Metrics for math.cube on complex, real part

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

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)

sample1.1s (15.7%)

Memory

17.6MiB live, 1 801.1MiB allocated

Samples

934.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 501.0ms

ival-mult: 374.0ms (74.7% of total)

ival-sub: 74.0ms (14.8% of total)

ival-add: 44.0ms (8.8% of total)

ival-true: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess133.0ms (1.8%)

Memory

4.4MiB live, 85.2MiB allocated

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)

explain162.0ms (2.2%)

Memory

7.3MiB live, 324.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
27	-	-	`(-.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))`
18	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
14	-	-	`(-.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	27	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	114
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	110
↳	`(*.f64 x.im x.im)`	overflow	59
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	59
↳	`(*.f64 x.im x.re)`	overflow	32
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	32
↳	`(*.f64 x.re x.im)`	overflow	32
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	18	0
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	14	0
↳	`(*.f64 x.re x.re)`	overflow	65
↳	`(*.f64 x.im x.im)`	overflow	59

Confusion

	Predicted +	Predicted -
+	49	0
-	0	207

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	49	0	0
-	0	0	207

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	207
1	39
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms

512×

valid

Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions

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

ival-mult: 20.0ms (67.5% of total)

ival-sub: 6.0ms (20.2% of total)

ival-add: 2.0ms (6.7% of total)

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

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

eval1.0ms (0%)

Memory: 3.0MiB live, 3.0MiB allocated
Compiler: Compiled 75 to 29 computations (61.3% saved)

prune2.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.1%	(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))))
▶	81.1%	(-.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))
▶	79.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶	79.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Compiler

Compiled 65 to 39 computations (40% saved)

simplify102.0ms (1.4%)

Memory

7.0MiB live, 44.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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))
✓	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))

Rules

589×	`fma-define`
579×	`fmm-def`
516×	`sub-neg`
406×	`cancel-sign-sub-inv`
322×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	652
1	72	620
2	159	620
3	356	617
4	947	617
5	3160	617
6	5880	617
7	7644	617

Stop Event

1×	node limit

Calls

Call 1

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

localize98.0ms (1.3%)

Memory

-17.3MiB live, 219.1MiB allocated

Localize:

Found 16 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	95.3%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	84.7%	(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	95.3%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.2%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	91.5%	(-.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	88.7%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	88.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.7%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	88.7%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	accuracy	88.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Samples

54.0ms

256×

valid

Compiler

Compiled 180 to 28 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 21.0ms (59.6% of total)

ival-add: 9.0ms (25.5% of total)

ival-pow: 3.0ms (8.5% of total)

ival-sub: 2.0ms (5.7% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series122.0ms (1.7%)

Memory

-10.5MiB live, 71.6MiB allocated

Counts

18 → 360

Calls

Call 1

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

93 calls:

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

rewrite425.0ms (5.8%)

Memory

7.8MiB live, 512.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

817×	`log1p-expm1-u`
260×	`associate-r`
212×	`expm1-log1p-u`
208×	`add-cube-cbrt`
207×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	512
1	547	434
2	6894	434

Stop Event

1×	node limit

Counts

18 → 449

Calls

Call 1

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

simplify113.0ms (1.6%)

Memory

10.7MiB live, 243.9MiB allocated

Algorithm

1×	egg-herbie

Rules

129×	`*-commutative`
72×	`+-commutative`
52×	`sub-neg`
39×	`fma-undefine`
34×	`cube-mult`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	3576
1	2881	3576

Stop Event

1×

unsound

Counts

809 → 469

Calls

Call 1

Inputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(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 (cbrt.f64 (pow.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))))
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(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))))
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(/.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))))
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(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)))))
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(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)))
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(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)))))
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Outputs
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#s(literal -27 binary64)
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#s(literal -27 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)))) (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 2 binary64))))
#s(literal -27 binary64)
(.f64 (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 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 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 -27 binary64)

eval75.0ms (1%)

Memory: -20.0MiB live, 177.0MiB allocated
Compiler: Compiled 12 294 to 1 701 computations (86.2% saved)

prune220.0ms (3%)

Memory

-0.1MiB live, 238.6MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	594	10	604
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	596	12	608

