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)

sample1.1s (12.4%)

Results

827.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 598.0ms

ival-mult: 434.0ms (72.6% of total)

ival-add: 112.0ms (18.7% of total)

ival-sub: 42.0ms (7% of total)

const: 7.0ms (1.2% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x.re)

(negabs x.im)

explain184.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(+.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))`
24	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
18	-	-	`(-.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

137.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 103.0ms (92.9% of total)

ival-add: 5.0ms (4.5% of total)

ival-sub: 2.0ms (1.8% 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
▶	81.4%	(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
▶	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
▶	86.2%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	79.0%	(+.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))

Compiler

Compiled 65 to 37 computations (43.1% saved)

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

localize113.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal 2 binary64))
✓	accuracy	93.4%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.5%	(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
✓	accuracy	91.1%	(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re x.im))
✓	accuracy	99.7%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	accuracy	87.1%	(-.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	99.6%	(.f64 x.im (.f64 x.re #s(literal 3 binary64)))
✓	accuracy	87.1%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	93.4%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	91.1%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	90.1%	(+.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))

Results

78.0ms

256×

valid

Compiler

Compiled 181 to 26 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 26.0ms (57.5% of total)

ival-pow: 10.0ms (22.1% of total)

ival-sub: 4.0ms (8.9% of total)

ival-fma: 3.0ms (6.6% of total)

ival-add: 2.0ms (4.4% of total)

const: 0.0ms (0% 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 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))>
#<alt (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)>
#<alt (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))>

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

Calls

99 calls:

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

rewrite496.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

18 → 493

Calls

Call 1

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

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

simplify141.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	763	7375
1	2495	7375

Stop Event

1×

unsound

Counts

889 → 436

Calls

Call 1

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

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

eval59.0ms (0.6%)

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

prune89.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	526	9	535
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	528	11	539

Accuracy

100.0%

Counts

539 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(-.f64 (.f64 (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
	85.8%	(-.f64 (.f64 (.f64 x.re (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.2%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
	79.0%	(+.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))
▶	50.9%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
▶	81.4%	(+.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))
▶	43.9%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
	62.3%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
	2.6%	#s(literal 10 binary64)
▶	2.6%	#s(literal 1/10 binary64)

Compiler

Compiled 240 to 154 computations (35.8% saved)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x.im)
✓	cost-diff	0	(pow.f64 x.re #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
✓	cost-diff	128	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
	cost-diff	0	(*.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	(*.f64 x.re (sqrt.f64 x.im))
✓	cost-diff	6400	(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
✓	cost-diff	6400	(.f64 (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
✓	cost-diff	6400	(-.f64 (.f64 (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))

Rules

917×	`fma-neg`
599×	`associate-+l-`
485×	`cancel-sign-sub-inv`
393×	`distribute-rgt-out`
377×	`associate-+r-`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	578
1	88	562
2	208	533
3	480	532
4	1529	530
5	4276	530

Stop Event

1×	node limit

Calls

Call 1

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

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

localize250.0ms (2.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.re #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x.im)
✓	accuracy	84.9%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
✓	accuracy	100.0%	(*.f64 x.im x.re)
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	91.1%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
✓	accuracy	90.1%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	93.4%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	91.1%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	99.7%	(.f64 (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64))
✓	accuracy	99.6%	(*.f64 x.re (sqrt.f64 x.im))
✓	accuracy	99.5%	(pow.f64 (*.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64))
✓	accuracy	87.1%	(-.f64 (.f64 (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))

Results

206.0ms

256×

valid

Compiler

Compiled 167 to 31 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 142.0ms (83.9% of total)

ival-pow: 11.0ms (6.5% of total)

ival-add: 6.0ms (3.5% of total)

ival-sub: 4.0ms (2.4% of total)

...c/correct-round.rkt:119:19: 4.0ms (2.4% of total)

ival-sqrt: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

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

series42.0ms (0.5%)

