im)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))) (fma.f64 (atan2.f64 x.im x.re) (*.f64 y.re (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (neg.f64 y.im)))) (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.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 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64))) (-.f64 (*.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 y.im (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))) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))) (fma.f64 (atan2.f64 x.im x.re) (*.f64 y.re (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (neg.f64 y.im)))) (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 y.im (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))) (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))) (-.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64))) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) (neg.f64 y.im))))
(pow.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 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 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))
(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 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))
(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 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))
(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 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.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 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.re)))
(log.f64 (*.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.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)))
(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 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.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 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 y.re (atan2.f64 x.im x.re)))
(exp.f64 (log.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.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 (log.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 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.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 y.re (atan2.f64 x.im x.re)))
(fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.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.im x.re)) (*.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 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 #s(literal 1 binary64) (*.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 y.re (atan2.f64 x.im x.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.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.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (*.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 y.re (atan2.f64 x.im x.re)))
(fma.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.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))

eval426.0ms (1.7%)

Compiler

Compiled 26997 to 8412 computations (68.8% saved)

prune173.0ms (0.7%)

Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New52426550
Fresh000
Picked202
Done000
Total52626552
Accuracy
97.7%
Counts
552 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.9%
(*.f64 (pow.f64 (hypot.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)))))
42.4%
(*.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 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
32.2%
(*.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 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
17.6%
(*.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 (+.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))))))
▶40.3%
(*.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 (*.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)))))
73.2%
(*.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 (pow.f64 (cbrt.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 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
50.9%
(*.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 (expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
54.4%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.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)))))
▶74.0%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
14.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #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))))
65.5%
(*.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))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (*.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
63.5%
(*.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))) (-.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (*.f64 y.re (*.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
19.7%
(*.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))) (+.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))))))
52.1%
(*.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 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))))))))
29.9%
(*.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 (*.f64 (log.f64 (+.f64 x.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶44.5%
(*.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 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
44.5%
(*.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 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (atan2.f64 x.im x.re)) y.re)))))
26.8%
(*.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 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
35.8%
(*.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 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶35.9%
(*.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 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
26.1%
(*.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))))
▶64.3%
(*.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 y.re (atan2.f64 x.im x.re))))
65.5%
(*.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 y.im (log.f64 (hypot.f64 x.im x.re)))))
39.6%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (fabs.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (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))))
17.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.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))))
54.4%
(*.f64 (exp.f64 (*.f64 y.im (neg.f64 (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)))))
Compiler

Compiled 1936 to 1108 computations (42.8% saved)

localize1.9s (7.6%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (atan2.f64 x.im x.re) y.re)
✓99.0%
(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
✓97.2%
(cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))
95.2%
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
✓100.0%
(+.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)))
✓99.9%
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
✓99.6%
(*.f64 y.re (atan2.f64 x.im x.re))
✓97.2%
(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))))
99.9%
(*.f64 (atan2.f64 x.im x.re) y.im)
99.6%
(*.f64 (atan2.f64 x.im x.re) y.re)
✓97.2%
(cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
95.2%
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
99.9%
(*.f64 (atan2.f64 x.im x.re) y.im)
✓99.6%
(*.f64 y.re (atan2.f64 x.im x.re))
✓97.2%
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
95.2%
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
100.0%
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
✓99.6%
(*.f64 y.re (atan2.f64 x.im x.re))
✓97.2%
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
Results
176.0ms160×256invalid
1.3s39×8192exit
33.0ms27×256unsamplable
23.0ms19×256valid
84.0ms11×2048valid
Compiler

Compiled 738 to 97 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-log: 528.0ms (32.7% of total)
ival-cos: 383.0ms (23.7% of total)
ival-pow: 291.0ms (18% of total)
composed: 135.0ms (8.4% of total)
ival-mult: 95.0ms (5.9% of total)
ival-exp: 53.0ms (3.3% of total)
ival-div: 40.0ms (2.5% of total)
ival-add: 31.0ms (1.9% of total)
ival-atan2: 26.0ms (1.6% of total)
ival-sqrt: 13.0ms (0.8% of total)
ival-sub: 11.0ms (0.7% of total)
const: 6.0ms (0.4% of total)
ival-cbrt: 6.0ms (0.4% of total)

series278.0ms (1.1%)

Counts
11 → 234
Calls
Call 1
Inputs
#<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 (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.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 (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.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 y.re (atan2.f64 x.im x.re)))>
#<alt (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))>
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 (cos.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 (-.f64 (*.f64 y.re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.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))))))) (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 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))))))) (*.f64 (sin.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))))))) (atan2.f64 x.im x.re)))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (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))))>
#<alt (cos.f64 (+.f64 (*.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)))) (*.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 (cos.f64 (+.f64 (*.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)))) (*.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 (cos.f64 (+.f64 (*.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)))) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
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#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
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#<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)))>
#<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 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
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Calls

111 calls:

TimeVariablePointExpression
67.0ms
x.re
@0
(cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re))))
41.0ms
y.im
@0
(* y.im (log (/ -1 x.im)))
21.0ms
x.im
@0
(cos (+ (* (log x.re) y.im) (* (atan2 x.im x.re) y.re)))
18.0ms
x.im
@inf
(cos (+ (* -1 (* y.im (log (/ -1 x.im)))) (* y.re (atan2 x.im x.re))))
16.0ms
x.re
@-inf
(cos (+ (* (log x.re) y.im) (* (atan2 x.im x.re) y.re)))

rewrite140.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
277×log1p-expm1-u
277×expm1-log1p-u
276×add-exp-log
271×add-log-exp
271×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043399
1698387
Stop Event
1×node limit
Counts
11 → 361
Calls
Call 1
Inputs
(cos.f64 (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))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(cos.f64 (+.f64 (*.f64 (log.f64 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.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))))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(+.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 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.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))
Outputs
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (neg.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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 (hypot.f64 x.re x.im) y.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))))
(-.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) #s(literal 1 binary64))
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(fma.f64 (sqrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (sqrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (neg.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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 (hypot.f64 x.re x.im) y.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))))
(-.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))))
(*.f64 #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)))))
(*.f64 (cbrt.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 (cbrt.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)))
(*.f64 (pow.f64 (cbrt.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)) (cbrt.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 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.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 (-.f64 (pow.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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 (hypot.f64 x.re 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 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (*.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(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 1 binary64))
(pow.f64 (cbrt.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 3 binary64))
(pow.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 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 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.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(log.f64 (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))))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)))))))
(cbrt.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 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))))
(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))))))
(log1p.f64 (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))))))
(exp.f64 (log.f64 (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 (log.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 1 binary64)))
(fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.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 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))

