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 (14.9%)

Results

938.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 711.0ms

ival-mult: 586.0ms (82.5% of total)

ival-add: 77.0ms (10.8% of total)

ival-sub: 39.0ms (5.5% of total)

const: 6.0ms (0.8% of total)

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

Bogosity

preprocess180.0ms (2.1%)

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)

explain237.0ms (2.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
15	-	-	`(+.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))`
11	-	-	`(-.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

180.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-add: 117.0ms (76.1% of total)

ival-mult: 21.0ms (13.7% of total)

ival-sub: 16.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.0%	(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))))
▶	90.4%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
▶	90.5%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	85.1%	(+.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)

simplify108.0ms (1.2%)

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)

localize126.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal 2 binary64))
✓	accuracy	96.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	96.0%	(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	93.3%	(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	99.7%	(.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	91.3%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x.re #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
✓	accuracy	99.3%	(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	91.3%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	96.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	94.0%	(+.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	93.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

Results

79.0ms

256×

valid

Compiler

Compiled 181 to 26 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 24.0ms (63.9% of total)

ival-sub: 4.0ms (10.6% of total)

ival-pow: 4.0ms (10.6% of total)

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

ival-add: 2.0ms (5.3% of total)

const: 1.0ms (2.7% of total)

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

series46.0ms (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
3.0ms	x.im	@	0	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms	x.im	@	-inf	(* x.im (* x.re 3))
1.0ms	x.re	@	0	(* x.im (- (* x.re x.re) (* x.im x.im)))
1.0ms	x.re	@	0	(* x.im (* x.re 3))
1.0ms	x.re	@	-inf	(+ (* x.re x.im) (* x.im x.re))

rewrite456.0ms (5.2%)

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)

eval87.0ms (1%)

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

prune149.0ms (1.7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	523	12	535
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	525	14	539

Accuracy

100.0%

Counts

539 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.4%	(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%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
	90.4%	(-.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)))
✓	90.5%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
	90.5%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
	85.1%	(+.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))
▶	54.4%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
	73.2%	(+.f64 (.f64 (-.f64 (cbrt.f64 (pow.f64 x.re #s(literal 6 binary64))) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	87.4%	(+.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))
	44.7%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
▶	44.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
	57.6%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
	2.5%	#s(literal 10 binary64)
▶	2.5%	#s(literal 1/10 binary64)

Compiler

Compiled 326 to 208 computations (36.2% saved)

simplify77.0ms (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 x.im (pow.f64 x.re #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(-.f64 x.re x.im)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	-12672	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
	cost-diff	-6336	(*.f64 x.re x.re)
	cost-diff	-6336	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(pow.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

localize164.0ms (1.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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	87.7%	(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	94.0%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	accuracy	93.3%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	96.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	93.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	100.0%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
✓	accuracy	93.1%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Results

127.0ms

256×

valid

Compiler

Compiled 153 to 29 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-pow: 47.0ms (51.5% of total)

ival-mult: 20.0ms (21.9% of total)

ival-sub: 10.0ms (11% of total)

ival-add: 5.0ms (5.5% of total)

...c/correct-round.rkt:121:19: 4.0ms (4.4% of total)

ival-fma: 3.0ms (3.3% of total)

const: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

series30.0ms (0.3%)

Counts

13 → 177

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite278.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

13 → 330

Calls

Call 1

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

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

simplify135.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	726	13567
1	2029	13567

Stop Event

1×

unsound

Counts

507 → 446

Calls

Call 1

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

Outputs
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
(*.f64 x.re (cbrt.f64 #s(literal 27 binary64)))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal 3 binary64) x.im)
(cbrt.f64 #s(literal 27 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
x.re
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(-.f64 x.re x.im)
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(-.f64 x.re x.im)
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(-.f64 x.re x.im)
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
x.im
(+.f64 x.im x.re)
(+.f64 x.im x.re)
(+.f64 x.im x.re)
x.re
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
x.re
(+.f64 x.im x.re)
(+.f64 x.im x.re)
(+.f64 x.im x.re)
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
x.im
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (cbrt.f64 #s(literal 27 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (cbrt.f64 #s(literal 27 binary64)))
(-.f64 (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (cbrt.f64 #s(literal 27 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (cbrt.f64 #s(literal 27 binary64)))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64))) (cbrt.f64 #s(literal 27 binary64))))
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#s(literal -1 binary64)
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(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)))) (neg.f64 x.re))
(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 x.re #s(literal -1 binary64) (*.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.im (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 x.re))
(fma.f64 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 x.re)) #s(literal 2 binary64)) (.f64 #s(literal -1 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))))
(+.f64 (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)) (neg.f64 x.re))
(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)))))
(fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x.re)) (.f64 #s(literal -1 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)))))

eval118.0ms (1.4%)

