Metrics for math.cube on complex, real 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 (15%)

Samples

868.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 499.0ms

ival-mult: 376.0ms (75.3% of total)

ival-sub: 72.0ms (14.4% of total)

ival-add: 40.0ms (8% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 4.0ms (0.8% of total)

Bogosity

preprocess126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1 017×	`unsub-neg`
562×	`fma-define`
420×	`sub-neg`
412×	`distribute-lft-out`
373×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	591
1	149	519
2	395	483
3	1507	301
4	4579	301
5	6861	301
6	7620	301

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x.im)

(negabs x.re)

explain161.0ms (2.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
26	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
17	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
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.im)`
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.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	26	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	109
↳	`(*.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.im) (*.f64 x.im x.re)) x.im)`	overflow	65
↳	`(*.f64 x.im x.re)`	overflow	24
↳	`(+.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.re)`	*no**	17	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 -
+	47	0
-	0	209

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	47	0	0
-	0	0	209

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	209
1	39
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms

512×

valid

Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions

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

ival-mult: 20.0ms (70.6% of total)

ival-sub: 4.0ms (14.1% of total)

ival-add: 3.0ms (10.6% of total)

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

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

eval1.0ms (0%)

Compiler: Compiled 75 to 29 computations (61.3% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.9%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
▶	81.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	80.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))

Status

Accuracy

Program

▶

81.9%

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

▶

81.9%

(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

▶

80.0%

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

Compiler

Compiled 52 to 30 computations (42.3% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

579×	`fmm-def`
574×	`fma-define`
518×	`sub-neg`
406×	`cancel-sign-sub-inv`
321×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	532
1	65	504
2	145	504
3	347	501
4	942	501
5	3145	501
6	5862	501
7	7622	501

Stop Event

1×	node limit

Calls

Call 1

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

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

localize86.0ms (1.1%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))
✓	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	85.4%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.7%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	91.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	88.6%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	88.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))

Samples

54.0ms

256×

valid

Compiler

Compiled 147 to 23 computations (84.4% saved)

Precisions

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

ival-mult: 16.0ms (57.8% of total)

ival-pow: 4.0ms (14.4% of total)

ival-sub: 2.0ms (7.2% of total)

ival-add: 2.0ms (7.2% of total)

ival-fma: 2.0ms (7.2% 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)

series29.0ms (0.4%)

Counts

14 → 288

Calls

Call 1

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

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

Calls

75 calls:

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

rewrite342.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1 069×	`log1p-expm1-u`
213×	`associate-r`
193×	`expm1-log1p-u`
187×	`add-cube-cbrt`
186×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	421
1	452	347
2	6267	347

Stop Event

1×	node limit

Counts

14 → 363

Calls

Call 1

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

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

simplify183.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

122×	`*-commutative`
71×	`+-commutative`
50×	`sub-neg`
37×	`fma-undefine`
31×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	810	3166
1	2769	3166

Stop Event

1×

unsound

Counts

651 → 439

Calls

Call 1

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

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

eval62.0ms (0.8%)

Compiler: Compiled 11 505 to 1 548 computations (86.5% saved)

prune468.0ms (6.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	538	9	547
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	539	11	550

Accuracy

99.9%

Counts

550 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.9%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
▶	58.6%	(pow.f64 x.re #s(literal 3 binary64))
	68.2%	(-.f64 (.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	0.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
	81.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	83.5%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	51.1%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	86.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	80.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
	50.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
▶	88.9%	(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))

Compiler

Compiled 333 to 203 computations (39% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 x.re #s(literal -8 binary64))
✓	cost-diff	0	(+.f64 x.im x.re)
✓	cost-diff	0	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64)))
✓	cost-diff	0	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re)
	cost-diff	-6336	(*.f64 x.im x.im)
	cost-diff	-6336	(*.f64 x.re x.re)
✓	cost-diff	0	(*.f64 x.im #s(literal 0 binary64))
✓	cost-diff	128	(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
✓	cost-diff	0	(pow.f64 x.re #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))

Rules

19×	`fma-define`
16×	`*-commutative`
14×	`distribute-lft-in`
12×	`distribute-rgt-in`
10×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	692
1	95	692
2	239	692

Stop Event

1×

unsound

Calls

Call 1

Inputs
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
x.re
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal -3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.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 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 x.im #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64)))
(+.f64 x.im x.re)
x.im
x.re
(+.f64 x.re #s(literal -8 binary64))
#s(literal -8 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(*.f64 x.im (sqrt.f64 x.re))
x.im
(sqrt.f64 x.re)
#s(literal 2 binary64)
#s(literal -3 binary64)

Outputs
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
x.re
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal -3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 x.im #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -8 binary64)))) (.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im))))
(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re)
(.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -8 binary64))))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64)))
(*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -8 binary64)))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(+.f64 x.re #s(literal -8 binary64))
#s(literal -8 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im)))
(+.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 x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
(.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(*.f64 x.im (sqrt.f64 x.re))
x.im
(sqrt.f64 x.re)
#s(literal 2 binary64)
#s(literal -3 binary64)

localize124.0ms (1.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	accuracy	100.0%	(.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
✓	accuracy	100.0%	(*.f64 x.im (sqrt.f64 x.re))
✓	accuracy	100.0%	(sqrt.f64 x.re)
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
	accuracy	100.0%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(*.f64 x.im #s(literal 0 binary64))
✓	accuracy	100.0%	(pow.f64 x.im #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
✓	accuracy	100.0%	(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))

Samples

84.0ms

256×

invalid

Compiler

Compiled 196 to 36 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 20.0ms (42.4% of total)

ival-pow: 15.0ms (31.8% of total)

ival-add: 6.0ms (12.7% of total)

ival-sub: 3.0ms (6.4% of total)

ival-sqrt: 2.0ms (4.2% of total)

ival-div: 1.0ms (2.1% 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)

series27.0ms (0.3%)

Counts

18 → 254

Calls

Call 1

Inputs
#<alt (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))>
#<alt (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))>
#<alt (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))>
#<alt (*.f64 x.im #s(literal 0 binary64))>
#<alt (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re)>
#<alt (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64)))>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.re #s(literal -8 binary64))>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))>
#<alt (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))>
#<alt (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.re x.im)>
#<alt (sqrt.f64 x.re)>
#<alt (*.f64 x.im (sqrt.f64 x.re))>

Outputs
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 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 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 #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)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #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)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (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 -3 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 -3 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 -3 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 -3 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 -3 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 -3 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 -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 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 3 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 3 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 3 binary64)))>
#<alt (*.f64 #s(literal -3 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 3 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 3 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 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64)))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))>
#<alt (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))>
#<alt (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))>
#<alt (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))>
#<alt (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 x.re (-.f64 x.im #s(literal 8 binary64)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 8 binary64)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 8 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x.im #s(literal 8 binary64)) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -8 binary64) (/.f64 x.im x.re))) #s(literal 8 binary64)) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -8 binary64) (/.f64 x.im x.re))) #s(literal 8 binary64)) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 x.re (-.f64 x.re #s(literal 8 binary64)))>
#<alt (+.f64 (.f64 x.im (-.f64 x.re #s(literal 8 binary64))) (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))>
#<alt (+.f64 (.f64 x.im (-.f64 x.re #s(literal 8 binary64))) (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))>
#<alt (+.f64 (.f64 x.im (-.f64 x.re #s(literal 8 binary64))) (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))>
#<alt (*.f64 x.im (-.f64 x.re #s(literal 8 binary64)))>
#<alt (.f64 x.im (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) x.im)) #s(literal 8 binary64)))>
#<alt (.f64 x.im (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) x.im)) #s(literal 8 binary64)))>
#<alt (.f64 x.im (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) x.im)) #s(literal 8 binary64)))>
#<alt (*.f64 x.im (-.f64 x.re #s(literal 8 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x.re #s(literal 8 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 8 binary64))) x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x.re #s(literal 8 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 8 binary64))) x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x.re #s(literal 8 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 8 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (+.f64 (.f64 #s(literal -8 binary64) x.im) (.f64 x.re (-.f64 x.im #s(literal 8 binary64))))>
#<alt (+.f64 (.f64 #s(literal -8 binary64) x.im) (.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 8 binary64))))>
#<alt (+.f64 (.f64 #s(literal -8 binary64) x.im) (.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 8 binary64))))>
#<alt (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 x.im x.re)) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (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 x.im x.re)) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 8 binary64))) (.f64 #s(literal 8 binary64) (/.f64 x.im 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 #s(literal 8 binary64))) (.f64 #s(literal 8 binary64) (/.f64 x.im x.re))) x.re))))>
#<alt 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 x.im>
#<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 #s(literal -8 binary64)>
#<alt (-.f64 x.re #s(literal 8 binary64))>
#<alt (-.f64 x.re #s(literal 8 binary64))>
#<alt (-.f64 x.re #s(literal 8 binary64))>
#<alt x.re>
#<alt (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt x.re>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 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 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -3 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 #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)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #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)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 x.re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 x.re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 x.re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 x.re)))>

