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 21 to 13 computations (38.1% saved)

sample1.2s (13.2%)

Samples

843.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 611.0ms

ival-mult: 413.0ms (67.6% of total)

ival-add: 146.0ms (23.9% of total)

ival-sub: 41.0ms (6.7% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

preprocess133.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

897×	`unsub-neg`
580×	`fma-define`
421×	`sub-neg`
400×	`distribute-lft-out`
384×	`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	4574	301
5	6808	301
6	7659	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.re (*.f64 x.im #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.re (*.f64 x.im #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.re (*.f64 x.im #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 (.f64 x.re x.re) (*.f64 x.im #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 (.f64 x.re x.re) (*.f64 x.im #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.re (*.f64 x.im #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)

explain412.0ms (4.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
14	-	-	`(+.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))`
12	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
12	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	14	0
↳	`(*.f64 x.re x.re)`	overflow	56
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	107
↳	`(*.f64 x.im x.im)`	overflow	63
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	116
↳	`(*.f64 x.im x.re)`	overflow	24
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	57
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	24
↳	`(*.f64 x.re x.im)`	overflow	24
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	12	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	12	0
↳	`(*.f64 x.re x.re)`	overflow	56
↳	`(*.f64 x.im x.im)`	overflow	63

Confusion

	Predicted +	Predicted -
+	34	0
-	0	222

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	34	0	0
-	0	0	222

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	222
1	30
2	4

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

294.0ms

512×

valid

Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-mult: 248.0ms (95.9% of total)

ival-sub: 5.0ms (1.9% of total)

ival-add: 4.0ms (1.5% of total)

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

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

eval98.0ms (1.1%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.4%	(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))))
▶	88.9%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
▶	89.0%	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	86.8%	(+.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)

simplify88.0ms (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.im #s(literal 3 binary64))
✓	cost-diff	0	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
✓	cost-diff	0	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im #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×	`fmm-def`
652×	`sub-neg`
429×	`associate-+l-`
340×	`distribute-lft-neg-in`
323×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	803
1	70	747
2	135	729
3	264	637
4	611	637
5	1692	637
6	2882	637
7	6492	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.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
x.re
(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
(*.f64 x.im #s(literal 3 binary64))
x.im
#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.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)))
(-.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.re (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(.f64 x.re (.f64 x.im (*.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 x.re (.f64 x.im #s(literal 2 binary64)))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(-.f64 (.f64 x.re (.f64 x.re (*.f64 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 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(.f64 x.re (.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
x.re
(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.re x.im) #s(literal 3 binary64))
(*.f64 x.im #s(literal 3 binary64))
x.im
#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.re (*.f64 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 (*.f64 x.im #s(literal 3 binary64))))
(.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(.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.re (*.f64 x.im #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 (.f64 x.re #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)

localize108.0ms (1.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal 2 binary64))
✓	accuracy	96.0%	(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))
✓	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	95.4%	(.f64 x.im (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	99.9%	(.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	90.2%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
✓	accuracy	99.7%	(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
✓	accuracy	90.2%	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	99.9%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	95.4%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	94.4%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

70.0ms

256×

valid

Compiler

Compiled 180 to 27 computations (85% saved)

Precisions

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

ival-mult: 21.0ms (66.2% of total)

ival-sub: 3.0ms (9.5% of total)

ival-pow: 3.0ms (9.5% of total)

ival-add: 2.0ms (6.3% of total)

ival-fma: 2.0ms (6.3% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series38.0ms (0.4%)

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.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64))))>
#<alt (.f64 x.re (.f64 x.im #s(literal 3 binary64)))>
#<alt (*.f64 x.im #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))))>
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#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 binary64) x.im)>
#<alt (*.f64 #s(literal 2 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 (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 -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
2.0ms	x.im	@	0	(* x.re (* x.im 3))
1.0ms	x.im	@	0	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms	x.re	@	-inf	(+ (* x.re x.im) (* x.im x.re))
1.0ms	x.re	@	0	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms	x.im	@	-inf	(+ (* x.re (* x.re (* x.im 2))) (* x.im (- (* x.re x.re) (* x.im x.im))))

rewrite508.0ms (5.6%)