Accuracy

100.0%

Counts

608 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.7%	(fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
▶	88.5%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
▶	64.4%	(pow.f64 x.re #s(literal 3 binary64))
▶	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)))
	81.1%	(-.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))
	82.7%	(-.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))
▶	51.7%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	86.1%	(+.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)))
✓	79.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	79.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶	79.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
	43.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))

Compiler

Compiled 320 to 208 computations (35% saved)

simplify12.0ms (0.2%)

Memory

23.7MiB live, 23.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	64	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 x.re #s(literal -27 binary64))
✓	cost-diff	0	(+.f64 x.im x.re)
✓	cost-diff	0	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
✓	cost-diff	0	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
✓	cost-diff	-6208	(-.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)))
✓	cost-diff	0	(*.f64 x.im #s(literal 0 binary64))
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	128	(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Rules

17×	`*-commutative`
13×	`fma-define`
12×	`distribute-lft-in`
10×	`distribute-rgt-in`
10×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	638
1	89	638
2	217	638

Stop Event

1×

unsound

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#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 -27 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 -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
x.im
x.re
(+.f64 x.re #s(literal -27 binary64))
#s(literal -27 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 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 x.re (.f64 #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)))
#s(literal -3 binary64)
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)

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

localize94.0ms (1.3%)

Memory

-18.4MiB live, 175.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.im #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
✓	accuracy	100.0%	(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
	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 -27 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 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%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))

Samples

55.0ms

256×

invalid

Compiler

Compiled 178 to 33 computations (81.5% saved)

Precisions

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

ival-mult: 21.0ms (57.9% of total)

ival-add: 5.0ms (13.8% of total)

ival-sub: 3.0ms (8.3% of total)

ival-pow: 3.0ms (8.3% of total)

ival-pow2: 2.0ms (5.5% of total)

ival-div: 1.0ms (2.8% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series14.0ms (0.2%)

Memory

25.8MiB live, 25.8MiB allocated

Counts

14 → 192

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re x.im)>
#<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 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))>
#<alt (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)>
#<alt (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.re #s(literal -27 binary64))>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (.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 x.im x.re)>
#<alt (pow.f64 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 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))))>
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#<alt (-.f64 x.re #s(literal 27 binary64))>
#<alt x.re>
#<alt (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt x.re>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal 27 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 27 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 27 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 (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) (.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))>

Calls

69 calls:

Time	Variable		Point	Expression
1.0ms	x.im	@	inf	(* (* (+ x.im x.re) (+ x.re -27)) x.re)
1.0ms	x.im	@	0	(* (* (+ x.im x.re) (+ x.re -27)) x.re)
1.0ms	x.im	@	-inf	(* (* (+ x.im x.re) (+ x.re -27)) x.re)
1.0ms	x.re	@	-inf	(* (* (+ x.im x.re) (+ x.re -27)) x.re)
1.0ms	x.re	@	inf	(* (* (+ x.im x.re) (+ x.re -27)) x.re)

rewrite74.0ms (1%)

Memory

-0.2MiB live, 80.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

226×	`associate-r`
226×	`log1p-expm1-u`
226×	`expm1-log1p-u`
220×	`add-cube-cbrt`
216×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	385
1	538	385

Stop Event

1×	node limit

Counts

14 → 417

Calls

Call 1

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

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

simplify241.0ms (3.3%)

Memory

-17.1MiB live, 296.8MiB allocated

Algorithm

1×	egg-herbie

Rules

873×	`fma-define`
708×	`fmm-def`
507×	`distribute-lft-in`
476×	`distribute-rgt-in`
327×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	337	11798
1	950	11120
2	2573	10416
3	7804	10300

Stop Event

1×	node limit

Counts

609 → 352

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)))
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(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 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 -3 binary64))
(hypot.f64 #s(literal -3 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 -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 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 -3 binary64))
(hypot.f64 #s(literal -3 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 -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 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 -3 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 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 -3 binary64))
(hypot.f64 #s(literal -3 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 -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 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)