Calls

87 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	-inf	(* (+ x.im x.re) (+ x.re -8))
2.0ms	x.re	@	-inf	(* (pow (* x.im (sqrt x.re)) 2) -3)
1.0ms	x.re	@	-inf	(+ (pow x.re 3) (* (pow (* x.im (sqrt x.re)) 2) -3))
1.0ms	x.im	@	inf	(* (* (+ x.im x.re) (+ x.re -8)) x.re)
1.0ms	x.im	@	-inf	(* (* (+ x.im x.re) (+ x.re -8)) x.re)

rewrite75.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

215×	`associate-r`
211×	`log1p-expm1-u`
211×	`expm1-log1p-u`
200×	`add-exp-log`
199×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	588
1	510	588

Stop Event

1×	node limit

Counts

18 → 608

Calls

Call 1

Inputs
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 x.im #s(literal 0 binary64))
(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64)))
(+.f64 x.im x.re)
(+.f64 x.re #s(literal -8 binary64))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(sqrt.f64 x.re)
(*.f64 x.im (sqrt.f64 x.re))

Outputs
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -27 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) #s(literal -27 binary64)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -27 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(+.f64 #s(literal -27 binary64) x.re)
(+.f64 #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -27 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -27 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -27 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) #s(literal -27 binary64)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -27 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(+.f64 #s(literal -27 binary64) x.re)
(+.f64 #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
#s(literal -27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
(+.f64 x.re (*.f64 x.re #s(literal -8 binary64)))
(+.f64 x.re (.f64 (.f64 x.re #s(literal -8 binary64)) #s(literal -27 binary64)))
(+.f64 (+.f64 x.re #s(literal -8 binary64)) (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))
(+.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))) (+.f64 x.re #s(literal -8 binary64)))
(+.f64 (+.f64 x.re (.f64 x.re #s(literal -8 binary64))) (.f64 (+.f64 x.re (.f64 x.re #s(literal -8 binary64))) (.f64 x.re #s(literal -8 binary64))))
(+.f64 (+.f64 x.re (.f64 x.re #s(literal -8 binary64))) (.f64 (.f64 x.re #s(literal -8 binary64)) (+.f64 x.re (.f64 x.re #s(literal -8 binary64)))))
(+.f64 (*.f64 x.re #s(literal -8 binary64)) x.re)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))) #s(literal -27 binary64))
(/.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))) x.re)
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(/.f64 (.f64 x.re (+.f64 x.re #s(literal -512 binary64))) (.f64 x.re (-.f64 (+.f64 x.re #s(literal 64 binary64)) (*.f64 x.re #s(literal -8 binary64)))))
(/.f64 (*.f64 x.re (+.f64 x.re #s(literal -64 binary64))) (+.f64 x.re #s(literal 8 binary64)))
(/.f64 (.f64 x.re (+.f64 x.re #s(literal -64 binary64))) (.f64 x.re (+.f64 x.re #s(literal 8 binary64))))
(/.f64 (.f64 (+.f64 x.re #s(literal -512 binary64)) x.re) (-.f64 (+.f64 x.re #s(literal 64 binary64)) (.f64 x.re #s(literal -8 binary64))))
(/.f64 (.f64 (+.f64 x.re #s(literal -512 binary64)) x.re) (.f64 (-.f64 (+.f64 x.re #s(literal 64 binary64)) (*.f64 x.re #s(literal -8 binary64))) x.re))
(/.f64 (*.f64 (+.f64 x.re #s(literal -64 binary64)) x.re) (+.f64 x.re #s(literal 8 binary64)))
(/.f64 (.f64 (+.f64 x.re #s(literal -64 binary64)) x.re) (.f64 (+.f64 x.re #s(literal 8 binary64)) x.re))
(pow.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))) #s(literal -27 binary64))
(pow.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))
(fabs.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))
(log.f64 (pow.f64 (exp.f64 x.re) (+.f64 x.re #s(literal -8 binary64))))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))))
(cbrt.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64)))))
(exp.f64 (log.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64)))))
(exp.f64 (.f64 (log.f64 (+.f64 x.re (.f64 x.re #s(literal -8 binary64)))) #s(literal -27 binary64)))
(fma.f64 x.re x.re (*.f64 x.re #s(literal -8 binary64)))
(+.f64 x.re (*.f64 x.re #s(literal -8 binary64)))
(+.f64 x.re (.f64 (.f64 x.re #s(literal -8 binary64)) #s(literal -27 binary64)))
(+.f64 (+.f64 x.re #s(literal -8 binary64)) (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))
(+.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))) (+.f64 x.re #s(literal -8 binary64)))
(+.f64 (+.f64 x.re (.f64 x.re #s(literal -8 binary64))) (.f64 (+.f64 x.re (.f64 x.re #s(literal -8 binary64))) (.f64 x.re #s(literal -8 binary64))))
(+.f64 (+.f64 x.re (.f64 x.re #s(literal -8 binary64))) (.f64 (.f64 x.re #s(literal -8 binary64)) (+.f64 x.re (.f64 x.re #s(literal -8 binary64)))))
(+.f64 (*.f64 x.re #s(literal -8 binary64)) x.re)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))) #s(literal -27 binary64))
(/.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))) x.re)
(/.f64 (+.f64 x.re (.f64 x.re #s(literal -8 binary64))) (+.f64 x.re (-.f64 (.f64 (.f64 x.re #s(literal -8 binary64)) (.f64 x.re #s(literal -8 binary64))) (*.f64 x.re #s(literal -8 binary64)))))
(/.f64 (-.f64 x.re (.f64 (.f64 x.re #s(literal -8 binary64)) (.f64 x.re #s(literal -8 binary64)))) (-.f64 x.re (.f64 x.re #s(literal -8 binary64))))
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(/.f64 (.f64 x.re (+.f64 x.re #s(literal -512 binary64))) (.f64 x.re (-.f64 (+.f64 x.re #s(literal 64 binary64)) (*.f64 x.re #s(literal -8 binary64)))))
(/.f64 (*.f64 x.re (+.f64 x.re #s(literal -64 binary64))) (+.f64 x.re #s(literal 8 binary64)))
(/.f64 (.f64 x.re (+.f64 x.re #s(literal -64 binary64))) (.f64 x.re (+.f64 x.re #s(literal 8 binary64))))
(/.f64 (.f64 (+.f64 x.re #s(literal -512 binary64)) x.re) (-.f64 (+.f64 x.re #s(literal 64 binary64)) (.f64 x.re #s(literal -8 binary64))))
(/.f64 (.f64 (+.f64 x.re #s(literal -512 binary64)) x.re) (.f64 (-.f64 (+.f64 x.re #s(literal 64 binary64)) (*.f64 x.re #s(literal -8 binary64))) x.re))
(/.f64 (*.f64 (+.f64 x.re #s(literal -64 binary64)) x.re) (+.f64 x.re #s(literal 8 binary64)))
(/.f64 (.f64 (+.f64 x.re #s(literal -64 binary64)) x.re) (.f64 (+.f64 x.re #s(literal 8 binary64)) x.re))
(pow.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))) #s(literal -27 binary64))
(pow.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))
(fabs.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))
(log.f64 (pow.f64 (exp.f64 x.re) (+.f64 x.re #s(literal -8 binary64))))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))))
(cbrt.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64)))))
(exp.f64 (log.f64 (+.f64 x.re (*.f64 x.re #s(literal -8 binary64)))))
(exp.f64 (.f64 (log.f64 (+.f64 x.re (.f64 x.re #s(literal -8 binary64)))) #s(literal -27 binary64)))
(fma.f64 x.re x.re (*.f64 x.re #s(literal -8 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -27 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x.re #s(literal -8 binary64)))) #s(literal -27 binary64))
(-.f64 (/.f64 x.re (+.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (+.f64 x.re #s(literal 8 binary64))))
(*.f64 (+.f64 x.re #s(literal -8 binary64)) (+.f64 x.re #s(literal -8 binary64)))
(*.f64 (+.f64 x.re #s(literal -8 binary64)) #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) (+.f64 x.re #s(literal -8 binary64)))
(.f64 (+.f64 x.re #s(literal -512 binary64)) (/.f64 #s(literal -27 binary64) (-.f64 (+.f64 x.re #s(literal 64 binary64)) (.f64 x.re #s(literal -8 binary64)))))
(*.f64 (+.f64 x.re #s(literal -64 binary64)) (/.f64 #s(literal -27 binary64) (+.f64 x.re #s(literal 8 binary64))))
(/.f64 #s(literal -27 binary64) (/.f64 (-.f64 (+.f64 x.re #s(literal 64 binary64)) (*.f64 x.re #s(literal -8 binary64))) (+.f64 x.re #s(literal -512 binary64))))
(/.f64 #s(literal -27 binary64) (/.f64 (+.f64 x.re #s(literal 8 binary64)) (+.f64 x.re #s(literal -64 binary64))))
(/.f64 (+.f64 x.re #s(literal -512 binary64)) (-.f64 (+.f64 x.re #s(literal 64 binary64)) (*.f64 x.re #s(literal -8 binary64))))
(/.f64 (+.f64 x.re #s(literal -512 binary64)) (+.f64 #s(literal 64 binary64) (-.f64 x.re (*.f64 x.re #s(literal -8 binary64)))))
(/.f64 (+.f64 x.re #s(literal -64 binary64)) (+.f64 x.re #s(literal 8 binary64)))
(/.f64 (cbrt.f64 (+.f64 x.re #s(literal -512 binary64))) (cbrt.f64 (-.f64 (+.f64 x.re #s(literal 64 binary64)) (*.f64 x.re #s(literal -8 binary64)))))
(/.f64 (cbrt.f64 (+.f64 x.re #s(literal -64 binary64))) (cbrt.f64 (+.f64 x.re #s(literal 8 binary64))))
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(/.f64 (sqrt.f64 (+.f64 x.re #s(literal -64 binary64))) (sqrt.f64 (+.f64 x.re #s(literal 8 binary64))))
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(exp.f64 (log.f64 (+.f64 x.re #s(literal -8 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x.re #s(literal -8 binary64))) #s(literal -27 binary64)))
(fma.f64 x.re x.re #s(literal -8 binary64))
(fma.f64 #s(literal -27 binary64) x.re #s(literal -8 binary64))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
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(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -27 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) #s(literal -27 binary64)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -27 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(+.f64 #s(literal -27 binary64) x.re)
(+.f64 #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -27 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -27 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) #s(literal -27 binary64)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -27 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(+.f64 #s(literal -27 binary64) x.re)
(+.f64 #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
#s(literal -27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -27 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) #s(literal -27 binary64)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -27 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(+.f64 #s(literal -27 binary64) x.re)
(+.f64 #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -27 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -27 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) #s(literal -27 binary64)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -27 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(+.f64 #s(literal -27 binary64) x.re)
(+.f64 #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -27 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -27 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) #s(literal -27 binary64)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -27 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(+.f64 #s(literal -27 binary64) x.re)
(+.f64 #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -27 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -27 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) #s(literal -27 binary64)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -27 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(+.f64 #s(literal -27 binary64) x.re)
(+.f64 #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) #s(literal -27 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -27 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -27 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -27 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(hypot.f64 #s(literal -27 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) x.re x.re)
(fma.f64 #s(literal -27 binary64) x.re #s(literal -27 binary64))
(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))