simplify423.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
709×fma-define
491×fma-neg
470×distribute-lft-neg-in
349×sub-neg
305×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096543762
1242542942
2605142090
Stop Event
1×node limit
Counts
595 → 398
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))))))
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(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(fma.f64 (atan2.f64 x.im x.re) y.re (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(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)))
(fma.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal -1 binary64) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(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)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(fma.f64 (sqrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (sqrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 (neg.f64 y.im) (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (neg.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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 (hypot.f64 x.re x.im) y.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))))))
(-.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im)))))
(*.f64 #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)))))
(*.f64 (cbrt.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 (cbrt.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)))
(*.f64 (pow.f64 (cbrt.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)) (cbrt.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 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.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 (-.f64 (pow.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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 (hypot.f64 x.re 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 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (*.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re 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 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(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 1 binary64))
(pow.f64 (cbrt.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 3 binary64))
(pow.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 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 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.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(log.f64 (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))))))
(log.f64 (+.f64 #s(literal 1 binary64) (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)))))))
(cbrt.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 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))))
(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))))))
(log1p.f64 (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))))))
(exp.f64 (log.f64 (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 (log.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 1 binary64)))
(fma.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.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 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #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.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im))))
(+.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)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64))))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(+.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)))))))
(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.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.f64 y.im (pow.f64 x.im #s(literal 4 binary64)))) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64)))))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(+.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)))))))
(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.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.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)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (neg.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 #s(literal 1/6 binary64) y.im) (pow.f64 x.im #s(literal 6 binary64))))))) (*.f64 (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.f64 y.im (pow.f64 x.im #s(literal 4 binary64)))) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))) (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64)))))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.im)))))
(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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(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 1 binary64))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (cbrt.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 3 binary64))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(pow.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 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(pow.f64 (sqrt.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))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(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)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
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(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (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 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(cbrt.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 3 binary64)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.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))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.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))))))
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(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
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eval1.7s (6.9%)

Compiler

Compiled 75704 to 24169 computations (68.1% saved)

prune647.0ms (2.6%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New1839181857
Fresh12921
Picked505
Done000
Total1856271883
Accuracy
98.1%
Counts
1883 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.9%
(*.f64 (pow.f64 (hypot.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)))))
32.2%
(*.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 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
41.5%
(*.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 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 3 binary64))) (*.f64 y.re (atan2.f64 x.im x.re)))))
42.0%
(*.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 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im))) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
41.5%
(*.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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
15.3%
(*.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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (sqrt.f64 y.im)) (sqrt.f64 y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
33.3%
(*.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 (*.f64 #s(literal -1 binary64) (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))) (*.f64 y.re (atan2.f64 x.im x.re)))))
73.2%
(*.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 (pow.f64 (cbrt.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 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
40.3%
(*.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.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
54.4%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.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)))))
74.0%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (log1p.f64 (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)))))))
▶32.2%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶75.9%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
29.2%
(*.f64 (exp.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.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
▶53.0%
(*.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))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
35.9%
(*.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))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im (log.f64 x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
26.8%
(*.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 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
35.8%
(*.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 (neg.f64 x.im)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
26.1%
(*.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))))
65.5%
(*.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 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶65.5%
(*.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))) #s(literal 1 binary64))
60.5%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (fabs.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
34.5%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
43.2%
(*.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 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
41.2%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
32.1%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
54.4%
(*.f64 (exp.f64 (*.f64 y.im (neg.f64 (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)))))
Compiler

Compiled 1666 to 1008 computations (39.5% saved)

localize1.1s (4.3%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.f64 y.im (log.f64 x.im))
99.6%
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
99.2%
(*.f64 y.re (atan2.f64 x.im x.re))
✓91.5%
(cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
✓99.9%
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))
99.2%
(*.f64 y.re (atan2.f64 x.im x.re))
✓96.5%
(*.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))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
89.8%
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
99.9%
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
99.2%
(*.f64 y.re (atan2.f64 x.im x.re))
91.4%
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓100.0%
(-.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))
✓99.9%
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
99.9%
(*.f64 (atan2.f64 x.im x.re) y.im)
89.8%
(sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
✓100.0%
(-.f64 (exp.f64 (log1p.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 1 binary64))
✓99.9%
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
99.6%
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
✓96.1%
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
Results
107.0ms123×256invalid
601.0ms40×8192exit
34.0ms39×256valid
23.0ms27×256unsamplable
143.0ms27×2048valid
Compiler

Compiled 586 to 67 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 835.0ms
ival-pow: 237.0ms (28.4% of total)
ival-log: 159.0ms (19.1% of total)
ival-cos: 132.0ms (15.8% of total)
composed: 95.0ms (11.4% of total)
ival-mult: 80.0ms (9.6% of total)
ival-exp: 42.0ms (5% of total)
ival-add: 25.0ms (3% of total)
ival-atan2: 25.0ms (3% of total)
ival-sqrt: 16.0ms (1.9% of total)
ival-sub: 14.0ms (1.7% of total)
const: 6.0ms (0.7% of total)
ival-div: 4.0ms (0.5% of total)

series132.0ms (0.5%)

Counts
9 → 312
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))>
#<alt (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))>
#<alt (-.f64 (exp.f64 (log1p.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 1 binary64))>
#<alt (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.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))>
#<alt (*.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))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #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 y.im (log.f64 x.im))>
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 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #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 (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 1/24 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (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 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 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #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 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (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 4 binary64))))))))>
#<alt (cos.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)))))))>
#<alt (cos.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)))))))>
#<alt (cos.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)))))))>
#<alt (cos.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)))))))>
#<alt (cos.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)))))))>
#<alt (cos.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)))))))>
#<alt (cos.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)))))))>
#<alt (cos.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)))))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 x.re)))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re))))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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.re)))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 x.im #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.re)))) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (+.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 6 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))>
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#<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 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 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 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))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))>
#<alt (*.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 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 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 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))>
Calls

90 calls:

