Metrics for math.cube on complex, imaginary part

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.2s (13.5%)

Results

962.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 725.0ms

ival-mult: 589.0ms (81.2% of total)

ival-add: 79.0ms (10.9% of total)

ival-sub: 49.0ms (6.8% of total)

const: 7.0ms (1% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess126.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

914×	`unsub-neg`
606×	`fma-define`
419×	`sub-neg`
392×	`distribute-lft-out`
383×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	563
1	136	491
2	368	483
3	1517	309
4	4607	301
5	6832	301
6	7668	301

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) (neg.f64 x.re)))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) x.re))
(neg.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) (neg.f64 x.re))))
(neg.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) x.re)))
(+.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.re x.im)) x.im))

Outputs
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 #s(literal 2 binary64) (.f64 x.re x.im)) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 #s(literal 2 binary64) (.f64 x.re x.im)) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) (neg.f64 x.re)))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 #s(literal 2 binary64) (.f64 x.re x.im)) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) x.re))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 x.im) (.f64 x.re (fma.f64 x.re (neg.f64 x.im) (.f64 x.re (neg.f64 x.im)))))
(fma.f64 x.re (.f64 #s(literal 2 binary64) (.f64 x.re (neg.f64 x.im))) (.f64 x.im (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(fma.f64 x.im (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal -2 binary64))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.re (neg.f64 x.im))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(neg.f64 (+.f64 (.f64 (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 (neg.f64 x.re) x.im) (.f64 x.im (neg.f64 x.re))) (neg.f64 x.re))))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 x.im) (.f64 x.re (fma.f64 x.re (neg.f64 x.im) (.f64 x.re (neg.f64 x.im)))))
(fma.f64 x.re (.f64 #s(literal 2 binary64) (.f64 x.re (neg.f64 x.im))) (.f64 x.im (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re))))
(fma.f64 x.im (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal -2 binary64))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.re (neg.f64 x.im))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))))
(neg.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 (neg.f64 x.im) (neg.f64 x.im))) (neg.f64 x.im)) (.f64 (+.f64 (.f64 x.re (neg.f64 x.im)) (.f64 (neg.f64 x.im) x.re)) x.re)))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 #s(literal 2 binary64) (.f64 x.re x.im)) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.re x.im)) x.im))
(fma.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re (.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (*.f64 #s(literal 2 binary64) x.re)))
(-.f64 (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))

Symmetry

(abs x.re)

(negabs x.im)

explain108.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
24	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
16	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`x.im`
0	-	-	`x.re`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.im)`

Results

57.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 24.0ms (75.2% of total)

ival-add: 5.0ms (15.7% of total)

ival-sub: 3.0ms (9.4% of total)

const: 1.0ms (3.1% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 73 to 25 computations (65.8% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.9%	(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
▶	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
▶	86.1%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	78.6%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 65 to 37 computations (43.1% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(*.f64 x.im #s(literal 2 binary64))
✓	cost-diff	0	(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
✓	cost-diff	320	(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(.f64 x.re (.f64 x.re x.im))
✓	cost-diff	0	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
✓	cost-diff	0	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)

Rules

849×	`fma-neg`
645×	`sub-neg`
427×	`associate-+l-`
348×	`unsub-neg`
339×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	803
1	72	747
2	138	729
3	265	637
4	612	637
5	1686	637
6	2877	637
7	6496	637

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
x.re
(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
x.im
(*.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
(.f64 x.re (.f64 x.re x.im))
x.re
(*.f64 x.re x.im)
x.im
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
x.re
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)

Outputs
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x.re x.re) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (.f64 (.f64 x.re x.re) x.im) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im)))
(.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x.re x.re) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
x.re
(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (.f64 #s(literal 3 binary64) x.im))
(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
x.im
(*.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x.re x.re) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
(.f64 x.re (.f64 x.re x.im))
(.f64 (.f64 x.re x.re) x.im)
x.re
(*.f64 x.re x.im)
x.im
#s(literal 3 binary64)
(pow.f64 x.im #s(literal 3 binary64))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x.re x.re) x.im) (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
x.re
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (.f64 (.f64 x.re x.re) x.im) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)

localize258.0ms (2.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal 2 binary64))
✓	accuracy	94.3%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.9%	(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
✓	accuracy	90.7%	(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re x.im))
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	accuracy	87.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x.re #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
✓	accuracy	99.7%	(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	87.2%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	94.3%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	90.7%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	90.5%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

70.0ms

256×

valid

Compiler

Compiled 181 to 26 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 25.0ms (64.3% of total)

ival-pow: 5.0ms (12.9% of total)

ival-sub: 4.0ms (10.3% of total)

ival-fma: 3.0ms (7.7% of total)

ival-add: 2.0ms (5.1% of total)

const: 1.0ms (2.6% of total)

backward-pass: 0.0ms (0% of total)

series45.0ms (0.5%)