simplify318.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

905×	`fma-define`
491×	`distribute-lft-in`
468×	`times-frac`
462×	`distribute-rgt-in`
243×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	15515
1	1000	14421
2	2775	13511

Stop Event

1×	node limit

Counts

862 → 354

Calls

Call 1

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

Outputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (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 -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(fma.f64 #s(literal -3 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 -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(fma.f64 #s(literal -3 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 -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(fma.f64 #s(literal -3 binary64) (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 -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(fma.f64 #s(literal -3 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 -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(fma.f64 #s(literal -3 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 -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(fma.f64 #s(literal -3 binary64) (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 -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -3 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 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 -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #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 2 binary64)) (fma.f64 x.re (/.f64 x.re (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 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 -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #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 2 binary64)) (fma.f64 x.re (/.f64 x.re (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 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 -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #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 2 binary64)) (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64)))
(*.f64 #s(literal -3 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 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 -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #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 2 binary64)) (fma.f64 x.re (/.f64 x.re (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 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 -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
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x.re
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x.re
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(+.f64 #s(literal -27 binary64) (*.f64 #s(literal -27 binary64) (neg.f64 x.re)))
(fma.f64 #s(literal -27 binary64) (neg.f64 x.re) #s(literal -27 binary64))
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(-.f64 x.re x.re)
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(-.f64 x.re #s(literal -27 binary64))
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(fabs.f64 x.re)
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x.re
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(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -27 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
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(+.f64 #s(literal -27 binary64) (*.f64 #s(literal -27 binary64) (neg.f64 x.re)))
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(-.f64 x.re x.re)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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x.re
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(log.f64 (/.f64 (exp.f64 x.re) #s(literal -27 binary64)))
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#s(literal 0 binary64)
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(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (fma.f64 #s(literal -1 binary64) x.re #s(literal 1 binary64)) x.re x.re)
(*.f64 x.re (+.f64 (neg.f64 x.re) #s(literal 2 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
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(-.f64 x.re x.re)
#s(literal 0 binary64)
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(sqrt.f64 x.re)
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(fabs.f64 x.re)
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x.re
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#s(literal 0 binary64)
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(-.f64 x.re #s(literal 1 binary64))
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(hypot.f64 #s(literal -27 binary64) x.re)
(hypot.f64 x.re #s(literal -27 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(fma.f64 x.re #s(literal -27 binary64) x.re)
(*.f64 #s(literal -26 binary64) x.re)
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(fma.f64 #s(literal -27 binary64) x.re (neg.f64 x.re))
(-.f64 (*.f64 x.re #s(literal -27 binary64)) x.re)
(*.f64 x.re #s(literal -28 binary64))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) x.re)
(+.f64 #s(literal 729 binary64) x.re)
(+.f64 x.re #s(literal 729 binary64))
(fma.f64 #s(literal -27 binary64) #s(literal -27 binary64) (neg.f64 x.re))
(-.f64 #s(literal 729 binary64) x.re)

eval143.0ms (1.8%)

Compiler: Compiled 7 735 to 1 480 computations (80.9% saved)

prune467.0ms (6%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	450	19	469
Fresh	2	2	4
Picked	3	2	5
Done	1	1	2
Total	456	24	480

Accuracy

99.9%

Counts

480 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.9%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
✓	58.6%	(pow.f64 x.re #s(literal 3 binary64))
	2.6%	(/.f64 #s(literal -27 binary64) x.re)
	68.2%	(-.f64 (.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	81.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
▶	48.5%	(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	32.1%	(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	21.4%	(-.f64 (.f64 x.re #s(literal -7 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	16.5%	(-.f64 x.re x.re)
	4.6%	(-.f64 x.re #s(literal 1 binary64))
	19.8%	(-.f64 #s(literal -7 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	2.6%	(-.f64 #s(literal -27 binary64) x.re)
✓	86.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
	4.7%	(+.f64 x.re x.re)
	50.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
	50.9%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
	24.6%	(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
▶	58.6%	(.f64 x.re (.f64 x.re x.re))
	15.6%	(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
	4.7%	(*.f64 x.re #s(literal 29 binary64))
	3.2%	(*.f64 x.re #s(literal -26 binary64))
	3.2%	(*.f64 x.re #s(literal -28 binary64))
	50.9%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
▶	2.8%	#s(literal 1 binary64)

Compiler

Compiled 455 to 299 computations (34.3% saved)

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
✓	cost-diff	64	(.f64 (.f64 x.im (neg.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re)
	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.im)
✓	cost-diff	-6208	(.f64 x.re (.f64 x.re x.re))
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 #s(literal -27 binary64) x.re)
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Rules

817×	`fmm-def`
465×	`distribute-lft-in`
455×	`distribute-rgt-in`
353×	`times-frac`
339×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	679
1	94	658
2	265	628
3	1114	600
4	4652	599

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.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.im)
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -27 binary64) x.re)
#s(literal -27 binary64)
x.re
(.f64 x.re (.f64 x.re x.re))
x.re
(*.f64 x.re x.re)
(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(.f64 (.f64 x.im (neg.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re)
(.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
x.im
(neg.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(+.f64 x.re #s(literal -8 binary64))
x.re
#s(literal -8 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))
#s(literal -1 binary64)
(/.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)

Outputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (-.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(.f64 x.re (fma.f64 x.re x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(fma.f64 x.re (neg.f64 (*.f64 x.im x.im)) (pow.f64 x.re #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) #s(literal 2 binary64)) x.im)
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (*.f64 x.im 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)
#s(literal 1 binary64)
(-.f64 #s(literal -27 binary64) x.re)
#s(literal -27 binary64)
x.re
(.f64 x.re (.f64 x.re x.re))
(pow.f64 x.re #s(literal 3 binary64))
x.re
(*.f64 x.re x.re)
(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))) (.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(.f64 x.im (-.f64 (.f64 x.re (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (neg.f64 x.re) #s(literal 8 binary64)))) (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(.f64 (.f64 x.re x.im) (+.f64 (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (-.f64 #s(literal 8 binary64) x.re)) (.f64 x.im #s(literal -2 binary64))))
(.f64 x.re (.f64 x.im (fma.f64 (+.f64 x.re #s(literal -8 binary64)) (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im #s(literal -2 binary64)))))
(.f64 (.f64 x.im (neg.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re)
(.f64 x.re (.f64 x.im (neg.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))))
(.f64 x.re (.f64 x.im (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (neg.f64 x.re) #s(literal 8 binary64)))))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 (-.f64 #s(literal 8 binary64) x.re) (*.f64 x.re x.im)))
(.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 x.re (*.f64 x.im (-.f64 #s(literal 8 binary64) x.re))))
(.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(.f64 x.im (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (neg.f64 x.re) #s(literal 8 binary64))))
(.f64 x.im (.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (-.f64 #s(literal 8 binary64) x.re)))
(.f64 x.im (.f64 (+.f64 x.re #s(literal -8 binary64)) (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64))))
x.im
(neg.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (+.f64 (neg.f64 x.re) #s(literal 8 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (-.f64 #s(literal 8 binary64) x.re))
(*.f64 (+.f64 x.re #s(literal -8 binary64)) (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(+.f64 x.re #s(literal -8 binary64))
x.re
#s(literal -8 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))
#s(literal -1 binary64)
(/.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (*.f64 x.im 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 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize167.0ms (2.2%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x.im (neg.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re)
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	93.4%	(.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
✓	accuracy	86.4%	(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.9%	(.f64 x.re (.f64 x.re x.re))
✓	accuracy	100.0%	(-.f64 #s(literal -27 binary64) x.re)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	93.7%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	91.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))

Samples

65.0ms

256×

valid

Compiler

Compiled 180 to 30 computations (83.3% saved)

Precisions

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

ival-mult: 19.0ms (53.5% of total)

ival-sub: 8.0ms (22.5% of total)

ival-add: 5.0ms (14.1% of total)

ival-div: 2.0ms (5.6% of total)

ival-neg: 1.0ms (2.8% 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)

series70.0ms (0.9%)

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)>
#<alt (-.f64 #s(literal -27 binary64) x.re)>
#<alt (.f64 x.re (.f64 x.re x.re))>
#<alt (.f64 (.f64 x.im (neg.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re)>
#<alt (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))>
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))>
#<alt (-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))>

Outputs
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt #s(literal -27 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 27 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 27 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 27 binary64))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64)))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))>
#<alt (+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))>
#<alt (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re))) x.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 8 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re))) x.re)) #s(literal 1 binary64))))>

Calls

36 calls:

Time	Variable		Point	Expression
57.0ms	x.im	@	-inf	(* (* x.im (neg (* (+ x.re -8) (- -1 (/ x.re x.im))))) x.re)
1.0ms	x.re	@	-inf	(* (* x.im (neg (* (+ x.re -8) (- -1 (/ x.re x.im))))) x.re)
1.0ms	x.re	@	0	(* (* x.im (neg (* (+ x.re -8) (- -1 (/ x.re x.im))))) x.re)
1.0ms	x.re	@	inf	(* (* x.im (neg (* (+ x.re -8) (- -1 (/ x.re x.im))))) x.re)
1.0ms	x.im	@	0	(* (* x.im (neg (* (+ x.re -8) (- -1 (/ x.re x.im))))) x.re)

rewrite143.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`associate-r`
266×	`log1p-expm1-u`
266×	`expm1-log1p-u`
259×	`add-exp-log`
256×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	315
1	606	246

Stop Event

1×	node limit

Counts

7 → 207

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(-.f64 #s(literal -27 binary64) x.re)
(.f64 x.re (.f64 x.re x.re))
(.f64 (.f64 x.im (neg.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re)
(.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Outputs
(+.f64 (.f64 x.im (.f64 x.re x.im)) (.f64 x.im (.f64 x.re x.im)))
(+.f64 (.f64 (.f64 x.re x.im) x.im) (.f64 (.f64 x.re x.im) x.im))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (/.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.im)) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x.im #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.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im)))
(cbrt.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal -27 binary64) (neg.f64 x.re))
(+.f64 #s(literal -27 binary64) (*.f64 (neg.f64 x.re) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -27 binary64) x.re))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal -27 binary64) x.re) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal -27 binary64) x.re)))
(*.f64 (sqrt.f64 (-.f64 #s(literal -27 binary64) x.re)) (sqrt.f64 (-.f64 #s(literal -27 binary64) x.re)))
(.f64 (-.f64 #s(literal -19683 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 729 binary64) (.f64 x.re (+.f64 x.re #s(literal -27 binary64))))))
(*.f64 (-.f64 #s(literal 729 binary64) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -27 binary64) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 729 binary64) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (-.f64 #s(literal -19683 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -27 binary64) x.re) (-.f64 #s(literal 729 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -19683 binary64) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 #s(literal 729 binary64) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
(/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal -27 binary64) x.re))
(/.f64 (neg.f64 (-.f64 #s(literal -19683 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 729 binary64) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 729 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -27 binary64) x.re)))
(/.f64 (+.f64 #s(literal -19683 binary64) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64))) (+.f64 #s(literal 729 binary64) (-.f64 (.f64 (neg.f64 x.re) (neg.f64 x.re)) (.f64 #s(literal -27 binary64) (neg.f64 x.re)))))
(/.f64 (-.f64 #s(literal 729 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -27 binary64) (neg.f64 x.re)))
(pow.f64 (-.f64 #s(literal -27 binary64) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal -27 binary64) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal -27 binary64) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal -27 binary64) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal -27 binary64) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal -27 binary64) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal -27 binary64) x.re))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal -27 binary64) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal -27 binary64) x.re)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal -27 binary64) x.re)))
(exp.f64 (log.f64 (-.f64 #s(literal -27 binary64) x.re)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -27 binary64) x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x.re #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x.re #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.re #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.re #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.re #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x.re #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) #s(literal 2 binary64))
(neg.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))))
(sqrt.f64 (pow.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))))))
(cbrt.f64 (pow.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))))
(log1p.f64 (expm1.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))))
(exp.f64 (log.f64 (.f64 x.re (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))
(sqrt.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))))
(exp.f64 (log.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 1 binary64)))
(+.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 (neg.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im)) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 x.re x.im)))) (fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) x.im)) (.f64 x.re x.im) (.f64 (.f64 #s(literal 2 binary64) x.im) (.f64 x.re x.im))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))) (fma.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64) (.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im))) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im)) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im)) #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (neg.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 3 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(pow.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (log.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.im (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) x.re (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) (sqrt.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

simplify148.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

125×	`*-commutative`
93×	`+-commutative`
47×	`fma-undefine`
47×	`sub-neg`
34×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	612	20063
1	1742	20063

