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)

sample1.3s (14.2%)

Results

839.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 528.0ms

ival-mult: 393.0ms (74.4% of total)

ival-add: 85.0ms (16.1% of total)

ival-sub: 40.0ms (7.6% of total)

const: 7.0ms (1.3% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess131.0ms (1.5%)

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)

explain139.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
24	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
20	-	-	`(+.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))`
13	-	-	`(-.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

94.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 54.0ms (87.1% of total)

ival-add: 5.0ms (8.1% of total)

ival-sub: 3.0ms (4.8% of total)

const: 0.0ms (0% of total)

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.2%	(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))))
▶	87.7%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
▶	87.7%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	80.4%	(+.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)

simplify86.0ms (1%)

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)

localize121.0ms (1.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal 2 binary64))
✓	accuracy	95.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	94.8%	(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	91.0%	(.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	99.7%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	accuracy	88.8%	(-.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	99.9%	(.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	88.8%	(-.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	95.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.0%	(+.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))
✓	accuracy	91.0%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

Results

86.0ms

256×

valid

Compiler

Compiled 181 to 26 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 30.0ms (64.6% of total)

ival-sub: 7.0ms (15.1% of total)

ival-pow: 4.0ms (8.6% of total)

ival-fma: 3.0ms (6.5% of total)

ival-add: 2.0ms (4.3% of total)

const: 1.0ms (2.2% of total)

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

series48.0ms (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 x.re x.re) (*.f64 x.im x.im)) x.im)>
#<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 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))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im x.re))>
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#<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 #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.re #s(literal 2 binary64)) (+.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 (pow.f64 x.re #s(literal 2 binary64)) (+.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 (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 #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 (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 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
4.0ms	x.re	@	0	(* 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)

rewrite533.0ms (5.9%)

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

simplify143.0ms (1.6%)

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)))))
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(exp.f64 (.f64 (log.f64 (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))))) #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 #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 (-.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 #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)))

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

eval483.0ms (5.4%)

Compiler: Compiled 11095 to 1700 computations (84.7% saved)

prune220.0ms (2.4%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	522	13	535
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	524	15	539

Accuracy

100.0%

Counts

539 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.4%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
▶	90.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.re #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
✓	87.7%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
	87.6%	(-.f64 (.f64 x.re (.f64 x.im (pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	87.7%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
	87.8%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
▶	80.4%	(+.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))
	46.2%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
	83.2%	(+.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))
	46.6%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
▶	46.6%	(.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))))
▶	46.5%	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
	59.7%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
	2.8%	#s(literal 10 binary64)
▶	2.8%	#s(literal 1/10 binary64)

Compiler

Compiled 334 to 212 computations (36.5% saved)

simplify84.0ms (0.9%)

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 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))
✓	cost-diff	6592	(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
✓	cost-diff	6592	(.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))))
✓	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	-6336	(*.f64 x.re x.re)
	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
✓	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.re #s(literal 3 binary64))
	cost-diff	0	(*.f64 x.re x.im)

Rules

832×	`fma-neg`
574×	`sub-neg`
399×	`associate-+l-`
370×	`cancel-sign-sub-inv`
356×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	440
1	75	431
2	158	428
3	323	428
4	713	428
5	1796	428
6	3003	428
7	6250	428

Stop Event

1×	node limit

Calls

Call 1

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

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

localize149.0ms (1.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.re #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))
✓	accuracy	99.8%	(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
✓	accuracy	86.2%	(.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))))
✓	accuracy	100.0%	(pow.f64 x.re #s(literal 2 binary64))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
✓	accuracy	86.2%	(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	accuracy	95.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.0%	(+.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	91.0%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	91.2%	(fma.f64 (.f64 x.re x.im) (.f64 x.re #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Results

115.0ms

256×

valid

Compiler

Compiled 138 to 24 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 60.0ms (74.4% of total)

ival-pow: 8.0ms (9.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (5% of total)

ival-fma: 3.0ms (3.7% of total)

ival-add: 2.0ms (2.5% of total)

ival-sub: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

series78.0ms (0.9%)

Counts

13 → 144

Calls

Call 1

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

Calls

60 calls:

Time	Variable		Point	Expression
60.0ms	x.im	@	-inf	(* x.im x.im)
1.0ms	x.im	@	0	(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
1.0ms	x.re	@	0	(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
0.0ms	x.im	@	inf	(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
0.0ms	x.im	@	-inf	(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))

rewrite216.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1045×	`log1p-expm1-u`
250×	`associate-r`
205×	`expm1-log1p-u`
198×	`add-cube-cbrt`
197×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	302
1	464	284
2	6446	284

