Metrics for powComplex, real part

analyze493.0ms (2.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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: 290.0ms

ival-mult: 133.0ms (45.8% of total)

ival-log: 28.0ms (9.7% of total)

ival-add: 27.0ms (9.3% of total)

ival-atan2: 25.0ms (8.6% of total)

ival-sqrt: 25.0ms (8.6% of total)

ival-exp: 22.0ms (7.6% of total)

ival-cos: 15.0ms (5.2% of total)

ival-sub: 12.0ms (4.1% of total)

const: 2.0ms (0.7% of total)

backward-pass: 1.0ms (0.3% of total)

sample4.3s (18.2%)

Results

2.2s	2982×	1	valid
1.5s	5274×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-mult: 1.3s (44% of total)

ival-cos: 326.0ms (11.4% of total)

ival-log: 301.0ms (10.5% of total)

ival-sqrt: 268.0ms (9.3% of total)

ival-sub: 220.0ms (7.7% of total)

ival-add: 167.0ms (5.8% of total)

backward-pass: 126.0ms (4.4% of total)

ival-atan2: 118.0ms (4.1% of total)

ival-exp: 74.0ms (2.6% of total)

const: 7.0ms (0.2% of total)

Bogosity

preprocess187.0ms (0.8%)

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)

Iter	Nodes	Cost
0	149	1920
1	403	1848
2	852	1846
3	1595	1840
4	3202	1840
5	5296	1840
6	7443	1840

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im (neg.f64 x.re)) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.re) (.f64 (atan2.f64 (neg.f64 x.im) x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.im) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(neg.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im (neg.f64 x.re)) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.re)))))
(neg.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.re) (.f64 (atan2.f64 (neg.f64 x.im) x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.im) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.re)))))
(neg.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))
(neg.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.re x.im) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) x.re) (.f64 (atan2.f64 x.im y.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im y.im) x.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) x.im) (.f64 (atan2.f64 y.re x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) y.re) (.f64 (atan2.f64 y.im x.re) x.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im (neg.f64 x.re)) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.re))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (.f64 y.im (atan2.f64 x.im (neg.f64 x.re)))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im (neg.f64 x.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im (neg.f64 x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im (neg.f64 x.re))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.re) (.f64 (atan2.f64 (neg.f64 x.im) x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.im) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 (neg.f64 x.im) x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 (neg.f64 x.im) x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 (neg.f64 x.im) x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 (neg.f64 x.im) x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.im) (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(neg.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im (neg.f64 x.re)) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im (neg.f64 x.re)) y.re)))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (.f64 y.im (atan2.f64 x.im (neg.f64 x.re)))))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im (neg.f64 x.re)))))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im (neg.f64 x.re))))) (/.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im (neg.f64 x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im (neg.f64 x.re)))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im (neg.f64 x.re)))))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im (neg.f64 x.re))))) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im (neg.f64 x.re))))))
(neg.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.re) (.f64 (atan2.f64 (neg.f64 x.im) x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))))) y.im) (*.f64 (atan2.f64 (neg.f64 x.im) x.re) y.re)))))
(.f64 (neg.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 y.im (atan2.f64 (neg.f64 x.im) x.re))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 (neg.f64 x.im) x.re)))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 (neg.f64 x.im) x.re)))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 (neg.f64 x.im) x.re)))))
(neg.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (neg.f64 y.re)) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) (neg.f64 y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(neg.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (neg.f64 y.im)) (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (hypot.f64 x.re x.im)) y.re) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.im) (.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 y.im) (*.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (neg.f64 (atan2.f64 x.im x.re))))) (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.re) (.f64 (atan2.f64 x.re x.im) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re)))) y.im) (*.f64 (atan2.f64 x.re x.im) y.re))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (.f64 y.im (atan2.f64 x.re x.im))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.re x.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.re x.im))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.re x.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) x.re) (.f64 (atan2.f64 x.im y.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im y.re) x.re))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 y.re x.im)) x.re (neg.f64 (.f64 y.im (atan2.f64 x.im y.re))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 y.re x.im)) y.im (*.f64 x.re (atan2.f64 x.im y.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im y.re) x.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im y.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im y.re)) (.f64 x.re (atan2.f64 x.im y.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im y.im) x.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 y.im y.im) (.f64 x.im x.im)))) x.re) (*.f64 (atan2.f64 x.im y.im) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 y.im x.im))) (.f64 x.re (atan2.f64 x.im y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 y.im x.im)) x.re (.f64 y.re (atan2.f64 x.im y.im)))))
(/.f64 (.f64 (cos.f64 (fma.f64 x.re (log.f64 (hypot.f64 x.im y.im)) (.f64 y.re (atan2.f64 x.im y.im)))) (pow.f64 (hypot.f64 x.im y.im) y.re)) (pow.f64 (exp.f64 x.re) (atan2.f64 x.im y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.im y.im) y.re) (pow.f64 (exp.f64 x.re) (atan2.f64 x.im y.im))) (cos.f64 (fma.f64 x.re (log.f64 (hypot.f64 x.im y.im)) (.f64 y.re (atan2.f64 x.im y.im)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) x.im) (.f64 (atan2.f64 y.re x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.re y.re)))) y.im) (*.f64 (atan2.f64 y.re x.re) x.im))))
(.f64 (exp.f64 (-.f64 (.f64 x.im (log.f64 (hypot.f64 x.re y.re))) (.f64 y.im (atan2.f64 y.re x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re y.re)) y.im (.f64 x.im (atan2.f64 y.re x.re)))))
(/.f64 (.f64 (pow.f64 (hypot.f64 x.re y.re) x.im) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re y.re)) (.f64 x.im (atan2.f64 y.re x.re))))) (pow.f64 (exp.f64 y.im) (atan2.f64 y.re x.re)))
(.f64 (pow.f64 (hypot.f64 x.re y.re) x.im) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re y.re)) (.f64 x.im (atan2.f64 y.re x.re)))) (pow.f64 (exp.f64 y.im) (atan2.f64 y.re x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re y.re) x.im) (pow.f64 (exp.f64 y.im) (atan2.f64 y.re x.re))) (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re y.re)) (.f64 x.im (atan2.f64 y.re x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) y.re) (.f64 (atan2.f64 y.im x.re) x.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))) x.im) (*.f64 (atan2.f64 y.im x.re) y.re))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re y.im)) y.re (neg.f64 (.f64 x.im (atan2.f64 y.im x.re))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re y.im)) x.im (*.f64 y.re (atan2.f64 y.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re y.im) y.re) (pow.f64 (exp.f64 x.im) (atan2.f64 y.im x.re))) (cos.f64 (fma.f64 x.im (log.f64 (hypot.f64 x.re y.im)) (.f64 y.re (atan2.f64 y.im x.re)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) y.im))))

explain733.0ms (3.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
176	-	0	-	`(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)))`
121	-	2	(-2.9632737889119884e-158 -2.1958643430070125e-233 -7.074563078017065e+159 2.2691474462623773e+253)	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`
11	-	2	(6.621347836992659e+283 -5.810771442114694e-33 1.5953605684641343e+172 6.072458868657811e-172)	`(*.f64 (atan2.f64 x.im x.re) y.re)`
3	-	0	-	`(*.f64 (atan2.f64 x.im x.re) y.im)`
1	-	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)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))`
0	-	0	-	`(atan2.f64 x.im x.re)`
0	-	0	-	`(*.f64 x.re x.re)`
0	-	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))`
0	-	0	-	`x.re`
0	-	0	-	`x.im`
0	-	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))`
0	-	0	-	`(*.f64 x.im x.im)`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)`
0	-	0	-	`y.re`
0	-	0	-	`y.im`
0	-	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))))`
0	-	0	-	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(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)))`	sensitivity	174	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	oflow-rescue	113	0
↳	`(*.f64 x.re x.re)`	overflow	72
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	113
↳	`(*.f64 x.im x.im)`	overflow	64
`*.f64`	`(*.f64 (atan2.f64 x.im x.re) y.re)`	*nu**	3	0
`cos.f64`	`(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)))`	oflow-rescue	2	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))`	overflow	2
↳	`(*.f64 (atan2.f64 x.im x.re) y.re)`	overflow	1
↳	`(*.f64 x.re x.re)`	overflow	72
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	113
↳	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`	overflow	1
↳	`(*.f64 x.im x.im)`	overflow	64
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	uflow-rescue	2	0
↳	`(*.f64 x.re x.re)`	underflow	49
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	underflow	6
↳	`(*.f64 x.im x.im)`	underflow	63
`exp.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)))`	sensitivity	1	0
`*.f64`	`(*.f64 (atan2.f64 x.im x.re) y.im)`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	152	0
-	67	37

Precision

0.6940639269406392

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	152	0	0
-	67	0	37

Precision?

0.6940639269406392

Recall?

1.0

Freqs

test

number	freq
0	37
1	143
2	75
3	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Results

301.0ms	344×	1	valid
33.0ms	168×	0	valid

Compiler

Compiled 444 to 78 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 257.0ms

ival-mult: 171.0ms (66.4% of total)

ival-log: 19.0ms (7.4% of total)

ival-cos: 16.0ms (6.2% of total)

backward-pass: 12.0ms (4.7% of total)

ival-atan2: 11.0ms (4.3% of total)

ival-add: 9.0ms (3.5% of total)

ival-sqrt: 8.0ms (3.1% of total)

ival-exp: 7.0ms (2.7% of total)

ival-sub: 4.0ms (1.6% of total)

const: 1.0ms (0.4% of total)

eval1.0ms (0%)

Compiler: Compiled 55 to 20 computations (63.6% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.2%	(.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
▶	78.7%	(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
▶	40.8%	(.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 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Accuracy

Program

▶

67.2%

(*.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 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

▶

78.7%

(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

▶

40.8%

(*.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 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 100 to 49 computations (51% saved)

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 y.im)
✓	cost-diff	0	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
✓	cost-diff	0	(hypot.f64 x.re x.im)
✓	cost-diff	0	(pow.f64 (hypot.f64 x.re x.im) y.re)
✓	cost-diff	0	(log.f64 (hypot.f64 x.re x.im))
✓	cost-diff	0	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
✓	cost-diff	64	(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
✓	cost-diff	64	(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
✓	cost-diff	320	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
✓	cost-diff	320	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	cost-diff	320	(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
✓	cost-diff	320	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

Rules

262×	`fma-define`
101×	`fma-neg`
75×	`exp-prod`
75×	`exp-sum`
35×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	1388
1	79	1364
2	113	1364
3	151	1364
4	220	1364
5	290	1364
6	406	1364
7	593	1364
8	778	1364
9	1020	1364
10	1174	1364
11	1195	1364
12	1197	1364

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(atan2.f64 x.im x.re)
(neg.f64 y.im)
y.im
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(*.f64 y.re (atan2.f64 x.im x.re))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
(*.f64 (log.f64 (hypot.f64 x.re x.im)) y.im)
(*.f64 (atan2.f64 x.im x.re) y.re)
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(atan2.f64 x.im x.re)
(neg.f64 y.im)
y.im
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 y.im)
y.im
(atan2.f64 x.im x.re)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(*.f64 y.re (atan2.f64 x.im x.re))

localize403.0ms (1.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
✓	accuracy	99.2%	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
✓	accuracy	96.6%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	77.6%	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓	accuracy	99.8%	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
✓	accuracy	99.8%	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
✓	accuracy	96.6%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	77.6%	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓	accuracy	99.7%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
✓	accuracy	96.6%	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	accuracy	77.6%	(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)))
✓	accuracy	73.4%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))

Results

200.0ms	76×	5	exit
77.0ms	63×	1	valid
40.0ms	84×	0	valid
15.0ms	33×	0	unsamplable