Compiler: Compiled 13287 to 2420 computations (81.8% saved)

prune158.0ms (1.8%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	673	8	681
Fresh	1	6	7
Picked	3	2	5
Done	1	1	2
Total	678	17	695

Accuracy

100.0%

Counts

695 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.9%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
✓	90.4%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
	90.4%	(-.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)))
▶	90.5%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
	85.1%	(+.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))
✓	54.4%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
	87.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	58.7%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
	85.9%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	72.1%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	87.4%	(+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	44.7%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
	44.6%	(.f64 #s(literal 3 binary64) (.f64 x.im (.f64 (.f64 x.re (sqrt.f64 x.re)) (sqrt.f64 x.re))))
	44.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
	57.6%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
▶	2.5%	#s(literal 10 binary64)
✓	2.5%	#s(literal 1/10 binary64)

Compiler

Compiled 433 to 263 computations (39.3% saved)

simplify152.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
	cost-diff	0	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x.re (-.f64 x.re 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)
✓	cost-diff	256	(+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))
✓	cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	cost-diff	384	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
✓	cost-diff	0	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
✓	cost-diff	0	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))

Rules

737×	`fma-define`
557×	`associate-+l-`
518×	`distribute-lft-out`
453×	`unsub-neg`
391×	`associate-+r-`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	691
1	77	651
2	161	651
3	355	646
4	985	639
5	2736	634
6	7031	634

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

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

localize166.0ms (1.9%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	99.9%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
	accuracy	99.7%	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x.re (-.f64 x.re x.im))
	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	94.0%	(+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	accuracy	93.3%	(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (*.f64 x.im (-.f64 x.re x.im))))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	99.7%	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
✓	accuracy	94.1%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.8%	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
✓	accuracy	99.5%	(.f64 #s(literal 3 binary64) (.f64 x.im x.re))
✓	accuracy	91.3%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))

Results

123.0ms

256×

valid

Compiler

Compiled 196 to 26 computations (86.7% saved)

Precisions

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

ival-mult: 22.0ms (60.1% of total)

ival-pow: 5.0ms (13.7% of total)

ival-add: 4.0ms (10.9% of total)

ival-fma: 3.0ms (8.2% of total)

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

const: 1.0ms (2.7% of total)

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

series28.0ms (0.3%)

Counts

11 → 216

Calls

Call 1

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

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	inf	(+ (* x.re (- x.re x.im)) (* x.im (- x.re x.im)))
2.0ms	x.im	@	inf	(- (* x.re (* 3 (* x.im x.re))) (pow x.im 3))
0.0ms	x.im	@	-inf	(+ (* (* (- x.re x.im) x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.im	@	inf	(+ (* x.im (+ (* x.re (- x.re x.im)) (* x.im (- x.re x.im)))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.im	@	-inf	(+ (* x.re (- x.re x.im)) (* x.im (- x.re x.im)))

rewrite243.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`log1p-expm1-u`
254×	`associate-r`
220×	`add-cube-cbrt`
220×	`expm1-log1p-u`
215×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	402
1	546	332
2	7328	332

Stop Event

1×	node limit

Counts

11 → 291

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (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 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.im (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (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 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 (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 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64))))
(.f64 (cbrt.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
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(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 (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.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)))))
(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))))

simplify274.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

177×	`*-commutative`
110×	`+-commutative`
54×	`distribute-rgt-in`
54×	`fma-define`
54×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	833	24796
1	2257	24796

Stop Event

1×

unsound

Counts

507 → 532

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

eval249.0ms (2.9%)

Compiler: Compiled 17837 to 2336 computations (86.9% saved)

prune180.0ms (2.1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	812	9	821
Fresh	3	6	9
Picked	2	3	5
Done	1	2	3
Total	818	20	838