Stop Event

1×	node limit

Counts

13 → 340

Calls

Call 1

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

Outputs
(+.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 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im)
(*.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 (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 #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 (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 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 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im)
(*.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 (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 #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 (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 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 (exp.f64 (log1p.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) x.re) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (*.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (.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 (.f64 #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 (exp.f64 (log1p.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (.f64 (.f64 #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 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (-.f64 (.f64 #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 (.f64 x.im (+.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (+.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (.f64 x.im (.f64 (*.f64 #s(literal 3 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 (.f64 (+.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 x.re #s(literal 6 binary64))) x.im) (+.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (.f64 (.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) x.im) (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x.re) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) (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 (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (.f64 x.im x.re)) (log.f64 (.f64 #s(literal 3 binary64) x.re))))
(fma.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im (.f64 x.im (pow.f64 x.re #s(literal 2 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.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) x.im))
(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 x.re #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 6 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 (log.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (neg.f64 x.re) x.re (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 (neg.f64 x.re) x.re))
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(sqrt.f64 (pow.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (pow.f64 x.im #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (pow.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (pow.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal 3 binary64) x.re) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 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))) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (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 (sqrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) (sqrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (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 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))))))
(.f64 (-.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))) (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (-.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 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 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 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 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #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))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (.f64 x.im x.re) (.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64))) x.re (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 8 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 x.im)))
(exp.f64 (+.f64 (log.f64 x.im) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))

simplify206.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

359×	`associate-r`
350×	`associate-l`
320×	`div-sub`
295×	`exp-prod`
263×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	603	15343
1	1288	14108
2	5287	13387

Stop Event

1×	node limit

Counts

484 → 371

Calls

Call 1

Inputs
(*.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))
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(pow.f64 x.im #s(literal 2 binary64))
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(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 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 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 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 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #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))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 2 binary64))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (.f64 x.im x.re) (.f64 x.re #s(literal 2 binary64)) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64))) x.re (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 8 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 x.im)))
(exp.f64 (+.f64 (log.f64 x.im) (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #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 #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) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (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 #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) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (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 #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) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (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 #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) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (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))
(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 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.im #s(literal 2 binary64)) x.re)
(.f64 x.im (.f64 #s(literal 2 binary64) 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))))
(.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 #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 #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 #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 #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 #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 #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 #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 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
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(fma.f64 (sqrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) (+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.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 (exp.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(.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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (.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))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 2 binary64))
(.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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(log.f64 (exp.f64 (.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 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #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 (.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 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (.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))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 8 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 8 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.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 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(exp.f64 (log.f64 (.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 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #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 (.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (log.f64 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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 x.im) (log.f64 (*.f64 #s(literal 2 binary64) (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 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 2 binary64)))

eval116.0ms (1.3%)

Compiler: Compiled 11468 to 1877 computations (83.6% saved)

prune209.0ms (2.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	611	4	615
Fresh	2	6	8
Picked	3	2	5
Done	0	2	2
Total	616	14	630

Accuracy

100.0%

Counts

630 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.1%	(pow.f64 (.f64 (sqrt.f64 (.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 2 binary64))
✓	87.7%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
	87.6%	(-.f64 (.f64 x.re (.f64 x.im (pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	87.7%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	87.8%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
✓	80.4%	(+.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))
	46.2%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
▶	46.6%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
	46.6%	(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
▶	46.6%	(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
	46.5%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
▶	59.7%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
▶	2.8%	#s(literal 10 binary64)
✓	2.8%	#s(literal 1/10 binary64)

Compiler

Compiled 248 to 170 computations (31.5% saved)

simplify371.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x.im)
	cost-diff	0	(pow.f64 x.re #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
✓	cost-diff	128	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
✓	cost-diff	0	(pow.f64 x.im #s(literal 3 binary64))
✓	cost-diff	64	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	-6336	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
✓	cost-diff	-6336	(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
✓	cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
✓	cost-diff	-6336	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(pow.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.im x.re))