Compiler

Compiled 374 to 35 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

backward-pass: 56.0ms (25.1% of total)

ival-mult: 36.0ms (16.2% of total)

ival-pow: 35.0ms (15.7% of total)

ival-cos: 21.0ms (9.4% of total)

ival-atan2: 16.0ms (7.2% of total)

ival-log: 16.0ms (7.2% of total)

ival-fma: 10.0ms (4.5% of total)

ival-exp: 9.0ms (4% of total)

ival-hypot: 8.0ms (3.6% of total)

ival-add: 5.0ms (2.2% of total)

ival-sqrt: 4.0ms (1.8% of total)

ival-div: 3.0ms (1.3% of total)

ival-neg: 2.0ms (0.9% of total)

ival-sub: 2.0ms (0.9% of total)

const: 0.0ms (0% of total)

series436.0ms (1.8%)

Counts

18 → 604

Calls

Call 1

Inputs
#<alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)>
#<alt (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))>
#<alt (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))>
#<alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)>
#<alt (.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))>
#<alt (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))>
#<alt (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))>
#<alt (log.f64 (hypot.f64 x.re x.im))>
#<alt (pow.f64 (hypot.f64 x.re x.im) y.re)>
#<alt (hypot.f64 x.re x.im)>
#<alt (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))>
#<alt (exp.f64 y.im)>
#<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 (*.f64 (atan2.f64 x.im x.re) y.re)>
#<alt (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))>
#<alt (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))>

Outputs
#<alt (*.f64 y.re (log.f64 x.im))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.im)))>
#<alt (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 6 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.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)) y.re) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.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)) y.re) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (*.f64 y.re (log.f64 x.re))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.re)))>
#<alt (+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 6 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
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#<alt (*.f64 y.im (log.f64 x.im))>
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#<alt (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))) (/.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))>
#<alt (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y.re (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))>
#<alt (+.f64 (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y.re (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re))))))) (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (exp.f64 (.f64 y.im (atan2.f64 x.im x.re)))))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (*.f64 (atan2.f64 x.im x.re) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (+.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.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 1/2 binary64) (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.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) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (+.f64 (.f64 y.im (-.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.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 1/2 binary64) (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.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))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64)) (pow.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 1/6 binary64) (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.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 1/2 binary64) (.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.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) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re) (exp.f64 (*.f64 y.im (atan2.f64 x.im x.re))))>

Calls

162 calls:

Time	Variable		Point	Expression
67.0ms	y.im	@	inf	(pow (exp y.im) (atan2 x.im x.re))
50.0ms	y.re	@	0	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re)
34.0ms	y.im	@	-inf	(pow (exp y.im) (atan2 x.im x.re))
14.0ms	y.im	@	0	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
14.0ms	x.im	@	0	(pow (exp y.im) (atan2 x.im x.re))

rewrite525.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`log1p-expm1-u`
241×	`expm1-log1p-u`
239×	`add-exp-log`
237×	`add-log-exp`
234×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	626
1	604	606
2	6951	606

Stop Event

1×	node limit

Counts

18 → 410

Calls

Call 1

Inputs
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(log.f64 (hypot.f64 x.re x.im))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
(exp.f64 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 (atan2.f64 x.im x.re) y.re)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))))
(exp.f64 (.f64 (log.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 x.re x.im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (hypot.f64 x.re x.im))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))) (log.f64 (sqrt.f64 (hypot.f64 x.re x.im))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 x.re x.im)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im))))
(log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64))
(*.f64 (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)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (sqrt.f64 (hypot.f64 x.re x.im)) (sqrt.f64 (hypot.f64 x.re x.im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 x.re x.im))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x.re x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 x.re x.im)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(fabs.f64 (hypot.f64 x.re x.im))
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(exp.f64 (log.f64 (hypot.f64 x.re x.im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re))))) (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(neg.f64 (/.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 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) #s(literal 3 binary64))))
(expm1.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)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (atan2.f64 x.im x.re))))

simplify1.0s (4.3%)

Algorithm

1×	egg-herbie

Rules

712×	`*-commutative`
707×	`times-frac`
517×	`+-commutative`
363×	`fma-define`
239×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2051	101430
1	6237	99892

Stop Event

1×	node limit

Counts

1014 → 1080

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.im)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 6 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.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)) y.re) (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.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)) y.re) (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))))
(*.f64 y.re (log.f64 x.re))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.re)))
(+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 6 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(log.f64 x.im)
(+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (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 1/6 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(log.f64 x.re)
(+.f64 (log.f64 x.re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (log.f64 x.re) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (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 1/6 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
x.im
(+.f64 x.im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(+.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x.im)))))
(+.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 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x.im)))))
x.re
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(+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 y.re (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.re)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 y.re (+.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)))))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 3 binary64))))))) (pow.f64 x.re #s(literal 6 binary64))))))
(pow.f64 x.re y.re)
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 y.re (pow.f64 x.re y.re))) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.re y.re))
(+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y.re (pow.f64 x.re y.re)) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (pow.f64 x.re y.re))))) (pow.f64 x.re y.re))
(+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y.re (pow.f64 x.re y.re)) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (pow.f64 x.re y.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 6 binary64)))))) (pow.f64 x.re y.re))))))) (pow.f64 x.re y.re))
(exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))
(+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 y.re (exp.f64 (.f64 #s(literal -1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) (.f64 y.re (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 4 binary64)))))
(+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) (.f64 y.re (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))))) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64)))))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 y.re #s(literal 3 binary64))))))) (pow.f64 x.im #s(literal 6 binary64))))))
(exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 y.re (exp.f64 (.f64 #s(literal -1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) (.f64 y.re (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 4 binary64)))))
(+.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) (.f64 y.re (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64)))))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 y.re #s(literal 3 binary64))))))) (pow.f64 x.im #s(literal 6 binary64))))))
#s(literal 1 binary64)
(+.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 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 y.re (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (.f64 y.re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y.re (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)))) (*.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))))))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re)
x.im
(+.f64 x.im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(+.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x.im)))))
(+.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 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x.im)))))
x.re
(.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))))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) x.re)
(.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)))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))))
x.re
(+.f64 x.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(+.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(+.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 1/16 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
x.im
(.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) x.im)
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.im (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y.im (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))) (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.im (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) (atan2.f64 x.im x.re))))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 y.im (atan2.f64 x.im x.re)))
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(.f64 (sqrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) 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.re x.im) 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.re x.im) y.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 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.re x.im) 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.re x.im) y.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))) (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.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 2 binary64))
(pow.f64 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re))))) (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(neg.f64 (/.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 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) #s(literal 3 binary64))))
(expm1.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)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (atan2.f64 x.im x.re))))

Outputs
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y.re (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (.f64 y.re (log.f64 x.im)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))))
(fma.f64 y.re (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 6 binary64)))))))))
(fma.f64 y.re (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 6 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re))))
(neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (neg.f64 (log.f64 x.re))) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 y.re (neg.f64 (log.f64 x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.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)) y.re) (pow.f64 x.re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (neg.f64 (log.f64 x.re))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 y.re (neg.f64 (log.f64 x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (neg.f64 (log.f64 x.re))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/720 binary64) (.f64 y.re (/.f64 (.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/720 binary64) (.f64 y.re (/.f64 (.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64))))) (.f64 y.re (neg.f64 (log.f64 x.re))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.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)) y.re) (pow.f64 x.re #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/720 binary64) (.f64 y.re (/.f64 (.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 #s(literal 1/720 binary64) (.f64 y.re (/.f64 (.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 2 binary64))))) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(*.f64 y.re (log.f64 x.re))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.re)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (.f64 y.re (log.f64 x.re)))
(+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))))))
(fma.f64 y.re (log.f64 x.re) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 6 binary64)))))))))
(fma.f64 y.re (log.f64 x.re) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 6 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))
(neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))
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#s(literal 1 binary64)
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(pow.f64 (hypot.f64 x.im x.re) y.re)
x.im
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x.re
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(neg.f64 x.re)
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x.re
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x.im
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(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.re x.im)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (hypot.f64 x.re x.im))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.re x.im)))) (sqrt.f64 (log.f64 (hypot.f64 x.re x.im))))
(hypot.f64 x.im x.re)
(fabs.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.im x.re)
(log.f64 (exp.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.im x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x.re x.im))))
(hypot.f64 x.im x.re)
(cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 3 binary64)))
(hypot.f64 x.im x.re)
(expm1.f64 (log1p.f64 (hypot.f64 x.re x.im)))
(expm1.f64 (log1p.f64 (hypot.f64 x.im x.re)))
(hypot.f64 x.re x.im)
(hypot.f64 x.im x.re)
(hypot.f64 x.im x.re)
(log1p.f64 (expm1.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.im x.re)
(exp.f64 (log.f64 (hypot.f64 x.re x.im)))
(hypot.f64 x.im x.re)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 x.im x.re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 3 binary64))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) #s(literal 2 binary64))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(log.f64 (pow.f64 (hypot.f64 x.re x.im) y.im))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.re x.im) y.im) #s(literal 1 binary64))))
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(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
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(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
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(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
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(.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))))
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(-.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))
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(.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))
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(log1p.f64 (expm1.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 y.im (atan2.f64 x.im x.re))
(exp.f64 (log.f64 (*.f64 y.im (atan2.f64 x.im x.re))))
(*.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 y.im (atan2.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))
(expm1.f64 (log1p.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 (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 (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.re x.im) 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) (atan2.f64 x.im x.re)))
(*.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re))
(*.f64 (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 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.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 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 (pow.f64 (cbrt.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 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.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.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.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.re x.im) y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 (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 (exp.f64 (.f64 y.im (neg.f64 (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) (neg.f64 (atan2.f64 x.im x.re)))))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))) (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))) (/.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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cbrt.f64 (pow.f64 (exp.f64 y.im) (*.f64 #s(literal 2 binary64) (atan2.f64 x.im x.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.re x.im) y.re) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.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)))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (exp.f64 y.im) (*.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.re x.im) 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.re x.im) y.re)) (sqrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))) (/.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (exp.f64 y.im) (.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))) (/.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 (pow.f64 (hypot.f64 x.im x.re) y.re) (cbrt.f64 (pow.f64 (exp.f64 y.im) (*.f64 #s(literal 2 binary64) (atan2.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 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)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.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 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)))
(pow.f64 (/.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (pow.f64 (hypot.f64 x.re x.im) y.re)) #s(literal -1 binary64))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re))))) (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(neg.f64 (/.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)))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(sqrt.f64 (pow.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)))
(fabs.f64 (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) #s(literal 3 binary64))))
(expm1.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)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(exp.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (atan2.f64 x.im x.re))))
(*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))

eval289.0ms (1.2%)

Compiler: Compiled 76524 to 6812 computations (91.1% saved)

prune340.0ms (1.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1220	22	1242
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	1223	22	1245

Accuracy

97.1%

Counts

1245 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.5%	(fma.f64 y.im (-.f64 (neg.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re)))) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
	52.8%	(pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) #s(literal 3 binary64))
	62.1%	(.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)))))
▶	63.0%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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)))))
▶	61.2%	(.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))) (-.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)))))))
	51.3%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.im) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
	19.9%	(.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 (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	43.7%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	24.8%	(.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 (+.f64 x.im (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	43.3%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	65.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
	62.0%	(.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 y.re (atan2.f64 x.im x.re))))
	40.3%	(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
	33.9%	(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))) (exp.f64 (-.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
▶	35.0%	(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
	36.7%	(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.im)))))
	52.0%	(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
	51.0%	(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
▶	62.2%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	52.5%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
	55.0%	(fabs.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
	52.9%	(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) #s(literal 3 binary64)))

Compiler

Compiled 1442 to 816 computations (43.4% saved)