TimeVariablePointExpression
14.0ms
x.re
@0
(cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))
13.0ms
y.im
@0
(* y.im (log x.im))
8.0ms
y.re
@0
(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
7.0ms
x.im
@inf
(cos (+ (* y.im (log x.im)) (* y.re (atan2 x.im x.re))))
6.0ms
y.im
@0
(* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re)))))

rewrite106.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
301×log1p-expm1-u
301×expm1-log1p-u
293×add-exp-log
290×add-log-exp
289×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046371
1738371
Stop Event
1×node limit
Counts
9 → 297
Calls
Call 1
Inputs
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.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 1 binary64))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.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 (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))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))
(cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.im (log.f64 x.im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(*.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))))
(cbrt.f64 (pow.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) #s(literal 3 binary64)))
(cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(expm1.f64 (log1p.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(log1p.f64 (expm1.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(exp.f64 (log.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))) #s(literal 1 binary64))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)) y.im)
(*.f64 (*.f64 y.im #s(literal 1 binary64)) (log.f64 (hypot.f64 x.im x.re)))
(*.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(*.f64 (*.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) 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)))
(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.im x.re) y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal -1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 1 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))) (exp.f64 (fma.f64 (neg.f64 y.im) (atan2.f64 x.im x.re) (*.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.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) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.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 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (/.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 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 1 binary64)) (/.f64 (sqrt.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 (sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.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 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (neg.f64 (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.im x.re) y.re)))
(pow.f64 (*.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) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
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(pow.f64 (sqrt.f64 (*.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) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
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(exp.f64 (log.f64 (*.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) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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(*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
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(*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))
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(*.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1 binary64)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.re) (atan2.f64 x.im x.re))
(*.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (atan2.f64 x.im x.re)) y.re)
(*.f64 (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(+.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (neg.f64 (sin.f64 (*.f64 y.im (log.f64 x.im)))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(+.f64 (fma.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(-.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.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 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 x.im)))))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (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.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (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.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.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 x.im) (*.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 x.im) (*.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 x.im) (*.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 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64)))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 1 binary64))
(*.f64 y.im (log.f64 x.im))
(*.f64 #s(literal 1 binary64) (*.f64 y.im (log.f64 x.im)))
(*.f64 (log.f64 x.im) y.im)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) (sqrt.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)) y.im)
(*.f64 (*.f64 y.im #s(literal 1 binary64)) (log.f64 x.im))
(*.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 x.im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x.im)))
(*.f64 (*.f64 y.im (sqrt.f64 (log.f64 x.im))) (sqrt.f64 (log.f64 x.im)))
(*.f64 (*.f64 (log.f64 x.im) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(*.f64 (*.f64 (log.f64 x.im) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 x.im y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.im y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))
(log1p.f64 (-.f64 (pow.f64 x.im y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 1 binary64)))

simplify271.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
534×distribute-lft-in
512×*-commutative
354×times-frac
290×+-commutative
196×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0155657007
1467156186
Stop Event
1×node limit
Counts
609 → 696
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 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (*.f64 (*.f64 (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.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))) (+.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.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 x.im) (*.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 x.im) (*.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 x.im) (*.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 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64)))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 1 binary64))
(*.f64 y.im (log.f64 x.im))
(*.f64 #s(literal 1 binary64) (*.f64 y.im (log.f64 x.im)))
(*.f64 (log.f64 x.im) y.im)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) (sqrt.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)) y.im)
(*.f64 (*.f64 y.im #s(literal 1 binary64)) (log.f64 x.im))
(*.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 x.im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x.im)))
(*.f64 (*.f64 y.im (sqrt.f64 (log.f64 x.im))) (sqrt.f64 (log.f64 x.im)))
(*.f64 (*.f64 (log.f64 x.im) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(*.f64 (*.f64 (log.f64 x.im) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 x.im y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.im y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))
(log1p.f64 (-.f64 (pow.f64 x.im y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (log.f64 x.im))) #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 (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 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #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 (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 1/24 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (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 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 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #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 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #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 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 6 binary64)))) (*.f64 #s(literal 1/24 binary64) (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 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 (hypot.f64 x.im x.re)) #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 (hypot.f64 x.im x.re)) #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 4 binary64))))))))
(cos.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)))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.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)))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.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)))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.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)))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.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)))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.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)))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.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)))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.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)))))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re))))) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (/.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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.re)))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (*.f64 y.im (/.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (/.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 2 binary64))))))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 x.im #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.re)))) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (+.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 6 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 4 binary64))))) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 6 binary64))))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 6 binary64))))))) (*.f64 (*.f64 y.im (/.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 y.im (/.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 2 binary64))))))))
(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))
(cos.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))
(+.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)))))
(+.f64 (cos.f64 (*.f64 y.im (neg.f64 (log.f64 x.im)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (sin.f64 (*.f64 y.im (neg.f64 (log.f64 x.im))))))) (pow.f64 x.im #s(literal 2 binary64))))
(-.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 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 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 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))))))
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(pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 2 binary64))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 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 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (exp.f64 (cos.f64 (fma.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))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.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))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64)))
(cos.f64 (fma.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))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.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))))
(exp.f64 (log.f64 (cos.f64 (fma.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))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64)))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (neg.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(-.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(*.f64 #s(literal 1 binary64) (*.f64 y.im (log.f64 x.im)))
(*.f64 y.im (log.f64 x.im))
(*.f64 (log.f64 x.im) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) (sqrt.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(*.f64 (*.f64 (log.f64 x.im) #s(literal 1 binary64)) y.im)
(*.f64 y.im (log.f64 x.im))
(*.f64 (*.f64 y.im #s(literal 1 binary64)) (log.f64 x.im))
(*.f64 y.im (log.f64 x.im))
(*.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 x.im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x.im)))
(*.f64 y.im (log.f64 x.im))
(*.f64 (*.f64 y.im (sqrt.f64 (log.f64 x.im))) (sqrt.f64 (log.f64 x.im)))
(*.f64 y.im (log.f64 x.im))
(*.f64 (*.f64 (log.f64 x.im) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(*.f64 y.im (log.f64 x.im))
(*.f64 (*.f64 (log.f64 x.im) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(*.f64 y.im (log.f64 x.im))
(pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 1 binary64))
(*.f64 y.im (log.f64 x.im))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 3 binary64))
(*.f64 y.im (log.f64 x.im))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.im (log.f64 x.im))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 2 binary64))
(*.f64 y.im (log.f64 x.im))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y.im (log.f64 x.im)))
(log.f64 (pow.f64 x.im y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.im y.im) #s(literal 1 binary64))))
(log1p.f64 (+.f64 (pow.f64 x.im y.im) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)))
(*.f64 y.im (log.f64 x.im))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im))))
(log1p.f64 (-.f64 (pow.f64 x.im y.im) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (pow.f64 x.im y.im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 x.im))))
(*.f64 y.im (log.f64 x.im))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 1 binary64)))
(*.f64 y.im (log.f64 x.im))

eval1.9s (7.5%)