Rules

763×	`fma-neg`
757×	`fma-define`
540×	`sub-neg`
452×	`unsub-neg`
367×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	283
1	58	271
2	122	271
3	212	271
4	415	271
5	766	271
6	1369	271
7	2806	271
8	3806	271
9	4189	271
10	4724	271
11	5384	271
12	5675	271
13	5798	271
14	5894	271
15	6024	271
16	6356	271
17	7141	271
18	7609	271
19	7770	271
20	7918	271
21	7982	271
22	7993	271

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

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

localize142.0ms (1.6%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x.re #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x.im)
✓	accuracy	86.1%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
✓	accuracy	100.0%	(pow.f64 x.im #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x.re)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) x.re) x.re)
✓	accuracy	86.2%	(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.9%	(.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	88.8%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))

Results

113.0ms

256×

valid

Compiler

Compiled 88 to 20 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 17.0ms (60.9% of total)

ival-pow: 7.0ms (25.1% of total)

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

const: 1.0ms (3.6% of total)

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

series16.0ms (0.2%)

Counts

12 → 108

Calls

Call 1

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

54 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	0	(* (pow x.re 2) (+ x.im (* 2 x.im)))
0.0ms	x.re	@	inf	(* (pow x.re 2) (+ x.im (* 2 x.im)))
0.0ms	x.im	@	0	(* (pow x.re 2) (+ x.im (* 2 x.im)))
0.0ms	x.im	@	inf	(+ x.im (* 2 x.im))
0.0ms	x.im	@	0	(* -1 (pow x.im 3))

rewrite185.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

833×	`log1p-expm1-u`
833×	`expm1-log1p-u`
329×	`fma-neg`
222×	`associate-r`
152×	`add-cube-cbrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	216
1	354	212
2	4950	209

Stop Event

1×	node limit

Counts

12 → 326

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 x.re (.f64 #s(literal 3 binary64) x.im)))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))) x.re) (fma.f64 x.im x.im (.f64 (.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (.f64 x.im #s(literal -1 binary64))) x.re) (*.f64 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 #s(literal 3 binary64)) x.im) x.re))
(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 (.f64 #s(literal 3 binary64) x.im) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) 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)))
(exp.f64 (+.f64 (log.f64 x.im) (log.f64 (*.f64 #s(literal 3 binary64) x.re))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 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 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 x.im x.re)))
(exp.f64 (log.f64 (*.f64 x.im x.re)))
(exp.f64 (.f64 (log.f64 (.f64 x.im x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.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 x.im (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.im #s(literal 2 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 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.im)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.im #s(literal -1 binary64)))
(*.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 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) (pow.f64 x.im #s(literal 2 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 (pow.f64 x.im #s(literal 3/2 binary64)) (.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im)
(*.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 3 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 (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64)) x.im)
(.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) x.im) (pow.f64 x.im #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) 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)))
(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 x.im #s(literal 9 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 (pow.f64 x.im #s(literal 3 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 x.re #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64)))) (fma.f64 x.im x.im (.f64 (.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (.f64 #s(literal 3 binary64) x.im) (.f64 x.im #s(literal -1 binary64)))) (*.f64 x.im #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 8 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (fma.f64 x.im x.im (.f64 (.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (.f64 x.im #s(literal -1 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 x.im #s(literal -1 binary64)))
(pow.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.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 (.f64 #s(literal 3 binary64) x.im))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x.im) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.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 (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #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 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.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)))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im (.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)))))

simplify486.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

492×	`distribute-rgt-neg-in`
479×	`distribute-lft-neg-in`
469×	`associate-r`
452×	`associate-l`
449×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	538	12796
1	1180	11504
2	4491	11432

Stop Event

1×	node limit

Counts

434 → 330

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

eval48.0ms (0.5%)

Compiler: Compiled 6025 to 1103 computations (81.7% saved)

prune87.0ms (1%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	407	3	410
Fresh	0	5	5
Picked	2	3	5
Done	0	4	4
Total	409	15	424

Accuracy

100.0%

Counts

424 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.8%	(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) (sqrt.f64 (.f64 x.im x.re))) (sqrt.f64 (.f64 x.im x.re)) (pow.f64 x.im #s(literal 3 binary64)))
	55.1%	(pow.f64 (.f64 (sqrt.f64 (.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 2 binary64))
✓	87.7%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
▶	87.6%	(-.f64 (.f64 x.re (.f64 x.im (pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	87.7%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	87.8%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
✓	80.4%	(+.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))
▶	46.2%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
	46.6%	(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
▶	46.6%	(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
✓	46.6%	(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
▶	46.5%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
	59.7%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	2.8%	#s(literal 10 binary64)
✓	2.8%	#s(literal 1/10 binary64)