Stop Event

1×

unsound

Counts

351 → 382

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 27 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 27 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 27 binary64))
(*.f64 #s(literal -1 binary64) x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 #s(literal -1 binary64) x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))
(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))
(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -8 binary64) x.im) (.f64 x.im (.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)))))))
(.f64 x.re (+.f64 (.f64 #s(literal -8 binary64) x.im) (.f64 x.re (+.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im))))))))
(.f64 x.re (+.f64 (.f64 #s(literal -8 binary64) x.im) (.f64 x.re (+.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im))))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)))) x.re)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im (-.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)))) x.re))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im (-.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)))) x.re))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (log.f64 (.f64 x.im (+.f64 (.f64 (*.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.im (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) x.re (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) (sqrt.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -8 binary64)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -8 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -8 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -8 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -8 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -8 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -8 binary64))))
(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))
(.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -8 binary64))))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))
(.f64 x.im (fma.f64 x.re (+.f64 x.re #s(literal -8 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (+.f64 x.re #s(literal -8 binary64)) x.im))))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))
(.f64 x.im (fma.f64 x.re (+.f64 x.re #s(literal -8 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (+.f64 x.re #s(literal -8 binary64)) x.im))))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))
(.f64 x.im (fma.f64 x.re (+.f64 x.re #s(literal -8 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (+.f64 x.re #s(literal -8 binary64)) x.im))))
(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))
(.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -8 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))))
(neg.f64 (.f64 x.im (.f64 #s(literal -1 binary64) (fma.f64 x.re (+.f64 x.re #s(literal -8 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (+.f64 x.re #s(literal -8 binary64)) x.im))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))))
(neg.f64 (.f64 x.im (.f64 #s(literal -1 binary64) (fma.f64 x.re (+.f64 x.re #s(literal -8 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (+.f64 x.re #s(literal -8 binary64)) x.im))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 8 binary64))) x.im)))))
(neg.f64 (.f64 x.im (.f64 #s(literal -1 binary64) (fma.f64 x.re (+.f64 x.re #s(literal -8 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (+.f64 x.re #s(literal -8 binary64)) x.im))))))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -8 binary64) x.im) (.f64 x.im (.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)))))))
(.f64 x.re (fma.f64 #s(literal -8 binary64) x.im (.f64 (*.f64 x.im x.re) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) x.im)))))
(.f64 x.re (+.f64 (.f64 #s(literal -8 binary64) x.im) (.f64 x.re (+.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im))))))))
(.f64 x.re (fma.f64 #s(literal -8 binary64) x.im (.f64 x.re (+.f64 x.re (*.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) x.im)))))))
(.f64 x.re (+.f64 (.f64 #s(literal -8 binary64) x.im) (.f64 x.re (+.f64 x.re (.f64 x.im (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im))))))))
(.f64 x.re (fma.f64 #s(literal -8 binary64) x.im (.f64 x.re (+.f64 x.re (*.f64 x.im (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) x.im)))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x.im (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)))) x.re)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (.f64 x.im (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) x.im)) x.re))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im (-.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)))) x.re))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) x.im)) x.re)))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im (-.f64 #s(literal 1 binary64) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)))) x.re))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -8 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.im (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 8 binary64) x.im)) x.re)))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (.f64 x.im (-.f64 (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)) #s(literal 1 binary64))) x.re) #s(literal 1 binary64))))
(neg.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (.f64 x.im (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) x.im) #s(literal -1 binary64)) x.re)) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im x.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)) #s(literal 1 binary64))))) x.re)) #s(literal 1 binary64))))
(neg.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 x.im x.re) (neg.f64 (.f64 x.im (+.f64 (/.f64 #s(literal 8 binary64) x.im) #s(literal -1 binary64))))) x.re) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -8 binary64) (/.f64 x.im x.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x.im)) #s(literal 1 binary64))))) x.re)) #s(literal 1 binary64))))
(neg.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 x.im x.re) (neg.f64 (.f64 x.im (+.f64 (/.f64 #s(literal 8 binary64) x.im) #s(literal -1 binary64))))) x.re) #s(literal -1 binary64))))
(*.f64 x.re (-.f64 x.re #s(literal 8 binary64)))
(*.f64 x.re (+.f64 x.re #s(literal -8 binary64)))
(+.f64 (.f64 x.im (-.f64 x.re #s(literal 8 binary64))) (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))
(*.f64 (+.f64 x.re #s(literal -8 binary64)) (+.f64 x.im x.re))
(+.f64 (.f64 x.im (-.f64 x.re #s(literal 8 binary64))) (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))
(*.f64 (+.f64 x.re #s(literal -8 binary64)) (+.f64 x.im x.re))
(+.f64 (.f64 x.im (-.f64 x.re #s(literal 8 binary64))) (.f64 x.re (-.f64 x.re #s(literal 8 binary64))))
(*.f64 (+.f64 x.re #s(literal -8 binary64)) (+.f64 x.im x.re))
(*.f64 x.im (-.f64 x.re #s(literal 8 binary64)))
(*.f64 x.im (+.f64 x.re #s(literal -8 binary64)))
(.f64 x.im (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (-.f64 x.re #s(literal 8 binary64))) x.im)) #s(literal 8 binary64)))
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(fma.f64 (cbrt.f64 (pow.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x.re (.f64 x.im (+.f64 x.re #s(literal -8 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 x.re x.im))) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 x.re (.f64 x.im (+.f64 x.re #s(literal -8 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 x.re x.im)))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (.f64 x.im (+.f64 (.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.im (fma.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))) x.re #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) x.im))
(fma.f64 (sqrt.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) (sqrt.f64 (.f64 x.re (.f64 (.f64 x.im (+.f64 x.re #s(literal -8 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 x.re (.f64 x.im (+.f64 x.re #s(literal -8 binary64)))) (+.f64 #s(literal 0 binary64) (/.f64 x.re x.im)))) #s(literal 2 binary64)) (.f64 x.im #s(literal 0 binary64)))

eval168.0ms (2.2%)

Compiler: Compiled 14 991 to 1 842 computations (87.7% saved)

prune135.0ms (1.8%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	595	7	602
Fresh	4	12	16
Picked	2	3	5
Done	0	3	3
Total	601	25	626

Accuracy

99.9%

Counts

626 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.9%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
✓	58.6%	(pow.f64 x.re #s(literal 3 binary64))
	2.6%	(/.f64 #s(literal -27 binary64) x.re)
	68.2%	(-.f64 (.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	81.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
▶	72.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.im #s(literal 0 binary64)))
	36.0%	(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 #s(literal -8 binary64) (*.f64 x.im x.re)) x.im))
▶	32.1%	(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	21.4%	(-.f64 (.f64 x.re #s(literal -7 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	16.5%	(-.f64 x.re x.re)
	4.6%	(-.f64 x.re #s(literal 1 binary64))
	19.8%	(-.f64 #s(literal -7 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	86.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
▶	4.7%	(+.f64 x.re x.re)
	50.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	50.9%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
	2.7%	(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
✓	58.6%	(.f64 x.re (.f64 x.re x.re))
▶	15.6%	(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
	4.7%	(*.f64 x.re #s(literal 29 binary64))
	3.2%	(*.f64 x.re #s(literal -28 binary64))
	50.9%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
	3.2%	(neg.f64 x.re)
✓	2.8%	#s(literal 1 binary64)
▶	2.7%	#s(literal -27 binary64)

Compiler

Compiled 448 to 297 computations (33.7% saved)

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x.im #s(literal -8 binary64))
✓	cost-diff	0	(.f64 (.f64 x.im #s(literal -8 binary64)) x.re)
	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.im)
✓	cost-diff	0	(*.f64 x.re #s(literal -27 binary64))
✓	cost-diff	0	(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
✓	cost-diff	0	(+.f64 x.re x.re)
	cost-diff	0	(*.f64 x.im x.im)
	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 x.im #s(literal 0 binary64))

Rules

633×	`sub-neg`
594×	`unsub-neg`
410×	`fma-define`
369×	`fmm-def`
339×	`associate-+l-`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	387
1	67	350
2	127	341
3	317	335
4	822	331
5	1991	331
6	3332	331
7	5330	331
8	7143	331
9	7822	331

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.im #s(literal 0 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.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 x.im #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal -27 binary64)
(+.f64 x.re x.re)
x.re
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
x.re
(*.f64 x.re #s(literal -27 binary64))
#s(literal -27 binary64)
(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(.f64 (.f64 x.im #s(literal -8 binary64)) x.re)
(*.f64 x.im #s(literal -8 binary64))
x.im
#s(literal -8 binary64)
x.re
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)

Outputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.im #s(literal 0 binary64)))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re #s(literal 0 binary64))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re x.im) (neg.f64 x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 x.re (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re #s(literal 0 binary64))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re x.im) (neg.f64 x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 x.re (neg.f64 x.im)) (pow.f64 x.re #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 x.im #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal -27 binary64)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal 2 binary64))
x.re
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
x.re
(*.f64 x.re #s(literal -27 binary64))
#s(literal -27 binary64)
(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64))) (.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im))))
(.f64 x.im (-.f64 (.f64 x.re #s(literal -8 binary64)) (.f64 x.im (.f64 x.re #s(literal 2 binary64)))))
(.f64 x.im (.f64 x.re (-.f64 #s(literal -8 binary64) (*.f64 #s(literal 2 binary64) x.im))))
(.f64 (.f64 x.re x.im) (+.f64 #s(literal -8 binary64) (*.f64 x.im #s(literal -2 binary64))))
(.f64 x.re (.f64 x.im (fma.f64 x.im #s(literal -2 binary64) #s(literal -8 binary64))))
(.f64 (.f64 x.im #s(literal -8 binary64)) x.re)
(.f64 x.re (.f64 x.im #s(literal -8 binary64)))
(.f64 x.im (.f64 x.re #s(literal -8 binary64)))
(*.f64 x.im #s(literal -8 binary64))
x.im
#s(literal -8 binary64)
x.re
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im)))
(.f64 x.im (.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal 2 binary64)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(.f64 x.im (.f64 x.re #s(literal 2 binary64)))
(.f64 x.re (.f64 #s(literal 2 binary64) x.im))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize75.0ms (1%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal -8 binary64))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	100.0%	(*.f64 x.re #s(literal -27 binary64))
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
✓	accuracy	100.0%	(+.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	100.0%	(*.f64 x.im #s(literal 0 binary64))
	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	93.7%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