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	320	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	cost-diff	320	(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
	cost-diff	320	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
✓	cost-diff	0	(atan2.f64 x.im x.re)
✓	cost-diff	0	(*.f64 y.im (atan2.f64 x.im x.re))
	cost-diff	0	(hypot.f64 x.re x.im)
	cost-diff	0	(pow.f64 (hypot.f64 x.re x.im) y.re)
✓	cost-diff	0	(*.f64 y.re (atan2.f64 x.im x.re))
✓	cost-diff	0	(log.f64 x.re)
✓	cost-diff	0	(*.f64 y.im (log.f64 x.re))
✓	cost-diff	64	(.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))
✓	cost-diff	0	(atan2.f64 x.im x.re)
✓	cost-diff	0	(*.f64 y.re (atan2.f64 x.im x.re))
✓	cost-diff	0	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
✓	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	320	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	cost-diff	320	(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
	cost-diff	320	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)

Rules

768×	`times-frac`
692×	`fma-define`
476×	`associate-r`
442×	`fma-neg`
370×	`div-sub`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	57	2171
1	120	2137
2	222	2129
3	401	2129
4	946	2129
5	2613	2129
6	4110	2117
7	6306	2117
8	7218	2117

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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
x.re
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.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)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 x.re))
y.im
(log.f64 x.re)
x.re
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 x.re)))
(.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))
#s(literal -1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 y.re (log.f64 x.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
y.im
(atan2.f64 x.im x.re)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(*.f64 y.re (atan2.f64 x.im x.re))
(.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)))))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(-.f64 (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))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.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)))))
(.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(sin.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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (.f64 (atan2.f64 x.im x.re) y.im)))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(/.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))) (pow.f64 (hypot.f64 x.re x.im) y.re)) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (hypot.f64 x.im x.re))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.re x.im) y.re))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
x.re
(pow.f64 (hypot.f64 x.im x.re) y.re)
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
(.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (fma.f64 #s(literal -1 binary64) (.f64 (atan2.f64 x.im x.re) y.im) (.f64 y.re (log.f64 x.re)))))
(.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.re)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))))
(.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 x.re)))) (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 x.re) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 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 x.re)))
(*.f64 y.im (log.f64 x.re))
y.im
(log.f64 x.re)
x.re
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 x.re))))
(exp.f64 (fma.f64 #s(literal -1 binary64) (.f64 (atan2.f64 x.im x.re) y.im) (.f64 y.re (log.f64 x.re))))
(exp.f64 (-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im)))
(/.f64 (pow.f64 x.re y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 x.re)))
(fma.f64 #s(literal -1 binary64) (.f64 (atan2.f64 x.im x.re) y.im) (.f64 y.re (log.f64 x.re)))
(-.f64 (.f64 y.re (log.f64 x.re)) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 y.re (log.f64 x.re) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))
(neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
#s(literal -1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.re (log.f64 x.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (.f64 (atan2.f64 x.im x.re) y.im) #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)))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 (atan2.f64 x.im x.re) y.im #s(literal 1 binary64))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (fma.f64 (atan2.f64 x.im x.re) y.im #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) #s(literal 1 binary64)))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (fma.f64 (atan2.f64 x.im x.re) y.im #s(literal 1 binary64)))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(+.f64 (*.f64 (atan2.f64 x.im x.re) y.im) #s(literal 1 binary64))
(fma.f64 (atan2.f64 x.im x.re) y.im #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
(*.f64 (atan2.f64 x.im x.re) y.im)
y.im
(atan2.f64 x.im x.re)
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(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.re x.im)))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(log.f64 (hypot.f64 x.re 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 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (.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.re x.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(/.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (hypot.f64 x.re x.im)) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) y.im)))) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (fma.f64 y.im (.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im)) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (sin.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)))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(fma.f64 x.im x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(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))))))
(-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (.f64 (log.f64 (hypot.f64 x.re x.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (hypot.f64 x.re x.im)) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) y.im)))
(fma.f64 y.im (.f64 (log.f64 (hypot.f64 x.re x.im)) (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 y.im (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 y.im (.f64 (log.f64 (hypot.f64 x.re x.im)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (log.f64 (hypot.f64 x.re x.im)) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) y.im))
(.f64 (log.f64 (hypot.f64 x.re x.im)) (.f64 y.im (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (log.f64 (hypot.f64 x.re x.im)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (hypot.f64 x.im x.re))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

localize529.0ms (2.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	96.3%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	84.9%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	accuracy	84.8%	(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	accuracy	80.8%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	accuracy	99.8%	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
✓	accuracy	98.8%	(*.f64 y.im (atan2.f64 x.im x.re))
✓	accuracy	96.3%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	73.3%	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓	accuracy	99.8%	(*.f64 y.im (log.f64 x.re))
✓	accuracy	98.8%	(*.f64 y.im (atan2.f64 x.im x.re))
✓	accuracy	96.3%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	73.5%	(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
✓	accuracy	100.0%	(atan2.f64 x.im x.re)
✓	accuracy	100.0%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
✓	accuracy	96.3%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	84.9%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
✓	accuracy	99.8%	(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
✓	accuracy	98.8%	(*.f64 (atan2.f64 x.im x.re) y.im)
	accuracy	80.8%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	accuracy	79.6%	(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))

Results

313.0ms	75×	1	valid
88.0ms	137×	0	invalid
31.0ms	44×	0	valid

Compiler

Compiled 576 to 49 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 344.0ms

ival-log: 139.0ms (40.5% of total)

ival-cos: 85.0ms (24.7% of total)

ival-mult: 41.0ms (11.9% of total)

ival-pow: 20.0ms (5.8% of total)

ival-hypot: 16.0ms (4.7% of total)

backward-pass: 9.0ms (2.6% of total)

ival-add: 7.0ms (2% of total)

ival-sin: 5.0ms (1.5% of total)

ival-exp: 4.0ms (1.2% of total)

ival-atan2: 4.0ms (1.2% of total)

ival-fma: 4.0ms (1.2% of total)

ival-sub: 3.0ms (0.9% of total)

ival-sqrt: 3.0ms (0.9% of total)

ival-div: 2.0ms (0.6% of total)

const: 1.0ms (0.3% of total)

series233.0ms (1%)

Counts

16 → 292

Calls

Call 1

Inputs
#<alt (*.f64 x.im x.im)>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))>
#<alt (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (atan2.f64 x.im x.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.im (log.f64 x.re))>
#<alt (log.f64 x.re)>
#<alt (*.f64 y.im (atan2.f64 x.im x.re))>
#<alt (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))>
#<alt (*.f64 (atan2.f64 x.im x.re) y.im)>
#<alt (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)>
#<alt (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>

Outputs
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.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)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (.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))))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #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 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (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) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)))))))))))>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)))) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)))>
#<alt (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (pow.f64 x.re y.re)))))))>
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#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.im) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.im (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (atan2.f64 x.im x.re))))))>
#<alt (*.f64 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)))))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (.f64 y.re (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64)))) (atan2.f64 x.im x.re)))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))) (.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 5 binary64)))))) (atan2.f64 x.im x.re)))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 7 binary64)))) (*.f64 #s(literal 1/120 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 5 binary64))))))) (atan2.f64 x.im x.re)))>

Calls

135 calls:

Time	Variable		Point	Expression
59.0ms	x.re	@	-inf	(* y.im (log x.re))
45.0ms	x.re	@	0	(* y.im (log x.re))
18.0ms	y.im	@	0	(* y.im (log x.re))
10.0ms	x.re	@	0	(cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im))
7.0ms	x.re	@	inf	(cos (* (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.im))

rewrite230.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1025×	`log1p-expm1-u`
238×	`add-exp-log`
238×	`expm1-log1p-u`
235×	`add-log-exp`
235×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	455
1	536	443
2	6523	443

Stop Event

1×	node limit

Counts

16 → 278

Calls

Call 1

Inputs
(*.f64 x.im x.im)
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
(.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 x.re))
(log.f64 x.re)
(*.f64 y.im (atan2.f64 x.im x.re))
(cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)))) #s(literal 1 binary64))
(pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) #s(literal 3 binary64)) (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(exp.f64 (log.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 1 binary64))
(pow.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 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(exp.f64 (log.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 binary64)))
(-.f64 (exp.f64 (log1p.f64 (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(*.f64 (atan2.f64 x.im x.re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 x.im x.re))
(*.f64 (cbrt.f64 (atan2.f64 x.im x.re)) (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) #s(literal 2 binary64)) (cbrt.f64 (atan2.f64 x.im x.re)))
(*.f64 (sqrt.f64 (atan2.f64 x.im x.re)) (sqrt.f64 (atan2.f64 x.im x.re)))
(pow.f64 (atan2.f64 x.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (atan2.f64 x.im x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (atan2.f64 x.im x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (atan2.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (atan2.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (atan2.f64 x.im x.re)))
(exp.f64 (log.f64 (atan2.f64 x.im x.re)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 x.im x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 x.im x.re) y.im))
(pow.f64 (*.f64 (atan2.f64 x.im x.re) y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (atan2.f64 x.im x.re) y.im))
(sqrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (atan2.f64 x.im x.re) y.im))))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.im) #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))))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
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(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 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))) (*.f64 y.re (atan2.f64 x.im x.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))) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))

simplify499.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

447×	`*-commutative`
368×	`associate-/l*`
298×	`distribute-rgt-in`
298×	`distribute-lft-in`
288×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1374	40638
1	3770	39327

Stop Event

1×	node limit

Counts

570 → 701

Calls

Call 1

Inputs
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
#s(literal 1 binary64)
(+.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 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (.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 binary64) (.f64 y.re (+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (atan2.f64 x.im x.re) #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 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (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) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)))))))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)))) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (pow.f64 x.re y.re)))))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (pow.f64 x.re y.re))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 6 binary64)))))) (pow.f64 x.re y.re)))))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))))) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 #s(literal -1 binary64) (*.f64 y.re (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)) (.f64 y.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))))) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))) (/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (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.re (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))))) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))) (+.f64 (/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re)) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64)))))) (.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 y.re #s(literal 3 binary64)))))))) (pow.f64 x.im #s(literal 6 binary64))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
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(exp.f64 (log.f64 (*.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 x.im x.re) y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #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 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #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 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) #s(literal 1 binary64)))
(+.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im)))) (fma.f64 (neg.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sin.f64 (log.f64 (pow.f64 x.re y.im))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im))))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im)))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im))))))
(+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im)))) (.f64 (neg.f64 (sin.f64 (log.f64 (pow.f64 x.re y.im)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im)))))) #s(literal 1 binary64))
(*.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im)))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))) (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im))))) (+.f64 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im))))) (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im)))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im))))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im))))) (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im)))))) (+.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 x.re y.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 x.re y.im))))))
(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (log.f64 (pow.f64 x.re y.im))))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (log.f64 (pow.f64 x.re 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 x.re y.im))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))) #s(literal 1 binary64))
(-.f64 (.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (sin.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.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 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 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))) (*.f64 y.re (atan2.f64 x.im x.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))) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))

Outputs
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
#s(literal 1 binary64)
(+.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 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
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(pow.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(+.f64 (.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 (log.f64 (hypot.f64 x.im x.re)) y.im))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(.f64 #s(literal 1 binary64) (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (cbrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (cbrt.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))) (cbrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(/.f64 (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 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))) (*.f64 y.re (atan2.f64 x.im x.re))))))
(/.f64 (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(/.f64 (+.f64 (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 2 binary64)) (.f64 (.f64 y.re (atan2.f64 x.im x.re)) (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(/.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))) (-.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))) (.f64 y.re (atan2.f64 x.im x.re))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 2 binary64)) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))) (-.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) (.f64 y.re (atan2.f64 x.im x.re))))
(pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(pow.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.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)) y.im))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(log.f64 (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.im) (pow.f64 (exp.f64 y.re) (atan2.f64 x.im x.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 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(expm1.f64 (log1p.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(exp.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(exp.f64 (.f64 (log.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 #s(literal 1 binary64) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(.f64 (sqrt.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 2 binary64))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(log.f64 (exp.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) #s(literal 3 binary64)))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (log.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(exp.f64 (.f64 (log.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 1 binary64)))
(sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))

eval653.0ms (2.8%)