Compiler

Compiled 257 to 169 computations (34.2% saved)

simplify337.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 x.im x.re))
	cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
✓	cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.re) (sqrt.f64 (*.f64 x.im x.re)))
✓	cost-diff	6720	(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) (sqrt.f64 (.f64 x.im x.re))) (sqrt.f64 (.f64 x.im x.re)) (pow.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)) #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
✓	cost-diff	-18944	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
	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	-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	6528	(.f64 x.re (.f64 x.im (pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))))
✓	cost-diff	6528	(-.f64 (.f64 x.re (.f64 x.im (pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))
✓	cost-diff	12864	(.f64 x.im (pow.f64 (sqrt.f64 (.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))

Rules

891×	`unsub-neg`
715×	`fma-neg`
593×	`associate-+r+`
433×	`sub-neg`
414×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	646
1	72	554
2	137	522
3	271	521
4	643	519
5	1574	519
6	2613	519
7	4954	519
8	6183	519
9	7104	519
10	7390	519
11	7583	519
12	7619	519
13	7625	519
14	7627	519
15	7693	519
16	7697	519
17	7697	519

Stop Event

1×	node limit

Calls

Call 1

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

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

localize907.0ms (10.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 #s(literal 3 binary64) x.re)
✓	accuracy	99.9%	(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) (sqrt.f64 (.f64 x.im x.re))) (sqrt.f64 (.f64 x.im x.re)) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 3 binary64) x.re) (sqrt.f64 (*.f64 x.im x.re)))
✓	accuracy	86.0%	(sqrt.f64 (*.f64 x.im x.re))
	accuracy	100.0%	(pow.f64 x.re #s(literal 2 binary64))
✓	accuracy	99.9%	(*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))
✓	accuracy	89.2%	(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	96.6%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	92.5%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
	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	89.1%	(.f64 x.im (.f64 x.re x.re))
✓	accuracy	99.9%	(.f64 x.re (.f64 x.im (pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))))
✓	accuracy	99.9%	(.f64 x.im (pow.f64 (sqrt.f64 (.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
✓	accuracy	99.5%	(pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))
✓	accuracy	93.8%	(-.f64 (.f64 x.re (.f64 x.im (pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))

Results

350.0ms	79×	5	exit
128.0ms	177×	0	valid

Compiler

Compiled 168 to 28 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-mult: 101.0ms (54.5% of total)

ival-pow: 33.0ms (17.8% of total)

backward-pass: 25.0ms (13.5% of total)

ival-sqrt: 13.0ms (7% of total)

ival-fma: 6.0ms (3.2% of total)

ival-sub: 4.0ms (2.2% of total)

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

const: 1.0ms (0.5% of total)

series185.0ms (2.1%)

Counts

12 → 248

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
151.0ms	x.re	@	-inf	(* 3 (* x.im (* x.re x.re)))
4.0ms	x.im	@	0	(* x.im (pow (sqrt (* x.re 3)) 2))
1.0ms	x.im	@	0	(* (* 3 x.re) (sqrt (* x.im x.re)))
1.0ms	x.re	@	-inf	(+ (* (* (* 3 x.re) (sqrt (* x.im x.re))) (sqrt (* x.im x.re))) (pow x.im 3))
1.0ms	x.re	@	-inf	(* x.im (pow (sqrt (* x.re 3)) 2))

rewrite213.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1087×	`log1p-expm1-u`
265×	`associate-r`
213×	`expm1-log1p-u`
204×	`pow1`
203×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	341
1	550	303
2	6451	303