Samples

47.0ms

256×

valid

Compiler

Compiled 106 to 23 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 18.0ms (73.4% of total)

ival-sub: 3.0ms (12.2% of total)

ival-add: 2.0ms (8.2% 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)

series7.0ms (0.1%)

Counts

6 → 96

Calls

Call 1

Inputs
#<alt (+.f64 x.re x.re)>
#<alt (.f64 x.re (.f64 x.re #s(literal -27 binary64)))>
#<alt (*.f64 x.re #s(literal -27 binary64))>
#<alt (.f64 (.f64 x.im #s(literal -8 binary64)) x.re)>
#<alt (*.f64 x.im #s(literal -8 binary64))>
#<alt (-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>

Outputs
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (*.f64 #s(literal -8 binary64) x.im)>
#<alt (.f64 #s(literal -8 binary64) (.f64 x.im x.re))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 #s(literal -2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 8 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 8 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 8 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 8 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	inf	(* x.re (* x.re -27))
0.0ms	x.re	@	0	(+ x.re x.re)
0.0ms	x.im	@	-inf	(* x.im -8)
0.0ms	x.im	@	inf	(* x.im -8)
0.0ms	x.re	@	0	(* (* x.im -8) x.re)

rewrite244.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`fma-define`
699×	`log1p-expm1-u`
699×	`expm1-log1p-u`
376×	`fmm-def`
179×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	128
1	299	89
2	4202	89

Stop Event

1×	node limit

Counts

6 → 344

Calls

Call 1

Inputs
(+.f64 x.re x.re)
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re #s(literal -27 binary64))
(.f64 (.f64 x.im #s(literal -8 binary64)) x.re)
(*.f64 x.im #s(literal -8 binary64))
(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Outputs
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 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 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 x.re #s(literal 2 binary64))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)
(*.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)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (cbrt.f64 (.f64 x.re x.im)) (+.f64 (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (.f64 x.re x.im)) (cbrt.f64 (.f64 x.re x.im))))
(*.f64 (cbrt.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 x.re) (+.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (+.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (.f64 x.re x.im)) (+.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im))))
(*.f64 (sqrt.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 x.re) (+.f64 (sqrt.f64 x.re) (sqrt.f64 x.re)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(.f64 #s(literal 2 binary64) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 x.re))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x.re))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 (.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 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re #s(literal 0 binary64)))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 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 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 0 binary64)) (.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (neg.f64 (.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 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.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.im (.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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re x.re #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im)))
(hypot.f64 (sqrt.f64 x.re) (sqrt.f64 x.re))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 x.re #s(literal 1 binary64) x.re)
(fma.f64 x.im x.re (*.f64 x.re x.im))
(fma.f64 x.im (.f64 x.re x.im) (.f64 x.im (*.f64 x.re x.im)))
(fma.f64 (.f64 x.re x.im) x.im (.f64 (*.f64 x.re x.im) x.im))
(fma.f64 (.f64 x.re x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (*.f64 x.re x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (.f64 x.re x.im) #s(literal 1 binary64) (.f64 x.re x.im))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re x.im) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.im)))
(fma.f64 #s(literal 1 binary64) x.re x.re)
(fma.f64 #s(literal 1 binary64) (.f64 x.re x.im) (.f64 x.re x.im))
(fma.f64 (cbrt.f64 (.f64 x.re x.im)) (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 x.re x.im))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re x.im)) (*.f64 x.re x.im))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) x.re) (.f64 x.re x.im))
(fma.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) x.re)
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) x.re)
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) x.im) (.f64 x.re x.im))
(fma.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im)) (*.f64 x.re x.im))
(fma.f64 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) x.re) (.f64 x.re x.im))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) x.re)
(fma.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) x.im) (.f64 x.re x.im))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.re x.im))
(fma.f64 (.f64 x.re (sqrt.f64 x.im)) (sqrt.f64 x.im) (.f64 x.re x.im))
(fma.f64 (.f64 x.im (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 x.re x.im))
(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 x.re x.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.re (sqrt.f64 #s(literal -27 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))) #s(literal -27 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re #s(literal -27 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
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(fma.f64 (.f64 (cbrt.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (cbrt.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (cbrt.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x.re) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) x.re (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Rules

159×	`fma-undefine`
87×	`*-commutative`
21×	`fmm-undef`
20×	`associate-r`
19×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	599	11639
1	1765	11639

Stop Event

1×

unsound

Counts

440 → 483

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(*.f64 #s(literal -8 binary64) x.im)
(.f64 #s(literal -8 binary64) (.f64 x.im x.re))
(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(.f64 #s(literal -2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 #s(literal -2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -8 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (.f64 #s(literal -8 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 8 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 8 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 8 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal 8 binary64) x.im) (.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 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 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 x.re #s(literal 2 binary64))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)
(*.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)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (cbrt.f64 (.f64 x.re x.im)) (+.f64 (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (.f64 x.re x.im)) (cbrt.f64 (.f64 x.re x.im))))
(*.f64 (cbrt.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 x.re) (+.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (+.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (sqrt.f64 (.f64 x.re x.im)) (+.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im))))
(*.f64 (sqrt.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 x.re) (+.f64 (sqrt.f64 x.re) (sqrt.f64 x.re)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(.f64 #s(literal 2 binary64) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 x.re))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x.re))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 (.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)))
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(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) (.f64 x.re #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) (.f64 x.re #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) (.f64 x.re #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (cbrt.f64 x.re) (+.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (+.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) (.f64 x.im #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) (.f64 x.im #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) (.f64 x.im #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (pow.f64 (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (sqrt.f64 (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (sqrt.f64 (.f64 x.re x.im)) (+.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im))) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (sqrt.f64 (.f64 x.im #s(literal -8 binary64))) (.f64 (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (.f64 x.im #s(literal -8 binary64))) (.f64 (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) x.re) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 (.f64 x.im #s(literal -8 binary64))) (.f64 (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) x.re) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (sqrt.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) (.f64 x.re #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) (.f64 x.re #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) (.f64 x.re #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (sqrt.f64 x.re) (+.f64 (sqrt.f64 x.re) (sqrt.f64 x.re)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (.f64 x.im #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (.f64 x.im #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (.f64 x.im #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 -8 binary64))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re #s(literal 0 binary64))) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (.f64 x.re (*.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64)))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (.f64 x.re (*.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 #s(literal 2 binary64) x.re (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 x.re x.im) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (*.f64 x.re #s(literal -8 binary64)) x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re #s(literal -8 binary64)) x.im (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (*.f64 x.re #s(literal -8 binary64)) x.im (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 x.re) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (cbrt.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (cbrt.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x.re) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 #s(literal 4 binary64) (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) x.re (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))