Counts

18 → 396

Calls

Call 1

Inputs
#<alt (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)>
#<alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))>
#<alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))>
#<alt (*.f64 x.re x.re)>
#<alt (-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))>
#<alt (.f64 x.im (.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re #s(literal 3 binary64))>
#<alt (-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))>
#<alt (.f64 x.re (.f64 x.re x.im))>
#<alt (*.f64 x.re x.im)>
#<alt (fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))>
#<alt (.f64 x.re (.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 x.im #s(literal 2 binary64))>
#<alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))>
#<alt (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)>
#<alt (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))>

Outputs
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im x.re))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
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#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>

Calls

99 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	inf	(* x.re (* x.im (* x.re 3)))
1.0ms	x.im	@	-inf	(* x.im (* x.re 3))
1.0ms	x.im	@	0	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms	x.re	@	-inf	(+ (* x.re x.im) (* x.im x.re))
1.0ms	x.re	@	0	(* (+ (* x.re x.im) (* x.im x.re)) x.re)

rewrite361.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`log1p-expm1-u`
251×	`associate-r`
209×	`expm1-log1p-u`
203×	`add-exp-log`
202×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	520
1	560	436
2	6640	436

Stop Event

1×	node limit

Counts

18 → 493

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 3 binary64))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
(.f64 x.re (.f64 x.re x.im))
(*.f64 x.re x.im)
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im #s(literal 2 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))

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

simplify153.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

130×	`*-commutative`
58×	`+-commutative`
37×	`sub-neg`
36×	`fma-undefine`
33×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	763	7375
1	2495	7375

Stop Event

1×

unsound

Counts

889 → 436

Calls

Call 1

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

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

eval105.0ms (1.1%)

Compiler: Compiled 11095 to 1701 computations (84.7% saved)

prune160.0ms (1.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	524	11	535
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	526	13	539

Accuracy

100.0%

Counts

539 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
✓	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.1%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
	86.2%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
	78.5%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 (*.f64 x.im #s(literal 2 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re)) x.re))
	78.6%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
▶	49.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
▶	81.3%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	50.3%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
▶	50.3%	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
	55.2%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
	2.9%	#s(literal 10 binary64)
▶	2.9%	#s(literal 1/10 binary64)

Compiler

Compiled 296 to 186 computations (37.2% saved)

simplify1.2s (13.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x.re #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(-.f64 x.re x.im)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	-12672	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
	cost-diff	-6336	(*.f64 x.re x.re)
	cost-diff	-6336	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(pow.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))

Rules

825×	`fma-define`
591×	`associate-+l-`
572×	`unsub-neg`
424×	`distribute-lft-out`
394×	`fma-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	537
1	81	515
2	169	506
3	400	505
4	1124	503
5	3218	503
6	7420	503

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
x.re
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
#s(literal 1/10 binary64)
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
#s(literal 3 binary64)
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
x.im
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)

Outputs
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
x.re
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
#s(literal 1/10 binary64)
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)) x.im #s(literal -3 binary64))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im)) #s(literal -3 binary64))
(fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal -3 binary64)))
(-.f64 (fma.f64 x.im (pow.f64 x.re #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.im)))
(-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
(.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.im)))
(-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im)))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))
(.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
x.im
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)

localize122.0ms (1.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.re #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
✓	accuracy	86.3%	(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	90.7%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
✓	accuracy	90.5%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	94.3%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	90.7%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	100.0%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
✓	accuracy	89.3%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Results

85.0ms

256×

valid

Compiler

Compiled 153 to 29 computations (81% saved)

Precisions

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

ival-mult: 25.0ms (45.5% of total)

ival-pow: 10.0ms (18.2% of total)

ival-fma: 7.0ms (12.7% of total)

ival-add: 5.0ms (9.1% of total)

...c/correct-round.rkt:121:19: 4.0ms (7.3% of total)

ival-sub: 2.0ms (3.6% of total)

const: 1.0ms (1.8% of total)

ival-neg: 1.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts

13 → 177

Calls

Call 1

Inputs
#<alt (.f64 x.re (.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 x.im #s(literal 3 binary64))>
#<alt (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (pow.f64 x.im #s(literal 3 binary64))>
#<alt (*.f64 x.im x.im)>
#<alt (-.f64 x.re x.im)>
#<alt (+.f64 x.re x.im)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))>
#<alt (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))>
#<alt (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)>