Stop Event

1×	node limit

Counts

12 → 260

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x.re) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x.re #s(literal 3 binary64))
(*.f64 x.re (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal 3 binary64))))
(*.f64 #s(literal 3 binary64) x.re)
(.f64 (sqrt.f64 (.f64 x.re #s(literal 3 binary64))) (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))))
(.f64 (.f64 x.re #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x.re #s(literal 3 binary64)))
(.f64 (cbrt.f64 (.f64 x.re #s(literal 3 binary64))) (pow.f64 (cbrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 x.re #s(literal 3 binary64))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (*.f64 x.re #s(literal 3 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re #s(literal 3 binary64))))
(.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) #s(literal 3 binary64)))
(.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) #s(literal 3 binary64)))
(.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 x.re #s(literal 3 binary64)))))
(.f64 (pow.f64 (.f64 x.re #s(literal 3 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 x.re #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x.re #s(literal 3 binary64)))))
(.f64 (.f64 (sqrt.f64 (.f64 x.re #s(literal 3 binary64))) (pow.f64 (.f64 x.re #s(literal 3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x.re #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(.f64 (.f64 #s(literal 3 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(.f64 (.f64 (sqrt.f64 (.f64 x.re #s(literal 3 binary64))) (cbrt.f64 (.f64 x.re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64)))))
(.f64 (.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) (sqrt.f64 x.re)) (sqrt.f64 #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.re #s(literal 3 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.re #s(literal 3 binary64))))
(exp.f64 (log.f64 (*.f64 x.re #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (neg.f64 (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)))) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (-.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))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.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))) (fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.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))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.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))) (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 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (-.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))) #s(literal 1 binary64))
(.f64 #s(literal 1 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))))
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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)) #s(literal -9 binary64)) (fma.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 (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)) #s(literal -27 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 #s(literal 9 binary64) (.f64 x.im (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 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)) #s(literal -9 binary64))) (neg.f64 (fma.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 9 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 #s(literal -3 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.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 binary64))
(pow.f64 (cbrt.f64 (fma.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 (fma.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)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.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 2 binary64))
(sqrt.f64 (pow.f64 (fma.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 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 binary64)))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im #s(literal -3 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)))) #s(literal -3 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))))) #s(literal -3 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))))) #s(literal -3 binary64))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 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 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (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 (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (.f64 x.im x.re)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 3/2 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 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (.f64 x.im x.re))))) (log.f64 (sqrt.f64 (.f64 x.im x.re)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 #s(literal 3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 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 (pow.f64 x.im #s(literal 3 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64))
(.f64 (fma.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(.f64 (cbrt.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (sqrt.f64 (fma.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 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 9 binary64)) (pow.f64 x.im #s(literal 6 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 (pow.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64))) (+.f64 (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 9 binary64)) (-.f64 (pow.f64 x.im #s(literal 6 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))))))
(pow.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (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.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re)))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 x.im x.re) (pow.f64 (*.f64 x.re #s(literal 3 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 x.im x.re))) (.f64 x.re #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re)))))))
(cbrt.f64 (pow.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re))))))
(log1p.f64 (expm1.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re))))))
(exp.f64 (log.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (*.f64 x.im x.re))))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (sqrt.f64 (.f64 x.im x.re))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x.im x.re)))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 x.im x.re)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 x.im x.re)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x.im x.re))) (cbrt.f64 (*.f64 x.im x.re)))
(.f64 (cbrt.f64 (.f64 x.im x.re)) (cbrt.f64 (sqrt.f64 (*.f64 x.im x.re))))
(*.f64 (sqrt.f64 x.re) (sqrt.f64 x.im))
(*.f64 (sqrt.f64 x.im) (sqrt.f64 x.re))
(.f64 (pow.f64 (.f64 x.im x.re) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 x.im x.re)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 x.im x.re))))
(pow.f64 (*.f64 x.im x.re) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x.im x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 x.im x.re)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x.im x.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 x.im x.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x.im x.re))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x.im x.re))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x.im x.re))))
(exp.f64 (.f64 (log.f64 (.f64 x.im x.re)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x.im x.re))) #s(literal 1 binary64)))

simplify266.0ms (3%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-neg`
507×	`cancel-sign-sub-inv`
395×	`distribute-lft-neg-in`
377×	`associate-r`
371×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	579	17045
1	1246	16188
2	4454	16124

Stop Event

1×	node limit

Counts

508 → 334

Calls

Call 1

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

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

eval73.0ms (0.8%)

Compiler: Compiled 9575 to 1774 computations (81.5% saved)

prune209.0ms (2.3%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	560	3	563
Fresh	0	3	3
Picked	2	3	5
Done	0	7	7
Total	562	16	578

Accuracy

100.0%

Counts

578 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.8%	(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) (sqrt.f64 (.f64 x.im x.re))) (sqrt.f64 (.f64 x.im x.re)) (pow.f64 x.im #s(literal 3 binary64)))
	55.1%	(pow.f64 (.f64 (sqrt.f64 (.f64 x.im #s(literal 3 binary64))) x.re) #s(literal 2 binary64))
✓	87.7%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	87.6%	(-.f64 (.f64 x.re (.f64 x.im (pow.f64 (sqrt.f64 (*.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	87.7%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	87.8%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
✓	80.4%	(+.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))
	51.3%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
	46.6%	(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
	46.6%	(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
✓	46.6%	(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
✓	46.5%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
	59.7%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	2.8%	#s(literal 10 binary64)
✓	2.8%	#s(literal 1/10 binary64)
	2.8%	#s(literal -3 binary64)