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 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.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))))
(.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))))
(.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))))
(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 (.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 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)) (+.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 (.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 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)) (+.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 (.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 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)))
(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 (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)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.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)) (neg.f64 (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 (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)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.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)) (neg.f64 (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 (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)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.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)) (neg.f64 (pow.f64 x.re #s(literal 3 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))))
(+.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))))
(+.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))))
(.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 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.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 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.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 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 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 -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.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 (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 (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)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.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 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.re)))
(.f64 x.re (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
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(/.f64 (.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.re #s(literal -19683 binary64))) (+.f64 x.re (-.f64 #s(literal 729 binary64) (.f64 x.re #s(literal -27 binary64)))))
(/.f64 (.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.re #s(literal -19683 binary64))) (+.f64 x.re (+.f64 #s(literal 729 binary64) (.f64 x.re #s(literal 27 binary64)))))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (/.f64 (+.f64 x.re #s(literal -19683 binary64)) (+.f64 #s(literal 729 binary64) (.f64 x.re #s(literal 28 binary64)))))
(*.f64 (+.f64 x.re #s(literal -27 binary64)) (/.f64 (-.f64 #s(literal 19683 binary64) x.re) (fma.f64 x.re #s(literal -28 binary64) #s(literal -729 binary64))))
(/.f64 (*.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.re #s(literal -729 binary64))) (+.f64 x.re #s(literal 27 binary64)))
(*.f64 (+.f64 x.re #s(literal -27 binary64)) (/.f64 (+.f64 x.re #s(literal -729 binary64)) (+.f64 x.re #s(literal 27 binary64))))
(/.f64 (.f64 (+.f64 x.re #s(literal -19683 binary64)) (+.f64 x.re #s(literal -27 binary64))) (-.f64 (+.f64 x.re #s(literal 729 binary64)) (.f64 x.re #s(literal -27 binary64))))
(/.f64 (.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.re #s(literal -19683 binary64))) (+.f64 x.re (-.f64 #s(literal 729 binary64) (.f64 x.re #s(literal -27 binary64)))))
(/.f64 (.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.re #s(literal -19683 binary64))) (+.f64 x.re (+.f64 #s(literal 729 binary64) (.f64 x.re #s(literal 27 binary64)))))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (/.f64 (+.f64 x.re #s(literal -19683 binary64)) (+.f64 #s(literal 729 binary64) (.f64 x.re #s(literal 28 binary64)))))
(*.f64 (+.f64 x.re #s(literal -27 binary64)) (/.f64 (-.f64 #s(literal 19683 binary64) x.re) (fma.f64 x.re #s(literal -28 binary64) #s(literal -729 binary64))))
(/.f64 (*.f64 (+.f64 x.re #s(literal -729 binary64)) (+.f64 x.re #s(literal -27 binary64))) (+.f64 x.re #s(literal 27 binary64)))
(*.f64 (+.f64 x.re #s(literal -27 binary64)) (/.f64 (+.f64 x.re #s(literal -729 binary64)) (+.f64 x.re #s(literal 27 binary64))))
(pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal -3 binary64))
(pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 x.re #s(literal -27 binary64)))
(sqrt.f64 (+.f64 x.re #s(literal -27 binary64)))
(fabs.f64 (+.f64 x.re #s(literal -27 binary64)))
(fabs.f64 (-.f64 #s(literal 27 binary64) x.re))
(log.f64 (exp.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 x.re #s(literal -27 binary64))
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 (+.f64 x.re #s(literal -27 binary64)))))
(log.f64 (+.f64 (exp.f64 (+.f64 x.re #s(literal -27 binary64))) #s(literal -4 binary64)))
(cbrt.f64 (+.f64 x.re #s(literal -27 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 (+.f64 #s(literal -26 binary64) x.re) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 x.re #s(literal -26 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 x.re #s(literal -27 binary64))
(exp.f64 (log.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 x.re #s(literal -27 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 x.re #s(literal -27 binary64))) #s(literal -3 binary64)))
(pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal -3 binary64))
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -27 binary64))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 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 -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(-.f64 (*.f64 #s(literal -3 binary64) x.re) x.re)
(*.f64 x.re #s(literal -4 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(-.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.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 #s(literal 2 binary64) (neg.f64 x.re)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 (.f64 #s(literal 2 binary64) x.re) (.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 5 binary64))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) (neg.f64 x.re) x.re)
(*.f64 x.re #s(literal 4 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)))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(-.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 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 -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(-.f64 (*.f64 #s(literal -3 binary64) x.re) x.re)
(*.f64 x.re #s(literal -4 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(-.f64 #s(literal 9 binary64) x.re)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 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 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.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 #s(literal 2 binary64) (neg.f64 x.re)))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 (.f64 #s(literal 2 binary64) x.re) (.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 5 binary64))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) (neg.f64 x.re) x.re)
(*.f64 x.re #s(literal 4 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)))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(-.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 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 -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(-.f64 (*.f64 #s(literal -3 binary64) x.re) x.re)
(*.f64 x.re #s(literal -4 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(-.f64 #s(literal 9 binary64) x.re)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 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)

eval142.0ms (2%)