Outputs
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal 3 binary64) x.im)>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt x.re>
#<alt (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))>
#<alt (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))>
#<alt (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))>
#<alt x.re>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))>
#<alt x.re>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))>
#<alt x.im>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.im x.re)>
#<alt x.re>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt x.re>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))>
#<alt x.re>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.im x.re)>
#<alt x.im>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt x.im>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.im (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) (.f64 x.re (+.f64 x.im (.f64 #s(literal 2 binary64) x.im))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) (.f64 x.re (+.f64 x.im (.f64 #s(literal 2 binary64) x.im))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (.f64 x.im (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 (.f64 x.im (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))) x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))) x.im))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.im (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im (+.f64 x.im (.f64 #s(literal -1 binary64) x.im))) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) x.re)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 x.im (+.f64 (.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 x.im (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 x.im (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)) x.im)))))>

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	-inf	(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.im	@	inf	(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.re	@	0	(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.re	@	inf	(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.im	@	0	(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite228.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1007×	`log1p-expm1-u`
231×	`associate-r`
198×	`expm1-log1p-u`
194×	`add-cube-cbrt`
192×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	307
1	472	263
2	6483	263

Stop Event

1×	node limit

Counts

13 → 330

Calls

Call 1

Inputs
(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im #s(literal 3 binary64))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
(*.f64 x.im x.im)
(-.f64 x.re x.im)
(+.f64 x.re x.im)
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 x.im #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x.im (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.im)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.im))
(*.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.im))
(.f64 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im)
(*.f64 (pow.f64 (sqrt.f64 x.im) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x.im) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.im)
(.f64 (.f64 x.im (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x.im #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x.im)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x.im (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.im)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.im))
(*.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.im))
(.f64 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im)
(*.f64 (pow.f64 (sqrt.f64 x.im) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x.im) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.im)
(.f64 (.f64 x.im (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x.im #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x.im)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(+.f64 x.re (neg.f64 x.im))
(+.f64 x.re (*.f64 (neg.f64 x.im) #s(literal 1 binary64)))
(+.f64 (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) #s(literal 1 binary64) x.im))
(+.f64 (-.f64 x.re x.im) (fma.f64 (neg.f64 (cbrt.f64 x.im)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.im))
(+.f64 (-.f64 x.re x.im) (fma.f64 (neg.f64 (sqrt.f64 x.im)) (sqrt.f64 x.im) x.im))
(+.f64 (neg.f64 x.im) x.re)
(*.f64 (-.f64 x.re x.im) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)))
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(-.f64 (/.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(.f64 (+.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
(.f64 (-.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))) (+.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (neg.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re x.im))) (.f64 x.im (.f64 x.im (-.f64 x.re x.im))))
(+.f64 (.f64 (.f64 x.re (-.f64 x.re x.im)) x.im) (.f64 (.f64 x.im (-.f64 x.re x.im)) x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (+.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (+.f64 x.re x.im))) (+.f64 x.re x.im))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify242.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

144×	`*-commutative`
79×	`+-commutative`
41×	`sub-neg`
32×	`distribute-rgt-in`
32×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	726	13567
1	2029	13567

Stop Event

1×

unsound

Counts

507 → 446

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal 3 binary64) x.im)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
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(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re x.im))) (.f64 x.im (.f64 x.im (-.f64 x.re x.im))))
(+.f64 (.f64 (.f64 x.re (-.f64 x.re x.im)) x.im) (.f64 (.f64 x.im (-.f64 x.re x.im)) x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (+.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (+.f64 x.re x.im))) (+.f64 x.re x.im))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
x.re
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(-.f64 x.re x.im)
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(-.f64 x.re x.im)
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(-.f64 x.re x.im)
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
x.im
(+.f64 x.im x.re)
(+.f64 x.im x.re)
(+.f64 x.im x.re)
x.re
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
x.re
(+.f64 x.im x.re)
(+.f64 x.im x.re)
(+.f64 x.im x.re)
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
x.im
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (cbrt.f64 #s(literal 27 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (cbrt.f64 #s(literal 27 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (cbrt.f64 #s(literal 27 binary64)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 #s(literal 27 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 #s(literal 27 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 #s(literal 27 binary64))))
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(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(log.f64 (pow.f64 (exp.f64 (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))

eval112.0ms (1.2%)

Compiler: Compiled 13237 to 2414 computations (81.8% saved)

prune197.0ms (2.1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	676	5	681
Fresh	1	5	6
Picked	3	2	5
Done	0	2	2
Total	680	14	694