Compiler

Compiled 104729 to 41443 computations (60.4% saved)

prune1.2s (4.8%)

Pruning

38 alts after pruning (37 fresh and 1 done)

PrunedKeptTotal
New2458312489
Fresh16622
Picked415
Done000
Total2478382516
Accuracy
98.1%
Counts
2516 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.7%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.im x.re) y.re))
61.4%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (fma.f64 y.im (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y.im) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)))) (*.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)))))
63.9%
(*.f64 (pow.f64 (hypot.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 y.re (atan2.f64 x.im x.re)))))))
39.0%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
29.2%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
18.1%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.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))))))
24.9%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
33.7%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
64.3%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 (pow.f64 (cbrt.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 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
64.7%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
66.7%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
48.3%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
41.5%
(*.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 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 3 binary64))) (*.f64 y.re (atan2.f64 x.im x.re)))))
42.0%
(*.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 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im))) y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
41.5%
(*.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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
15.3%
(*.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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (sqrt.f64 y.im)) (sqrt.f64 y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
23.8%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (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)))))
54.8%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
32.2%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
▶34.2%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
19.1%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 y.re (atan2.f64 x.im x.re)))))
31.5%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 3 binary64)) (*.f64 y.re (atan2.f64 x.im x.re)))))
27.5%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
▶74.9%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))))
56.0%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))))
▶54.8%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
30.2%
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
33.3%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 x.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
26.8%
(*.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 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓65.5%
(*.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))) #s(literal 1 binary64))
61.3%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (fabs.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
35.3%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
38.0%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
43.2%
(*.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 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
39.3%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
33.3%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
51.8%
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
▶53.7%
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
Compiler

Compiled 2046 to 1304 computations (36.3% saved)

localize1.5s (6%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
99.6%
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
99.2%
(*.f64 y.re (atan2.f64 x.im x.re))
✓91.5%
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
99.9%
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
✓99.9%
(*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))
✓99.6%
(log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
96.1%
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
99.9%
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))
99.2%
(*.f64 y.re (atan2.f64 x.im x.re))
✓96.5%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.im x.re) y.re))
✓99.9%
(*.f64 y.im (atan2.f64 x.im x.re))
✓99.8%
(cbrt.f64 y.im)
✓99.8%
(pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))
99.6%
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
✓96.1%
(cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im)))
Results
156.0ms123×256invalid
752.0ms40×8192exit
42.0ms39×256valid
26.0ms27×256unsamplable
171.0ms27×2048valid
Compiler

Compiled 476 to 86 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-pow: 279.0ms (24.9% of total)
ival-cos: 209.0ms (18.7% of total)
ival-mult: 147.0ms (13.1% of total)
composed: 138.0ms (12.3% of total)
ival-log: 126.0ms (11.2% of total)
ival-exp: 111.0ms (9.9% of total)
ival-atan2: 23.0ms (2.1% of total)
ival-sub: 22.0ms (2% of total)
ival-add: 22.0ms (2% of total)
ival-sqrt: 12.0ms (1.1% of total)
const: 8.0ms (0.7% of total)
ival-cbrt: 8.0ms (0.7% of total)
ival-neg: 7.0ms (0.6% of total)
ival-div: 4.0ms (0.4% of total)
ival-fabs: 3.0ms (0.3% of total)

series457.0ms (1.9%)

Counts
9 → 256
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im)))>
#<alt (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))>
#<alt (cbrt.f64 y.im)>
#<alt (*.f64 y.im (atan2.f64 x.im x.re))>
#<alt (*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.im x.re) y.re))>
#<alt (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))>
#<alt (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))>
#<alt (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))>
Outputs
#<alt (cos.f64 (*.f64 y.im (log.f64 x.re)))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re))))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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.re)))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))))>
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#<alt (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))>
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#<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 1/8 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 6 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 6 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 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 4 binary64)))) (+.f64 (*.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)))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x.re #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.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))))))>
#<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 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 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 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 1/8 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 6 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 6 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 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 4 binary64)))) (+.f64 (*.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)))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (+.f64 (*.f64 #s(literal -1/48 binary64) (*.f64 (pow.f64 x.re #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.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))))))>
#<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 (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 -1/4 binary64) (/.f64 (*.f64 y.im (sin.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 (*.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 (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 6 binary64)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (+.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 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 (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #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.re))))))) (pow.f64 x.re #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.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 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re))))))) (pow.f64 x.re #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.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 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.re))))))) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))>
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#<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)))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.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 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.im (log.f64 x.im))>
#<alt (*.f64 y.im (+.f64 (log.f64 x.im) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))>
#<alt (*.f64 y.im (+.f64 (log.f64 x.im) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))>
#<alt (*.f64 y.im (+.f64 (log.f64 x.im) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))>
#<alt (*.f64 y.im (log.f64 x.im))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y.im (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 x.im)) (*.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 x.im)) (*.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 x.im)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 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 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 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 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 (+.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 (+.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 (+.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 (*.f64 y.im (log.f64 x.im))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.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 x.im)) y.re) (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.re (+.f64 (/.f64 (*.f64 y.im (log.f64 x.im)) y.re) (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.re (+.f64 (/.f64 (*.f64 y.im (log.f64 x.im)) 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 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y.im (log.f64 x.im)) y.re)) (*.f64 #s(literal -1 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 x.im)) y.re)) (*.f64 #s(literal -1 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 x.im)) y.re)) (*.f64 #s(literal -1 binary64) (atan2.f64 x.im x.re)))))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))>
Calls

75 calls:

TimeVariablePointExpression
171.0ms
x.re
@-inf
(log (+ 1 (exp (* y.im (neg (atan2 x.im x.re))))))
81.0ms
x.im
@-inf
(log (+ 1 (exp (* y.im (neg (atan2 x.im x.re))))))
51.0ms
x.im
@inf
(log (+ 1 (exp (* y.im (neg (atan2 x.im x.re))))))
21.0ms
x.re
@inf
(log (+ 1 (exp (* y.im (neg (atan2 x.im x.re))))))
20.0ms
x.im
@0
(log (+ 1 (exp (* y.im (neg (atan2 x.im x.re))))))

