Metrics for powComplex, real part

analyze458.0ms (2.7%)

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: 280.0ms

Operation ival-mult, time spent: 114.0ms, 41.0% of total-time

Operation ival-add, time spent: 47.0ms, 17.0% of total-time

Operation ival-log, time spent: 29.0ms, 10.0% of total-time

Operation ival-atan2, time spent: 24.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 22.0ms, 8.0% of total-time

Operation ival-exp, time spent: 18.0ms, 6.0% of total-time

Operation ival-cos, time spent: 13.0ms, 5.0% of total-time

Operation ival-sub, time spent: 11.0ms, 4.0% of total-time

Operation const, time spent: 2.0ms, 1.0% of total-time

sample5.0s (29.2%)

Results

2.1s	5285×	0	valid
1.8s	2565×	1	infinite
684.0ms	404×	5	exit
85.0ms	384×	0	infinite
9.0ms	21×	1	valid
0.0ms	1×	1	infinite

Precisions

Click to see histograms. Total time spent on operations: 3.0s

Operation ival-mult, time spent: 919.0ms, 30.0% of total-time

Operation ival-cos, time spent: 464.0ms, 15.0% of total-time

Operation ival-atan2, time spent: 459.0ms, 15.0% of total-time

Operation ival-log, time spent: 379.0ms, 13.0% of total-time

Operation backward-pass, time spent: 238.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 163.0ms, 5.0% of total-time

Operation ival-add, time spent: 154.0ms, 5.0% of total-time

Operation ival-sub, time spent: 139.0ms, 5.0% of total-time

Operation ival-exp, time spent: 90.0ms, 3.0% of total-time

Operation const, time spent: 14.0ms, 0.0% of total-time

Bogosity

preprocess706.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-neg`
484×	`exp-prod`
381×	`unsub-neg`
335×	`exp-sum`
317×	`fma-define`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
184	-	1	(2.2975808664522396e+49 9.745103930526399e-173 -5.759871498177727e+146 1.3431595405955107e+307)	`(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)))`
127	-	3	(-2.343103461760424e-156 -1.7492730184241852e-304 3.683277014683769e-227 -6.17128581302432e+38)	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`
5	-	0	-	`(*.f64 (atan2.f64 x.im x.re) y.re)`
1	-	0	-	`(*.f64 (atan2.f64 x.im x.re) 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))`
0	-	0	-	`y.im`
0	-	0	-	`y.re`
0	-	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.re)`
0	-	0	-	`(*.f64 x.im 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	-	`x.im`
0	-	0	-	`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	-	`(*.f64 x.re x.re)`
0	-	0	-	`(atan2.f64 x.im x.re)`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`

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))))

Compiler

Compiled 403 to 59 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

Operation ival-mult, time spent: 60.0ms, 30.0% of total-time

Operation ival-cos, time spent: 52.0ms, 26.0% of total-time

Operation ival-log, time spent: 26.0ms, 13.0% of total-time

Operation ival-add, time spent: 23.0ms, 12.0% of total-time

Operation ival-atan2, time spent: 15.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 5.0% of total-time

Operation ival-exp, time spent: 7.0ms, 4.0% of total-time

Operation ival-sub, time spent: 5.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

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
▶	73.8%	(.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)))))
▶	85.4%	(.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)))))
▶	44.0%	(.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))))

Status

Accuracy

Program

▶

73.8%

(*.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)))))

▶

85.4%

(*.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)))))

▶

44.0%

(*.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))))

Compiler

Compiled 100 to 49 computations (51% saved)

localize980.0ms (5.7%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))
✓	99.9%	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re)))
✓	98.3%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	70.4%	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓	99.8%	(fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im)))
✓	99.8%	(*.f64 (atan2.f64 x.im x.re) (neg.f64 y.im))
✓	98.3%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	70.4%	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓	99.7%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)
✓	98.3%	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	71.2%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	70.4%	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))