Accuracy

100.0%

Counts

694 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	37.3%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
✓	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.1%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	86.2%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
▶	78.6%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
✓	49.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
	66.8%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	18.5%	(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
	50.3%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
	59.2%	(.f64 #s(literal 3 binary64) (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)))
	50.3%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
	55.2%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
▶	2.9%	#s(literal 10 binary64)
✓	2.9%	#s(literal 1/10 binary64)

Compiler

Compiled 264 to 173 computations (34.5% saved)

simplify205.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
	cost-diff	0	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	-6272	(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
✓	cost-diff	0	(neg.f64 x.im)
✓	cost-diff	0	(*.f64 x.re (neg.f64 x.im))
✓	cost-diff	0	(.f64 x.im (.f64 x.re (neg.f64 x.im)))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
✓	cost-diff	0	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
✓	cost-diff	0	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))

Rules

697×	`unsub-neg`
512×	`sub-neg`
491×	`distribute-lft-neg-in`
399×	`fma-define`
357×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	493
1	77	489
2	164	486
3	326	486
4	681	486
5	1689	486
6	2977	486
7	4842	486
8	6591	486
9	7069	486
10	7178	486
11	7198	486
12	7201	486
13	7201	486

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
x.re
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
#s(literal 3 binary64)
(*.f64 x.im x.re)
x.im
(pow.f64 x.im #s(literal 3 binary64))
#s(literal 10 binary64)
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
#s(literal -1 binary64)
(.f64 x.im (.f64 x.re (neg.f64 x.im)))
x.im
(*.f64 x.re (neg.f64 x.im))
x.re
(neg.f64 x.im)
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
x.re
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
#s(literal -1 binary64)

Outputs
(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
x.re
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(.f64 x.re (.f64 #s(literal 3 binary64) x.im))
(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
#s(literal 3 binary64)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
x.im
(pow.f64 x.im #s(literal 3 binary64))
#s(literal 10 binary64)
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
(fma.f64 x.im (*.f64 x.re (neg.f64 x.im)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (.f64 x.re (.f64 x.im x.im)))
(neg.f64 (fma.f64 x.re (*.f64 x.im x.im) #s(literal 1 binary64)))
#s(literal -1 binary64)
(.f64 x.im (.f64 x.re (neg.f64 x.im)))
(.f64 x.re (.f64 x.im (neg.f64 x.im)))
(.f64 x.re (neg.f64 (.f64 x.im x.im)))
x.im
(*.f64 x.re (neg.f64 x.im))
(*.f64 x.im (neg.f64 x.re))
x.re
(neg.f64 x.im)
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(-.f64 (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (.f64 x.im (.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.re x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(fma.f64 x.re x.re (neg.f64 (*.f64 x.im x.im)))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
(fma.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) x.re #s(literal -1 binary64))
(fma.f64 (.f64 x.re #s(literal 3 binary64)) (.f64 x.re x.im) #s(literal -1 binary64))
(fma.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re)) #s(literal -1 binary64))
(fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) #s(literal -1 binary64))
(fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) #s(literal -1 binary64))
(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
(.f64 x.re (.f64 #s(literal 3 binary64) x.im))
(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
x.re
(*.f64 x.im #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x.im)
x.im
#s(literal 3 binary64)
#s(literal -1 binary64)

localize253.0ms (2.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
	accuracy	99.7%	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	accuracy	94.3%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	90.7%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	90.5%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
✓	accuracy	100.0%	(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
✓	accuracy	100.0%	(*.f64 x.re (neg.f64 x.im))
✓	accuracy	100.0%	(neg.f64 x.im)
✓	accuracy	99.8%	(.f64 x.im (.f64 x.re (neg.f64 x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.8%	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
✓	accuracy	99.6%	(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
✓	accuracy	87.2%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))

Results

215.0ms

256×

valid

Compiler

Compiled 136 to 27 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 164.0ms (90.4% of total)

ival-sub: 6.0ms (3.3% of total)

ival-pow: 5.0ms (2.8% of total)

ival-fma: 3.0ms (1.7% of total)

ival-add: 2.0ms (1.1% of total)

const: 1.0ms (0.6% of total)

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

backward-pass: 0.0ms (0% of total)

series26.0ms (0.3%)

Counts

12 → 228

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
#<alt (*.f64 x.im x.re)>
#<alt (.f64 x.im (.f64 x.re (neg.f64 x.im)))>
#<alt (*.f64 x.re (neg.f64 x.im))>
#<alt (neg.f64 x.im)>
#<alt (+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))>
#<alt (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)>
#<alt (.f64 (.f64 x.re x.im) #s(literal 2 binary64))>
#<alt (fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))>
#<alt (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))>
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#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.im))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))))>