Compiler

Compiled 432 to 188 computations (56.5% saved)

regimes27.0ms (0.3%)

Counts

27 → 2

Calls

Call 1

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

Calls

3 calls:

9.0ms	x.im
8.0ms	x.re
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
94.7%	2	`x.re`
99.9%	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)

regimes30.0ms (0.3%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

3 calls:

18.0ms	x.im
6.0ms	x.re
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
85.6%	2	`x.re`
91.0%	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))`
91.0%	2	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes9.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

Calls

2 calls:

5.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
56.2%	3	`x.re`
78.9%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
46.6%	1	`x.re`
46.6%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
46.6%	1	`x.im`
46.6%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
46.5%	1	`x.im`
46.5%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.9b remaining (-1.4%)

Threshold costs -0.9b (-1.4%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)

Outputs
#s(literal -3 binary64)

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
2.8%	1	`x.im`
2.8%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	1.10568441306745e+102	2.0540975504428532e+104

Results

8.0ms

80×

valid

Compiler

Compiled 166 to 105 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (86.6% of total)

ival-add: 1.0ms (17.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch72.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
70.0ms	0.005536009920789023	12645496.398778854

Results

66.0ms

144×

valid

Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 60.0ms (97.3% of total)

ival-sub: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative`
11×	`+-commutative`
6×	`sub-neg`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	484
1	81	484
2	93	484
3	99	484
4	102	484

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 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) (+.f64 x.re 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) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 155 binary64)) (.f64 x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
#s(literal -3 binary64)

Outputs
(if (<=.f64 x.im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 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) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 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 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #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) (+.f64 x.re 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 +inf.0 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)))) (+.f64 (.f64 x.im (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 155 binary64)) (.f64 x.im (.f64 (.f64 x.re x.re) #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 155 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (+.f64 (.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #s(literal -3 binary64)))
(.f64 x.im (.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 x.im (.f64 (*.f64 #s(literal 3 binary64) x.re) x.re))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
#s(literal -3 binary64)

soundness985.0ms (10.9%)

Rules

1045×	`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	31	520
1	560	436
2	6640	436
0	763	7375
1	2495	7375
0	42	563
1	136	491
2	368	483
3	1517	309
4	4607	301
5	6832	301
6	7668	301
0	29	302
1	464	284
2	6446	284

Stop Event

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

Compiler

Compiled 540 to 161 computations (70.2% saved)

preprocess70.0ms (0.8%)

Remove: (abs x.re)
Compiler: Compiled 996 to 534 computations (46.4% saved)

analyze0.0ms (0%)

sample1.3s (14.2%)

preprocess131.0ms (1.5%)

explain139.0ms (1.5%)

eval2.0ms (0%)

prune2.0ms (0%)

simplify86.0ms (1%)

localize121.0ms (1.3%)

series48.0ms (0.5%)

rewrite533.0ms (5.9%)

simplify143.0ms (1.6%)

eval483.0ms (5.4%)

prune220.0ms (2.4%)

simplify84.0ms (0.9%)

localize149.0ms (1.7%)

series78.0ms (0.9%)

rewrite216.0ms (2.4%)

simplify206.0ms (2.3%)

eval116.0ms (1.3%)

prune209.0ms (2.3%)

simplify371.0ms (4.1%)

localize142.0ms (1.6%)

series16.0ms (0.2%)

rewrite185.0ms (2.1%)

simplify486.0ms (5.4%)

eval48.0ms (0.5%)

prune87.0ms (1%)

simplify337.0ms (3.7%)

localize907.0ms (10.1%)

series185.0ms (2.1%)

rewrite213.0ms (2.4%)

simplify266.0ms (3%)

eval73.0ms (0.8%)

prune209.0ms (2.3%)

regimes27.0ms (0.3%)

regimes30.0ms (0.3%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch12.0ms (0.1%)

bsearch0.0ms (0%)

bsearch72.0ms (0.8%)

simplify8.0ms (0.1%)

soundness985.0ms (10.9%)

preprocess70.0ms (0.8%)

end0.0ms (0%)

Profiling