Compiler

Compiled 374 to 35 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 760.0ms

Operation ival-cos, time spent: 251.0ms, 33.0% of total-time

Operation ival-pow, time spent: 186.0ms, 24.0% of total-time

Operation ival-log, time spent: 94.0ms, 12.0% of total-time

Operation ival-mult, time spent: 83.0ms, 11.0% of total-time

Operation composed, time spent: 45.0ms, 6.0% of total-time

Operation ival-atan2, time spent: 36.0ms, 5.0% of total-time

Operation ival-exp, time spent: 20.0ms, 3.0% of total-time

Operation ival-add, time spent: 17.0ms, 2.0% of total-time

Operation ival-sqrt, time spent: 13.0ms, 2.0% of total-time

Operation ival-div, time spent: 6.0ms, 1.0% of total-time

Operation ival-neg, time spent: 3.0ms, 0.0% of total-time

Operation ival-sub, time spent: 3.0ms, 0.0% of total-time

Operation const, time spent: 1.0ms, 0.0% of total-time

series243.0ms (1.4%)

Counts

12 → 408

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
57.0ms	y.im	@	0	(* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im)
46.0ms	y.im	@	-inf	(pow (exp y.im) (atan2 x.im x.re))
16.0ms	x.im	@	0	(pow (exp y.im) (atan2 x.im x.re))
13.0ms	y.im	@	inf	(pow (exp y.im) (atan2 x.im x.re))
6.0ms	x.re	@	0	(pow (exp y.im) (atan2 x.im x.re))

rewrite462.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`log1p-expm1-u`
566×	`expm1-log1p-u`
191×	`add-exp-log`
189×	`add-log-exp`
187×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	418
1	497	410
2	5486	410

Stop Event

1×	node limit

Counts

12 → 248

Calls

Call 1

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

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

simplify588.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

720×	`associate-r`
562×	`associate-l`
344×	`associate-+r+`
318×	`associate-+l+`
282×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1007	55749
1	2882	54950

Stop Event

1×	node limit

Counts

656 → 622

Calls

Call 1

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

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

eval390.0ms (2.3%)

Compiler: Compiled 39556 to 13233 computations (66.5% saved)

prune230.0ms (1.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	816	23	839
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	819	23	842

Accuracy

98.7%

Counts

842 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))))
	37.5%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
▶	64.8%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (*.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))))
	50.0%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	63.4%	(.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)))) (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) #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)))))
▶	74.0%	(.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 (.f64 y.im (+.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im))))))
	27.6%	(.f64 (exp.f64 (-.f64 (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) y.re) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 y.re (neg.f64 (log.f64 x.im)))) (.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)))))
	16.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (.f64 (neg.f64 x.re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	63.3%	(.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 (log.f64 (hypot.f64 x.im x.re)) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))
	64.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (-.f64 (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))) (.f64 y.re (.f64 (atan2.f64 x.im x.re) (sin.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))))
	53.8%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (.f64 y.re (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) y.re) (pow.f64 (atan2.f64 x.im x.re) #s(literal 2 binary64))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))) (.f64 (atan2.f64 x.im x.re) (sin.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))))))
	48.4%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 #s(literal -1 binary64) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re))))))))
	66.0%	(.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))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	20.6%	(.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 (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))))
	22.1%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	45.1%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64)))))
▶	64.1%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	66.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	20.9%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
	17.8%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	38.1%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.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)))))
	40.9%	(.f64 (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.re))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re)))))

Compiler

Compiled 1714 to 992 computations (42.1% saved)

localize1.3s (7.5%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
	99.2%	(*.f64 (atan2.f64 x.im x.re) y.re)
✓	98.3%	(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))
	85.5%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	85.1%	(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))
✓	99.9%	(*.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))
✓	99.8%	(/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)
✓	97.7%	(.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))
✓	85.1%	(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)))))
✓	99.9%	(*.f64 y.im (atan2.f64 x.im x.re))
✓	99.9%	(*.f64 (log.f64 x.im) y.re)
✓	99.2%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	85.1%	(cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (*.f64 y.re (atan2.f64 x.im x.re))))
✓	99.9%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)
✓	99.2%	(*.f64 y.re (atan2.f64 x.im x.re))
✓	88.6%	(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
	85.5%	(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))
✓	99.5%	(*.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im))
✓	99.2%	(/.f64 (atan2.f64 x.im x.re) y.im)
✓	95.1%	(.f64 y.im (+.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im))))
✓	85.1%	(cos.f64 (.f64 y.im (+.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im)))))