rewrite179.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
786×prod-diff
601×log1p-expm1-u
232×associate-*r*
224×expm1-log1p-u
220×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037277
1513273
26000273
Stop Event
1×node limit
Counts
9 → 246
Calls
Call 1
Inputs
(cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im)))
(pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))
(cbrt.f64 y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.im x.re) y.re))
(log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(*.f64 y.im (neg.f64 (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))))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (sqrt.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(pow.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 3 binary64)))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 y.im) (cbrt.f64 y.im))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 y.im)) (cbrt.f64 y.im)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 y.im #s(literal 1/6 binary64)) (*.f64 (pow.f64 y.im #s(literal 1/6 binary64)) (cbrt.f64 y.im)))
(*.f64 (sqrt.f64 y.im) (pow.f64 y.im #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 y.im) (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y.im)))
(pow.f64 y.im #s(literal 2/3 binary64))
(pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.im #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y.im))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 y.im))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 y.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 y.im))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y.im)))
(*.f64 (cbrt.f64 (cbrt.f64 y.im)) (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))
(*.f64 (pow.f64 y.im #s(literal 1/6 binary64)) (pow.f64 y.im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 y.im))
(*.f64 (pow.f64 (sqrt.f64 y.im) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 y.im) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))))
(pow.f64 y.im #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 y.im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(fabs.f64 (cbrt.f64 y.im))
(log.f64 (exp.f64 (cbrt.f64 y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 y.im))))
(cbrt.f64 y.im)
(expm1.f64 (log1p.f64 (cbrt.f64 y.im)))
(log1p.f64 (expm1.f64 (cbrt.f64 y.im)))
(exp.f64 (log.f64 (cbrt.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 y.im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(-.f64 #s(literal 0 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 1 binary64))
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y.im) (atan2.f64 x.im x.re)))
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(*.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (cos.f64 (*.f64 y.im (log.f64 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 x.im)))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 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 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(pow.f64 (cos.f64 (fma.f64 y.im (log.f64 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 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 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 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 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 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64)))
(+.f64 (*.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 (atan2.f64 x.im x.re) y.re))
(+.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 1 binary64)) (*.f64 (atan2.f64 x.im x.re) y.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (sqrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.im (log.f64 x.im))) (-.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (*.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (-.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.im (log.f64 x.im))) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64))) (-.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(pow.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y.im (log.f64 x.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 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cbrt.f64 (pow.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(log1p.f64 (expm1.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (log.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64)))
(fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))

simplify212.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
615×fma-define
350×*-commutative
320×distribute-lft-in
317×distribute-rgt-in
292×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
098029543
1258928221
2648427724
Stop Event
1×node limit
Counts
502 → 371
Calls
Call 1
Inputs
(cos.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re))))) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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.re)))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))))
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(cos.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(*.f64 (*.f64 y.im (sqrt.f64 (atan2.f64 x.im x.re))) (sqrt.f64 (atan2.f64 x.im x.re)))
(*.f64 (*.f64 (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))
(*.f64 (*.f64 (atan2.f64 x.im x.re) (sqrt.f64 y.im)) (sqrt.f64 y.im))
(pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64))
(neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (cos.f64 (*.f64 y.im (log.f64 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 x.im)))))) (fma.f64 (neg.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (sin.f64 (*.f64 y.im (log.f64 x.im))) (*.f64 (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) (sin.f64 (*.f64 y.im (log.f64 x.im))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.im))) (cos.f64 (*.f64 (atan2.f64 x.im x.re) y.re))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (sin.f64 (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 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 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) (sqrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(pow.f64 (cos.f64 (fma.f64 y.im (log.f64 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 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 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 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 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 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64)))
(+.f64 (*.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 (atan2.f64 x.im x.re) y.re))
(+.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 1 binary64)) (*.f64 (atan2.f64 x.im x.re) y.re))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(*.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (sqrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.im (log.f64 x.im))) (-.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (*.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (-.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.im (log.f64 x.im))) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64))) (-.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(pow.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y.im (log.f64 x.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 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cbrt.f64 (pow.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(log1p.f64 (expm1.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (log.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64)))
(fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))
Outputs
(cos.f64 (*.f64 y.im (log.f64 x.re)))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re))))) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64)))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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.re)))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (/.f64 y.im (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1/4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64))))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(+.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #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 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 x.im #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.re)))) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (+.f64 (*.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 6 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (cos.f64 (*.f64 y.im (log.f64 x.re))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 (fma.f64 #s(literal -1/48 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 y.im (pow.f64 x.re #s(literal 6 binary64))))) (sin.f64 (*.f64 y.im (neg.f64 (log.f64 x.re)))))) (*.f64 (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.re))) (/.f64 y.im (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1/4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y.im (sin.f64 (*.f64 y.im (log.f64 x.re)))) (pow.f64 x.re #s(literal 2 binary64))))) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(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)))
(+.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)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (sin.f64 (*.f64 y.im (log.f64 x.im))) (/.f64 y.im (pow.f64 x.im #s(literal 2 binary64))))) (cos.f64 (*.f64 y.im (log.f64 x.im))))
(-.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 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 4 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 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))))))
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(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)))
(cos.f64 (fma.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 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64)))
(cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 x.im)))
(fma.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 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 1 binary64)) (*.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 #s(literal 1 binary64) (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (sqrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.im (log.f64 x.im))) (-.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) (*.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64))) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 x.im) #s(literal 2 binary64)) (*.f64 (*.f64 y.re (atan2.f64 x.im x.re)) (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 x.im) (neg.f64 y.im))))))
(/.f64 (-.f64 (*.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.im (log.f64 x.im))) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64))) (-.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))
(/.f64 (-.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 x.im) #s(literal 2 binary64))) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))) (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))
(pow.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (pow.f64 (fma.f64 y.im (log.f64 x.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 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (exp.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (log.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64)))
(fma.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 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re)))

eval1.1s (4.5%)

Compiler

Compiled 54462 to 23606 computations (56.7% saved)

prune336.0ms (1.4%)