Compiler: Compiled 67029 to 6714 computations (90% saved)

prune656.0ms (2.8%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	1527	23	1550
Fresh	13	4	17
Picked	4	1	5
Done	0	0	0
Total	1544	28	1572

Accuracy

97.1%

Counts

1572 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.2%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
	21.5%	(+.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)))))))
	63.0%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
	63.0%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
▶	66.0%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
	62.3%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))))
	31.5%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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)))))
	62.3%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	61.2%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
▶	26.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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)))))
▶	53.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	62.6%	(.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	56.8%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 2 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))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))
▶	29.3%	(.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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
	62.0%	(.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 y.re (atan2.f64 x.im x.re))))
	32.8%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	36.3%	(.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.im (log.f64 x.im))))
	18.9%	(.f64 (cos.f64 (+.f64 (.f64 y.im (log1p.f64 (-.f64 x.re #s(literal 1 binary64)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
	36.7%	(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.im)))))
	52.0%	(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
	51.0%	(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
✓	62.2%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	40.8%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
	37.8%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	33.1%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 x.re)))))
	29.8%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))
▶	26.4%	#s(literal 1 binary64)

Compiler

Compiled 1340 to 854 computations (36.3% saved)

simplify155.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	320	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
	cost-diff	320	(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
	cost-diff	320	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
	cost-diff	0	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
	cost-diff	0	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
	cost-diff	0	(atan2.f64 x.im x.re)
✓	cost-diff	0	(*.f64 y.im (atan2.f64 x.im x.re))
	cost-diff	0	(atan2.f64 x.im x.re)
	cost-diff	0	(*.f64 y.re (atan2.f64 x.im x.re))
✓	cost-diff	0	(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
	cost-diff	0	(atan2.f64 x.im x.re)
✓	cost-diff	0	(*.f64 y.im (atan2.f64 x.im x.re))
	cost-diff	0	(hypot.f64 x.re x.im)
	cost-diff	0	(pow.f64 (hypot.f64 x.re x.im) y.re)

Rules

1273×	`fma-define`
488×	`div-sub`
484×	`unsub-neg`
394×	`neg-mul-1`
377×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	1551
1	100	1505
2	170	1505
3	292	1505
4	685	1505
5	1295	1505
6	1463	1505
7	1716	1505
8	2981	1505
9	4832	1505
10	6935	1505
11	7432	1505

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
y.im
(atan2.f64 x.im x.re)
(fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
#s(literal 1 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))))
#s(literal 1 binary64)
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
x.re
#s(literal 2 binary64)
(pow.f64 (hypot.f64 x.im x.re) y.re)
(hypot.f64 x.im x.re)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(*.f64 y.im (atan2.f64 x.im x.re))
y.im
(atan2.f64 x.im x.re)
x.im
x.re
(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
(*.f64 y.re (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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(atan2.f64 x.im x.re)
y.im
(cos.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)
(log.f64 (/.f64 #s(literal -1 binary64) x.im))
(/.f64 #s(literal -1 binary64) x.im)
#s(literal -1 binary64)

Outputs
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))) (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (.f64 y.re (atan2.f64 x.im x.re))))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (.f64 y.re (atan2.f64 x.im x.re))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
y.im
(atan2.f64 x.im x.re)
(fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))
(fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(fabs.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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
(*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (hypot.f64 x.im x.re))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
#s(literal 1 binary64)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.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)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))))
(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)
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
#s(literal -1/2 binary64)
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
x.re
#s(literal 2 binary64)
(pow.f64 (hypot.f64 x.im x.re) y.re)
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))
(*.f64 y.im (atan2.f64 x.im x.re))
y.im
(atan2.f64 x.im x.re)
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))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re))))
(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.re x.im)
(*.f64 y.re (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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
(.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))
(exp.f64 (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)))
(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))
(-.f64 (.f64 y.re (log.f64 (hypot.f64 x.re x.im))) (.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(log.f64 (hypot.f64 x.re x.im))
(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
(hypot.f64 x.re x.im)
(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
y.re
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(atan2.f64 x.im x.re)
y.im
(cos.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))
(cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(log.f64 (/.f64 #s(literal -1 binary64) x.im))
(/.f64 #s(literal -1 binary64) x.im)
#s(literal -1 binary64)

localize517.0ms (2.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)
	accuracy	99.5%	(*.f64 (atan2.f64 x.im x.re) y.im)
✓	accuracy	79.5%	(cos.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))
	accuracy	76.9%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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)))))
✓	accuracy	99.5%	(*.f64 y.im (atan2.f64 x.im x.re))
	accuracy	98.1%	(*.f64 y.re (atan2.f64 x.im x.re))
	accuracy	71.7%	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
✓	accuracy	99.8%	(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))
✓	accuracy	98.1%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	accuracy	98.1%	(*.f64 y.re (atan2.f64 x.im x.re))
	accuracy	99.8%	(*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)
✓	accuracy	99.5%	(*.f64 y.im (atan2.f64 x.im x.re))
✓	accuracy	98.8%	(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
✓	accuracy	71.7%	(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))

Results

210.0ms	80×	1	valid
143.0ms	132×	0	invalid
39.0ms	44×	0	valid

Compiler

Compiled 410 to 47 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 306.0ms

ival-log: 117.0ms (38.2% of total)

ival-mult: 98.0ms (32% of total)

ival-pow: 24.0ms (7.8% of total)

ival-hypot: 13.0ms (4.2% of total)

ival-cos: 13.0ms (4.2% of total)

backward-pass: 8.0ms (2.6% of total)

ival-div: 7.0ms (2.3% of total)

ival-fma: 7.0ms (2.3% of total)

ival-add: 5.0ms (1.6% of total)

ival-atan2: 4.0ms (1.3% of total)

ival-sqrt: 3.0ms (1% of total)

ival-exp: 2.0ms (0.7% of total)

ival-sub: 2.0ms (0.7% of total)

ival-fabs: 2.0ms (0.7% of total)

const: 1.0ms (0.3% of total)

series168.0ms (0.7%)

Counts

10 → 312

Calls

Call 1

Inputs
#<alt (*.f64 y.im (atan2.f64 x.im x.re))>
#<alt (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))>
#<alt (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))>
#<alt (*.f64 x.re x.re)>
#<alt (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))>
#<alt (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))>
#<alt (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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)))))>
#<alt (cos.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))>
#<alt (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)>

Outputs
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (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 (+.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 #s(literal -1 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))))))) (atan2.f64 x.im x.re)))))>
#<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 #s(literal -1/2 binary64) (.f64 y.re (.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 (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 (+.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 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))))>
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#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.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))))))) (atan2.f64 x.im x.re))) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))))) (/.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 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))))>
#<alt (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.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)) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))))) (/.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 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))))>
#<alt (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.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)) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))) (.f64 #s(literal 1/6 binary64) (/.f64 (.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 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))))))))) (/.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 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))))>
#<alt (/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 x.im)))))>
#<alt (cos.f64 (.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 x.im)))))>
#<alt (cos.f64 (.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 x.im)))))>
#<alt (cos.f64 (.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 x.im)))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))>
#<alt (cos.f64 (*.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<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 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 2 binary64))) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 4 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 2 binary64))) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 6 binary64)))) (.f64 #s(literal 1/24 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 4 binary64))))))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (cos.f64 (*.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 x.im))))>
#<alt (.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 x.im))))>
#<alt (.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 x.im))))>
#<alt (.f64 y.im (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 x.im))))>
#<alt (*.f64 y.im (+.f64 (log.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)) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))>
#<alt (*.f64 y.im (+.f64 (log.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)) (log.f64 (/.f64 #s(literal 1 binary64) x.im))))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>

Calls

87 calls:

Time	Variable		Point	Expression
30.0ms	y.im	@	0	(* (log (/ -1 x.im)) y.im)
20.0ms	x.im	@	-inf	(* (+ 1 (* -1/2 (pow (* y.re (atan2 x.im x.re)) 2))) (pow (sqrt (+ (* x.im x.im) (* x.re x.re))) y.re))
13.0ms	x.im	@	inf	(cos (* (log (/ -1 x.im)) y.im))
10.0ms	x.im	@	0	(cos (* (log (/ -1 x.im)) y.im))
7.0ms	x.im	@	-inf	(cos (* (log (/ -1 x.im)) y.im))

rewrite215.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log1p-expm1-u`
280×	`expm1-log1p-u`
277×	`add-exp-log`
275×	`add-cube-cbrt`
274×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	399
1	624	391
2	7913	391

Stop Event

1×	node limit

Counts

10 → 188

Calls

Call 1

Inputs
(*.f64 y.im (atan2.f64 x.im x.re))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64))
(*.f64 x.re x.re)
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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)))))
(cos.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)

Outputs
(-.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64))
(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))
(sqrt.f64 (pow.f64 (*.f64 y.im (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 x.im x.re)) y.im))
(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)))
(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 #s(literal -1/2 binary64) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (.f64 (pow.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 (atan2.f64 x.im x.re) y.re) (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64))))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (atan2.f64 x.im x.re) (.f64 y.re (*.f64 (atan2.f64 x.im x.re) y.re)))
(.f64 y.re (.f64 (atan2.f64 x.im x.re) (*.f64 (atan2.f64 x.im x.re) y.re)))
(.f64 (.f64 (atan2.f64 x.im x.re) y.re) (*.f64 (atan2.f64 x.im x.re) y.re))
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(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (atan2.f64 x.im x.re) y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 x.im x.re) y.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(/.f64 (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))
(/.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (sqrt.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))
(/.f64 (.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re)))) (neg.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))
(/.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 1 binary64)) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(/.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (cbrt.f64 (pow.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))
(pow.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (cos.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(.f64 (sqrt.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(pow.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))) #s(literal 1 binary64))
(pow.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 1 binary64)))

simplify598.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

510×	`times-frac`
414×	`*-commutative`
373×	`distribute-lft-in`
371×	`distribute-rgt-in`
293×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1257	47089
1	3782	46373

Stop Event

1×	node limit

Counts

500 → 608

Calls

Call 1

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

Outputs
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))
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(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(sqrt.f64 (pow.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal 1 binary64))))
(log1p.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))) #s(literal 3 binary64)))
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 3 binary64))))
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(expm1.f64 (log1p.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(exp.f64 (.f64 (log.f64 (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) #s(literal 1 binary64)))
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))

eval411.0ms (1.7%)

Compiler: Compiled 63876 to 6984 computations (89.1% saved)

prune290.0ms (1.2%)

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	1361	23	1384
Fresh	8	14	22
Picked	4	1	5
Done	0	1	1
Total	1373	39	1412

Accuracy

97.1%

Counts

1412 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.5%	(/.f64 (-.f64 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (atan2.f64 x.im x.re)) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) y.im))) y.im)
▶	4.8%	(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
	12.4%	(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
▶	10.5%	(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
	12.4%	(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
	14.4%	(/.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
	26.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
▶	27.2%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
	21.5%	(+.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)))))))
	32.5%	(.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 x.re y.re))
	30.7%	(.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 x.im y.re))
	66.0%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))))
	66.0%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) #s(literal 3 binary64))))))
	55.1%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))
▶	30.8%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
▶	66.4%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	26.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
	26.7%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))
	27.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))))
	16.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
	27.1%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
	25.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
	62.6%	(.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	56.8%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 2 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))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))
	62.0%	(.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 y.re (atan2.f64 x.im x.re))))
	32.8%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
	36.3%	(.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.im (log.f64 x.im))))
	21.0%	(.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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
	18.9%	(.f64 (cos.f64 (+.f64 (.f64 y.im (log1p.f64 (-.f64 x.re #s(literal 1 binary64)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
	36.7%	(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.im)))))
	51.0%	(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
✓	62.2%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	40.8%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
	37.8%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	33.1%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 x.re)))))
	32.3%	(.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.im x.re) y.re)))
	28.2%	(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))))
✓	26.4%	#s(literal 1 binary64)