Counts

14 → 225

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
16.0ms	x.im	@	inf	(+ x.re x.im)
1.0ms	x.im	@	-inf	(- (* (pow (* x.re (sqrt x.im)) 2) 3) (pow x.im 3))
1.0ms	x.im	@	-inf	(* (pow (* x.re (sqrt x.im)) 2) 3)
1.0ms	x.im	@	-inf	(* x.re (sqrt x.im))
1.0ms	x.re	@	-inf	(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite236.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

411×	`log1p-expm1-u`
255×	`associate-r`
234×	`expm1-log1p-u`
228×	`add-cube-cbrt`
226×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	338
1	537	290
2	7732	290

Stop Event

1×	node limit

Counts

14 → 380

Calls

Call 1

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

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

simplify287.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

177×	`*-commutative`
87×	`+-commutative`
48×	`sub-neg`
45×	`fma-undefine`
43×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	872	22186
1	2271	22186

Stop Event

1×

unsound

Counts

605 → 538

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

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

eval99.0ms (1.1%)

Compiler: Compiled 15665 to 2774 computations (82.3% saved)

prune175.0ms (1.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	768	5	773
Fresh	1	3	4
Picked	3	2	5
Done	0	2	2
Total	772	12	784

Accuracy

100.0%

Counts

784 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.3%	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
✓	86.0%	(-.f64 (.f64 (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
▶	85.8%	(-.f64 (.f64 (.f64 x.re (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.2%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	79.0%	(+.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))
▶	58.0%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
	70.2%	(+.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))
	43.9%	(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
▶	43.9%	(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
▶	2.6%	#s(literal 10 binary64)
✓	2.6%	#s(literal 1/10 binary64)

Compiler

Compiled 235 to 151 computations (35.7% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(pow.f64 x.re #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal 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	192	(-.f64 (.f64 (.f64 x.re (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	6528	(.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 3 binary64)))
✓	cost-diff	6528	(.f64 (.f64 x.re (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))) #s(literal 3 binary64))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))

Rules

637×	`fma-neg`
613×	`unsub-neg`
569×	`associate-+l-`
487×	`distribute-lft-neg-in`
347×	`distribute-lft-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	559
1	87	541
2	213	535
3	501	534
4	1387	532
5	3169	532
6	7109	532

Stop Event

1×	node limit

Calls

Call 1

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

localize222.0ms (2.4%)

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	85.0%	(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	accuracy	93.4%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	91.1%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	90.1%	(+.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))
✓	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	91.1%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
✓	accuracy	99.7%	(.f64 (.f64 x.re (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))) #s(literal 3 binary64))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))
✓	accuracy	87.1%	(-.f64 (.f64 (.f64 x.re (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	77.2%	(cbrt.f64 (*.f64 x.re x.im))

Results

78.0ms

256×

valid

Compiler

Compiled 167 to 29 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 22.0ms (50.8% of total)

ival-pow: 12.0ms (27.7% of total)

ival-sub: 4.0ms (9.2% of total)

ival-add: 4.0ms (9.2% of total)

ival-cbrt: 2.0ms (4.6% of total)

const: 1.0ms (2.3% of total)

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

series100.0ms (1.1%)

Counts

12 → 264

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
68.0ms	x.re	@	-inf	(pow (cbrt (* x.re x.im)) 3)
2.0ms	x.im	@	-inf	(pow (cbrt (* x.re x.im)) 3)
2.0ms	x.re	@	inf	(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) -3)
2.0ms	x.re	@	0	(cbrt (* x.re x.im))
2.0ms	x.re	@	inf	(cbrt (* x.re x.im))

rewrite239.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`log1p-expm1-u`
265×	`associate-r`
232×	`expm1-log1p-u`
225×	`add-cube-cbrt`
221×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	338
1	583	320
2	7696	320

Stop Event

1×	node limit

Counts

12 → 332

Calls

Call 1

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

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

simplify433.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

495×	`fma-define`
492×	`associate-r`
465×	`associate-l`
289×	`*-commutative`
281×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	870	24186
1	2214	21577