Memory: 20.1MiB live, 139.4MiB allocated
Compiler: Compiled 8 961 to 1 601 computations (82.1% saved)

prune297.0ms (4.1%)

Memory

-20.7MiB live, 177.8MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	507	19	526
Fresh	2	3	5
Picked	3	2	5
Done	2	0	2
Total	514	24	538

Accuracy

100.0%

Counts

538 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.7%	(fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
▶	88.2%	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	88.5%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	64.4%	(pow.f64 x.re #s(literal 3 binary64))
	2.5%	(/.f64 #s(literal -3 binary64) x.re)
	16.6%	(-.f64 (+.f64 #s(literal -27 binary64) (.f64 x.re #s(literal -25 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	81.1%	(-.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))
▶	52.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	28.5%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	17.9%	(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	28.5%	(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	15.9%	(-.f64 x.re x.re)
▶	4.8%	(-.f64 x.re #s(literal 1 binary64))
	2.4%	(-.f64 #s(literal -3 binary64) x.re)
	16.7%	(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	86.1%	(+.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)))
	3.9%	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
	43.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
	43.9%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
	37.8%	(*.f64 x.re x.re)
	2.7%	(*.f64 x.re #s(literal -1/3 binary64))
	2.7%	(*.f64 x.re #s(literal -3 binary64))
	43.9%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
▶	2.8%	#s(literal 1 binary64)

Compiler

Compiled 467 to 316 computations (32.3% saved)

simplify100.0ms (1.4%)

Memory

1.1MiB live, 39.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
✓	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	-6336	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	cost-diff	-6336	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 x.re #s(literal 1 binary64))
✓	cost-diff	0	(cbrt.f64 (*.f64 x.im #s(literal -3 binary64)))
	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))
✓	cost-diff	12864	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Rules

607×	`unsub-neg`
569×	`sub-neg`
508×	`fma-define`
407×	`fmm-def`
392×	`distribute-lft-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	475
1	73	475
2	155	475
3	400	469
4	924	469
5	2820	466
6	5153	466
7	7041	466

Stop Event

1×	node limit

Calls

Call 1

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

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

localize185.0ms (2.5%)

Memory

-12.8MiB live, 191.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	accuracy	96.3%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	95.5%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	93.4%	(-.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))
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	accuracy	96.3%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	95.5%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	100.0%	(-.f64 x.re #s(literal 1 binary64))
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.4%	(cbrt.f64 (*.f64 x.im #s(literal -3 binary64)))
✓	accuracy	99.3%	(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))
✓	accuracy	92.9%	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Samples

73.0ms	84×	5	exit
28.0ms	172×	0	valid

Compiler

Compiled 137 to 25 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-pow: 22.0ms (29.8% of total)

adjust: 18.0ms (24.4% of total)

ival-mult: 18.0ms (24.4% of total)

ival-cbrt: 6.0ms (8.1% of total)

ival-sub: 5.0ms (6.8% of total)

ival-add: 3.0ms (4.1% of total)

...in/eval/compile.rkt:110:19: 1.0ms (1.4% of total)

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

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

series27.0ms (0.4%)

Memory

6.3MiB live, 47.5MiB allocated

Counts

8 → 153

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	x.re	@	0	(+ (* (* x.re x.im) (pow (cbrt (* x.im -3)) 3)) (pow x.re 3))
3.0ms	x.im	@	-inf	(* (* x.re x.im) 2)
2.0ms	x.im	@	-inf	(+ (* (* x.re x.im) (pow (cbrt (* x.im -3)) 3)) (pow x.re 3))
2.0ms	x.im	@	inf	(cbrt (* x.im -3))
2.0ms	x.im	@	0	(cbrt (* x.im -3))

rewrite193.0ms (2.7%)