Compiler

Compiled 688 to 68 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

Operation ival-cos, time spent: 379.0ms, 37.0% of total-time

Operation ival-pow, time spent: 253.0ms, 25.0% of total-time

Operation ival-log, time spent: 128.0ms, 13.0% of total-time

Operation ival-mult, time spent: 122.0ms, 12.0% of total-time

Operation composed, time spent: 41.0ms, 4.0% of total-time

Operation ival-add, time spent: 22.0ms, 2.0% of total-time

Operation ival-atan2, time spent: 17.0ms, 2.0% of total-time

Operation ival-div, time spent: 15.0ms, 1.0% of total-time

Operation ival-exp, time spent: 12.0ms, 1.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 1.0% of total-time

Operation ival-neg, time spent: 8.0ms, 1.0% of total-time

Operation ival-cbrt, time spent: 5.0ms, 0.0% of total-time

Operation ival-sub, time spent: 4.0ms, 0.0% of total-time

Operation const, time spent: 2.0ms, 0.0% of total-time

series353.0ms (2.1%)

Counts

17 → 520

Calls

Call 1

Inputs
#<alt (cos.f64 (.f64 y.im (+.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im)))))>
#<alt (.f64 y.im (+.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im))))>
#<alt (/.f64 (atan2.f64 x.im x.re) y.im)>
#<alt (*.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im))>
#<alt (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (*.f64 y.re (atan2.f64 x.im x.re))>
#<alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)>
#<alt (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 (log.f64 x.im) y.re)>
#<alt (*.f64 y.im (atan2.f64 x.im x.re))>
#<alt (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)))))>
#<alt (.f64 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))>
#<alt (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)>
#<alt (*.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))>
#<alt (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))>

Outputs
#<alt (cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 #s(literal -1 binary64) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re)))))))>
#<alt (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 y.im (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64))))) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))>
#<alt (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 y.im (-.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 y.im (.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))) (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))>
#<alt (cos.f64 (.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 (cos.f64 (.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 (cos.f64 (.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 (cos.f64 (.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 (cos.f64 (.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 (cos.f64 (.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 (cos.f64 (.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 (cos.f64 (.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 (cos.f64 (.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im))))>
#<alt (+.f64 (cos.f64 (.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 y.im (sin.f64 (.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (*.f64 y.re (atan2.f64 x.im x.re)) y.im)))))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (+.f64 (cos.f64 (.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (cos.f64 (.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im))))) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 y.im (sin.f64 (.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im))))) (pow.f64 x.re #s(literal 4 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y.im (sin.f64 (.f64 y.im (+.f64 (log.f64 x.re) (/.f64 (.f64 y.re (atan2.f64 x.im x.re)) y.im))))) (pow.f64 x.re #s(literal 2 binary64)))))))>
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#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 y.re (atan2.f64 x.im x.re))) (cbrt.f64 #s(literal -1 binary64))))>

Calls

174 calls:

Time	Variable		Point	Expression
79.0ms	x.im	@	inf	(/ (log (sqrt (+ (* x.im x.im) (* x.re x.re)))) y.re)
72.0ms	y.re	@	0	(* (log x.im) y.re)
17.0ms	x.im	@	-inf	(* (log x.im) y.re)
12.0ms	x.im	@	0	(* (log x.im) y.re)
11.0ms	x.im	@	inf	(* (log x.im) y.re)

rewrite234.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

318×	`log1p-expm1-u`
318×	`expm1-log1p-u`
313×	`add-exp-log`
311×	`add-cube-cbrt`
308×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	637
1	815	621