Stop Event

1×	node limit

Counts

596 → 494

Calls

Call 1

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

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

eval193.0ms (2.1%)

Compiler: Compiled 17029 to 3035 computations (82.2% saved)

prune271.0ms (3%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	830	5	835
Fresh	0	3	3
Picked	3	2	5
Done	0	4	4
Total	833	14	847

Accuracy

100.0%

Counts

847 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
✓	86.0%	(-.f64 (.f64 (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.2%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
	18.6%	(+.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) x.im) #s(literal -3 binary64))
▶	79.0%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) x.re))
✓	79.0%	(+.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))
▶	70.2%	(+.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))
	49.9%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
▶	43.9%	(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
	43.9%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	2.6%	#s(literal 10 binary64)
✓	2.6%	#s(literal 1/10 binary64)
▶	2.8%	#s(literal -3 binary64)

Compiler

Compiled 285 to 167 computations (41.4% saved)

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x.im)
✓	cost-diff	0	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 (-.f64 x.re x.im) x.im)
✓	cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
	cost-diff	0	(*.f64 #s(literal 2 binary64) x.im)
	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	128	(+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))
✓	cost-diff	128	(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	6912	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) x.re))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	12864	(.f64 (pow.f64 (sqrt.f64 (.f64 x.im (*.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) x.re)

Rules

1103×	`unsub-neg`
569×	`sub-neg`
301×	`associate-+l-`
292×	`fma-define`
279×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	647
1	83	579
2	196	549
3	519	541
4	1449	541
5	3028	541
6	5946	541
7	7564	541

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

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

localize201.0ms (2.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
✓	accuracy	100.0%	(neg.f64 x.im)
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
✓	accuracy	99.8%	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	90.2%	(+.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 (*.f64 #s(literal 2 binary64) x.im))
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x.im)
✓	accuracy	84.9%	(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
	accuracy	93.4%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	91.1%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	90.1%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) x.re))
✓	accuracy	78.0%	(sqrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64))))

Results

166.0ms

256×

valid

Compiler

Compiled 168 to 29 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 54.0ms (70.5% of total)

ival-pow: 11.0ms (14.4% of total)

ival-add: 5.0ms (6.5% of total)

ival-sub: 3.0ms (3.9% of total)

ival-sqrt: 2.0ms (2.6% of total)

const: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

series39.0ms (0.4%)

Counts

10 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
10.0ms	x.re	@	0	(* (* (- x.re x.im) x.im) x.im)
1.0ms	x.im	@	0	(* (pow (sqrt (* x.im (* x.re 2))) 2) x.re)
1.0ms	x.im	@	-inf	(* (pow (sqrt (* x.im (* x.re 2))) 2) x.re)
1.0ms	x.re	@	-inf	(* (pow (sqrt (* x.im (* x.re 2))) 2) x.re)
1.0ms	x.re	@	0	(* (pow (sqrt (* x.im (* x.re 2))) 2) x.re)

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`associate-r`
255×	`log1p-expm1-u`
255×	`expm1-log1p-u`
245×	`add-exp-log`
242×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	272
1	609	144

Stop Event

1×	node limit

Counts

10 → 273

Calls

Call 1

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

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

simplify237.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

656×	`fma-neg`
547×	`times-frac`
481×	`cancel-sign-sub-inv`
418×	`fma-define`
303×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	604	16051
1	1520	14185
2	5732	13966

Stop Event

1×	node limit

Counts

489 → 370

Calls

Call 1

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

Outputs
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 x.im (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 x.im x.re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im #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 (.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 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.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 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.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 x.im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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)))
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eval135.0ms (1.5%)

Compiler: Compiled 11983 to 2061 computations (82.8% saved)

prune144.0ms (1.6%)

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	669	5	674
Fresh	0	3	3
Picked	2	3	5
Done	1	5	6
Total	672	16	688