Memory

29.7MiB live, 106.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 217×	`log1p-expm1-u`
333×	`expm1-log1p-u`
180×	`add-cube-cbrt`
178×	`pow1`
177×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	223
1	435	219
2	5702	219

Stop Event

1×	node limit

Counts

8 → 221

Calls

Call 1

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

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

simplify353.0ms (4.9%)

Memory

-29.4MiB live, 284.8MiB allocated

Algorithm

1×	egg-herbie

Rules

974×	`times-frac`
722×	`fmm-def`
362×	`associate-r`
334×	`associate-l`
242×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	567	14974
1	1312	13724
2	4843	13694

Stop Event

1×	node limit

Counts

374 → 339

Calls

Call 1

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

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

eval91.0ms (1.3%)

Memory: 6.5MiB live, 132.9MiB allocated
Compiler: Compiled 12 478 to 1 667 computations (86.6% saved)

prune215.0ms (3%)

Memory

-3.6MiB live, 192.7MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	619	5	624
Fresh	1	16	17
Picked	2	3	5
Done	0	2	2
Total	622	26	648

Accuracy

100.0%

Counts

648 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.7%	(fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
✓	88.2%	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
▶	88.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
✓	88.5%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	64.4%	(pow.f64 x.re #s(literal 3 binary64))
	2.5%	(/.f64 #s(literal -3 binary64) x.re)
	16.6%	(-.f64 (+.f64 #s(literal -27 binary64) (.f64 x.re #s(literal -25 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	81.1%	(-.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))
✓	52.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	28.5%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	17.9%	(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	28.5%	(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	15.9%	(-.f64 x.re x.re)
	2.4%	(-.f64 #s(literal -3 binary64) x.re)
▶	16.7%	(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	86.1%	(+.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)))
	3.9%	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
	43.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	43.9%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
▶	37.8%	(*.f64 x.re x.re)
	2.7%	(*.f64 x.re #s(literal -1/3 binary64))
	2.7%	(*.f64 x.re #s(literal -3 binary64))
▶	43.9%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
	4.9%	x.re
	2.5%	#s(literal -1/2 binary64)
▶	2.5%	#s(literal -1 binary64)

Compiler

Compiled 452 to 309 computations (31.6% saved)

simplify177.0ms (2.4%)

Memory

9.8MiB live, 48.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x.im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
✓	cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
	cost-diff	-6208	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	0	(*.f64 x.im x.re)
	cost-diff	0	(*.f64 x.re x.im)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	6528	(fma.f64 (.f64 x.re x.im) (.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))
✓	cost-diff	12864	(*.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))

Rules

1 183×	`fma-define`
446×	`fmm-def`
311×	`unsub-neg`
162×	`associate-r`
134×	`distribute-lft-neg-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	310
1	52	286
2	93	276
3	216	276
4	467	273
5	732	273
6	1004	273
7	1637	273
8	2935	273
9	3643	273
10	3774	273
11	3774	273
12	3774	273
13	3778	273

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))
(cbrt.f64 #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal -1 binary64)
(*.f64 x.re x.re)
x.re
(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(literal -26 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)
x.re
x.im
(*.f64 x.im x.re)
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -3 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
x.re

Outputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))
(*.f64 x.im #s(literal -3 binary64))
(pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))
#s(literal -3 binary64)
(cbrt.f64 #s(literal -3 binary64))
#s(literal -3 binary64)
#s(literal 3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal -1 binary64)
(*.f64 x.re x.re)
x.re
(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 #s(literal -26 binary64) (.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im))))
(-.f64 #s(literal -26 binary64) (.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(fma.f64 x.im (.f64 #s(literal -2 binary64) (.f64 x.re x.im)) #s(literal -26 binary64))
(fma.f64 x.im (.f64 x.re (.f64 #s(literal -2 binary64) x.im)) #s(literal -26 binary64))
(fma.f64 x.re (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -26 binary64))
(fma.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -26 binary64))
#s(literal -26 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 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal 2 binary64)))
(.f64 x.re (.f64 #s(literal 2 binary64) (pow.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 (.f64 x.re x.im) #s(literal 2 binary64))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
#s(literal -3 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
x.re

localize207.0ms (2.8%)

Memory

24.9MiB live, 219.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.im #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
✓	accuracy	92.7%	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64)))
✓	accuracy	100.0%	(cbrt.f64 #s(literal -3 binary64))
✓	accuracy	99.0%	(pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))
✓	accuracy	92.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))