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	inf	(- (* x.re (* 3 (* x.im x.re))) (pow x.im 3))
2.0ms	x.re	@	-inf	(* (* x.re x.im) 2)
1.0ms	x.re	@	0	(* x.im (* x.re (neg x.im)))
1.0ms	x.re	@	inf	(* x.im (* x.re (neg x.im)))
0.0ms	x.im	@	inf	(* x.im (* x.re (neg x.im)))

rewrite296.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log1p-expm1-u`
273×	`associate-r`
219×	`expm1-log1p-u`
213×	`add-cube-cbrt`
212×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	322
1	527	284
2	7116	284

Stop Event

1×	node limit

Counts

12 → 283

Calls

Call 1

Inputs
(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.im x.re)
(.f64 x.im (.f64 x.re (neg.f64 x.im)))
(*.f64 x.re (neg.f64 x.im))
(neg.f64 x.im)
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))

Outputs
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.im (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(.f64 (fma.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))))
(.f64 (cbrt.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (-.f64 (pow.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (+.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))))
(pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) x.re (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))) (sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (.f64 x.re #s(literal 3 binary64)) (.f64 x.re x.im) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) #s(literal 1 binary64))
(pow.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) x.im) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))))
(cbrt.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x.im) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im))))
(log1p.f64 (expm1.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im))))
(exp.f64 (log.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.re x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.re x.im))
(sqrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re x.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re x.im)))
(exp.f64 (log.f64 (*.f64 x.re x.im)))
(exp.f64 (.f64 (log.f64 (.f64 x.re x.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
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(.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))))
(.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))))))
(.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (sqrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))) (-.f64 (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (sqrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))))) (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) x.im) (exp.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (.f64 x.re x.im) (.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 2 binary64))) x.re (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)) x.im (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))

simplify493.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-neg`
367×	`associate-r`
324×	`associate-l`
288×	`exp-prod`
278×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	605	16941
1	1274	16452
2	4855	16436

Stop Event

1×	node limit

Counts

511 → 404

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im #s(literal 3 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64))))
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(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal -2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal -2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))
(fma.f64 (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (.f64 (sqrt.f64 x.im) (+.f64 x.re x.im)) (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im (pow.f64 (+.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 x.im (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64))))

eval75.0ms (0.8%)

Compiler: Compiled 10373 to 1785 computations (82.8% saved)

prune110.0ms (1.2%)

Pruning

16 alts after pruning (7 fresh and 9 done)

	Pruned	Kept	Total
New	563	4	567
Fresh	2	3	5
Picked	0	5	5
Done	0	4	4
Total	565	16	581

Accuracy

100.0%

Counts

581 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.3%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
	37.4%	(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64))
✓	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.1%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.2%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
✓	78.6%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
✓	49.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
▶	66.8%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	18.5%	(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
▶	50.3%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
	59.2%	(.f64 #s(literal 3 binary64) (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)))
▶	50.3%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
▶	55.2%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	2.9%	#s(literal 10 binary64)
✓	2.9%	#s(literal 1/10 binary64)
▶	2.6%	#s(literal -1 binary64)

Compiler

Compiled 229 to 155 computations (32.3% saved)

simplify289.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
	cost-diff	0	(pow.f64 x.re #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
	cost-diff	0	(pow.f64 x.im #s(literal 3 binary64))
	cost-diff	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
	cost-diff	-6336	(*.f64 x.re x.re)
✓	cost-diff	-6336	(.f64 x.im (.f64 x.re x.re))
✓	cost-diff	-6336	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
✓	cost-diff	0	(*.f64 (-.f64 x.re x.im) x.im)
✓	cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	384	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Rules

710×	`fma-define`
687×	`fma-neg`
568×	`unsub-neg`
447×	`sub-neg`
356×	`associate-+r+`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	27	379
1	55	355
2	101	349
3	171	344
4	339	340
5	715	340
6	1586	340
7	2849	340
8	4314	338
9	4921	338
10	5520	338
11	6008	338
12	6177	338
13	6768	338
14	7219	338
15	7305	338
16	7639	338
17	7942	338
18	7988	338

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
x.re
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(literal -1 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
#s(literal 3 binary64)
(.f64 x.im (.f64 x.re x.re))
x.im
(*.f64 x.re x.re)
x.re
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)