Accuracy

100.0%

Counts

838 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(fma.f64 (.f64 x.re (pow.f64 (sqrt.f64 (.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) x.re #s(literal -1 binary64))
✓	32.9%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
	32.9%	(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64))
✓	90.4%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	90.5%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
▶	85.1%	(+.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))
	87.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
▶	58.7%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
	85.9%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	72.1%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	48.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
▶	87.4%	(+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	44.7%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
▶	44.7%	(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
	44.6%	(.f64 #s(literal 3 binary64) (.f64 x.im (.f64 (.f64 x.re (sqrt.f64 x.re)) (sqrt.f64 x.re))))
	44.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
	57.6%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	2.5%	#s(literal 10 binary64)
✓	2.5%	#s(literal 1/10 binary64)
▶	2.8%	#s(literal -1 binary64)

Compiler

Compiled 440 to 281 computations (36.1% saved)

simplify73.0ms (0.8%)

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 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 x.im (.f64 #s(literal 3 binary64) (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	-12672	(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
	cost-diff	-12672	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
	cost-diff	0	(+.f64 x.re x.im)
	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 (-.f64 x.re x.im))
	cost-diff	0	(-.f64 x.re x.im)
	cost-diff	0	(*.f64 x.re (-.f64 x.re x.im))

Rules

1002×	`fma-define`
502×	`unsub-neg`
485×	`sub-neg`
374×	`fma-neg`
370×	`associate-+r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	681
1	80	669
2	182	659
3	426	613
4	1225	611
5	3470	611
6	6563	611

Stop Event

1×	node limit

Calls

Call 1

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

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

localize113.0ms (1.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x.re #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
✓	accuracy	87.7%	(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	accuracy	96.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	94.0%	(+.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	93.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
	accuracy	100.0%	(+.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
	accuracy	93.3%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
	accuracy	100.0%	(*.f64 x.re (-.f64 x.re x.im))
✓	accuracy	99.7%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
✓	accuracy	94.0%	(+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	accuracy	93.3%	(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (*.f64 x.im (-.f64 x.re x.im))))

Results

73.0ms

256×

valid

Compiler

Compiled 192 to 28 computations (85.4% saved)

Precisions

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

ival-mult: 20.0ms (61.6% of total)

ival-add: 5.0ms (15.4% of total)

ival-sub: 3.0ms (9.2% of total)

ival-pow: 3.0ms (9.2% of total)

const: 1.0ms (3.1% of total)

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

series19.0ms (0.2%)

Counts

9 → 192

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite251.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`log1p-expm1-u`
242×	`associate-r`
208×	`expm1-log1p-u`
205×	`add-cube-cbrt`
201×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	297
1	572	288
2	7056	288

Stop Event

1×	node limit

Counts

9 → 275

Calls

Call 1

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

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

simplify455.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-neg`
432×	`fma-define`
354×	`associate-r`
311×	`associate-l`
306×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	721	25802
1	1914	20811
2	7169	20777

Stop Event

1×	node limit

Counts

467 → 430

Calls

Call 1

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

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

eval475.0ms (5.5%)

Compiler: Compiled 23349 to 3581 computations (84.7% saved)

prune312.0ms (3.6%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	1029	4	1033
Fresh	1	9	10
Picked	2	3	5
Done	0	5	5
Total	1032	21	1053

Accuracy

100.0%

Counts

1053 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(fma.f64 (.f64 x.re (pow.f64 (sqrt.f64 (.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) x.re #s(literal -1 binary64))
✓	32.9%	(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
	32.9%	(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64))
✓	90.4%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	90.5%	(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
✓	85.1%	(+.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))
	87.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
✓	58.7%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
	85.9%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	72.1%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	48.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
	44.6%	(+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im x.re))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	44.7%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
	44.6%	(.f64 x.im (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re (sqrt.f64 x.re)) (sqrt.f64 x.re))))
	44.7%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
	44.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
	57.6%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	2.5%	#s(literal 10 binary64)
✓	2.5%	#s(literal 1/10 binary64)
✓	2.8%	#s(literal -1 binary64)
	2.8%	#s(literal -3 binary64)

Compiler

Compiled 665 to 263 computations (60.5% saved)

regimes126.0ms (1.4%)

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im x.re))) (.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))
(+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
(-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(.f64 #s(literal 3 binary64) (.f64 x.im (.f64 (.f64 x.re (sqrt.f64 x.re)) (sqrt.f64 x.re))))
(.f64 x.im (.f64 #s(literal 3 binary64) (.f64 (.f64 x.re (sqrt.f64 x.re)) (sqrt.f64 x.re))))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (.f64 (-.f64 (cbrt.f64 (pow.f64 x.re #s(literal 6 binary64))) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (.f64 x.re (pow.f64 (sqrt.f64 (.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) x.re #s(literal -1 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)))