Samples

61.0ms	84×	5	exit
34.0ms	172×	0	valid

Compiler

Compiled 97 to 24 computations (75.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-pow: 25.0ms (36.8% of total)

ival-mult: 20.0ms (29.4% of total)

adjust: 9.0ms (13.2% of total)

ival-cbrt: 6.0ms (8.8% of total)

ival-add: 4.0ms (5.9% of total)

ival-sub: 2.0ms (2.9% of total)

ival-pow2: 2.0ms (2.9% of total)

...in/eval/compile.rkt:110:19: 1.0ms (1.5% of total)

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

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

series7.0ms (0.1%)

Memory

-27.7MiB live, 11.3MiB allocated

Counts

8 → 24

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite122.0ms (1.7%)

Memory

21.6MiB live, 100.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

875×	`log1p-expm1-u`
875×	`expm1-log1p-u`
554×	`log-prod`
506×	`prod-diff`
177×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	122
1	271	122
2	2613	119

Stop Event

1×	node limit

Counts

8 → 144

Calls

Call 1

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

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

simplify122.0ms (1.7%)

Memory

2.2MiB live, 89.4MiB allocated

Algorithm

1×	egg-herbie

Rules

484×	`fmm-def`
416×	`distribute-lft-in`
341×	`distribute-rgt-in`
327×	`*-commutative`
264×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	348	4383
1	614	4359
2	1849	4346
3	5025	4340

Stop Event

1×	node limit

Counts

168 → 179

Calls

Call 1

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

Outputs
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 x.re (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (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 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (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 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (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 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (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 -1 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (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)))
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eval37.0ms (0.5%)

Memory: -3.4MiB live, 71.9MiB allocated
Compiler: Compiled 4 316 to 1 046 computations (75.8% saved)

prune141.0ms (1.9%)

Memory

7.7MiB live, 125.3MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	312	3	315
Fresh	5	11	16
Picked	2	3	5
Done	0	5	5
Total	319	22	341

Accuracy

100.0%

Counts

341 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.7%	(fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
✓	88.2%	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	88.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
✓	88.5%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	64.4%	(pow.f64 x.re #s(literal 3 binary64))
	2.5%	(/.f64 #s(literal -3 binary64) x.re)
✓	81.1%	(-.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))
✓	52.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	15.9%	(-.f64 x.re x.re)
	2.4%	(-.f64 #s(literal -3 binary64) x.re)
	16.7%	(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	3.9%	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
	43.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	43.9%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
✓	37.8%	(*.f64 x.re x.re)
	2.7%	(*.f64 x.re #s(literal -1/3 binary64))
	2.7%	(*.f64 x.re #s(literal -3 binary64))
	50.4%	(.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)))
	43.9%	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
	4.9%	x.re
	2.5%	#s(literal -1/2 binary64)
✓	2.5%	#s(literal -1 binary64)

Compiler

Compiled 561 to 237 computations (57.8% saved)

regimes43.0ms (0.6%)

Memory

-5.7MiB live, 72.7MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x.re
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 #s(literal -26 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 1/2 binary64))
(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 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 #s(literal -27 binary64) (.f64 x.re #s(literal -25 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 (.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 -27 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))
(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 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.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 #s(literal -3 binary64) (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)))
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 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)))
(fma.f64 (.f64 x.re x.im) (.f64 x.im (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Outputs
(.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))

Calls

3 calls:

16.0ms	x.re
12.0ms	(-.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
96.7%	2	`x.re`
91.6%	2	`x.im`
97.8%	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)

regimes26.0ms (0.4%)

Memory

-16.7MiB live, 56.4MiB allocated

Counts

34 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x.re
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 #s(literal -26 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 1/2 binary64))
(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 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 #s(literal -27 binary64) (.f64 x.re #s(literal -25 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 (.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 -27 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))
(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 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.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))))

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

2 calls:

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))
10.0ms	x.re

Results

Accuracy	Segments	Branch
91.3%	2	`x.re`
91.7%	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 24 to 13 computations (45.8% saved)

regimes25.0ms (0.4%)

Memory

26.4MiB live, 65.0MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x.re
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 #s(literal -26 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 1/2 binary64))
(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 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 #s(literal -27 binary64) (.f64 x.re #s(literal -25 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 (.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 -27 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))