Compiler

Compiled 1909 to 1187 computations (37.8% saved)

simplify279.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(atan2.f64 x.im x.re)
	cost-diff	0	(*.f64 y.im (atan2.f64 x.im x.re))
	cost-diff	0	(hypot.f64 x.re x.im)
	cost-diff	0	(pow.f64 (hypot.f64 x.re x.im) y.re)
✓	cost-diff	0	(log.f64 (hypot.f64 x.im x.re))
✓	cost-diff	0	(fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
✓	cost-diff	0	(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
✓	cost-diff	0	(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
	cost-diff	0	(atan2.f64 x.im x.re)
	cost-diff	0	(*.f64 y.re (atan2.f64 x.im x.re))
	cost-diff	0	(log.f64 x.re)
	cost-diff	0	(*.f64 y.im (log.f64 x.re))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
✓	cost-diff	0	(hypot.f64 x.im x.re)
✓	cost-diff	0	(log.f64 (hypot.f64 x.im x.re))
✓	cost-diff	0	(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
	cost-diff	0	(atan2.f64 x.im x.re)
	cost-diff	0	(*.f64 y.im (atan2.f64 x.im x.re))
	cost-diff	0	(hypot.f64 x.re x.im)
	cost-diff	0	(pow.f64 (hypot.f64 x.re x.im) y.re)

Rules

832×	`fma-define`
476×	`fma-neg`
246×	`times-frac`
180×	`associate-r`
168×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	1578
1	82	1542
2	117	1542
3	138	1542
4	166	1542
5	223	1542
6	311	1542
7	441	1542
8	670	1542
9	1076	1542
10	1494	1542
11	1745	1542
12	2179	1542
13	2686	1542
14	2928	1542
15	3168	1542
16	3564	1542
17	3786	1542
18	3930	1542
19	4016	1542
20	4076	1542
21	4076	1542

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
y.im
(atan2.f64 x.im x.re)
(fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
#s(literal 1 binary64)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
y.re
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
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 binary64) (*.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 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.im (log.f64 x.re))
y.im
(log.f64 x.re)
x.re
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(cos.f64 (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.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
y.im
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
x.im
x.re
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
(*.f64 (atan2.f64 x.im x.re) y.im)
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
y.im
(atan2.f64 x.im x.re)
(fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(log.f64 (/.f64 #s(literal -1 binary64) x.im))
(/.f64 #s(literal -1 binary64) x.im)
#s(literal -1 binary64)

Outputs
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))) (fabs.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
y.im
(atan2.f64 x.im x.re)
(fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))
(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))
(log.f64 (hypot.f64 x.im x.re))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(fma.f64 y.re (log.f64 (hypot.f64 x.re x.im)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (hypot.f64 x.re x.im)))
y.re
(log.f64 (hypot.f64 x.im x.re))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
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 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 x.re) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.re)))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.im (log.f64 x.re) (*.f64 y.re (atan2.f64 x.im x.re))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 x.re))))
(+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.im (log.f64 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 x.re)))
(*.f64 y.im (log.f64 x.re))
y.im
(log.f64 x.re)
x.re
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
x.im
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.re x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))
(/.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (hypot.f64 x.re x.im))))) (.f64 y.im (atan2.f64 x.im x.re)))
(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
(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.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.im (log.f64 (hypot.f64 x.re x.im)) (*.f64 y.re (atan2.f64 x.im x.re)))
(fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))
y.im
(log.f64 (hypot.f64 x.im x.re))
(log.f64 (hypot.f64 x.re x.im))
(hypot.f64 x.im x.re)
(hypot.f64 x.re x.im)
x.im
x.re
(*.f64 y.re (atan2.f64 x.im x.re))
y.re
(atan2.f64 x.im x.re)
(*.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.im (atan2.f64 x.im x.re))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))
(.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (/.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 x.re x.im) y.re)
(hypot.f64 x.re x.im)
x.re
x.im
y.re
(+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))
(fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y.im (atan2.f64 x.im x.re))
y.im
(atan2.f64 x.im x.re)
(fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(fabs.f64 (cos.f64 (fma.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re)))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(cos.f64 (fma.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.re))))
(-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(*.f64 y.re (atan2.f64 x.im x.re))
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(log.f64 (/.f64 #s(literal -1 binary64) x.im))
(/.f64 #s(literal -1 binary64) x.im)
#s(literal -1 binary64)

localize310.0ms (1.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
	accuracy	99.6%	(*.f64 y.im (atan2.f64 x.im x.re))
	accuracy	98.2%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	87.8%	(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
✓	accuracy	99.9%	(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
	accuracy	99.6%	(*.f64 (atan2.f64 x.im x.re) y.im)
	accuracy	98.2%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	accuracy	87.8%	(cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))
	accuracy	99.9%	(*.f64 y.im (log.f64 x.re))
	accuracy	99.6%	(*.f64 y.im (atan2.f64 x.im x.re))
	accuracy	98.2%	(*.f64 y.re (atan2.f64 x.im x.re))
	accuracy	88.1%	(cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re))))
✓	accuracy	100.0%	(hypot.f64 x.im x.re)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
✓	accuracy	100.0%	(log.f64 (hypot.f64 x.im x.re))
✓	accuracy	100.0%	(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
✓	accuracy	100.0%	(/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
✓	accuracy	99.9%	(*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))
	accuracy	99.6%	(*.f64 y.im (atan2.f64 x.im x.re))
✓	accuracy	91.2%	(cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))

Results

188.0ms	200×	0	invalid
41.0ms	34×	1	valid
10.0ms	22×	0	valid

Compiler

Compiled 384 to 38 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 101.0ms (59.1% of total)

ival-hypot: 11.0ms (6.4% of total)

ival-cos: 11.0ms (6.4% of total)

ival-log: 11.0ms (6.4% of total)

ival-pow: 9.0ms (5.3% of total)

ival-div: 8.0ms (4.7% of total)

ival-add: 5.0ms (2.9% of total)

ival-fabs: 4.0ms (2.3% of total)

ival-atan2: 3.0ms (1.8% of total)

backward-pass: 3.0ms (1.8% of total)

ival-fma: 3.0ms (1.8% of total)

const: 1.0ms (0.6% of total)

ival-sub: 1.0ms (0.6% of total)

series178.0ms (0.8%)

Counts

12 → 408

Calls

Call 1

Inputs
#<alt (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))>
#<alt (log.f64 (hypot.f64 x.im x.re))>
#<alt (hypot.f64 x.im x.re)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))>
#<alt (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))>
#<alt (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re))))>
#<alt (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))>
#<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 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))>
#<alt (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))>
#<alt (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>

Outputs
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 y.re (log.f64 x.re))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.re)))>
#<alt (+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 6 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 y.re (log.f64 x.im))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.im)))>
#<alt (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 6 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.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)) y.re) (pow.f64 x.re #s(literal 2 binary64))))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))>
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#<alt (log.f64 x.re)>
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#<alt (+.f64 (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 1/6 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
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#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))>
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#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (log.f64 x.im)>
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#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))>
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#<alt x.re>
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#<alt x.im>
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#<alt (.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
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#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))>
#<alt x.im>
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#<alt x.re>
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#<alt (*.f64 #s(literal -1 binary64) x.re)>
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#<alt #s(literal 1 binary64)>
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Calls

114 calls:

Time	Variable		Point	Expression
66.0ms	x.re	@	-inf	(+ (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) (* y.re (atan2 x.im x.re)))
8.0ms	x.re	@	0	(cos (- (* y.re (atan2 x.im x.re)) (* y.im (log (/ -1 x.im)))))
6.0ms	y.re	@	-inf	(cos (- (* y.re (atan2 x.im x.re)) (* y.im (log (/ -1 x.im)))))
5.0ms	y.im	@	0	(/ (cos (+ (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) (* y.re (atan2 x.im x.re)))) (* (atan2 x.im x.re) y.im))
2.0ms	x.im	@	inf	(/ (cos (+ (* y.im (log (sqrt (+ (* x.im x.im) (* x.re x.re))))) (* y.re (atan2 x.im x.re)))) (* (atan2 x.im x.re) y.im))

rewrite269.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log1p-expm1-u`
271×	`expm1-log1p-u`
268×	`add-exp-log`
266×	`add-log-exp`
266×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	458
1	603	446
2	7973	446

Stop Event

1×	node limit

Counts

12 → 284

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(log.f64 (hypot.f64 x.im x.re))
(hypot.f64 x.im x.re)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(cos.f64 (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.im x.re)) (*.f64 y.re (atan2.f64 x.im x.re)))
(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 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) (*.f64 #s(literal 2 binary64) y.re)))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))))
(-.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(log1p.f64 (-.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(exp.f64 (.f64 (log.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 x.im x.re)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (hypot.f64 x.im x.re))))
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 x.im x.re))) (log.f64 (sqrt.f64 (hypot.f64 x.im x.re))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 x.im x.re)))) #s(literal 1 binary64))
(*.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (hypot.f64 x.im x.re)))
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.im x.re))))
(log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (hypot.f64 x.im x.re))))
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 x.im x.re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x.im x.re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 x.im x.re))
(*.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (hypot.f64 x.im x.re)) (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x.im x.re)))
(*.f64 (sqrt.f64 (hypot.f64 x.im x.re)) (sqrt.f64 (hypot.f64 x.im x.re)))
(pow.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x.im x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 x.im x.re)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (log.f64 (hypot.f64 x.im x.re))))
(sqrt.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (hypot.f64 x.im x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (hypot.f64 x.im x.re)))
(exp.f64 (log.f64 (hypot.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (hypot.f64 x.im x.re))))) (/.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)))
(*.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))) (cbrt.f64 (pow.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)) (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)) (.f64 y.re (log.f64 (hypot.f64 x.im x.re))))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (-.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 1 binary64)))
(pow.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (*.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (exp.f64 #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(exp.f64 (.f64 (log1p.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) #s(literal 1 binary64)))
(fma.f64 y.re (log.f64 (hypot.f64 x.im x.re)) #s(literal 1 binary64))
(fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.re #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (sqrt.f64 (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (atan2.f64 x.im x.re))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (/.f64 (/.f64 #s(literal 1 binary64) y.im) (atan2.f64 x.im x.re)))
(.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 1 binary64))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (/.f64 #s(literal 1 binary64) y.im) (atan2.f64 x.im x.re))))
(.f64 (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))) (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (atan2.f64 x.im x.re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (sqrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 (/.f64 #s(literal 1 binary64) y.im) (atan2.f64 x.im x.re))))
(.f64 (sqrt.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 y.im (atan2.f64 x.im x.re)))) (sqrt.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 y.im (atan2.f64 x.im x.re)))))
(.f64 (neg.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) y.im) (atan2.f64 x.im x.re)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (atan2.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) y.im))
(.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) (atan2.f64 x.im x.re)))
(.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 x.im x.re)) (/.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (.f64 y.re (atan2.f64 x.im x.re)))) y.im))
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(log1p.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) #s(literal 1 binary64)))

simplify681.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

646×	`*-commutative`
547×	`times-frac`
422×	`+-commutative`
286×	`fma-define`
248×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1979	65430
1	5982	64686

Stop Event

1×	node limit

Counts

692 → 1084

Calls

Call 1

Inputs
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 y.re (log.f64 x.re))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.re)))
(+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 6 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.im)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 6 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.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)) y.re) (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (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)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.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)) y.re) (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 4 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64))))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))))))
(log.f64 x.re)
(+.f64 (log.f64 x.re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (log.f64 x.re) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (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 1/6 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log.f64 x.im)
(+.f64 (log.f64 x.im) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (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 1/6 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x.re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x.re))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
x.re
(+.f64 x.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(+.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(+.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 1/16 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
x.im
(.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) x.im)
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
x.im
(+.f64 x.im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
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x.re
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#s(literal 1 binary64)
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(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (*.f64 x.im #s(literal -1 binary64))))))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) #s(literal 1 binary64))
(pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) #s(literal 1 binary64)))