Outputs
(-.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.im) x.im) x.im) #s(literal -3 binary64))

Calls

3 calls:

101.0ms	x.im
11.0ms	x.re
10.0ms	(+.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
95.9%	2	`x.re`
99.9%	2	`x.im`
98.7%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes82.0ms (0.9%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

x.im

Results

Accuracy	Segments	Branch
99.9%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
93.3%	2	`x.im`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes9.0ms (0.1%)

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

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
99.8%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes45.0ms (0.5%)

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

29.0ms	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
93.3%	2	`x.im`
89.4%	2	`x.re`
93.3%	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)

regimes12.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
93.3%	2	`x.im`
93.3%	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 24 to 13 computations (45.8% saved)

regimes6.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

x.im

Results

Accuracy	Segments	Branch
93.3%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

4.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
80.0%	3	`x.re`
86.2%	3	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

x.im

Results

Accuracy	Segments	Branch
81.9%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

x.im

Results

Accuracy	Segments	Branch
80.2%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
44.7%	1	`x.re`
44.7%	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 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:

3.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
44.7%	1	`x.im`
44.7%	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 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)

Outputs
#s(literal -1 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)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -3 binary64)

Outputs
#s(literal -3 binary64)

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

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

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	1.7611156844326564e+99	1.0411447771890831e+108

Results

8.0ms

96×

valid

Compiler

Compiled 182 to 117 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (77.4% of total)

ival-add: 1.0ms (19.4% of total)

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

const: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	1.7611156844326564e+99	1.0411447771890831e+108

Results

4.0ms

48×

valid

Compiler

Compiled 104 to 66 computations (36.5% saved)

Precisions

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

ival-mult: 2.0ms (78.4% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	3.413538057853083e+243	8.046107412902235e+243

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch71.0ms (0.8%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.415018243916556e+256	3.9048600809749365e+265

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
14.0ms	1.0240036034031728e+78	3.5427338119979853e+81

Results

10.0ms

128×

valid

Compiler

Compiled 282 to 175 computations (37.9% saved)

Precisions

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

ival-mult: 5.0ms (73.3% of total)

ival-sub: 1.0ms (14.7% of total)

ival-add: 1.0ms (14.7% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	756909.7199422568	5399889.253555926
7.0ms	9.723366879973747e-92	1.701663814876906e-91

Results

13.0ms

160×

valid

Compiler

Compiled 330 to 207 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (70.3% of total)

ival-sub: 1.0ms (11.7% of total)

ival-add: 1.0ms (11.7% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	756909.7199422568	5399889.253555926

Results

8.0ms

96×

valid

Compiler

Compiled 170 to 111 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (77.9% of total)

ival-add: 1.0ms (19.5% of total)

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

const: 0.0ms (0% of total)

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

bsearch112.0ms (1.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
110.0ms	3.4387335405545363e+28	9.616954210294645e+30

Results

106.0ms

128×

valid

Compiler

Compiled 202 to 135 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 101.0ms (98.5% of total)

ival-sub: 1.0ms (1% of total)

ival-add: 1.0ms (1% of total)

const: 0.0ms (0% of total)

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

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

25×	`*-commutative`
17×	`+-commutative`
7×	`sub-neg`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1801
1	135	1801
2	147	1801
3	153	1801
4	156	1801

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 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.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) (-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 5000000000000000373252878249158478873163976500598077965815172000600577285678996181460747266537496640372395156600649710957337964172871704131679822567532950330753943193745594177090185097636114434724906202597423232830733612794945423041676946964480 binary64)) (+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 40000000000000001205106396005621700115619461590987805153284319196130965335105849312844494250765830542729753720686911312718677365467455093787539980079822879945114658246976855201041588226249182240896863721078041513152565409611412479665717649856705589384577024 binary64)) (+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 3500000000000000040423454640501799690528344422718440438020279986078058282437574656 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 1376099169594043/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 3300000 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 2000000 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re 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 579999999999999989015084269568 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
#s(literal -1 binary64)
#s(literal -3 binary64)