Accuracy

100.0%

Counts

688 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	62.3%	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
✓	86.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	86.2%	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
	18.6%	(+.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) x.im) #s(literal -3 binary64))
✓	79.0%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) x.re))
✓	79.0%	(+.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))
	71.3%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
	70.2%	(+.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))
	49.9%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
	31.8%	(.f64 (+.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)))
	43.9%	(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
	43.9%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
✓	2.6%	#s(literal 10 binary64)
✓	2.6%	#s(literal 1/10 binary64)
✓	2.8%	#s(literal -3 binary64)

Compiler

Compiled 501 to 203 computations (59.5% saved)

regimes30.0ms (0.3%)

Counts

28 → 2

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(.f64 (+.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) x.im) #s(literal -3 binary64))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) x.re))
(-.f64 (.f64 (pow.f64 (.f64 x.re (sqrt.f64 x.im)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(-.f64 (.f64 (.f64 x.re (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))) #s(literal 3 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:

10.0ms	x.re
9.0ms	(+.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))
8.0ms	x.im

Results

Accuracy	Segments	Branch
92.4%	2	`x.re`
99.9%	2	`x.im`
98.3%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes30.0ms (0.3%)

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(.f64 (+.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) x.im) #s(literal -3 binary64))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))

Outputs

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

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

Calls

3 calls:

16.0ms	x.re
7.0ms	x.im
6.0ms	(+.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
87.1%	2	`x.re`
91.1%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
91.1%	2	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes10.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(.f64 (+.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 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) x.im) x.im) #s(literal -3 binary64))

Calls

2 calls:

5.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
78.3%	2	`x.re`
87.5%	3	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.re x.re) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
(.f64 (+.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))

Outputs

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

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))

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

Calls

1 calls:

32.0ms

x.im

Results

Accuracy	Segments	Branch
87.3%	3	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

x.im

Results

Accuracy	Segments	Branch
84.7%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

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

Outputs
(.f64 (.f64 x.re x.re) (*.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:

3.0ms

x.im

Results

Accuracy	Segments	Branch
83.5%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes145.0ms (1.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

2 calls:

141.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
43.9%	1	`x.re`
43.9%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1/10 binary64)
#s(literal 10 binary64)
(.f64 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:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
43.9%	1	`x.re`
43.9%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.9b remaining (-1.5%)

Threshold costs -0.9b (-1.5%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal -3 binary64)

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	6.791147586732032e+75	1.7379784452832773e+77

Results

1.0ms

16×

valid

Compiler

Compiled 52 to 32 computations (38.5% saved)

Precisions

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

ival-mult: 1.0ms (108.5% 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)

bsearch37.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	2.6671579268791978e+54	2.2336263562319878e+55

Results

33.0ms

96×

valid

Compiler

Compiled 218 to 135 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 29.0ms (96.3% of total)

ival-add: 1.0ms (3.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.6671579268791978e+54	2.2336263562319878e+55
31.0ms	2.656619308641132e-109	1.3921169612440262e-104

Results

35.0ms

224×

valid

Compiler

Compiled 430 to 273 computations (36.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 25.0ms (87.4% of total)

ival-add: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.4082350633072074e-5	0.0034469599898970665
24.0ms	2.656619308641132e-109	1.3921169612440262e-104

Results

29.0ms

240×

valid

Compiler

Compiled 414 to 269 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-add: 11.0ms (49.5% of total)

ival-mult: 10.0ms (45% of total)

ival-sub: 1.0ms (4.5% of total)

const: 0.0ms (0% of total)

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

bsearch49.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	0.0034469599898970665	1115184.8666028373

Results

43.0ms

144×

valid

Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions

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

ival-mult: 36.0ms (93.6% of total)

ival-sub: 1.0ms (2.6% of total)

ival-add: 1.0ms (2.6% 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	1115184.8666028373	15909082.742698519

Results

8.0ms

96×

valid

Compiler

Compiled 158 to 105 computations (33.5% saved)

Precisions

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

ival-mult: 4.0ms (77.1% of total)

ival-add: 1.0ms (19.3% of total)

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

const: 0.0ms (0% of total)