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	558	436
2	6639	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.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(.f64 x.re (.f64 x.im #s(literal 3 binary64)))
(*.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))
(*.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)))
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(sqrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.im (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (cbrt.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.re)) (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.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)))

simplify536.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

133×	`*-commutative`
58×	`+-commutative`
37×	`sub-neg`
35×	`fma-undefine`
33×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	758	7345
1	2505	7345

Stop Event

1×

unsound

Counts

889 → 433

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

eval160.0ms (1.8%)

Compiler: Compiled 11 056 to 1 684 computations (84.8% saved)

prune165.0ms (1.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	524	8	532
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	525	11	536

Accuracy

100.0%

Counts

536 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.4%	(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))))
▶	88.8%	(-.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	88.9%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	89.0%	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	86.8%	(+.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))
	52.5%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal -3 binary64))
▶	89.9%	(+.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))
	49.0%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
▶	49.0%	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
	58.8%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
▶	2.7%	#s(literal 10 binary64)

Compiler

Compiled 238 to 152 computations (36.1% saved)

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64))))
✓	cost-diff	64	(-.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	6400	(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 x.re #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
	cost-diff	-6336	(*.f64 x.re x.re)
	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	0	(*.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))

Rules

799×	`fma-define`
458×	`sub-neg`
399×	`fmm-def`
393×	`distribute-lft-out`
339×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	740
1	86	669
2	198	648
3	400	594
4	1077	594
5	3170	594
6	6057	594

Stop Event

1×	node limit

Calls

Call 1

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

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

localize131.0ms (1.4%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))
✓	accuracy	99.7%	(.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64))))
✓	accuracy	99.6%	(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	accuracy	90.2%	(-.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	100.0%	(pow.f64 x.re #s(literal 2 binary64))
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
✓	accuracy	91.3%	(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	95.4%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	94.4%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	99.9%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	95.4%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
✓	accuracy	94.4%	(+.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))

Samples

75.0ms

256×

valid

Compiler

Compiled 184 to 32 computations (82.6% saved)

Precisions

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

ival-mult: 21.0ms (53.3% of total)

ival-pow: 8.0ms (20.3% of total)

ival-sub: 4.0ms (10.1% of total)

ival-add: 4.0ms (10.1% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Counts

15 → 261

Calls

Call 1

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

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

81 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	-inf	(pow (* x.re (sqrt (* x.im 3))) 2)
2.0ms	x.re	@	-inf	(* x.re (sqrt (* x.im 3)))
1.0ms	x.re	@	0	(pow (* x.re (sqrt (* x.im 3))) 2)
1.0ms	x.im	@	0	(pow (* x.re (sqrt (* x.im 3))) 2)
1.0ms	x.re	@	0	(* x.re (sqrt (* x.im 3)))

rewrite198.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

285×	`associate-r`
264×	`log1p-expm1-u`
264×	`expm1-log1p-u`
248×	`add-exp-log`
244×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	419
1	653	351

Stop Event

1×	node limit

Counts

15 → 433

Calls

Call 1

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

simplify253.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

218×	`*-commutative`
100×	`+-commutative`
57×	`associate-r`
48×	`fma-define`
47×	`fma-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	985	800
1	3544	800

Stop Event

1×

unsound

Counts

694 → 441

Calls

Call 1

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

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

eval161.0ms (1.8%)

Compiler: Compiled 14 789 to 2 437 computations (83.5% saved)

prune195.0ms (2.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	684	6	690
Fresh	1	2	3
Picked	4	1	5
Done	0	3	3
Total	689	12	701

Accuracy

100.0%

Counts

701 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.4%	(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))))
▶	53.3%	(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	88.9%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	89.0%	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
▶	89.9%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	57.2%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64))
	87.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	74.0%	(+.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))
	49.0%	(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (.f64 #s(literal 2 binary64) x.im)))
▶	49.0%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
▶	58.8%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
✓	2.7%	#s(literal 10 binary64)