Outputs
(if (<=.f64 x.im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 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.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 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.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 binary64)) (-.f64 (.f64 x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 499999999999999988524756632622668314223421359962075003064997987365996726090394955651630647240755773440 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 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal 5000000000000000373252878249158478873163976500598077965815172000600577285678996181460747266537496640372395156600649710957337964172871704131679822567532950330753943193745594177090185097636114434724906202597423232830733612794945423041676946964480 binary64)) (+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal 5000000000000000373252878249158478873163976500598077965815172000600577285678996181460747266537496640372395156600649710957337964172871704131679822567532950330753943193745594177090185097636114434724906202597423232830733612794945423041676946964480 binary64)) (+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 x.re (-.f64 x.re x.im)))) (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64)))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re #s(literal -1 binary64)) (+.f64 (.f64 x.im (.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64))))
(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 40000000000000001205106396005621700115619461590987805153284319196130965335105849312844494250765830542729753720686911312718677365467455093787539980079822879945114658246976855201041588226249182240896863721078041513152565409611412479665717649856705589384577024 binary64)) (+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal 40000000000000001205106396005621700115619461590987805153284319196130965335105849312844494250765830542729753720686911312718677365467455093787539980079822879945114658246976855201041588226249182240896863721078041513152565409611412479665717649856705589384577024 binary64)) (+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 x.re x.im)) (.f64 x.re (-.f64 x.re x.im)))) (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64)))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re #s(literal -1 binary64)) (+.f64 (.f64 x.im (.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im)))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 (+.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.im (-.f64 x.re x.im)) (.f64 x.re (-.f64 x.re x.im)))) (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64)))) (+.f64 (.f64 x.im (.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 (+.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 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 3500000000000000040423454640501799690528344422718440438020279986078058282437574656 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 3500000000000000040423454640501799690528344422718440438020279986078058282437574656 binary64)) (+.f64 (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 x.im (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (+.f64 (.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 1376099169594043/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 3300000 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 1376099169594043/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 3300000 binary64)) (+.f64 (.f64 x.im (.f64 x.im (-.f64 x.re x.im))) (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64)))) (+.f64 #s(literal -3 binary64) (.f64 x.im (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))))
(if (<=.f64 x.im #s(literal 2000000 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re 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 2000000 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (+.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))))
(if (<=.f64 x.im #s(literal 579999999999999989015084269568 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 579999999999999989015084269568 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (+.f64 (.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
#s(literal -1 binary64)
#s(literal -3 binary64)

soundness1.2s (13.8%)

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	726	13567
1	2029	13567
0	763	7375
1	2495	7375
0	31	520
1	560	436
2	6640	436
0	833	24796
1	2257	24796
0	29	307
1	472	263
2	6483	263
0	42	563
1	136	491
2	368	483
3	1517	309
4	4607	301
5	6832	301
6	7668	301

Stop Event

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

Compiler

Compiled 764 to 174 computations (77.2% saved)

preprocess90.0ms (1%)

Compiler: Compiled 1278 to 396 computations (69% saved)

analyze0.0ms (0%)

sample1.3s (14.9%)

preprocess180.0ms (2.1%)

explain237.0ms (2.7%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify108.0ms (1.2%)

localize126.0ms (1.4%)

series46.0ms (0.5%)

rewrite456.0ms (5.2%)

simplify143.0ms (1.6%)

eval87.0ms (1%)

prune149.0ms (1.7%)

simplify77.0ms (0.9%)

localize164.0ms (1.9%)

series30.0ms (0.3%)

rewrite278.0ms (3.2%)

simplify135.0ms (1.6%)

eval118.0ms (1.4%)

prune158.0ms (1.8%)

simplify152.0ms (1.7%)

localize166.0ms (1.9%)

series28.0ms (0.3%)

rewrite243.0ms (2.8%)

simplify274.0ms (3.2%)

eval249.0ms (2.9%)

prune180.0ms (2.1%)

simplify73.0ms (0.8%)

localize113.0ms (1.3%)

series19.0ms (0.2%)

rewrite251.0ms (2.9%)

simplify455.0ms (5.2%)

eval475.0ms (5.5%)

prune312.0ms (3.6%)

regimes126.0ms (1.4%)

regimes82.0ms (0.9%)

regimes18.0ms (0.2%)

regimes9.0ms (0.1%)

regimes45.0ms (0.5%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes28.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch12.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch71.0ms (0.8%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch112.0ms (1.3%)

simplify21.0ms (0.2%)

soundness1.2s (13.8%)

preprocess90.0ms (1%)

end0.0ms (0%)

Profiling