Outputs
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (.f64 x.im (-.f64 x.re x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 (-.f64 x.re x.im) (.f64 x.im x.im) (.f64 x.re (.f64 #s(literal 2 binary64) (.f64 x.re x.im))))
(fma.f64 x.im (.f64 x.im (-.f64 x.re x.im)) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 x.im (+.f64 (.f64 x.im (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 x.im (fma.f64 x.im (-.f64 x.re x.im) (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (.f64 x.re (.f64 x.im (fma.f64 x.re #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 (*.f64 x.re #s(literal 2 binary64)) x.im)))
(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
(.f64 x.im (.f64 x.im (-.f64 x.re x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 x.im (-.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im)))
(.f64 x.re (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))
(.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(.f64 x.re (.f64 #s(literal 2 binary64) x.im))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(literal -1 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
#s(literal 3 binary64)
(.f64 x.im (.f64 x.re x.re))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
x.im
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)

localize134.0ms (1.4%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x.re #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	86.2%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
	accuracy	100.0%	(pow.f64 x.im #s(literal 3 binary64))
	accuracy	100.0%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
✓	accuracy	86.3%	(.f64 x.im (.f64 x.re x.re))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	99.8%	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	90.6%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Results

110.0ms

256×

valid

Compiler

Compiled 104 to 22 computations (78.8% saved)

Precisions

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

ival-mult: 23.0ms (63.2% of total)

ival-pow: 7.0ms (19.2% of total)

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

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

const: 1.0ms (2.7% of total)

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

backward-pass: 0.0ms (0% of total)

series11.0ms (0.1%)

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))>
#<alt (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)>
#<alt (*.f64 (-.f64 x.re x.im) x.im)>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))>
#<alt (.f64 x.im (.f64 x.re x.re))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (.f64 #s(literal 2 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (.f64 #s(literal 2 binary64) x.im)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im x.re)))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 x.re x.im)) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 x.re x.im)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re))>
#<alt (*.f64 x.im x.re)>
#<alt (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 x.im x.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 x.im x.re)>
#<alt (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))>
#<alt (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))>
#<alt (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	-inf	(+ (* (* (- x.re x.im) x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.re	@	0	(+ (* (* (- x.re x.im) x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.re	@	-inf	(* (- x.re x.im) x.im)
0.0ms	x.im	@	-inf	(* (- x.re x.im) x.im)
0.0ms	x.re	@	inf	(+ (* (* (- x.re x.im) x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite150.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`log1p-expm1-u`
904×	`expm1-log1p-u`
738×	`fma-define`
348×	`fma-neg`
167×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	190
1	360	164
2	4443	164

Stop Event

1×	node limit

Counts

6 → 173

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
(*.f64 (-.f64 x.re x.im) x.im)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 x.im (.f64 x.re x.re))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 x.re x.im) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (neg.f64 (-.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
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(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x.im) (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 x.im)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 x.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

86×	`*-commutative`
66×	`fma-undefine`
25×	`+-commutative`
18×	`unpow2`
17×	`cube-mult`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	399	12029
1	1030	12029

Stop Event

1×

unsound

Counts

317 → 266

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (.f64 #s(literal 2 binary64) x.im)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (.f64 #s(literal 2 binary64) x.im)))
(.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im x.re)))
(.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))))
(.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im x.re))
(*.f64 x.im x.re)
(.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 x.im x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 x.im x.re)
(.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))
(.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))
(.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 x.re x.im) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
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(fma.f64 x.im x.re (*.f64 x.im (neg.f64 x.im)))
(fma.f64 (.f64 x.re x.im) #s(literal 1 binary64) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (.f64 x.re x.im) #s(literal 1 binary64) (.f64 x.im (neg.f64 x.im)))
(fma.f64 #s(literal 1 binary64) (.f64 x.re x.im) (.f64 (neg.f64 x.im) x.im))
(fma.f64 #s(literal 1 binary64) (.f64 x.re x.im) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) x.im) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) x.im) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (cbrt.f64 (.f64 x.re x.im)) (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (cbrt.f64 (.f64 x.re x.im)) (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 x.im (neg.f64 x.im)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re x.im)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re x.im)) (*.f64 x.im (neg.f64 x.im)))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) x.re) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (.f64 x.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (.f64 x.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im)) (*.f64 x.im (neg.f64 x.im)))
(fma.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) x.im) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) x.im) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (sqrt.f64 x.im) (.f64 x.re (sqrt.f64 x.im)) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (sqrt.f64 x.im) (.f64 x.re (sqrt.f64 x.im)) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (.f64 x.im (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (.f64 x.im (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 x.im (neg.f64 x.im)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x.im) (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 x.im)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 x.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re (fma.f64 #s(literal 2 binary64) (.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.re (+.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.re (fma.f64 #s(literal 2 binary64) (.f64 x.im x.re) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) x.im (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (.f64 #s(literal 2 binary64) x.im)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re) (.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (.f64 #s(literal 2 binary64) x.im)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re) (.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im x.re)))
(.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.re)))
(.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))))
(.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im (-.f64 x.re x.im))))
(.f64 x.im (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im)))))
(.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im (-.f64 x.re x.im))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64)))
(.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 x.re x.im)) #s(literal -1 binary64)))
(.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 x.re x.im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 x.re x.im)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x.re x.im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im)))))
(.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x.re (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im)))))
(.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x.re (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im))) x.im))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64))))
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(fma.f64 (sqrt.f64 x.re) (*.f64 x.im (sqrt.f64 x.re)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x.im) (.f64 x.re (sqrt.f64 x.im)) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (sqrt.f64 x.im) (*.f64 x.re (sqrt.f64 x.im)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x.im) (.f64 x.re (sqrt.f64 x.im)) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (sqrt.f64 x.im) (*.f64 x.re (sqrt.f64 x.im)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (*.f64 x.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (*.f64 x.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (.f64 x.im (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (.f64 x.im (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 (neg.f64 x.im) x.im))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 x.re) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 x.re) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 27 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 27 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (*.f64 x.im #s(literal 3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x.im) (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 x.im)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 x.im)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 x.im)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 27 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 27 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x.re) (log.f64 (*.f64 x.im #s(literal 3 binary64)))))