Outputs
(-.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 x.re x.re)

Calls

3 calls:

9.0ms	x.re
8.0ms	x.im
7.0ms	(-.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
91.3%	2	`x.re`
82.7%	1	`x.im`
91.0%	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)

regimes12.0ms (0.2%)

Memory

-17.8MiB live, 26.1MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x.re
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 #s(literal -26 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 1/2 binary64))
(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 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 #s(literal -27 binary64) (.f64 x.re #s(literal -25 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 (.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 -27 binary64))) 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 x.re)

Calls

1 calls:

10.0ms

x.re

Results

Accuracy	Segments	Branch
90.9%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

2.2MiB live, 41.5MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x.re
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 #s(literal -26 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 1/2 binary64))
(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im #s(literal -27 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 #s(literal -27 binary64) (.f64 x.re #s(literal -25 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

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

Calls

2 calls:

7.0ms	x.im
7.0ms	x.re

Results

Accuracy	Segments	Branch
56.4%	2	`x.im`
82.3%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
x.re
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

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

Calls

1 calls:

5.0ms

x.re

Results

Accuracy	Segments	Branch
66.2%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

-9.9MiB live, 29.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
39.5%	2	`x.im`
40.6%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes61.0ms (0.8%)

Memory

-20.4MiB live, 19.1MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
37.8%	1	`x.im`
37.8%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
x.re

Calls

2 calls:

3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
4.9%	1	`x.re`
4.9%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

3 → 1

Calls

Call 1

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

regimes4.0ms (0%)

Memory

9.4MiB live, 9.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal -1 binary64)

Calls

2 calls:

2.0ms	x.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
2.5%	1	`x.im`
2.5%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.375354e-318	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.768627098549076e+219	7.162811460250851e+231

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch16.0ms (0.2%)

Memory

-24.4MiB live, 24.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.003907267908617e+158	5.909548015333948e+159

Samples

11.0ms

112×

valid

Compiler

Compiled 220 to 128 computations (41.8% saved)

Precisions

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

ival-mult: 7.0ms (80.4% of total)

ival-sub: 1.0ms (11.5% of total)

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

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

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

bsearch12.0ms (0.2%)

Memory

-16.2MiB live, 22.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.1619877550182325e+153	1.6699499001960296e+154

Samples

8.0ms

96×

valid

Compiler

Compiled 180 to 112 computations (37.8% saved)

Precisions

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

ival-mult: 4.0ms (68.8% of total)

ival-sub: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

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

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

bsearch27.0ms (0.4%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.1619877550182325e+153	1.6699499001960296e+154
14.0ms	1.8459126715552277e-5	1629.9374070258252

Samples

17.0ms

240×

valid

Compiler

Compiled 360 to 238 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (69.4% of total)

ival-sub: 2.0ms (17.4% of total)

ival-add: 1.0ms (8.7% of total)

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

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

bsearch66.0ms (0.9%)

Memory

-21.1MiB live, 17.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
64.0ms	1.2069397633099167e+146	3.8293234182120374e+147

Samples

61.0ms

112×

valid

Compiler

Compiled 136 to 93 computations (31.6% saved)

Precisions

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

ival-mult: 4.0ms (71.4% of total)

ival-sub: 1.0ms (17.8% of total)

ival-add: 1.0ms (17.8% of total)

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

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

bsearch13.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.970496717577997e-66	2.095941546889092e-64

Samples

8.0ms

112×

valid

Compiler

Compiled 108 to 72 computations (33.3% saved)

Precisions

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

ival-mult: 4.0ms (72.5% of total)

ival-sub: 1.0ms (18.1% of total)

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

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

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

simplify98.0ms (1.3%)

Memory

-23.1MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative`
19×	`+-commutative`
17×	`sub-neg`
10×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	737
1	105	737
2	145	737
3	170	737
4	182	737
5	184	737