Outputs
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 2 binary64)))
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(fma.f64 (fma.f64 x.re (.f64 #s(literal -8 binary64) x.im) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -8 binary64) #s(literal -2 binary64))) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64)))) (.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x.re (.f64 #s(literal -8 binary64) x.im) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -8 binary64) #s(literal -2 binary64))) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 (pow.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (.f64 x.re (*.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64)))) (+.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x.re (.f64 #s(literal -8 binary64) x.im) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -8 binary64) #s(literal -2 binary64))) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) x.re (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 x.re #s(literal -2 binary64) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))
(fma.f64 #s(literal 2 binary64) (.f64 x.re x.im) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 x.re #s(literal -2 binary64) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))
(fma.f64 #s(literal 2 binary64) (.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 x.re #s(literal -2 binary64) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))
(fma.f64 (*.f64 x.re #s(literal -8 binary64)) x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re #s(literal -8 binary64)) x.im #s(literal -2 binary64))
(fma.f64 (*.f64 x.re #s(literal -8 binary64)) x.im (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (*.f64 x.re #s(literal -8 binary64)) x.im (fma.f64 x.re #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (*.f64 x.re #s(literal -8 binary64)) x.im (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (.f64 (.f64 x.re #s(literal -8 binary64)) x.im) (-.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 (pow.f64 x.im #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))
(fma.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 x.re) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 #s(literal -2 binary64) (cbrt.f64 x.re) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (cbrt.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (cbrt.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))) (cbrt.f64 (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64)))) (cbrt.f64 (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -8 binary64) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x.re) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 #s(literal -2 binary64) (sqrt.f64 x.re) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))
(fma.f64 (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (hypot.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (fma.f64 x.re #s(literal -8 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -8 binary64) #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 x.re (*.f64 #s(literal -8 binary64) x.im) #s(literal -2 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 x.re (*.f64 #s(literal -8 binary64) x.im) #s(literal -2 binary64))
(fma.f64 #s(literal 4 binary64) (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.re (.f64 x.im #s(literal -8 binary64))))
(fma.f64 x.re (*.f64 #s(literal -8 binary64) x.im) #s(literal -2 binary64))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (+.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))) (+.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))) (+.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (.f64 x.re (.f64 x.im #s(literal -8 binary64)))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (+.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))) (+.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64)))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 x.re (.f64 #s(literal -8 binary64) x.im)) (*.f64 #s(literal -8 binary64) x.im) #s(literal -2 binary64))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 x.re (.f64 #s(literal -8 binary64) x.im)) (*.f64 #s(literal -8 binary64) x.im) (fma.f64 x.re #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.im #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (.f64 (.f64 x.re (.f64 #s(literal -8 binary64) x.im)) (.f64 #s(literal -8 binary64) x.im)) (-.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 #s(literal -8 binary64) x.im))) (sqrt.f64 (*.f64 #s(literal -8 binary64) x.im)) #s(literal -2 binary64))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 #s(literal -8 binary64) x.im))) (sqrt.f64 (*.f64 #s(literal -8 binary64) x.im)) (fma.f64 x.re #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -8 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -8 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (.f64 (.f64 x.re (sqrt.f64 (.f64 #s(literal -8 binary64) x.im))) (sqrt.f64 (.f64 #s(literal -8 binary64) x.im))) (-.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 x.re) #s(literal -2 binary64)) (.f64 #s(literal -8 binary64) x.im)) (cbrt.f64 x.re) #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 x.re) #s(literal -2 binary64)) (.f64 #s(literal -8 binary64) x.im)) (cbrt.f64 x.re) (fma.f64 x.re #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 x.re) #s(literal -2 binary64)) (*.f64 #s(literal -8 binary64) x.im)) (cbrt.f64 x.re)) (-.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 x.re) (.f64 #s(literal -8 binary64) x.im)) (sqrt.f64 x.re) #s(literal -2 binary64))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re) (fma.f64 x.re #s(literal 2 binary64) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (.f64 (sqrt.f64 x.re) (.f64 #s(literal -8 binary64) x.im)) (sqrt.f64 x.re) (fma.f64 x.re #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re) (neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 x.re #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (.f64 (.f64 (sqrt.f64 x.re) (*.f64 #s(literal -8 binary64) x.im)) (sqrt.f64 x.re)) (-.f64 #s(literal -2 binary64) (fma.f64 x.re #s(literal -2 binary64) #s(literal -2 binary64))))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal -2 binary64))) (cbrt.f64 x.im) (.f64 x.re (*.f64 #s(literal -8 binary64) x.im)))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (cbrt.f64 x.re)) (.f64 x.re (*.f64 #s(literal -8 binary64) x.im)))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re) (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 (sqrt.f64 x.re) (.f64 #s(literal -2 binary64) (sqrt.f64 x.re)) (.f64 x.re (*.f64 #s(literal -8 binary64) x.im)))
(fma.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) x.re (.f64 x.re (*.f64 x.im #s(literal -8 binary64))))
(fma.f64 x.re #s(literal -2 binary64) (.f64 x.re (.f64 #s(literal -8 binary64) x.im)))

eval72.0ms (0.9%)

Compiler: Compiled 10 183 to 1 537 computations (84.9% saved)

prune225.0ms (2.9%)

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	686	3	689
Fresh	2	12	14
Picked	2	3	5
Done	0	6	6
Total	690	24	714

Accuracy

99.9%

Counts

714 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.9%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
✓	58.6%	(pow.f64 x.re #s(literal 3 binary64))
	2.6%	(/.f64 #s(literal -27 binary64) x.re)
	68.2%	(-.f64 (.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	81.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	72.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
	36.0%	(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 #s(literal -8 binary64) (*.f64 x.im x.re)) x.im))
	16.5%	(-.f64 x.re x.re)
	4.6%	(-.f64 x.re #s(literal 1 binary64))
✓	86.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	4.7%	(+.f64 x.re x.re)
	50.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	50.9%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
	2.7%	(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
✓	58.6%	(.f64 x.re (.f64 x.re x.re))
✓	15.6%	(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
	4.7%	(*.f64 x.re #s(literal 29 binary64))
	3.2%	(*.f64 x.re #s(literal -28 binary64))
	32.1%	(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
	50.9%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
	3.2%	(neg.f64 x.re)
✓	2.8%	#s(literal 1 binary64)
	2.7%	#s(literal -2 binary64)
✓	2.7%	#s(literal -27 binary64)

Compiler

Compiled 631 to 269 computations (57.4% saved)

regimes53.0ms (0.7%)

Counts

41 → 3

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))
(*.f64 x.re #s(literal 29 binary64))
(+.f64 x.re x.re)
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.re x.re))
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(-.f64 #s(literal -7 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (.f64 x.re #s(literal -7 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.im #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 #s(literal -8 binary64) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(-.f64 (.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Outputs

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

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

(*.f64 x.re (*.f64 x.re x.re))

Calls

3 calls:

22.0ms	x.re
16.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
12.0ms	x.im

Results

Accuracy	Segments	Branch
98.1%	3	`x.re`
93.5%	2	`x.im`
96.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes36.0ms (0.5%)

Counts

38 → 2

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))
(*.f64 x.re #s(literal 29 binary64))
(+.f64 x.re x.re)
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.re x.re))
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(-.f64 #s(literal -7 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (.f64 x.re #s(literal -7 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.im #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 #s(literal -8 binary64) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))

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

Calls

3 calls:

11.0ms	x.im
11.0ms	x.re
11.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
91.4%	2	`x.im`
92.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
92.1%	2	`x.re`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes10.0ms (0.1%)

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))
(*.f64 x.re #s(literal 29 binary64))
(+.f64 x.re x.re)
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.re x.re))
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(-.f64 #s(literal -7 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (.f64 x.re #s(literal -7 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.im #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -8 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 #s(literal -8 binary64) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im (neg.f64 (.f64 (+.f64 x.re #s(literal -8 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

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

Calls

1 calls:

9.0ms

(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
92.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes17.0ms (0.2%)

Counts

23 → 2

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))
(*.f64 x.re #s(literal 29 binary64))
(+.f64 x.re x.re)
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.re x.re))
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(-.f64 #s(literal -7 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (.f64 x.re #s(literal -7 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 x.im #s(literal 0 binary64)))
(-.f64 (.f64 (.f64 x.im #s(literal -8 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))

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

Calls

2 calls:

9.0ms	x.im
7.0ms	x.re

Results

Accuracy	Segments	Branch
74.7%	2	`x.im`
75.3%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))
(*.f64 x.re #s(literal 29 binary64))
(+.f64 x.re x.re)
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.re x.re))
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))
(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(-.f64 #s(literal -7 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

Outputs
(.f64 x.re (.f64 x.re x.re))
(.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))

Calls

2 calls:

6.0ms	x.im
6.0ms	x.re

Results

Accuracy	Segments	Branch
71.7%	2	`x.im`
63.4%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))
(*.f64 x.re #s(literal 29 binary64))
(+.f64 x.re x.re)
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.re x.re))
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 27 binary64) x.re)))

Outputs
(.f64 x.re (.f64 x.re x.re))
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))

Calls

2 calls:

7.0ms	x.im
6.0ms	x.re

Results

Accuracy	Segments	Branch
58.6%	1	`x.re`
60.3%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))
(*.f64 x.re #s(literal 29 binary64))
(+.f64 x.re x.re)
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -27 binary64) x.re)
(.f64 x.re (.f64 x.re #s(literal -27 binary64)))

Outputs
(-.f64 x.re x.re)
(*.f64 x.re #s(literal 29 binary64))