eval54.0ms (0.6%)

Compiler: Compiled 7946 to 1362 computations (82.9% saved)

prune177.0ms (1.9%)

Pruning

17 alts after pruning (6 fresh and 11 done)

	Pruned	Kept	Total
New	477	4	481
Fresh	0	2	2
Picked	2	3	5
Done	1	8	9
Total	480	17	497

Accuracy

100.0%

Counts

497 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	37.3%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
	37.4%	(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64))
✓	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.1%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	78.6%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
✓	49.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
	66.8%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	43.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
✓	18.5%	(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
	50.3%	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
	50.3%	(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
	59.2%	(.f64 #s(literal 3 binary64) (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)))
✓	50.3%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
✓	55.2%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	2.9%	#s(literal 10 binary64)
✓	2.9%	#s(literal 1/10 binary64)
✓	2.6%	#s(literal -1 binary64)

Compiler

Compiled 446 to 192 computations (57% saved)

regimes58.0ms (0.6%)

Counts

28 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(.f64 #s(literal 3 binary64) (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 (*.f64 x.im #s(literal 2 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re)) x.re))

Outputs
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))

Calls

3 calls:

40.0ms	x.re
8.0ms	x.im
7.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
92.8%	2	`x.re`
99.8%	2	`x.im`
98.3%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes8.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))

Outputs
(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))

Calls

1 calls:

7.0ms

x.im

Results

Accuracy	Segments	Branch
99.8%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))

Outputs

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))

(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re #s(literal -1 binary64))

(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))

Calls

2 calls:

6.0ms	x.im
5.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.7%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
90.7%	2	`x.im`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes121.0ms (1.3%)

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))

Outputs

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))

(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))

Calls

3 calls:

109.0ms	x.re
6.0ms	x.im
5.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
90.7%	2	`x.im`
81.3%	1	`x.re`
90.7%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes5.0ms (0%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Outputs

(*.f64 #s(literal 3 binary64) (*.f64 x.im (*.f64 x.re x.re)))

(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))

(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))

Calls

1 calls:

4.0ms

x.im

Results

Accuracy	Segments	Branch
85.8%	3	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))

Outputs
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))

Calls

2 calls:

3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
55.8%	2	`x.re`
82.8%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))

Outputs
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(+.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.re (neg.f64 x.im))))

Calls

1 calls:

3.0ms

x.im

Results

Accuracy	Segments	Branch
63.6%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes106.0ms (1.1%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))

Outputs
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))

Calls

2 calls:

103.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
50.3%	1	`x.re`
50.3%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)

Outputs
#s(literal 1/10 binary64)

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
2.9%	1	`x.re`
2.9%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	x.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
2.6%	1	`x.im`
2.6%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	6.63139772931143e+88	9.703547646118176e+88

Results

3.0ms

32×

valid

Compiler

Compiled 78 to 49 computations (37.2% saved)

Precisions

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

ival-mult: 1.0ms (54.1% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	6.63139772931143e+88	9.703547646118176e+88

Results

1.0ms

16×

valid

Compiler

Compiled 52 to 32 computations (38.5% saved)

Precisions

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

ival-mult: 1.0ms (111.8% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	1.7354733487944211e+307	+inf

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch146.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
129.0ms	2.1784397406037733e+77	1.8907381667824632e+79
15.0ms	5.41370534652287e-30	4.575938485596158e-26

Results

136.0ms

240×

valid

Compiler

Compiled 460 to 292 computations (36.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-add: 118.0ms (91.5% of total)

ival-mult: 10.0ms (7.8% of total)

ival-sub: 1.0ms (0.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1854933776.3451579	6630196762.04041