Outputs
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))
(*.f64 y.re (log.f64 x.re))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.re)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (.f64 y.re (log.f64 x.re)))
(+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))))))
(fma.f64 y.re (log.f64 x.re) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 (.f64 y.re (log.f64 x.re)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) y.re) (pow.f64 x.re #s(literal 6 binary64)))))))))
(fma.f64 y.re (log.f64 x.re) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.re #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 y.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 6 binary64)))))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im))))
(neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.im))))
(*.f64 (neg.f64 y.re) (neg.f64 (log.f64 x.im)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 y.re (neg.f64 (log.f64 x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))) (.f64 y.re (neg.f64 (log.f64 x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 #s(literal 1/720 binary64) (.f64 y.re (/.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 #s(literal 1/720 binary64) (.f64 y.re (/.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))) (.f64 y.re (neg.f64 (log.f64 x.im))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(*.f64 (neg.f64 y.re) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/720 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 30 binary64) (pow.f64 x.re #s(literal 6 binary64))) (.f64 #s(literal 90 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 #s(literal 1/720 binary64) (.f64 y.re (/.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 #s(literal 1/720 binary64) (.f64 y.re (/.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(*.f64 y.re (log.f64 x.im))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 y.re (log.f64 x.im)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (.f64 y.re (log.f64 x.im)))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))))
(fma.f64 y.re (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (.f64 y.re (log.f64 x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 6 binary64)))))))))
(fma.f64 y.re (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 y.re (pow.f64 x.im #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 6 binary64))))))))))
(.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal 1 binary64) x.re))))
(neg.f64 (*.f64 y.re (neg.f64 (log.f64 x.re))))
(*.f64 (neg.f64 y.re) (neg.f64 (log.f64 x.re)))
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x.re
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x.im
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x.im
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x.re
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#s(literal 1 binary64)
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(-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.im (log.f64 (neg.f64 x.im)))) (neg.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (*.f64 y.im (log.f64 (neg.f64 x.im)))))))
(-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) (cos.f64 (fma.f64 (log.f64 (.f64 x.im #s(literal -1 binary64))) y.im (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) (sin.f64 (fma.f64 (log.f64 (.f64 x.im #s(literal -1 binary64))) y.im (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))))
(-.f64 (.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (cos.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))) (.f64 (sin.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (neg.f64 x.im))))) (sin.f64 (fma.f64 (log.f64 (neg.f64 x.im)) y.im (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))))
(.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (*.f64 x.im #s(literal -1 binary64)))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (*.f64 x.im #s(literal -1 binary64)))))) #s(literal 1 binary64))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (*.f64 x.im #s(literal -1 binary64))))))) #s(literal 2 binary64)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (*.f64 x.im #s(literal -1 binary64))))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))) (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (*.f64 x.im #s(literal -1 binary64))))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))) (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (-.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))) (.f64 (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))))) (-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))))
(/.f64 (.f64 (fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))) (-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))))) (-.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) (.f64 (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))))
(pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #s(literal 1 binary64))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))) #s(literal 3 binary64))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #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 (neg.f64 x.im)))))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))) #s(literal 2 binary64))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im))))) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im))))))
(log.f64 (exp.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #s(literal 3 binary64)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64))))))))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (*.f64 x.im #s(literal -1 binary64))))))) #s(literal 1 binary64)))
(cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (neg.f64 x.im)))))
(fma.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (cos.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) (.f64 (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (sin.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))
(pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)) #s(literal 1 binary64))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) #s(literal 3 binary64))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) #s(literal 2 binary64))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)) #s(literal 2 binary64)))
(fabs.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal 1 binary64))))
(log1p.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im)) #s(literal 3 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x.im) y.im))

eval353.0ms (1.5%)

Compiler: Compiled 79507 to 7587 computations (90.5% saved)

prune644.0ms (2.7%)

Pruning

52 alts after pruning (48 fresh and 4 done)

	Pruned	Kept	Total
New	1971	33	2004
Fresh	17	15	32
Picked	3	2	5
Done	0	2	2
Total	1991	52	2043

Accuracy

97.1%

Counts

2043 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.7%	(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.im))
✓	10.5%	(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
	3.1%	(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) y.im))
	12.4%	(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
	27.1%	(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
	5.0%	(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) y.im))
	4.4%	(/.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
	26.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
	14.7%	(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
	9.5%	(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
	10.5%	(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
	33.7%	(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
	14.7%	(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
	13.6%	(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
	11.8%	(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
	11.0%	(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
	9.2%	(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
	5.1%	(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))))
	28.5%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
✓	27.2%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
	8.5%	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
	10.9%	(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
	16.6%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
	14.7%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
	21.2%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
	12.0%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
	26.8%	(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
	43.2%	(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
	27.2%	(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
	32.5%	(.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 x.re y.re))
	30.7%	(.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 x.im y.re))
	66.4%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))))))
	51.7%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.im x.re))))))))
	55.4%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
	30.8%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #s(literal 3 binary64)))))
	24.5%	(.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (atan2.f64 x.im x.re)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) y.im) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	26.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
	14.6%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
	27.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
	27.0%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))))
	16.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
	25.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
	27.1%	(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
	62.0%	(.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 y.re (atan2.f64 x.im x.re))))
	21.0%	(.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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
	18.9%	(.f64 (cos.f64 (+.f64 (.f64 y.im (log1p.f64 (-.f64 x.re #s(literal 1 binary64)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
	51.0%	(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
✓	62.2%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
	40.8%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
	37.8%	(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
	32.3%	(.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.im x.re) y.re)))
✓	26.4%	#s(literal 1 binary64)

Compiler

Compiled 3306 to 1132 computations (65.8% saved)

regimes177.0ms (0.7%)

Counts

104 → 4

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.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 (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.re 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.im x.re) y.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) y.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 binary64) (*.f64 y.im (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 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
(/.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.im)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 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.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) 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))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log1p.f64 (-.f64 x.re #s(literal 1 binary64)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))) (exp.f64 (-.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.im (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 #s(literal 1 binary64) (/.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) (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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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 (log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.im (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.im x.re))))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.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))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #s(literal 3 binary64)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.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)))))))
(fabs.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) #s(literal 3 binary64))))))
(.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (atan2.f64 x.im x.re)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) y.im) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) #s(literal 3 binary64))
(/.f64 (-.f64 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (atan2.f64 x.im x.re)) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) y.im))) 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))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.im) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(fma.f64 y.im (-.f64 (neg.f64 (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (atan2.f64 x.im x.re) (pow.f64 (hypot.f64 x.im x.re) y.re)))) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)))

Outputs
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (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))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.im) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
(.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))))

Calls

5 calls:

36.0ms	y.im
35.0ms	x.im
31.0ms	y.re
28.0ms	x.re
24.0ms	(.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

Accuracy	Segments	Branch
78.7%	1	`x.re`
78.7%	1	`x.im`
81.0%	2	`y.re`
84.8%	4	`y.im`
82.2%	3	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 61 to 35 computations (42.6% saved)

regimes46.0ms (0.2%)

Counts

102 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.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 (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.re 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.im x.re) y.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) y.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 binary64) (*.f64 y.im (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 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
(/.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.im)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 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.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) 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))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log1p.f64 (-.f64 x.re #s(literal 1 binary64)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))) (exp.f64 (-.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.im (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 #s(literal 1 binary64) (/.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) (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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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 (log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.im (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.im x.re))))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.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))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (log.f64 (exp.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (.f64 y.im (log.f64 (.f64 x.im #s(literal -1 binary64)))))) #s(literal 3 binary64)))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.re x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.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)))))))
(fabs.f64 (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re)) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (pow.f64 (cbrt.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) #s(literal 3 binary64))))))
(.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (atan2.f64 x.im x.re)) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (.f64 y.im (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))))) y.im) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im)))))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 y.im (log.f64 (hypot.f64 x.re x.im))))))) #s(literal 3 binary64))
(/.f64 (-.f64 (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (atan2.f64 x.im x.re)) (/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) y.im))) y.im)

Outputs

(*.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))))

(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (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.re (atan2.f64 x.im x.re))))

Calls

1 calls:

29.0ms

y.im

Results

Accuracy	Segments	Branch
82.9%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes141.0ms (0.6%)

Counts

87 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.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 (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.re 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.im x.re) y.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) y.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 binary64) (*.f64 y.im (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 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
(/.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.im)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 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.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) 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))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log1p.f64 (-.f64 x.re #s(literal 1 binary64)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))) (exp.f64 (-.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.im (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 #s(literal 1 binary64) (/.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (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 (log.f64 (hypot.f64 x.im x.re)) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (-.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) (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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))) #s(literal 3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))) #s(literal 3 binary64)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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 (log1p.f64 (-.f64 (hypot.f64 x.re x.im) #s(literal 1 binary64))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.im (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (expm1.f64 (log1p.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (expm1.f64 (log1p.f64 (log.f64 (hypot.f64 x.im x.re))))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64))))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (fma.f64 y.re (atan2.f64 x.im x.re) (*.f64 (log.f64 (hypot.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))) (cos.f64 (+.f64 (.f64 (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))

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 (log.f64 (hypot.f64 x.im x.re)) y.im)))

(*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (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 (log.f64 (hypot.f64 x.im x.re)) y.im)))

Calls

5 calls:

31.0ms	x.re
28.0ms	y.re
25.0ms	y.im
25.0ms	x.im
20.0ms	(.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

Accuracy	Segments	Branch
77.3%	3	`x.re`
76.7%	3	`x.im`
76.5%	2	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
81.4%	3	`y.re`
81.7%	4	`y.im`

Compiler

Compiled 61 to 35 computations (42.6% saved)

regimes190.0ms (0.8%)

Counts

70 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.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 (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.re 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.im x.re) y.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) y.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 binary64) (*.f64 y.im (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 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
(/.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.im)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 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.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) 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))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log1p.f64 (-.f64 x.re #s(literal 1 binary64)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))) (exp.f64 (-.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.im (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 #s(literal 1 binary64) (/.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.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 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))

(*.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (*.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))

Calls

2 calls:

155.0ms	y.im
21.0ms	y.re

Results

Accuracy	Segments	Branch
79.0%	3	`y.im`
79.8%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes52.0ms (0.2%)

Counts

69 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.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 (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.re 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.im x.re) y.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) y.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 binary64) (*.f64 y.im (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 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
(/.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.im)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 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.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.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) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) 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))) (cos.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im)))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log1p.f64 (-.f64 x.re #s(literal 1 binary64)))) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im))) (exp.f64 (-.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
(.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (exp.f64 (-.f64 (neg.f64 (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re)))) (*.f64 y.im (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 #s(literal 1 binary64) (/.f64 (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.im x.re)) y.im (*.f64 (atan2.f64 x.im x.re) y.re)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))))

Outputs

(*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))

(*.f64 (fabs.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.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))))

Calls

2 calls:

22.0ms	y.re
19.0ms	y.im

Results

Accuracy	Segments	Branch
78.5%	3	`y.im`
79.5%	4	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes95.0ms (0.4%)

Counts

59 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.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 (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.re 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.im x.re) y.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) y.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 binary64) (*.f64 y.im (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 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
(/.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (neg.f64 (log.f64 x.im))))) (fma.f64 y.im (atan2.f64 x.im x.re) #s(literal 1 binary64)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (*.f64 y.re (log.f64 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 (log.f64 (/.f64 #s(literal -1 binary64) x.im)) y.im)))
(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))))
(.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) y.re))
(/.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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 y.im (log.f64 x.im))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 x.re))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.im)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.im)))))
(.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (atan2.f64 x.im x.re))) (.f64 y.re (log.f64 x.re)))))