Stop Event

1×	node limit

Counts

17 → 332

Calls

Call 1

Inputs
(cos.f64 (.f64 y.im (+.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im)))))
(.f64 y.im (+.f64 (log.f64 (hypot.f64 x.im x.re)) (.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im))))
(/.f64 (atan2.f64 x.im x.re) y.im)
(*.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im))
(cos.f64 (*.f64 y.re (atan2.f64 x.im x.re)))
(*.f64 y.re (atan2.f64 x.im x.re))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) 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 (log.f64 x.im) y.re)
(*.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 y.re (+.f64 (atan2.f64 x.im x.re) (.f64 y.im (/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re))))
(/.f64 (log.f64 (hypot.f64 x.im x.re)) y.re)
(*.f64 y.im (/.f64 (log.f64 (hypot.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.im) (pow.f64 (cbrt.f64 (.f64 (atan2.f64 x.im x.re) y.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (atan2.f64 x.im x.re) y.re))

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

simplify552.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

507×	`*-commutative`
352×	`associate-+r+`
344×	`associate-+l+`
322×	`+-commutative`
286×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1684	73531
1	4801	71575

Stop Event

1×	node limit

Counts

852 → 879

Calls

Call 1

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

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

eval1.4s (8.4%)

Compiler: Compiled 74367 to 28614 computations (61.5% saved)

prune937.0ms (5.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	1517	11	1528
Fresh	10	8	18
Picked	5	0	5
Done	0	0	0
Total	1532	19	1551

Accuracy

99.4%

Counts

1551 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))))
	37.5%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
	63.4%	(.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)))) (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) #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)))))
	50.1%	(.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)))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 #s(literal -1 binary64) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
	72.7%	(.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)))) (fabs.f64 (cos.f64 (*.f64 y.im (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re)))))))
▶	85.9%	(.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 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	52.3%	(.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 #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)))))
	66.0%	(.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))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
	20.6%	(.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 (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))))
▶	22.1%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
	66.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
▶	64.3%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
▶	39.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	40.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	32.9%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	37.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	18.4%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.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.re))))))
	38.9%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.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)))))

Compiler

Compiled 1160 to 702 computations (39.5% saved)

localize436.0ms (2.5%)

Compiler: Compiled 568 to 111 computations (80.5% saved)
Precisions: Click to see histograms. Total time spent on operations: 241.0ms
Operation ival-mult, time spent: 59.0ms, 24.0% of total-time
Operation ival-pow, time spent: 38.0ms, 16.0% of total-time
Operation ival-log, time spent: 29.0ms, 12.0% of total-time
Operation ival-add, time spent: 25.0ms, 10.0% of total-time
Operation ival-cos, time spent: 25.0ms, 10.0% of total-time
Operation composed, time spent: 25.0ms, 10.0% of total-time
Operation ival-div, time spent: 17.0ms, 7.0% of total-time
Operation ival-exp, time spent: 6.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 2.0% of total-time
Operation const, time spent: 3.0ms, 1.0% of total-time
Operation ival-atan2, time spent: 3.0ms, 1.0% of total-time
Operation ival-sub, time spent: 2.0ms, 1.0% of total-time
Operation ival-neg, time spent: 2.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune23.0ms (0.1%)

Pruning

19 alts after pruning (14 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	5	5
Done	0	0
Total	19	19

Accuracy

99.4%

Counts

19 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))))
	37.5%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
	63.4%	(.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)))) (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) #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)))))
	50.1%	(.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)))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 #s(literal -1 binary64) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
▶	72.7%	(.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)))) (fabs.f64 (cos.f64 (*.f64 y.im (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re)))))))
✓	85.9%	(.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 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	52.3%	(.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 #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)))))
	66.0%	(.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))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
▶	20.6%	(.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 (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	22.1%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
▶	66.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
✓	64.3%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
✓	39.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	40.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	32.9%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
▶	37.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	18.4%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.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.re))))))
▶	38.9%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.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)))))

Compiler

Compiled 1022 to 616 computations (39.7% saved)

localize747.0ms (4.4%)