Compiler

Compiled 273 to 169 computations (38.1% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
	cost-diff	0	(sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))
	cost-diff	0	(.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64))))
	cost-diff	12736	(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(pow.f64 x.im #s(literal 3 binary64))
✓	cost-diff	64	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
✓	cost-diff	0	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	cost-diff	384	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 x.im (.f64 x.re x.re))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
	cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	cost-diff	0	(+.f64 x.re x.im)
	cost-diff	0	(-.f64 x.re x.im)
✓	cost-diff	0	(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))

Rules

768×	`fma-define`
702×	`associate-+l-`
668×	`sub-neg`
459×	`distribute-lft-out`
322×	`fmm-def`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	34	637
1	79	629
2	191	619
3	372	611
4	970	591
5	2814	589
6	6468	586

Stop Event

1×	node limit

Calls

Call 1

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

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

localize113.0ms (1.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
	accuracy	99.8%	(sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))
	accuracy	99.7%	(.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64))))
	accuracy	99.6%	(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 x.im #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
	accuracy	99.9%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	99.8%	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
✓	accuracy	94.5%	(+.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.re x.re)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
✓	accuracy	91.3%	(.f64 x.im (.f64 x.re x.re))
	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
	accuracy	99.9%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	accuracy	95.4%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
✓	accuracy	94.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))

Samples

79.0ms

256×

valid

Compiler

Compiled 169 to 30 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 27.0ms (65.6% of total)

ival-pow: 6.0ms (14.6% of total)

ival-add: 4.0ms (9.7% of total)

ival-sub: 2.0ms (4.9% of total)

ival-sqrt: 2.0ms (4.9% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Counts

9 → 168

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	-inf	(* (- x.re x.im) x.im)
0.0ms	x.re	@	-inf	(+ (* (* (- x.re x.im) x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.im	@	0	(* -1 (pow x.im 3))
0.0ms	x.re	@	inf	(+ (* (* (- x.re x.im) x.im) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.0ms	x.im	@	inf	(* -1 (pow x.im 3))

rewrite193.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log1p-expm1-u`
267×	`associate-r`
215×	`expm1-log1p-u`
210×	`add-exp-log`
207×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	293
1	504	235
2	7236	235

Stop Event

1×	node limit

Counts

9 → 244

Calls

Call 1

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

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

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

152×	`*-commutative`
86×	`+-commutative`
51×	`fma-define`
45×	`distribute-lft-in`
44×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	17255
1	1796	17255

Stop Event

1×

unsound

Counts

412 → 398

Calls

Call 1

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

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

eval105.0ms (1.2%)

Compiler: Compiled 17 484 to 2 857 computations (83.7% saved)

prune153.0ms (1.7%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	865	6	871
Fresh	3	0	3
Picked	2	3	5
Done	1	3	4
Total	871	12	883

Accuracy

100.0%

Counts

883 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.4%	(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))))
✓	53.3%	(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
✓	88.9%	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
✓	89.9%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
▶	87.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
▶	74.0%	(+.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))
▶	49.3%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
▶	53.4%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	48.6%	(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)
✓	49.0%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
▶	58.8%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	2.7%	#s(literal 10 binary64)

Compiler

Compiled 222 to 144 computations (35.1% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(pow.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
	cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	cost-diff	0	(-.f64 x.re x.im)
	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	-6272	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
	cost-diff	0	(-.f64 x.re x.im)
	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	0	(*.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
	cost-diff	0	(-.f64 x.re x.im)
✓	cost-diff	256	(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
✓	cost-diff	256	(.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))

Rules

655×	`fmm-def`
594×	`times-frac`
429×	`distribute-lft-in`
391×	`distribute-rgt-in`
389×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	726
1	82	726
2	195	712
3	553	648
4	1764	648
5	4125	628

Stop Event

1×	node limit

Calls

Call 1

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

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

localize191.0ms (2.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x.im #s(literal 3 binary64))
✓	accuracy	100.0%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
	accuracy	99.9%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
	accuracy	99.8%	(.f64 (.f64 (-.f64 x.re x.im) x.im) x.im)
✓	accuracy	94.5%	(+.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))
	accuracy	100.0%	(-.f64 x.re x.im)
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
	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	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
✓	accuracy	99.7%	(.f64 (.f64 x.im #s(literal 3 binary64)) x.re)
	accuracy	99.9%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
✓	accuracy	95.4%	(.f64 (.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im)
✓	accuracy	94.4%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
✓	accuracy	85.7%	(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))