Outputs

(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))

(*.f64 (cos.f64 (*.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (*.f64 y.im (neg.f64 (atan2.f64 x.im x.re)))))

(*.f64 (fabs.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))

Calls

4 calls:

19.0ms	y.im
17.0ms	x.re
16.0ms	x.im
16.0ms	y.re

Results

Accuracy	Segments	Branch
74.9%	5	`x.im`
71.7%	4	`x.re`
76.0%	3	`y.re`
76.5%	4	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes55.0ms (0.2%)

Counts

42 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.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 (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.re 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.im x.re) y.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) y.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 binary64) (*.f64 y.im (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 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
(/.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))
(.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))

Outputs

(*.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.im x.re) y.re)))

(*.f64 (fabs.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) 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.im x.re) y.re)))

Calls

4 calls:

13.0ms	y.im
13.0ms	x.re
12.0ms	x.im
12.0ms	y.re

Results

Accuracy	Segments	Branch
62.6%	1	`x.re`
62.6%	1	`x.im`
69.4%	3	`y.im`
62.6%	1	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes17.0ms (0.1%)

Counts

41 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.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 (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.re 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.im x.re) y.re)))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (neg.f64 (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.re))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(/.f64 (cos.f64 (+.f64 (.f64 y.im (log.f64 x.re)) (.f64 y.re (atan2.f64 x.im x.re)))) (*.f64 (atan2.f64 x.im x.re) y.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 binary64) (*.f64 y.im (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 binary64) (*.f64 y.im (atan2.f64 x.im x.re))))
(/.f64 (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))) (*.f64 (atan2.f64 x.im x.re) y.im))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x.re)) y.im))))
(/.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 binary64) (.f64 y.im (atan2.f64 x.im x.re))))

Outputs

(*.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.im x.re) y.re)))

(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) 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.im x.re) y.re)))

Calls

1 calls:

12.0ms

y.im

Results

Accuracy	Segments	Branch
66.7%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes58.0ms (0.2%)

Counts

32 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(+.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 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 (atan2.f64 x.im x.re) y.im))
(.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 (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.re y.re))

Outputs
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))

Calls

4 calls:

26.0ms	y.re
10.0ms	x.re
9.0ms	x.im
9.0ms	y.im

Results

Accuracy	Segments	Branch
62.2%	1	`x.re`
62.2%	1	`x.im`
62.2%	1	`y.re`
62.2%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes35.0ms (0.1%)

Counts

26 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))
(/.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.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 (atan2.f64 x.im x.re))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.im) (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (+.f64 (log.f64 x.re) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) x.re)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x.im)))))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 y.re (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) y.re) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (log1p.f64 (expm1.f64 (hypot.f64 x.im x.re))))))

Outputs

(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re))

(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))

(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))

Calls

4 calls:

9.0ms	y.re
8.0ms	y.im
8.0ms	x.im
8.0ms	x.re

Results

Accuracy	Segments	Branch
51.8%	2	`x.re`
55.1%	3	`x.im`
58.7%	3	`y.re`
54.0%	3	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0%)

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))

Outputs

(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))

(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))

(*.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))

Calls

2 calls:

5.0ms	x.im
5.0ms	y.re

Results

Accuracy	Segments	Branch
51.7%	2	`x.im`
54.4%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes22.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(+.f64 #s(literal 1 binary64) (fabs.f64 (*.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (fabs.f64 (log.f64 (hypot.f64 x.im x.re)))))

Outputs
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))

Calls

4 calls:

6.0ms	y.im
5.0ms	x.re
5.0ms	x.im
5.0ms	y.re

Results

Accuracy	Segments	Branch
43.2%	1	`x.im`
43.2%	1	`x.re`
43.2%	1	`y.im`
43.2%	1	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes18.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))

Outputs

(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))

(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))

(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (+.f64 x.re (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))

Calls

4 calls:

5.0ms	x.re
4.0ms	y.im
4.0ms	x.im
4.0ms	y.re

Results

Accuracy	Segments	Branch
33.3%	3	`y.re`
28.5%	1	`x.re`
28.5%	1	`x.im`
28.5%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (0%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))
(+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))

Outputs

(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))

(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))

(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (+.f64 x.im (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))

Calls

1 calls:

4.0ms

y.re

Results

Accuracy	Segments	Branch
33.0%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(*.f64 (neg.f64 y.re) (-.f64 (neg.f64 (log.f64 (hypot.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) y.re)))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))

Calls

1 calls:

3.0ms

y.re

Results

Accuracy	Segments	Branch
31.3%	2	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes41.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))

Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))

Calls

4 calls:

3.0ms	x.re
3.0ms	y.re
3.0ms	y.im
3.0ms	x.im

Results

Accuracy	Segments	Branch
27.2%	1	`y.im`
27.2%	1	`x.re`
27.2%	1	`x.im`
27.2%	1	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0.1%)

Accuracy

Total -16.9b remaining (-35.8%)

Threshold costs -16.9b (-35.8%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 x.im)))
(+.f64 (*.f64 y.re (log.f64 x.re)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.im))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (neg.f64 x.re))))
(-.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (/.f64 #s(literal -1 binary64) x.im))))

Outputs
#s(literal 1 binary64)

Calls

4 calls:

4.0ms	x.re
2.0ms	x.im
2.0ms	y.im
2.0ms	y.re

Results

Accuracy	Segments	Branch
26.4%	1	`x.re`
26.4%	1	`y.re`
26.4%	1	`x.im`
26.4%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch94.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.256531526556352e+52	5.460950257121871e+65
32.0ms	7.343009271040056e-37	2.917202010115252e-34
22.0ms	-15609.145517350675	-3966.7040318118325

Results

36.0ms	206×	0	valid
36.0ms	98×	1	valid

Compiler

Compiled 1602 to 881 computations (45% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 20.0ms (37.8% of total)

ival-cos: 7.0ms (13.2% of total)

ival-log: 7.0ms (13.2% of total)

ival-add: 4.0ms (7.6% of total)

ival-atan2: 4.0ms (7.6% of total)

ival-exp: 3.0ms (5.7% of total)

ival-sqrt: 3.0ms (5.7% of total)

ival-sub: 2.0ms (3.8% of total)

backward-pass: 2.0ms (3.8% of total)

const: 0.0ms (0% of total)

bsearch64.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	7.343009271040056e-37	2.917202010115252e-34
23.0ms	-15609.145517350675	-3966.7040318118325

Results

29.0ms	161×	0	valid
19.0ms	47×	1	valid

Compiler

Compiled 794 to 483 computations (39.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 12.0ms (32.1% of total)

ival-log: 8.0ms (21.4% of total)

ival-atan2: 4.0ms (10.7% of total)

ival-cos: 4.0ms (10.7% of total)

ival-add: 3.0ms (8% of total)

ival-exp: 2.0ms (5.4% of total)

ival-sqrt: 2.0ms (5.4% of total)

ival-sub: 1.0ms (2.7% of total)

backward-pass: 1.0ms (2.7% of total)

const: 0.0ms (0% of total)

bsearch201.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
61.0ms	2.1321702437970626e+45	1.1426225370664223e+55
40.0ms	-14.841665840918415	-8.065236452037436e-17

Results

57.0ms	143×	1	valid
33.0ms	177×	0	valid

Compiler

Compiled 1068 to 705 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 31.0ms (44.7% of total)

ival-log: 9.0ms (13% of total)

ival-cos: 7.0ms (10.1% of total)

ival-add: 5.0ms (7.2% of total)

ival-atan2: 5.0ms (7.2% of total)

ival-sqrt: 4.0ms (5.8% of total)

ival-exp: 3.0ms (4.3% of total)

backward-pass: 3.0ms (4.3% of total)

ival-sub: 2.0ms (2.9% of total)

const: 0.0ms (0% of total)

bsearch82.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	1.1686877769110642e-12	1.4745495516393093e-10
41.0ms	-14.841665840918415	-8.065236452037436e-17

Results

43.0ms	211×	0	valid
22.0ms	61×	1	valid

Compiler

Compiled 877 to 569 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 15.0ms (28.5% of total)

ival-exp: 11.0ms (20.9% of total)

ival-add: 7.0ms (13.3% of total)

ival-log: 6.0ms (11.4% of total)

ival-cos: 5.0ms (9.5% of total)

ival-sqrt: 3.0ms (5.7% of total)

ival-atan2: 3.0ms (5.7% of total)

ival-sub: 2.0ms (3.8% of total)

backward-pass: 2.0ms (3.8% of total)

const: 0.0ms (0% of total)

bsearch61.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	7.343009271040056e-37	2.917202010115252e-34
26.0ms	-3966.7040318118325	-53.14064743629953

Results

31.0ms	201×	0	valid
16.0ms	39×	1	valid

Compiler

Compiled 698 to 447 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 12.0ms (33.2% of total)

ival-cos: 5.0ms (13.8% of total)

ival-log: 4.0ms (11.1% of total)

ival-add: 3.0ms (8.3% of total)

ival-atan2: 3.0ms (8.3% of total)

backward-pass: 3.0ms (8.3% of total)

ival-exp: 2.0ms (5.5% of total)

ival-sqrt: 2.0ms (5.5% of total)

ival-sub: 1.0ms (2.8% of total)

const: 0.0ms (0% of total)

bsearch99.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	1.1686877769110642e-12	1.4745495516393093e-10
55.0ms	-14.841665840918415	-8.065236452037436e-17

Results

56.0ms	199×	0	valid
27.0ms	73×	1	valid

Compiler

Compiled 684 to 457 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-cos: 21.0ms (30.4% of total)

ival-mult: 16.0ms (23.2% of total)

ival-exp: 13.0ms (18.8% of total)

ival-log: 6.0ms (8.7% of total)

ival-add: 3.0ms (4.3% of total)

ival-sqrt: 3.0ms (4.3% of total)

ival-atan2: 3.0ms (4.3% of total)

ival-sub: 2.0ms (2.9% of total)

backward-pass: 2.0ms (2.9% of total)

const: 0.0ms (0% of total)

bsearch302.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
248.0ms	6.072615603280654e-15	0.19086295310015036
47.0ms	-2.0901321679753213e+26	-3.750918034514443e+23

Results

253.0ms	103×	1	valid
31.0ms	185×	0	valid

Compiler

Compiled 732 to 493 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

ival-atan2: 210.0ms (81% of total)

ival-mult: 18.0ms (6.9% of total)

ival-add: 7.0ms (2.7% of total)

ival-cos: 7.0ms (2.7% of total)

ival-log: 7.0ms (2.7% of total)

ival-exp: 3.0ms (1.2% of total)

ival-sqrt: 3.0ms (1.2% of total)

ival-sub: 2.0ms (0.8% of total)

backward-pass: 2.0ms (0.8% of total)

const: 0.0ms (0% of total)

bsearch111.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	1.2435954687371854e+115	1.37933071737336e+117
42.0ms	-2.0901321679753213e+26	-3.750918034514443e+23

Results

54.0ms	139×	1	valid
14.0ms	101×	0	valid

Compiler

Compiled 603 to 400 computations (33.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 17.0ms (31.9% of total)

ival-log: 9.0ms (16.9% of total)

ival-cos: 8.0ms (15% of total)

ival-add: 4.0ms (7.5% of total)

ival-atan2: 4.0ms (7.5% of total)

ival-sqrt: 3.0ms (5.6% of total)

backward-pass: 3.0ms (5.6% of total)

ival-exp: 2.0ms (3.8% of total)

ival-sub: 2.0ms (3.8% of total)

const: 0.0ms (0% of total)

bsearch601.0ms (2.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	1.8261317360175206e+132	2.8515375995165117e+134
80.0ms	-36243.46120590916	-14.841665840918415