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))
(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 9999999999999999964372420736895110140590976995965873111133270039707753382929110612616471611327211972294570543930316627036907428807379455975076991793273996897499632136492752791807556010476755711238558435947154812096741376 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 x.re #s(literal 2749999999999999900887550662087914354515680473699986992001001900081722581687113828238902609505727680338015314420524422434771365300601112268651662905559828398080 binary64)) (-.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 x.re x.re))
(if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 x.re))
(if (<=.f64 x.re #s(literal 95 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/2 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 3600000000000000204708353338339018248542978458335855122671268200372967478681896027674155697219801649584544951359826276060678358751957882310263570432 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 1096782669255859/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(literal 1 binary64)
#s(literal -1 binary64)

Outputs
(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 -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))
(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 -404805/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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)))
(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 9999999999999999964372420736895110140590976995965873111133270039707753382929110612616471611327211972294570543930316627036907428807379455975076991793273996897499632136492752791807556010476755711238558435947154812096741376 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 9999999999999999964372420736895110140590976995965873111133270039707753382929110612616471611327211972294570543930316627036907428807379455975076991793273996897499632136492752791807556010476755711238558435947154812096741376 binary64)) (-.f64 (.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)))) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 x.re #s(literal 2749999999999999900887550662087914354515680473699986992001001900081722581687113828238902609505727680338015314420524422434771365300601112268651662905559828398080 binary64)) (-.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 x.re x.re))
(if (<=.f64 x.re #s(literal 2749999999999999900887550662087914354515680473699986992001001900081722581687113828238902609505727680338015314420524422434771365300601112268651662905559828398080 binary64)) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 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 x.re))
(if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.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 x.re))
(if (<=.f64 x.re #s(literal 95 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/2 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 95 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 3600000000000000204708353338339018248542978458335855122671268200372967478681896027674155697219801649584544951359826276060678358751957882310263570432 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 3600000000000000204708353338339018248542978458335855122671268200372967478681896027674155697219801649584544951359826276060678358751957882310263570432 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 1096782669255859/29642774844752946028434172162224104410437116074403984394101141506025761187823616 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(literal 1 binary64)
#s(literal -1 binary64)

soundness1.3s (17.8%)

Memory

22.0MiB live, 621.7MiB allocated

Rules

1 017×	`unsub-neg`
875×	`log1p-expm1-u`
875×	`expm1-log1p-u`
873×	`fma-define`
817×	`log1p-expm1-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	11798
1	950	11120
2	2573	10416
3	7804	10300
0	33	385
1	538	385
0	31	512
1	547	434
2	6894	434
0	42	591
1	149	519
2	395	483
3	1507	301
4	4579	301
5	6861	301
6	7620	301
0	22	122
1	271	122
2	2613	119

Stop Event

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

Compiler

Compiled 784 to 224 computations (71.4% saved)

preprocess80.0ms (1.1%)

Memory: -7.1MiB live, 186.5MiB allocated
Remove: (abs x.im)
Compiler: Compiled 1 082 to 532 computations (50.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.1s (15.7%)

preprocess133.0ms (1.8%)

explain162.0ms (2.2%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify102.0ms (1.4%)

localize98.0ms (1.3%)

series122.0ms (1.7%)

rewrite425.0ms (5.8%)

simplify113.0ms (1.6%)

eval75.0ms (1%)

prune220.0ms (3%)

simplify12.0ms (0.2%)

localize94.0ms (1.3%)

series14.0ms (0.2%)

rewrite74.0ms (1%)

simplify241.0ms (3.3%)

eval142.0ms (2%)

prune297.0ms (4.1%)

simplify100.0ms (1.4%)

localize185.0ms (2.5%)

series27.0ms (0.4%)

rewrite193.0ms (2.7%)

simplify353.0ms (4.9%)

eval91.0ms (1.3%)

prune215.0ms (3%)

simplify177.0ms (2.4%)

localize207.0ms (2.8%)

series7.0ms (0.1%)

rewrite122.0ms (1.7%)

simplify122.0ms (1.7%)

eval37.0ms (0.5%)

prune141.0ms (1.9%)

regimes43.0ms (0.6%)

regimes26.0ms (0.4%)

regimes25.0ms (0.4%)

regimes12.0ms (0.2%)

regimes15.0ms (0.2%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes61.0ms (0.8%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch12.0ms (0.2%)

bsearch27.0ms (0.4%)

bsearch66.0ms (0.9%)

bsearch13.0ms (0.2%)

simplify98.0ms (1.3%)

soundness1.3s (17.8%)

preprocess80.0ms (1.1%)

end0.0ms (0%)

Profiling