Samples

151.0ms

256×

valid

Compiler

Compiled 186 to 27 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-pow: 80.0ms (65.6% of total)

ival-add: 21.0ms (17.2% of total)

ival-mult: 15.0ms (12.3% of total)

ival-div: 2.0ms (1.6% of total)

ival-sub: 2.0ms (1.6% of total)

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

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series29.0ms (0.3%)

Counts

10 → 216

Calls

Call 1

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

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

57 calls:

Time	Variable		Point	Expression
13.0ms	x.re	@	-inf	(* x.re (+ 1 (/ x.im x.re)))
1.0ms	x.im	@	inf	(* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re))))
1.0ms	x.im	@	0	(* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re))))
1.0ms	x.im	@	-inf	(* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re))))
0.0ms	x.re	@	inf	(+ (* (* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re)))) x.im) (* (* (* x.re x.im) 2) x.re))

rewrite331.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`log1p-expm1-u`
290×	`associate-r`
234×	`add-cube-cbrt`
233×	`expm1-log1p-u`
230×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	386
1	518	367
2	7613	367

Stop Event

1×	node limit

Counts

10 → 292

Calls

Call 1

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

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

simplify656.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

880×	`fmm-def`
568×	`associate-l`
567×	`associate-r`
486×	`fma-define`
346×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	805	23997
1	2038	22220
2	7834	22191

Stop Event

1×	node limit

Counts

508 → 542

Calls

Call 1

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

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

eval164.0ms (1.8%)

Compiler: Compiled 19 405 to 2 716 computations (86% saved)

prune429.0ms (4.7%)

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	904	8	912
Fresh	0	1	1
Picked	2	3	5
Done	1	5	6
Total	907	17	924

Accuracy

100.0%

Counts

924 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.4%	(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))))
✓	53.3%	(pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
	90.7%	(+.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
✓	89.9%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	71.5%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (/.f64 x.im x.re))) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
✓	49.3%	(+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))
	46.8%	(+.f64 (.f64 (.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)))) x.im) x.im) #s(literal -3 binary64))
	68.7%	(+.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) x.im) x.im) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	45.2%	(+.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re))
	24.1%	(+.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) x.im) #s(literal -3 binary64))
✓	53.4%	(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
	53.4%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
	48.6%	(.f64 (.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) x.im)
✓	49.0%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
✓	58.8%	(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
✓	2.7%	#s(literal 10 binary64)
	2.7%	#s(literal -3 binary64)

Compiler

Compiled 592 to 232 computations (60.8% saved)

regimes32.0ms (0.4%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	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))
9.0ms	x.im

Results

Accuracy	Segments	Branch
95.9%	2	`x.re`
99.9%	2	`x.im`
99.9%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes13.0ms (0.1%)

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

11.0ms

x.im

Results

Accuracy	Segments	Branch
99.2%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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))
6.0ms	x.im

Results

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes12.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

Outputs

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

(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) 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:

6.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
89.4%	2	`x.re`
93.8%	3	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

x.im

Results

Accuracy	Segments	Branch
89.6%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
69.1%	2	`x.re`
87.3%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

x.im

Results

Accuracy	Segments	Branch
71.9%	2	`x.im`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
53.4%	1	`x.re`
53.4%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
53.4%	1	`x.re`
53.4%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
49.0%	1	`x.re`
49.0%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.9b remaining (-1.4%)

Threshold costs -0.9b (-1.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal -3 binary64)

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
2.7%	1	`x.re`
2.7%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	5.795323002099552e+81	1.5428812338969062e+82

Samples

7.0ms

80×

valid

Compiler

Compiled 154 to 101 computations (34.4% saved)

Precisions

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

ival-mult: 3.0ms (66.5% of total)

ival-add: 1.0ms (22.2% of total)

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

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

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3082469.5337941	32685483.646369357

Samples

8.0ms

96×

valid

Compiler

Compiled 252 to 160 computations (36.5% saved)

Precisions

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

ival-mult: 3.0ms (63.1% of total)

ival-add: 1.0ms (21% of total)