Results

7.0ms

80×

valid

Compiler

Compiled 136 to 90 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (67.5% of total)

ival-add: 1.0ms (22.5% of total)

ival-sub: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	2.640802965906645e+135	4.224792296861815e+138

Results

11.0ms

128×

valid

Compiler

Compiled 194 to 135 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (69.1% of total)

ival-sub: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
16×	`+-commutative`
10×	`sub-neg`
7×	`neg-sub0`
7×	`neg-mul-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	1045
1	107	1045
2	127	1041
3	144	1041
4	151	1041
5	153	1041

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 89999999999999998114352265849916975417577148811279145397760407758222311187192099589062656 binary64)) (-.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 79999999999999996753337956508029018519359687171876115173579120784536313836076354041282560 binary64)) (-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 7849862309882779/1427247692705959881058285969449495136382746624 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 1950000000000000191397421011073062782455771999686074355410933973838314447306752 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 3100000000 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 6200000000000000441184676217066131938064041735706684950509276183092794623193146374112389382441299864567859431435479592690712463424880640 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (+.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (neg.f64 x.im)))))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
#s(literal 1/10 binary64)
#s(literal -1 binary64)

Outputs
(if (<=.f64 x.im #s(literal 89999999999999998114352265849916975417577148811279145397760407758222311187192099589062656 binary64)) (-.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 89999999999999998114352265849916975417577148811279145397760407758222311187192099589062656 binary64)) (-.f64 (.f64 (.f64 x.re (.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 79999999999999996753337956508029018519359687171876115173579120784536313836076354041282560 binary64)) (-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 79999999999999996753337956508029018519359687171876115173579120784536313836076354041282560 binary64)) (-.f64 (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64)))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 (.f64 x.im x.re) #s(literal 3 binary64)) x.re #s(literal -1 binary64)) (+.f64 (.f64 x.im (.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64))))
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(if (<=.f64 x.im #s(literal 3100000000 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (+.f64 (.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 6200000000000000441184676217066131938064041735706684950509276183092794623193146374112389382441299864567859431435479592690712463424880640 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (+.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (neg.f64 x.im)))))
(if (<=.f64 x.im #s(literal 6200000000000000441184676217066131938064041735706684950509276183092794623193146374112389382441299864567859431435479592690712463424880640 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (-.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.im x.re))))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
#s(literal 1/10 binary64)
#s(literal -1 binary64)

soundness1.4s (14.9%)

Rules

1007×	`log1p-expm1-u`
914×	`unsub-neg`
910×	`log1p-expm1-u`
606×	`fma-define`
419×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	307
1	472	263
2	6483	263
0	726	13567
1	2029	13567
0	763	7375
1	2495	7375
0	31	520
1	560	436
2	6640	436
0	42	563
1	136	491
2	368	483
3	1517	309
4	4607	301
5	6832	301
6	7668	301

Stop Event

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

Compiler

Compiled 889 to 184 computations (79.3% saved)

preprocess186.0ms (2%)

Compiler: Compiled 812 to 292 computations (64% saved)

analyze0.0ms (0%)

sample1.2s (13.5%)

preprocess126.0ms (1.4%)

explain108.0ms (1.2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify87.0ms (0.9%)

localize258.0ms (2.8%)

series45.0ms (0.5%)

rewrite361.0ms (3.9%)

simplify153.0ms (1.7%)

eval105.0ms (1.1%)

prune160.0ms (1.7%)

simplify1.2s (13.1%)

localize122.0ms (1.3%)

series19.0ms (0.2%)

rewrite228.0ms (2.5%)

simplify242.0ms (2.6%)

eval112.0ms (1.2%)

prune197.0ms (2.1%)

simplify205.0ms (2.2%)

localize253.0ms (2.7%)

series26.0ms (0.3%)

rewrite296.0ms (3.2%)

simplify493.0ms (5.3%)

eval75.0ms (0.8%)

prune110.0ms (1.2%)

simplify289.0ms (3.1%)

localize134.0ms (1.4%)

series11.0ms (0.1%)

rewrite150.0ms (1.6%)

simplify84.0ms (0.9%)

eval54.0ms (0.6%)

prune177.0ms (1.9%)

regimes58.0ms (0.6%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

regimes121.0ms (1.3%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes106.0ms (1.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch4.0ms (0%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch146.0ms (1.6%)

bsearch10.0ms (0.1%)

bsearch41.0ms (0.4%)

simplify16.0ms (0.2%)

soundness1.4s (14.9%)

preprocess186.0ms (2%)

end0.0ms (0%)

Profiling