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

simplify218.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
12×	`+-commutative`
6×	`sub-neg`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	725
1	94	725
2	105	725
3	111	725
4	114	725

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 10000000000000000470601344959054695891559601407866630764278709534898249531392 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 22000000000000001041849155059240437603968711733958148096 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 6584737189121617/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 22000000000000001041849155059240437603968711733958148096 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 7839866231326559/2305843009213693952 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #s(literal 0 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 135 binary64)) (.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 4200000 binary64)) (.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
#s(literal -3 binary64)

Outputs
(if (<=.f64 x.im #s(literal 10000000000000000470601344959054695891559601407866630764278709534898249531392 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 10000000000000000470601344959054695891559601407866630764278709534898249531392 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 22000000000000001041849155059240437603968711733958148096 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 22000000000000001041849155059240437603968711733958148096 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 6584737189121617/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 22000000000000001041849155059240437603968711733958148096 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 6584737189121617/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 22000000000000001041849155059240437603968711733958148096 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 (.f64 x.im (.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 7839866231326559/2305843009213693952 binary64)) (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) #s(literal 0 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 6455624695217271/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (.f64 x.im (.f64 #s(literal 3 binary64) (.f64 x.re x.re))) (if (<=.f64 x.im #s(literal 7839866231326559/2305843009213693952 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 x.im) (+.f64 x.im x.re))))))
(if (<=.f64 x.im #s(literal 135 binary64)) (.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 135 binary64)) (.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 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 4200000 binary64)) (.f64 (.f64 x.re x.re) (.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 4200000 binary64)) (.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64))) (+.f64 (.f64 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(.f64 (.f64 x.re x.re) (*.f64 x.im #s(literal 3 binary64)))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
#s(literal -3 binary64)

soundness2.3s (24.7%)

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	338
1	583	320
2	7696	320
0	30	338
1	537	290
2	7732	290
0	872	22186
1	2271	22186
0	31	520
1	560	436
2	6640	436
0	33	272
1	609	144
0	763	7375
1	2495	7375
0	42	563
1	136	491
2	368	483
3	1517	309
4	4607	301
5	6832	301
6	7668	301

Stop Event

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

Compiler

Compiled 1161 to 307 computations (73.6% saved)

preprocess63.0ms (0.7%)

Compiler: Compiled 662 to 278 computations (58% saved)

analyze0.0ms (0%)

sample1.1s (12.4%)

preprocess130.0ms (1.4%)

explain184.0ms (2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify90.0ms (1%)

localize113.0ms (1.2%)

series46.0ms (0.5%)

rewrite496.0ms (5.4%)

simplify141.0ms (1.5%)

eval59.0ms (0.6%)

prune89.0ms (1%)

simplify64.0ms (0.7%)

localize250.0ms (2.7%)

series42.0ms (0.5%)

rewrite236.0ms (2.6%)

simplify287.0ms (3.1%)

eval99.0ms (1.1%)

prune175.0ms (1.9%)

simplify83.0ms (0.9%)

localize222.0ms (2.4%)

series100.0ms (1.1%)

rewrite239.0ms (2.6%)

simplify433.0ms (4.7%)

eval193.0ms (2.1%)

prune271.0ms (3%)

simplify100.0ms (1.1%)

localize201.0ms (2.2%)

series39.0ms (0.4%)

rewrite103.0ms (1.1%)

simplify237.0ms (2.6%)

eval135.0ms (1.5%)

prune144.0ms (1.6%)

regimes30.0ms (0.3%)

regimes30.0ms (0.3%)

regimes10.0ms (0.1%)

regimes33.0ms (0.4%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes145.0ms (1.6%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch2.0ms (0%)

bsearch37.0ms (0.4%)

bsearch45.0ms (0.5%)

bsearch40.0ms (0.4%)

bsearch49.0ms (0.5%)

bsearch12.0ms (0.1%)

simplify218.0ms (2.4%)

soundness2.3s (24.7%)

preprocess63.0ms (0.7%)

end0.0ms (0%)

Profiling