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

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

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.0324948090150092e+77	2.098292011655792e+78
15.0ms	5.016523779009832e-142	6.01307089276447e-139

Samples

17.0ms

224×

valid

Compiler

Compiled 456 to 288 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (72.5% of total)

ival-add: 2.0ms (18.1% of total)

ival-sub: 1.0ms (9.1% of total)

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

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

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.0324948090150092e+77	2.098292011655792e+78
10.0ms	3.5567748020116265e-87	2.645154541121516e-86

Samples

16.0ms

192×

valid

Compiler

Compiled 372 to 250 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (75.9% of total)

ival-add: 2.0ms (19% of total)

ival-sub: 1.0ms (9.5% of total)

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

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

bsearch116.0ms (1.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
114.0ms	3.776358476322812e-7	4.962803520820718e-5

Samples

111.0ms

112×

valid

Compiler

Compiled 192 to 128 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-add: 103.0ms (95.8% of total)

ival-mult: 4.0ms (3.7% of total)

ival-sub: 1.0ms (0.9% of total)

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

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	32685483.646369357	1851948297.943269

Samples

10.0ms

112×

valid

Compiler

Compiled 178 to 121 computations (32% saved)

Precisions

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

ival-mult: 5.0ms (77.9% of total)

ival-add: 1.0ms (15.6% of total)

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

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

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1351026423551885e+145	3.4757059429142493e+146

Samples

10.0ms

112×

valid

Compiler

Compiled 164 to 114 computations (30.5% saved)

Precisions

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

ival-mult: 4.0ms (56.2% of total)

ival-add: 3.0ms (42.2% of total)

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

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

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative`
14×	`+-commutative`
6×	`sub-neg`
5×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	861
1	121	861
2	128	861
3	137	857
4	149	857
5	152	857
6	153	857

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 14999999999999999451101948446329861316540714837910351690520545765140629752314331136 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 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 25000000 binary64)) (+.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 4022342378982779/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) x.re) (if (<=.f64 x.im #s(literal 2049999999999999842577064723685749122139707698708968108169062436972873176317952 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 4199521391583383/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) x.re) (if (<=.f64 x.im #s(literal 2049999999999999842577064723685749122139707698708968108169062436972873176317952 binary64)) (+.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) 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 2582544170319337/73786976294838206464 binary64)) (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) x.re) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 75000000 binary64)) (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) x.re) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 339999999999999990744261413686282949153855044567478797263246375049027131228789615831797219808308176004137591354633276357074691968990303803880243200 binary64)) (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) x.re) (+.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) #s(literal -3 binary64)))
(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
#s(literal -3 binary64)