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New1206151221
Fresh112132
Picked415
Done101
Total1222371259
Accuracy
98.2%
Counts
1259 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.9%
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
24.3%
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
31.9%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x.im y.re))
63.9%
(*.f64 (pow.f64 (hypot.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 y.re (atan2.f64 x.im x.re)))))))
39.0%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
29.2%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
18.1%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.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))))))
24.9%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
33.7%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
64.3%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 (pow.f64 (cbrt.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 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
64.7%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
66.7%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
48.3%
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
15.3%
(*.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 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (sqrt.f64 y.im)) (sqrt.f64 y.im))) (*.f64 y.re (atan2.f64 x.im x.re)))))
23.8%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (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)))))
54.8%
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
32.3%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) #s(literal 1 binary64)) (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
66.9%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) #s(literal 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))))
19.1%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 y.re (atan2.f64 x.im x.re)))))
31.5%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 3 binary64)) (*.f64 y.re (atan2.f64 x.im x.re)))))
27.5%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 x.im)))) (*.f64 y.re (atan2.f64 x.im x.re)))))
73.6%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.im)) #s(literal 3 binary64)) #s(literal 2 binary64))) (cbrt.f64 y.im))))
31.0%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 (pow.f64 y.im #s(literal 1/6 binary64)) (*.f64 (pow.f64 y.im #s(literal 1/6 binary64)) (cbrt.f64 y.im)))) (cbrt.f64 y.im))))
77.2%
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))) (cbrt.f64 y.im))))
43.4%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #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 (hypot.f64 x.im x.re)) #s(literal 2 binary64))))))
54.0%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))))
40.9%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 (*.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))))
25.8%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
29.0%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 x.re))))
30.2%
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
35.3%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
38.0%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
39.3%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
33.3%
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
28.4%
(*.f64 #s(literal -1/2 binary64) (*.f64 (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)))
31.3%
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
✓53.7%
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
Compiler

Compiled 3322 to 1213 computations (63.5% saved)

regimes446.0ms (1.8%)

Counts
92 → 2
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
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(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 x.im))) #s(literal 3 binary64)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 y.im (log.f64 x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.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 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) #s(literal 2 binary64)) (*.f64 (cbrt.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 (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 (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 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 y.im))))
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.im (log.f64 x.im) (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 y.im (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))))
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (log1p.f64 (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)))))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 (pow.f64 (cbrt.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 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))))
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (*.f64 (pow.f64 y.im #s(literal 1/6 binary64)) (*.f64 (pow.f64 y.im #s(literal 1/6 binary64)) (cbrt.f64 y.im)))) (cbrt.f64 y.im))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (fma.f64 y.im (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y.im) (*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)))) (*.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 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))))) (cbrt.f64 y.im))))
(*.f64 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y.im)) #s(literal 3 binary64)) #s(literal 2 binary64))) (cbrt.f64 y.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 (*.f64 (pow.f64 (cbrt.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 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) y.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 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
Calls

5 calls:

145.0ms
x.re
109.0ms
y.im
86.0ms
y.re
84.0ms
x.im
7.0ms
(*.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
87.0%7x.re
83.4%5x.im
87.9%6y.re
83.9%4y.im
81.8%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 61 to 35 computations (42.6% saved)

regimes161.0ms (0.7%)

Counts
59 → 4
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x.im y.re))
(*.f64 #s(literal -1/2 binary64) (*.f64 (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 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 x.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.im x.re) y.re))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 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 (log.f64 x.re) 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 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (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 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (fabs.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(*.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 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 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.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.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.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 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (exp.f64 (*.f64 y.im (neg.f64 (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 (/.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.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.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) (fabs.f64 (*.f64 y.im (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))) (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))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.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))))))
(*.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 (neg.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 (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))) (cos.f64 (+.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 2 binary64))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (/.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 (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 (*.f64 y.im (log.f64 x.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 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #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 (hypot.f64 x.im x.re)) #s(literal 2 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 (+.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)))))
(*.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.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (expm1.f64 (log1p.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) (log1p.f64 (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)))))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) #s(literal 1 binary64)) (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 x.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))) (-.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (*.f64 (*.f64 y.im (log.f64 x.re)) (sin.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) (fabs.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (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 (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #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 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) #s(literal 1 binary64)) (cos.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 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 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 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.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))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
Calls

2 calls:

149.0ms
y.re
5.0ms
(*.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
85.2%4y.re
76.9%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 46 to 23 computations (50% saved)

regimes213.0ms (0.9%)

Counts
37 → 3
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x.im y.re))
(*.f64 #s(literal -1/2 binary64) (*.f64 (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 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 x.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.im x.re) y.re))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 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 (log.f64 x.re) 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 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (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 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (fabs.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(*.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 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 y.re (atan2.f64 x.im x.re))))
(*.f64 (exp.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.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.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 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (exp.f64 (*.f64 y.im (neg.f64 (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 (/.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.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.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) (fabs.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) (cos.f64 (*.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.re (atan2.f64 x.im x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
Calls

1 calls:

99.0ms
y.re
Results
AccuracySegmentsBranch
82.4%3y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes111.0ms (0.5%)

Counts
29 → 4
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x.im y.re))
(*.f64 #s(literal -1/2 binary64) (*.f64 (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 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 x.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.im x.re) y.re))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (+.f64 (*.f64 y.im (log.f64 x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))))
(*.f64 (exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 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 (log.f64 x.re) 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 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (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 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (fabs.f64 (*.f64 y.im (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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)))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 x.re))))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))) #s(literal 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(*.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 x.re) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
Outputs
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
Calls

1 calls:

108.0ms
y.re
Results
AccuracySegmentsBranch
84.0%4y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes29.0ms (0.1%)

Counts
14 → 4
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x.im y.re))
(*.f64 #s(literal -1/2 binary64) (*.f64 (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 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 x.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
Outputs
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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))) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
Calls

2 calls:

15.0ms
y.re
12.0ms
y.im
Results
AccuracySegmentsBranch
80.2%3y.im
83.2%4y.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes15.0ms (0.1%)

Counts
13 → 4
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x.im y.re))
(*.f64 #s(literal -1/2 binary64) (*.f64 (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 (exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 x.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
Outputs
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.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))) #s(literal 1 binary64))
(exp.f64 (neg.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))) #s(literal 1 binary64))
Calls

1 calls:

14.0ms
y.re
Results
AccuracySegmentsBranch
82.8%4y.re
Compiler

Compiled 5 to 4 computations (20% saved)

regimes110.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.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 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x.im y.re))
(*.f64 #s(literal -1/2 binary64) (*.f64 (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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
Calls

4 calls:

77.0ms
y.im
12.0ms
x.re
10.0ms
y.re
9.0ms
x.im
Results
AccuracySegmentsBranch
76.0%3y.im
76.7%3x.im
78.9%6x.re
78.6%3y.re
Compiler

Compiled 20 to 16 computations (20% saved)

regimes20.0ms (0.1%)

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

4 calls:

6.0ms
y.re
5.0ms
x.im
4.0ms
x.re
3.0ms
y.im
Results
AccuracySegmentsBranch
74.6%2x.re
53.7%1y.im
71.3%2x.im
62.4%3y.re
Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
Outputs
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
Calls

2 calls:

4.0ms
x.im
4.0ms
x.re
Results
AccuracySegmentsBranch
71.3%2x.im
66.3%2x.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0%)

Counts
5 → 2
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
Outputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
Calls