Calls

2 calls:

5.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
18.3%	2	`x.re`
18.2%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))
(*.f64 x.re #s(literal 29 binary64))
(+.f64 x.re x.re)
(-.f64 #s(literal -27 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))

Outputs
(+.f64 x.re x.re)

Calls

2 calls:

4.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
4.7%	1	`x.im`
4.7%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))
(*.f64 x.re #s(literal 29 binary64))

Outputs
(*.f64 x.re #s(literal 29 binary64))

Calls

2 calls:

3.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
4.7%	1	`x.im`
4.7%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -28 binary64))
(*.f64 x.re #s(literal -26 binary64))

Outputs
(neg.f64 x.re)

Calls

2 calls:

5.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
3.2%	1	`x.im`
3.2%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -27 binary64)
#s(literal -2 binary64)

Outputs
#s(literal -27 binary64)

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.592458040240603e+147	2.3676185408216577e+148
7.0ms	3.922583758481676e+84	7.2712150576999465e+84

Samples

18.0ms

160×

valid

Compiler

Compiled 272 to 184 computations (32.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (81.2% of total)

ival-sub: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

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

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.74855368369715e-219	6.299039495030854e-193

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.74855368369715e-219	6.299039495030854e-193

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.592458040240603e+147	2.3676185408216577e+148

Samples

7.0ms

96×

valid

Compiler

Compiled 156 to 100 computations (35.9% saved)

Precisions

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

ival-mult: 3.0ms (62.4% of total)

ival-sub: 1.0ms (20.8% of total)

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

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

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.1351026423551885e+145	3.4757059429142493e+146

Samples

13.0ms

112×

valid

Compiler

Compiled 178 to 121 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 8.0ms (80.8% of total)

ival-sub: 1.0ms (10.1% of total)

ival-add: 1.0ms (10.1% of total)

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

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.191242651028646e+222	2.7538718272799684e+230

Samples

11.0ms

144×

valid

Compiler

Compiled 168 to 115 computations (31.5% saved)

Precisions

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

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

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

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

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
12.0ms	1.194677622401912e-29	3.6554901228513446e-28

Samples

9.0ms

112×

valid

Compiler

Compiled 108 to 79 computations (26.9% saved)

Precisions

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

ival-mult: 4.0ms (70% of total)

ival-sub: 1.0ms (17.5% of total)

ival-add: 1.0ms (17.5% of total)

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

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
18×	`+-commutative`
15×	`sub-neg`
10×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	766
1	113	766
2	150	766
3	177	766
4	187	766
5	189	766

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 7199999999999999898288615257142172199941633644314752853272728502510937167732540440576 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))) (if (<=.f64 x.re #s(literal 23499999999999998595660684414294259032480822476706540298488087136516398517330560275353943663646422705497744354440456329352515651559038955019319640064 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 0 binary64)) (.f64 x.re (*.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 3974446316289815/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 3974446316289815/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (.f64 x.re (.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 23499999999999998595660684414294259032480822476706540298488087136516398517330560275353943663646422705497744354440456329352515651559038955019319640064 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 0 binary64)) (.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 167999999999999991512219012709718831941790703231341942031575278905425299895901343425657956414986689733845295345857038062472844086225460473953779712 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re)))))
(if (<=.f64 x.im #s(literal 3800000000000000184442838564140204336471647867147812004130279058481526763169855138761697428438767668994509657890434961250939589840637939080220976257838458289075037952329291269327309484994894148424201782348286472514623002292256768 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re #s(literal -27 binary64))))
(if (<=.f64 x.re #s(literal 5173772886059105/178405961588244985132285746181186892047843328 binary64)) (-.f64 x.re x.re) (*.f64 x.re #s(literal 29 binary64)))
(+.f64 x.re x.re)
(*.f64 x.re #s(literal 29 binary64))
(neg.f64 x.re)
#s(literal 1 binary64)
#s(literal -27 binary64)

Outputs
(if (<=.f64 x.re #s(literal 7199999999999999898288615257142172199941633644314752853272728502510937167732540440576 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))) (if (<=.f64 x.re #s(literal 23499999999999998595660684414294259032480822476706540298488087136516398517330560275353943663646422705497744354440456329352515651559038955019319640064 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 0 binary64)) (.f64 x.re (*.f64 x.re x.re))))
(if (<=.f64 x.re #s(literal 7199999999999999898288615257142172199941633644314752853272728502510937167732540440576 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))) (if (<=.f64 x.re #s(literal 23499999999999998595660684414294259032480822476706540298488087136516398517330560275353943663646422705497744354440456329352515651559038955019319640064 binary64)) (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (*.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 3974446316289815/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 3974446316289815/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 3974446316289815/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (.f64 x.re (.f64 x.re x.re)))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 3974446316289815/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))) (.f64 x.re (.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 23499999999999998595660684414294259032480822476706540298488087136516398517330560275353943663646422705497744354440456329352515651559038955019319640064 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 0 binary64)) (.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 23499999999999998595660684414294259032480822476706540298488087136516398517330560275353943663646422705497744354440456329352515651559038955019319640064 binary64)) (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (*.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 167999999999999991512219012709718831941790703231341942031575278905425299895901343425657956414986689733845295345857038062472844086225460473953779712 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (+.f64 (.f64 #s(literal -8 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re)))))
(if (<=.f64 x.im #s(literal 167999999999999991512219012709718831941790703231341942031575278905425299895901343425657956414986689733845295345857038062472844086225460473953779712 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 x.im (+.f64 (.f64 x.re #s(literal -8 binary64)) (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))))
(if (<=.f64 x.im #s(literal 3800000000000000184442838564140204336471647867147812004130279058481526763169855138761697428438767668994509657890434961250939589840637939080220976257838458289075037952329291269327309484994894148424201782348286472514623002292256768 binary64)) (.f64 x.re (.f64 x.re x.re)) (.f64 x.re (.f64 x.re #s(literal -27 binary64))))
(if (<=.f64 x.re #s(literal 5173772886059105/178405961588244985132285746181186892047843328 binary64)) (-.f64 x.re x.re) (*.f64 x.re #s(literal 29 binary64)))
(+.f64 x.re x.re)
(*.f64 x.re #s(literal 29 binary64))
(neg.f64 x.re)
#s(literal 1 binary64)
#s(literal -27 binary64)

soundness1.6s (21.2%)

Rules

1 069×	`log1p-expm1-u`
1 017×	`unsub-neg`
905×	`fma-define`
562×	`fma-define`
491×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	358	15515
1	1000	14421
2	2775	13511
0	612	20063
1	1742	20063
0	33	315
1	606	246
0	810	3166
1	2769	3166
0	42	591
1	149	519
2	395	483
3	1507	301
4	4579	301
5	6861	301
6	7620	301
0	27	421
1	452	347
2	6267	347
0	32	588
1	510	588

Stop Event

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

Compiler

Compiled 829 to 261 computations (68.5% saved)

preprocess147.0ms (1.9%)

Remove: (abs x.im)
Compiler: Compiled 900 to 422 computations (53.1% saved)

analyze0.0ms (0%)

sample1.2s (15%)

preprocess126.0ms (1.6%)

explain161.0ms (2.1%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify98.0ms (1.3%)

localize86.0ms (1.1%)

series29.0ms (0.4%)

rewrite342.0ms (4.4%)

simplify183.0ms (2.4%)

eval62.0ms (0.8%)

prune468.0ms (6.1%)

simplify13.0ms (0.2%)

localize124.0ms (1.6%)

series27.0ms (0.3%)

rewrite75.0ms (1%)

simplify318.0ms (4.1%)

eval143.0ms (1.8%)

prune467.0ms (6%)

simplify55.0ms (0.7%)

localize167.0ms (2.2%)

series70.0ms (0.9%)

rewrite143.0ms (1.8%)

simplify148.0ms (1.9%)

eval168.0ms (2.2%)

prune135.0ms (1.8%)

simplify118.0ms (1.5%)

localize75.0ms (1%)

series7.0ms (0.1%)

rewrite244.0ms (3.2%)

simplify152.0ms (2%)

eval72.0ms (0.9%)

prune225.0ms (2.9%)

regimes53.0ms (0.7%)

regimes36.0ms (0.5%)

regimes10.0ms (0.1%)

regimes17.0ms (0.2%)

regimes13.0ms (0.2%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch25.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch15.0ms (0.2%)

simplify14.0ms (0.2%)

soundness1.6s (21.2%)

preprocess147.0ms (1.9%)

end0.0ms (0%)

Profiling