Outputs
(if (<=.f64 x.im #s(literal 14999999999999999451101948446329861316540714837910351690520545765140629752314331136 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 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 14999999999999999451101948446329861316540714837910351690520545765140629752314331136 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 x.im (*.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 25000000 binary64)) (+.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 25000000 binary64)) (+.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))) (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64)))) (+.f64 #s(literal -3 binary64) (.f64 x.im (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))))
(if (<=.f64 x.im #s(literal 4022342378982779/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) x.re) (if (<=.f64 x.im #s(literal 2049999999999999842577064723685749122139707698708968108169062436972873176317952 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.re)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 4022342378982779/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042048 binary64)) (.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64)))) (if (<=.f64 x.im #s(literal 2049999999999999842577064723685749122139707698708968108169062436972873176317952 binary64)) (+.f64 (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 x.im (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (+.f64 (.f64 x.im (.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 4199521391583383/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) x.re) (if (<=.f64 x.im #s(literal 2049999999999999842577064723685749122139707698708968108169062436972873176317952 binary64)) (+.f64 (.f64 (.f64 (.f64 #s(literal -1 binary64) 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 4199521391583383/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64)))) (if (<=.f64 x.im #s(literal 2049999999999999842577064723685749122139707698708968108169062436972873176317952 binary64)) (+.f64 (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 x.im (.f64 x.im (neg.f64 x.im)))) (+.f64 (.f64 x.im (.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 4199521391583383/279968092772225526319680285071055534765205687154331191862498637620473983897520118172609686658950889472 binary64)) (.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64)))) (if (<=.f64 x.im #s(literal 2049999999999999842577064723685749122139707698708968108169062436972873176317952 binary64)) (-.f64 (.f64 x.re (.f64 (.f64 x.im x.re) #s(literal 2 binary64))) (.f64 x.im (.f64 x.im x.im))) (+.f64 (.f64 x.im (.f64 x.im (-.f64 x.re x.im))) #s(literal -3 binary64))))
(if (<=.f64 x.im #s(literal 2582544170319337/73786976294838206464 binary64)) (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) x.re) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 2582544170319337/73786976294838206464 binary64)) (.f64 x.re (.f64 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 75000000 binary64)) (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) x.re) (+.f64 (.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 75000000 binary64)) (.f64 x.re (.f64 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)))
(if (<=.f64 x.im #s(literal 339999999999999990744261413686282949153855044567478797263246375049027131228789615831797219808308176004137591354633276357074691968990303803880243200 binary64)) (.f64 (.f64 (.f64 x.im #s(literal 3 binary64)) x.re) x.re) (+.f64 (.f64 (*.f64 #s(literal -3 binary64) x.im) x.im) #s(literal -3 binary64)))
(if (<=.f64 x.im #s(literal 339999999999999990744261413686282949153855044567478797263246375049027131228789615831797219808308176004137591354633276357074691968990303803880243200 binary64)) (.f64 x.re (.f64 x.re (.f64 x.im #s(literal 3 binary64)))) (+.f64 #s(literal -3 binary64) (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(.f64 (.f64 (*.f64 x.im #s(literal 3 binary64)) x.re) x.re)
(.f64 x.re (.f64 x.re (*.f64 x.im #s(literal 3 binary64))))
(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 x.re (.f64 x.im (*.f64 x.re #s(literal 3 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
#s(literal -3 binary64)

soundness1.4s (15.2%)

Rules

910×	`log1p-expm1-u`
897×	`unsub-neg`
880×	`fmm-def`
580×	`fma-define`
568×	`associate-l`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	985	800
1	3544	800
0	805	23997
1	2038	22220
2	7834	22191
0	42	563
1	136	491
2	368	483
3	1517	309
4	4574	301
5	6808	301
6	7659	301
0	31	386
1	518	367
2	7613	367
0	35	419
1	653	351
0	758	7345
1	2505	7345
0	31	520
1	558	436
2	6639	436

Stop Event

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

Compiler

Compiled 700 to 210 computations (70% saved)

preprocess200.0ms (2.2%)

Compiler: Compiled 940 to 432 computations (54% saved)

analyze0.0ms (0%)

sample1.2s (13.2%)

preprocess133.0ms (1.5%)

explain412.0ms (4.5%)

eval98.0ms (1.1%)

prune2.0ms (0%)

simplify88.0ms (1%)

localize108.0ms (1.2%)

series38.0ms (0.4%)

rewrite508.0ms (5.6%)

simplify536.0ms (5.9%)

eval160.0ms (1.8%)

prune165.0ms (1.8%)

simplify78.0ms (0.9%)

localize131.0ms (1.4%)

series30.0ms (0.3%)

rewrite198.0ms (2.2%)

simplify253.0ms (2.8%)

eval161.0ms (1.8%)

prune195.0ms (2.2%)

simplify70.0ms (0.8%)

localize113.0ms (1.2%)

series18.0ms (0.2%)

rewrite193.0ms (2.1%)

simplify131.0ms (1.4%)

eval105.0ms (1.2%)

prune153.0ms (1.7%)

simplify62.0ms (0.7%)

localize191.0ms (2.1%)

series29.0ms (0.3%)

rewrite331.0ms (3.6%)

simplify656.0ms (7.2%)

eval164.0ms (1.8%)

prune429.0ms (4.7%)

regimes32.0ms (0.4%)

regimes13.0ms (0.1%)

regimes14.0ms (0.2%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch11.0ms (0.1%)

bsearch13.0ms (0.1%)

bsearch31.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch116.0ms (1.3%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

simplify17.0ms (0.2%)

soundness1.4s (15.2%)

preprocess200.0ms (2.2%)

end0.0ms (0%)

Profiling