2 calls:

7.0ms
x.im
3.0ms
x.re
Results
AccuracySegmentsBranch
66.3%2x.re
64.9%4x.im
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0%)

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

2 calls:

4.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
63.1%2x.im
53.7%1x.re
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0%)

Accuracy

Total -16.5b remaining (-55.6%)

Threshold costs -16.5b (-55.6%)

Counts
3 → 1
Calls
Call 1
Inputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (neg.f64 (*.f64 (neg.f64 y.im) (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re #s(literal 1 binary64))
Outputs
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
Calls

2 calls:

2.0ms
x.im
2.0ms
y.re
Results
AccuracySegmentsBranch
53.7%1y.re
53.7%1x.im
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch2.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 48 to 25 computations (47.9% saved)

bsearch147.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
71.0ms
1.0319581987134182e-11
2.567175890431635e-8
45.0ms
-83818.96558674137
-0.01204916304839125
21.0ms
-1.7976407309128487e+165
-1.8473101630978025e+157
Results
74.0ms228×0valid
41.0ms91×1infinite
6.0ms12×1valid
1.0ms5×0infinite
Compiler

Compiled 1176 to 772 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 22.0ms (35% of total)
ival-log: 9.0ms (14.3% of total)
ival-cos: 7.0ms (11.1% of total)
ival-atan2: 5.0ms (8% of total)
ival-add: 5.0ms (8% of total)
ival-sqrt: 4.0ms (6.4% of total)
backward-pass: 4.0ms (6.4% of total)
ival-exp: 3.0ms (4.8% of total)
ival-sub: 2.0ms (3.2% of total)
const: 0.0ms (0% of total)

bsearch161.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
100.0ms
2.567175890431635e-8
495349776.3696352
52.0ms
-83818.96558674137
-0.01204916304839125
Results
42.0ms212×0valid
34.0ms68×1infinite
7.0ms16×1valid
3.0ms8×0infinite
Compiler

Compiled 897 to 582 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 22.0ms (37.3% of total)
ival-cos: 8.0ms (13.6% of total)
ival-log: 8.0ms (13.6% of total)
ival-atan2: 4.0ms (6.8% of total)
backward-pass: 4.0ms (6.8% of total)
ival-add: 4.0ms (6.8% of total)
ival-exp: 3.0ms (5.1% of total)
ival-sqrt: 3.0ms (5.1% of total)
ival-sub: 2.0ms (3.4% of total)
const: 0.0ms (0% of total)

bsearch243.0ms (1%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
129.0ms
2.567175890431635e-8
495349776.3696352
43.0ms
-83818.96558674137
-0.01204916304839125
58.0ms
-4.580919998572715e+176
-4.156712678992845e+170
Results
61.0ms313×0valid
137.0ms108×1infinite
9.0ms16×1valid
2.0ms11×0infinite
Compiler

Compiled 1230 to 825 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-mult: 43.0ms (44.2% of total)
ival-log: 15.0ms (15.4% of total)
ival-cos: 8.0ms (8.2% of total)
ival-atan2: 7.0ms (7.2% of total)
ival-add: 6.0ms (6.2% of total)
ival-exp: 5.0ms (5.1% of total)
ival-sqrt: 5.0ms (5.1% of total)
backward-pass: 5.0ms (5.1% of total)
ival-sub: 3.0ms (3.1% of total)
const: 1.0ms (1% of total)

bsearch115.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
47.0ms
2.567175890431635e-8
495349776.3696352
46.0ms
-83818.96558674137
-0.01204916304839125
12.0ms
-4.580919998572715e+176
-4.156712678992845e+170
Results
46.0ms244×0valid
32.0ms63×1infinite
11.0ms23×1valid
1.0ms6×0infinite
Compiler

Compiled 765 to 515 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 24.0ms (37.8% of total)
ival-cos: 8.0ms (12.6% of total)
ival-log: 8.0ms (12.6% of total)
ival-atan2: 5.0ms (7.9% of total)
ival-add: 5.0ms (7.9% of total)
ival-exp: 4.0ms (6.3% of total)
ival-sqrt: 4.0ms (6.3% of total)
backward-pass: 4.0ms (6.3% of total)
ival-sub: 2.0ms (3.2% of total)
const: 0.0ms (0% of total)

bsearch127.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
43.0ms
1.0319581987134182e-11
2.567175890431635e-8
45.0ms
-83818.96558674137
-0.01204916304839125
28.0ms
-4.580919998572715e+176
-4.156712678992845e+170
Results
45.0ms240×0valid
41.0ms86×1infinite
9.0ms20×1valid
1.0ms6×0infinite
Compiler

Compiled 887 to 607 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 26.0ms (38.7% of total)
ival-log: 9.0ms (13.4% of total)
ival-cos: 7.0ms (10.4% of total)
ival-atan2: 5.0ms (7.5% of total)
ival-add: 5.0ms (7.5% of total)
ival-exp: 4.0ms (6% of total)
ival-sqrt: 4.0ms (6% of total)
backward-pass: 4.0ms (6% of total)
ival-sub: 2.0ms (3% of total)
const: 0.0ms (0% of total)

bsearch104.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
51.0ms
2.567175890431635e-8
495349776.3696352
45.0ms
-83818.96558674137
-0.01204916304839125
Results
44.0ms222×0valid
30.0ms60×1infinite
6.0ms14×1valid
4.0ms8×0infinite
Compiler

Compiled 599 to 405 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 19.0ms (31.8% of total)
ival-log: 11.0ms (18.4% of total)
ival-add: 7.0ms (11.7% of total)
ival-cos: 6.0ms (10% of total)
ival-atan2: 4.0ms (6.7% of total)
ival-exp: 3.0ms (5% of total)
ival-sqrt: 3.0ms (5% of total)
backward-pass: 3.0ms (5% of total)
ival-sub: 2.0ms (3.3% of total)
const: 0.0ms (0% of total)

bsearch54.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
49.0ms
-8.909073425932464e-300
4.22282478091681e-309
Results
21.0ms97×0valid
22.0ms45×1infinite
0.0ms2×0infinite
Compiler

Compiled 381 to 268 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 10.0ms (30.6% of total)
ival-sqrt: 5.0ms (15.3% of total)
ival-log: 4.0ms (12.3% of total)
backward-pass: 4.0ms (12.3% of total)
ival-cos: 3.0ms (9.2% of total)
ival-add: 2.0ms (6.1% of total)
ival-atan2: 2.0ms (6.1% of total)
ival-exp: 1.0ms (3.1% of total)
ival-sub: 1.0ms (3.1% of total)
const: 0.0ms (0% of total)

bsearch48.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
45.0ms
-2.8589917683606066e-306
8.392133825902681e-308
Results
14.0ms75×0valid
19.0ms33×1infinite
5.0ms11×1valid
2.0ms9×0infinite
Compiler