Results

40.0ms	109×	1	valid
36.0ms	131×	0	valid

Compiler

Compiled 468 to 325 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-log: 22.0ms (35.8% of total)

ival-mult: 16.0ms (26% of total)

ival-cos: 6.0ms (9.8% of total)

ival-add: 4.0ms (6.5% of total)

ival-atan2: 4.0ms (6.5% of total)

ival-exp: 3.0ms (4.9% of total)

ival-sqrt: 3.0ms (4.9% of total)

backward-pass: 3.0ms (4.9% of total)

ival-sub: 2.0ms (3.3% of total)

const: 0.0ms (0% of total)

bsearch82.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.8261317360175206e+132	2.8515375995165117e+134
36.0ms	-36243.46120590916	-14.841665840918415

Results

47.0ms	113×	1	valid
20.0ms	127×	0	valid

Compiler

Compiled 468 to 325 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 16.0ms (30.7% of total)

ival-cos: 7.0ms (13.4% of total)

ival-log: 7.0ms (13.4% of total)

ival-atan2: 6.0ms (11.5% of total)

backward-pass: 5.0ms (9.6% of total)

ival-add: 4.0ms (7.7% of total)

ival-exp: 3.0ms (5.7% of total)

ival-sqrt: 3.0ms (5.7% of total)

ival-sub: 2.0ms (3.8% of total)

const: 0.0ms (0% of total)

bsearch105.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
51.0ms	4.801357076964279e+175	1.422589901327966e+177
46.0ms	-14.841665840918415	-8.065236452037436e-17

Results

67.0ms	136×	1	valid
20.0ms	136×	0	valid

Compiler

Compiled 552 to 410 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 20.0ms (28.2% of total)

ival-atan2: 17.0ms (24% of total)

ival-log: 9.0ms (12.7% of total)

ival-cos: 7.0ms (9.9% of total)

ival-exp: 5.0ms (7.1% of total)

ival-add: 4.0ms (5.6% of total)

ival-sqrt: 4.0ms (5.6% of total)

backward-pass: 3.0ms (4.2% of total)

ival-sub: 2.0ms (2.8% of total)

const: 0.0ms (0% of total)

bsearch278.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
179.0ms	2.1321702437970626e+45	1.1426225370664223e+55
90.0ms	-14.841665840918415	-8.065236452037436e-17

Results

179.0ms	140×	1	valid
78.0ms	180×	0	valid

Compiler

Compiled 648 to 485 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-sqrt: 132.0ms (55.2% of total)

ival-mult: 73.0ms (30.5% of total)

ival-cos: 8.0ms (3.3% of total)

ival-log: 8.0ms (3.3% of total)

ival-add: 5.0ms (2.1% of total)

ival-atan2: 4.0ms (1.7% of total)

ival-exp: 3.0ms (1.3% of total)

backward-pass: 3.0ms (1.3% of total)

ival-sub: 2.0ms (0.8% of total)

const: 0.0ms (0% of total)

bsearch90.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
87.0ms	-14.841665840918415	-8.065236452037436e-17

Results

19.0ms	118×	0	valid
15.0ms	42×	1	valid

Compiler

Compiled 328 to 235 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 10.0ms (37.1% of total)

ival-cos: 4.0ms (14.9% of total)

ival-log: 4.0ms (14.9% of total)

ival-add: 2.0ms (7.4% of total)

ival-exp: 2.0ms (7.4% of total)

ival-sqrt: 2.0ms (7.4% of total)

ival-atan2: 2.0ms (7.4% of total)

ival-sub: 1.0ms (3.7% of total)

backward-pass: 1.0ms (3.7% of total)

const: 0.0ms (0% of total)

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative`
21×	`+-commutative`
19×	`neg-mul-1`
17×	`unsub-neg`
10×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	2941
1	254	2941
2	274	2941
3	289	2941
4	319	2941
5	362	2941
6	364	2941

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y.im #s(literal -4000 binary64)) (.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im #s(literal 3390683798607695/11692013098647223345629478661730264157247460343808 binary64)) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (if (<=.f64 y.im #s(literal 199999999999999994337576099120928401699872656732354315812864 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.im) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (.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.im #s(literal -4000 binary64)) (.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im #s(literal 3390683798607695/11692013098647223345629478661730264157247460343808 binary64)) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (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.re (atan2.f64 x.im x.re))))))
(if (<=.f64 y.re #s(literal -7673845534663173/147573952589676412928 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 (log.f64 (hypot.f64 x.im x.re)) y.im))) (if (<=.f64 y.re #s(literal 35500000000000001150879236027171597610563665920 binary64)) (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (.f64 y.im (neg.f64 (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 (log.f64 (hypot.f64 x.im x.re)) y.im)))))
(if (<=.f64 y.re #s(literal -7737125245533627/618970019642690137449562112 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 3466232109999065/618970019642690137449562112 binary64)) (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
(if (<=.f64 y.im #s(literal -60 binary64)) (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (pow.f64 (exp.f64 y.im) (neg.f64 (atan2.f64 x.im x.re)))) (if (<=.f64 y.im #s(literal 3390683798607695/11692013098647223345629478661730264157247460343808 binary64)) (.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.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))))))
(if (<=.f64 y.re #s(literal -8854437155380585/1180591620717411303424 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re)) (if (<=.f64 y.re #s(literal 8897694032363671/77371252455336267181195264 binary64)) (.f64 (cos.f64 (.f64 (log.f64 (hypot.f64 x.im x.re)) y.im)) (exp.f64 (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (.f64 (fabs.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re))))
(if (<=.f64 y.im #s(literal -619999999999999941279744 binary64)) (.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.im x.re) y.re))) (if (<=.f64 y.im #s(literal 5764607523034235/36028797018963968 binary64)) (.f64 (fabs.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) 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.im x.re) y.re)))))
(if (<=.f64 y.im #s(literal -95000000000000005385486336 binary64)) (.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.im x.re) y.re))) (if (<=.f64 y.im #s(literal 459999999999999989659325621290652396183354825642717336524739019852484047929622772222269285765914440142949473014775808 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) 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.im x.re) y.re)))))
(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(if (<=.f64 y.re #s(literal -235 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (if (<=.f64 y.re #s(literal 11499999999999999500519963163209888359605600773362438437019667900298728564671461773854776025873121945107763362672888393271098912800768 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(if (<=.f64 y.re #s(literal -21000 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re)) (if (<=.f64 y.re #s(literal 260000000000000015898218399740970261055992907462082882672863000390561233361064044982286064811206531992316128092316652842772647687225344 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
(+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re)))
(if (<=.f64 y.re #s(literal -3314649325744685/144115188075855872 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64))))) (if (<=.f64 y.re #s(literal 81999999999999995549538382308998300436387763817089026305081430297980255664010905953307751607236524680573407546551126701604461111579394387404127365340444434507336611110246678528 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)))))))
(if (<=.f64 y.re #s(literal -6980579422424269/2251799813685248 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64))))) (if (<=.f64 y.re #s(literal 1180000000000000067964022476111249217625977257984 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (+.f64 x.im (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)))))))
(if (<=.f64 y.re #s(literal -3/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 y.re (log1p.f64 (-.f64 (hypot.f64 x.im x.re) #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 y.re (log.f64 (hypot.f64 x.im x.re)))))
(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
#s(literal 1 binary64)

Outputs
(if (<=.f64 y.im #s(literal -4000 binary64)) (.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (if (<=.f64 y.im #s(literal 3390683798607695/11692013098647223345629478661730264157247460343808 binary64)) (.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (+.f64 #s(literal 1 binary64) (.f64 y.im (atan2.f64 x.im x.re)))) (fabs.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))) (if (<=.f64 y.im #s(literal 199999999999999994337576099120928401699872656732354315812864 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.im) (.f64 (pow.f64 (log.f64 (hypot.f64 x.im x.re)) #s(literal 2 binary64)) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (.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)))))))
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(if (or (<=.f64 y.im #s(literal -619999999999999941279744 binary64)) (not (<=.f64 y.im #s(literal 5764607523034235/36028797018963968 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (.f64 y.re (atan2.f64 x.im x.re)) #s(literal 2 binary64)))) (.f64 (fabs.f64 (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))) (pow.f64 (hypot.f64 x.im x.re) y.re)))
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(.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (hypot.f64 x.im x.re) y.re))
(if (<=.f64 y.re #s(literal -235 binary64)) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.re y.re)) (if (<=.f64 y.re #s(literal 11499999999999999500519963163209888359605600773362438437019667900298728564671461773854776025873121945107763362672888393271098912800768 binary64)) (+.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (hypot.f64 x.im x.re) y.re))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 x.im y.re))))
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(+.f64 #s(literal 1 binary64) (*.f64 y.re (log.f64 (hypot.f64 x.im x.re))))
#s(literal 1 binary64)

soundness3.5s (14.6%)

Rules

1025×	`log1p-expm1-u`
712×	`*-commutative`
707×	`times-frac`
697×	`fma-neg`
646×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	149	1920
1	403	1848
2	852	1846
3	1595	1840
4	3202	1840
5	5296	1840
6	7443	1840
0	36	455
1	536	443
2	6523	443
0	1979	65430
1	5982	64686
0	37	458
1	603	446
2	7973	446
0	2051	101430
1	6237	99892
0	1257	47089
1	3782	46373
0	1374	40638
1	3770	39327

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 3440 to 885 computations (74.3% saved)

preprocess159.0ms (0.7%)

Compiler: Compiled 1528 to 368 computations (75.9% saved)

analyze493.0ms (2.1%)

sample4.3s (18.2%)

preprocess187.0ms (0.8%)

explain733.0ms (3.1%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify82.0ms (0.3%)

localize403.0ms (1.7%)

series436.0ms (1.8%)

rewrite525.0ms (2.2%)

simplify1.0s (4.3%)

eval289.0ms (1.2%)

prune340.0ms (1.4%)

simplify154.0ms (0.7%)

localize529.0ms (2.2%)

series233.0ms (1%)

rewrite230.0ms (1%)

simplify499.0ms (2.1%)

eval653.0ms (2.8%)

prune656.0ms (2.8%)

simplify155.0ms (0.7%)

localize517.0ms (2.2%)

series168.0ms (0.7%)

rewrite215.0ms (0.9%)

simplify598.0ms (2.5%)

eval411.0ms (1.7%)

prune290.0ms (1.2%)

simplify279.0ms (1.2%)

localize310.0ms (1.3%)

series178.0ms (0.8%)

rewrite269.0ms (1.1%)

simplify681.0ms (2.9%)

eval353.0ms (1.5%)

prune644.0ms (2.7%)

regimes177.0ms (0.7%)

regimes46.0ms (0.2%)

regimes141.0ms (0.6%)

regimes190.0ms (0.8%)

regimes52.0ms (0.2%)

regimes95.0ms (0.4%)

regimes55.0ms (0.2%)

regimes17.0ms (0.1%)

regimes58.0ms (0.2%)

regimes35.0ms (0.1%)

regimes11.0ms (0%)

regimes22.0ms (0.1%)

regimes18.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes41.0ms (0.2%)

regimes12.0ms (0.1%)

bsearch94.0ms (0.4%)

bsearch64.0ms (0.3%)

bsearch201.0ms (0.8%)

bsearch82.0ms (0.3%)

bsearch61.0ms (0.3%)

bsearch99.0ms (0.4%)

bsearch302.0ms (1.3%)

bsearch111.0ms (0.5%)

bsearch601.0ms (2.5%)

bsearch82.0ms (0.3%)

bsearch105.0ms (0.4%)

bsearch278.0ms (1.2%)

bsearch90.0ms (0.4%)

simplify52.0ms (0.2%)

soundness3.5s (14.6%)

preprocess159.0ms (0.7%)

end0.0ms (0%)

Profiling