Compiler: Compiled 687 to 136 computations (80.2% saved)
Precisions: Click to see histograms. Total time spent on operations: 476.0ms
Operation ival-mult, time spent: 266.0ms, 56.0% of total-time
Operation composed, time spent: 34.0ms, 7.0% of total-time
Operation ival-log, time spent: 32.0ms, 7.0% of total-time
Operation ival-pow, time spent: 32.0ms, 7.0% of total-time
Operation ival-div, time spent: 31.0ms, 7.0% of total-time
Operation ival-cos, time spent: 26.0ms, 5.0% of total-time
Operation ival-add, time spent: 22.0ms, 5.0% of total-time
Operation ival-sub, time spent: 8.0ms, 2.0% of total-time
Operation ival-exp, time spent: 8.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 1.0% of total-time
Operation const, time spent: 4.0ms, 1.0% of total-time
Operation ival-atan2, time spent: 3.0ms, 1.0% of total-time
Operation ival-fabs, time spent: 2.0ms, 0.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune34.0ms (0.2%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	9	9
Picked	5	5
Done	5	5
Total	19	19

Accuracy

99.4%

Counts

19 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (pow.f64 (sqrt.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))) #s(literal 2 binary64))))
	37.5%	(.f64 (/.f64 (pow.f64 (hypot.f64 x.re x.im) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))) (cos.f64 (-.f64 (.f64 y.re (atan2.f64 x.im x.re)) (*.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im))))))
	63.4%	(.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)))) (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) #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)))))
	50.1%	(.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)))) (+.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (.f64 #s(literal -1 binary64) (.f64 y.im (.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (sin.f64 (*.f64 y.re (atan2.f64 x.im x.re))))))))
✓	72.7%	(.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)))) (fabs.f64 (cos.f64 (*.f64 y.im (fma.f64 y.re (/.f64 (atan2.f64 x.im x.re) y.im) (log.f64 (hypot.f64 x.im x.re)))))))
✓	85.9%	(.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 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
	52.3%	(.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 #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)))))
	66.0%	(.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))) (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 (atan2.f64 x.im x.re) y.re))))))
✓	20.6%	(.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 (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) y.im) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 y.im (log.f64 (/.f64 #s(literal -1 binary64) x.im)))) (*.f64 (atan2.f64 x.im x.re) y.re))))
✓	22.1%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (+.f64 x.re (/.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))))
✓	66.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
✓	64.3%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
✓	39.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	40.6%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	32.9%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
✓	37.2%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
	18.4%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.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.re))))))
✓	38.9%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.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)))))

Compiler

Compiled 1700 to 603 computations (64.5% saved)

regimes281.0ms (1.6%)

Counts

37 → 2

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

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

Calls

5 calls:

122.0ms	y.im
105.0ms	y.re
21.0ms	x.re
20.0ms	x.im
6.0ms	(.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
85.9%	1	`x.re`
85.9%	1	`x.im`
87.7%	3	`y.re`
88.1%	2	`y.im`
85.9%	1	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`

Compiler

Compiled 61 to 35 computations (42.6% saved)

regimes45.0ms (0.3%)

Counts

25 → 1

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

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

Calls

2 calls:

27.0ms	y.im
14.0ms	x.re

Results

Accuracy	Segments	Branch
85.9%	1	`x.re`
88.1%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes112.0ms (0.7%)

Counts

13 → 2

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

Outputs

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

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.im) y.re) (*.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)))))

Calls

4 calls:

45.0ms	y.re
26.0ms	y.im
22.0ms	x.re
16.0ms	x.im

Results

Accuracy	Segments	Branch
73.7%	5	`y.re`
79.7%	3	`y.im`
79.6%	2	`x.im`
79.9%	5	`x.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0.1%)

Counts

5 → 2

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))) #s(literal 1 binary64))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.re) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.re)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))

Outputs

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

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 x.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:

6.0ms	x.im
4.0ms	y.im

Results

Accuracy	Segments	Branch
64.3%	1	`y.im`
77.9%	2	`x.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Counts

3 → 4

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))) #s(literal 1 binary64))

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

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

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 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:

5.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
68.1%	2	`x.re`
72.4%	4	`x.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

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))) #s(literal 1 binary64))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))

Calls

3 calls:

2.0ms	y.re
1.0ms	x.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
64.3%	1	`x.re`
64.3%	1	`y.re`
64.3%	1	`x.im`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.5423616069197988e-286	7.214283456214725e-280

Results

3.0ms	13×	0	valid
0.0ms	1×	0	valid
0.0ms	1×	0	infinite
0.0ms	1×	1	infinite

Compiler

Compiled 105 to 58 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-mult, time spent: 1.0ms, 47.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-sqrt, time spent: 0.0ms, 0.0% of total-time

Operation ival-cos, time spent: 0.0ms, 0.0% of total-time

Operation ival-atan2, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation backward-pass, time spent: 0.0ms, 0.0% of total-time

Operation ival-log, time spent: 0.0ms, 0.0% of total-time

bsearch86.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
86.0ms	-8.463049776235283e-308	2.975272302971463e-285

Results

23.0ms	106×	0	valid
26.0ms	52×	1	infinite
4.0ms	16×	0	infinite
21.0ms	14×	5	exit
0.0ms	1×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 620 to 366 computations (41% saved)

Precisions

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

Operation ival-mult, time spent: 15.0ms, 29.0% of total-time

Operation ival-cos, time spent: 10.0ms, 19.0% of total-time

Operation ival-log, time spent: 8.0ms, 15.0% of total-time

Operation backward-pass, time spent: 6.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 6.0% of total-time

Operation ival-add, time spent: 3.0ms, 6.0% of total-time

Operation ival-atan2, time spent: 3.0ms, 6.0% of total-time

Operation ival-exp, time spent: 2.0ms, 4.0% of total-time

Operation ival-sub, time spent: 1.0ms, 2.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch92.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
92.0ms	-8.463049776235283e-308	2.975272302971463e-285

Results

26.0ms	112×	0	valid
27.0ms	47×	1	infinite
23.0ms	15×	5	exit
3.0ms	14×	0	infinite
1.0ms	2×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 565 to 344 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

Operation ival-mult, time spent: 18.0ms, 33.0% of total-time

Operation ival-cos, time spent: 11.0ms, 20.0% of total-time

Operation ival-add, time spent: 6.0ms, 11.0% of total-time

Operation ival-log, time spent: 6.0ms, 11.0% of total-time

Operation backward-pass, time spent: 5.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 5.0% of total-time

Operation ival-atan2, time spent: 3.0ms, 5.0% of total-time

Operation ival-exp, time spent: 2.0ms, 4.0% of total-time

Operation ival-sub, time spent: 2.0ms, 4.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch170.0ms (1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
53.0ms	9.745103930526399e-173	7.166911115190041e-170
60.0ms	6.848784538613462e-220	3.280244243166676e-217
57.0ms	8.516407395242296e-280	1.1313187062503827e-277

Results

51.0ms	232×	0	valid
54.0ms	108×	1	infinite
5.0ms	24×	0	infinite
38.0ms	22×	5	exit
1.0ms	3×	1	valid
1.0ms	1×	1	infinite

Compiler

Compiled 1152 to 738 computations (35.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

Operation ival-mult, time spent: 34.0ms, 35.0% of total-time

Operation ival-cos, time spent: 17.0ms, 17.0% of total-time

Operation ival-log, time spent: 11.0ms, 11.0% of total-time

Operation backward-pass, time spent: 9.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 7.0% of total-time

Operation ival-add, time spent: 6.0ms, 6.0% of total-time

Operation ival-exp, time spent: 6.0ms, 6.0% of total-time

Operation ival-atan2, time spent: 6.0ms, 6.0% of total-time

Operation ival-sub, time spent: 3.0ms, 3.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

simplify22.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
9×	`+-commutative`
8×	`sub-neg`
4×	`neg-sub0`
4×	`not-or`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1040
1	124	968
2	139	968
3	148	964
4	151	964
5	152	964