Compiled 344 to 241 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 9.0ms (33.4% of total)
ival-cos: 6.0ms (22.2% of total)
ival-log: 4.0ms (14.8% of total)
ival-sqrt: 2.0ms (7.4% of total)
ival-atan2: 2.0ms (7.4% of total)
backward-pass: 2.0ms (7.4% of total)
ival-add: 2.0ms (7.4% of total)
ival-exp: 1.0ms (3.7% of total)
ival-sub: 1.0ms (3.7% of total)
const: 0.0ms (0% of total)

bsearch51.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
48.0ms
3.160496841428094e-300
1.7180083374338e-293
Results
17.0ms90×0valid
23.0ms53×1infinite
0.0ms1×0infinite
Compiler

Compiled 318 to 223 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (34.2% of total)
ival-log: 4.0ms (13.7% of total)
ival-cos: 3.0ms (10.2% of total)
ival-exp: 2.0ms (6.8% of total)
ival-sqrt: 2.0ms (6.8% of total)
ival-atan2: 2.0ms (6.8% of total)
backward-pass: 2.0ms (6.8% of total)
ival-add: 2.0ms (6.8% of total)
ival-sub: 1.0ms (3.4% of total)
const: 0.0ms (0% of total)

bsearch52.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
48.0ms
6.419092440974456e-260
2.92148576326336e-255
Results
11.0ms61×0valid
28.0ms54×1infinite
3.0ms7×1valid
1.0ms6×0infinite
Compiler

Compiled 288 to 201 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 11.0ms (34% of total)
ival-log: 4.0ms (12.3% of total)
ival-sqrt: 3.0ms (9.3% of total)
ival-sub: 3.0ms (9.3% of total)
ival-cos: 3.0ms (9.3% of total)
backward-pass: 3.0ms (9.3% of total)
ival-atan2: 2.0ms (6.2% of total)
ival-add: 2.0ms (6.2% of total)
ival-exp: 1.0ms (3.1% of total)
const: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
27×*-commutative
22×unsub-neg
17×neg-mul-1
15×+-commutative
12×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01432279
12182279
22382279
32502279
42752279
53182279
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.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) 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)))) #s(literal +inf.0 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 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(if (<=.f64 y.re #s(literal -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 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)))) (if (<=.f64 y.re #s(literal -1116892707587883/72057594037927936 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 3264099712959499/1208925819614629174706176 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.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))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(if (<=.f64 y.re #s(literal -5944751508129055/9007199254740992 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)))) (if (<=.f64 y.re #s(literal 5460236245818027/295147905179352825856 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.re #s(literal -79999999999999994972276196986950112802186460479174986201650005427615396821480827056300614270552726773876390578359200265296896414723662950636912969921424495707079135707380318208 binary64)) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re #s(literal -1080863910568919/36028797018963968 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.re #s(literal 8070450532247929/288230376151711744 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(if (<=.f64 y.re #s(literal -400000000000000002979592200829727956576797975433261548943857016525055940987126464105487950549562823363386241041113858513490173533123909273236227696446495534838615558944175685632 binary64)) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re #s(literal -5764607523034235/288230376151711744 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.re #s(literal 6456360425798343/4611686018427387904 binary64)) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(if (<=.f64 y.re #s(literal -9999999999999999371534524623368764100273307559896873275206250678451924602685103382037576783819090846734548822294900033162112051840457868829614121240178061963384891963422539776 binary64)) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re #s(literal -1188950301625811/72057594037927936 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.re #s(literal 4835703278458517/2417851639229258349412352 binary64)) (exp.f64 (neg.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))) #s(literal 1 binary64)))))
(if (<=.f64 y.re #s(literal -7493989779944505/576460752303423488 binary64)) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 y.re #s(literal 4722366482869645/1180591620717411303424 binary64)) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(if (<=.f64 x.re #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.re)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)))
(if (<=.f64 x.im #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 x.im)) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)))
(if (<=.f64 x.re #s(literal 4429792009966261/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)))
(if (<=.f64 x.im #s(literal 9001800702051809/138489241570027830339787760577155329299276713436413040296712132107088403511830081562061637127414005863461524601112396740396934118638271997477005289970188832449072118890235188784327954969769132963403984511490113773016980728775065400466052716630386010092873601750856629835792384 binary64)) (exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
Outputs
(if (<=.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) 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)))) #s(literal +inf.0 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 (-.f64 (exp.f64 (log1p.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 1 binary64)) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(if (<=.f64 (*.f64 (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im 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)))) #s(literal +inf.0 binary64)) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.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 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (+.f64 (exp.f64 (log1p.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 -1 binary64))))
(if (<=.f64 y.re #s(literal -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 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)))) (if (<=.f64 y.re #s(literal -1116892707587883/72057594037927936 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 3264099712959499/1208925819614629174706176 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.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))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(if (<=.f64 y.re #s(literal -100000000000000003774589324822814887066163651282028976933086588120176268637538771050475113919654290478469527765363729011764432297892058199009821165792668120252416 binary64)) (*.f64 (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)))) (if (or (<=.f64 y.re #s(literal -1116892707587883/72057594037927936 binary64)) (not (<=.f64 y.re #s(literal 3264099712959499/1208925819614629174706176 binary64)))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.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 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))))
(if (<=.f64 y.re #s(literal -5944751508129055/9007199254740992 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)))) (if (<=.f64 y.re #s(literal 5460236245818027/295147905179352825856 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))))
(if (<=.f64 y.re #s(literal -5944751508129055/9007199254740992 binary64)) (*.f64 (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)))) (if (<=.f64 y.re #s(literal 5460236245818027/295147905179352825856 binary64)) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))) (*.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
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(exp.f64 (neg.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))

soundness1.2s (4.7%)

Rules
1291×log1p-expm1-u
871×fma-define
728×associate-*l*
709×fma-define
697×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033287
1499287
25573287
0155657007
1467156186
096543762
1242542942
2605142090
01491920
14031848
28521846
315951840
432021840
552961840
674431840
0114146208
1332345250
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1676 to 509 computations (69.6% saved)

preprocess144.0ms (0.6%)

Compiler

Compiled 1186 to 310 computations (73.9% saved)

end0.0ms (0%)

Profiling

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