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.im #s(literal 8572068857490139/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 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))))) (.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 (.f64 y.im (log.f64 (hypot.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 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(if (<=.f64 x.im #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.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))))))
(if (<=.f64 x.im #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.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 x.im #s(literal 4151347843832217/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)) (if (<=.f64 x.im #s(literal 7630936927276445/3179557053031851899185109992371205233166102563054994659612778573877352351101699863205638981281067986842598872467724437926239395930347139873677900339284338973090723790890700606566943304973513615002138622348731328001828550356615286489088 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (if (<=.f64 x.im #s(literal 3480865949723965/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))))))
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) #s(literal 1 binary64))

Outputs
(if (<=.f64 y.im #s(literal 8572068857490139/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 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))))) (.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 (.f64 y.im (log.f64 (hypot.f64 x.im x.re))))))
(if (<=.f64 y.im #s(literal 8572068857490139/42860344287450692837937001962400072422456192468221344297750015534814042044997444899727935152627834325103786916702125873007485811427692561743938310298794299215738271099296923941684298420249484567511816728612185899934327765069595070236662175784308251658284785910746168670641719326610497547348822672277504 binary64)) (.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (cos.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.im (.f64 y.re (atan2.f64 x.im x.re))))) (.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (cos.f64 (.f64 y.im (log.f64 (hypot.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 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(.f64 (exp.f64 (fma.f64 (log.f64 (hypot.f64 x.re x.im)) y.re (.f64 y.im (neg.f64 (atan2.f64 x.im x.re))))) (cos.f64 (*.f64 y.im (log.f64 (hypot.f64 x.im x.re)))))
(if (<=.f64 x.im #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.im) y.re) (.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))))))
(if (<=.f64 x.im #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (+.f64 (.f64 y.re (atan2.f64 x.im x.re)) (.f64 y.im (log.f64 x.im)))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (*.f64 y.im (atan2.f64 x.im x.re))))))
(if (<=.f64 x.im #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 (neg.f64 x.im)) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (exp.f64 (-.f64 (.f64 (log.f64 x.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 x.im #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (exp.f64 (-.f64 (.f64 y.re (log.f64 (neg.f64 x.im))) (.f64 y.im (atan2.f64 x.im x.re)))) (cos.f64 (.f64 y.re (atan2.f64 x.im x.re)))) (.f64 (cos.f64 (.f64 y.re (atan2.f64 x.im x.re))) (exp.f64 (-.f64 (.f64 y.re (log.f64 x.im)) (.f64 y.im (atan2.f64 x.im x.re))))))
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Compiler

Compiled 250 to 131 computations (47.6% saved)

soundness1.1s (6.5%)

Rules

720×	`associate-r`
697×	`fma-neg`
562×	`associate-l`
507×	`*-commutative`
484×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	1007	55749
1	2882	54950
0	1684	73531
1	4801	71575
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
1×	node limit
1×	node limit

Compiler

Compiled 664 to 194 computations (70.8% saved)

end0.0ms (0%)

preprocess85.0ms (0.5%)

Compiler: Compiled 542 to 166 computations (69.4% saved)

analyze458.0ms (2.7%)

sample5.0s (29.2%)

preprocess706.0ms (4.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize980.0ms (5.7%)

series243.0ms (1.4%)

rewrite462.0ms (2.7%)

simplify588.0ms (3.4%)

eval390.0ms (2.3%)

prune230.0ms (1.3%)

localize1.3s (7.5%)

series353.0ms (2.1%)

rewrite234.0ms (1.4%)

simplify552.0ms (3.2%)

eval1.4s (8.4%)

prune937.0ms (5.5%)

localize436.0ms (2.5%)

eval0.0ms (0%)

prune23.0ms (0.1%)

localize747.0ms (4.4%)

eval0.0ms (0%)

prune34.0ms (0.2%)

regimes281.0ms (1.6%)

regimes45.0ms (0.3%)

regimes112.0ms (0.7%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

bsearch5.0ms (0%)

bsearch86.0ms (0.5%)

bsearch92.0ms (0.5%)

bsearch170.0ms (1%)

simplify22.0ms (0.1%)

soundness1.1s (6.5%)

end0.0ms (0%)

preprocess85.0ms (0.5%)

Profiling