Metrics for math.cube on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

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

sample1.7s (18.1%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 750.0ms (71.2% of total)

ival-sub: 251.0ms (23.8% of total)

ival-add: 43.0ms (4.1% of total)

const: 7.0ms (0.7% of total)

backward-pass: 2.0ms (0.2% of total)

Bogosity

preprocess127.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1032×	`unsub-neg`
568×	`fma-define`
420×	`sub-neg`
388×	`distribute-lft-out`
372×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	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.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.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.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.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.im (*.f64 x.re 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.im (*.f64 x.re #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.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.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.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.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.im (*.f64 x.re 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.im (*.f64 x.re #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.im (*.f64 x.re #s(literal 3 binary64)))))

Symmetry

(abs x.im)

(negabs x.re)

explain167.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
17	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
14	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
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	21	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	108
↳	`(*.f64 x.re x.re)`	overflow	58
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	107
↳	`(*.f64 x.im x.im)`	overflow	66
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	64
↳	`(*.f64 x.im x.re)`	overflow	30
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	30
↳	`(*.f64 x.re x.im)`	overflow	30
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	17	0
↳	`(*.f64 x.re x.re)`	overflow	58
↳	`(*.f64 x.im x.im)`	overflow	66
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	14	0

Confusion

	Predicted +	Predicted -
+	41	0
-	0	215

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	41	0	0
-	0	0	215

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	215
1	30
2	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

56.0ms

512×

valid

Compiler

Compiled 178 to 46 computations (74.2% saved)

Precisions

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

ival-mult: 21.0ms (72.7% of total)

ival-sub: 5.0ms (17.3% of total)

ival-add: 2.0ms (6.9% of total)

const: 1.0ms (3.5% of total)

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

eval1.0ms (0%)

Compiler: Compiled 75 to 30 computations (60% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.2%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
▶	84.2%	(-.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))
▶	81.9%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶	81.9%	(+.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)

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

729×	`unsub-neg`
651×	`fma-neg`
591×	`fma-define`
538×	`sub-neg`
407×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	649
1	73	617
2	159	617
3	356	614
4	972	614
5	3167	614
6	5990	614
7	7730	614

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

localize228.0ms (2.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal -2 binary64))
✓	accuracy	94.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	89.1%	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	accuracy	88.1%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	94.7%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	94.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.3%	(-.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	99.7%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	89.1%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	88.8%	(+.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	89.1%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	accuracy	88.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Results

191.0ms

256×

valid

Compiler

Compiled 181 to 27 computations (85.1% saved)

Precisions

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

ival-pow: 59.0ms (65.1% of total)

ival-mult: 23.0ms (25.4% of total)

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

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

ival-sub: 2.0ms (2.2% of total)

const: 1.0ms (1.1% of total)

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

series128.0ms (1.3%)

Counts

18 → 348

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

Calls

90 calls:

Time	Variable		Point	Expression
89.0ms	x.re	@	-inf	(* x.re (* x.im x.im))
2.0ms	x.re	@	0	(- (* x.re x.re) (* x.im x.im))
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))

rewrite477.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`log1p-expm1-u`
276×	`associate-r`
220×	`expm1-log1p-u`
216×	`add-cube-cbrt`
215×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	503
1	566	420
2	7105	420

Stop Event

1×	node limit

Counts

18 → 448

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 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(+.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)
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(*.f64 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 (exp.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 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 (exp.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 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 x.im) #s(literal -3 binary64)))
(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))
(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 (exp.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 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 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))
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simplify168.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

127×	`*-commutative`
71×	`+-commutative`
53×	`sub-neg`
39×	`fma-undefine`
34×	`cube-mult`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	857	3407
1	2892	3407

Stop Event

1×

unsound

Counts

796 → 465

Calls

Call 1

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

eval69.0ms (0.7%)

Compiler: Compiled 12244 to 1695 computations (86.2% saved)

prune88.0ms (0.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	593	8	601
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	595	10	605

Accuracy

100.0%

Counts

605 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.2%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
▶	58.7%	(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)))
	84.2%	(-.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))
	86.5%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	48.6%	(-.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))
▶	81.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)))))
✓	81.9%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	51.7%	(.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 279 to 171 computations (38.7% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6592	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)))))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))
✓	cost-diff	12864	(.f64 x.im (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)))
✓	cost-diff	12864	(.f64 x.re (.f64 x.im (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 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	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	cost-diff	128	(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	128	(-.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	(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

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	679
1	90	679
2	226	679

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

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.im) (-.f64 x.re x.im))) (/.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.im) (-.f64 x.re x.im)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re 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 #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 (+.f64 x.re x.im) (.f64 (+.f64 x.re #s(literal -27 binary64)) x.re)) (.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 (+.f64 x.re x.im) (.f64 (+.f64 x.re #s(literal -27 binary64)) x.re))
(*.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 x.im (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #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)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(.f64 x.re (.f64 x.im (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(.f64 x.im (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)))
(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
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)

localize137.0ms (1.4%)

Localize:

Found 17 expressions of interest:

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

Results

81.0ms

256×

invalid

Compiler

Compiled 197 to 31 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 20.0ms (43.5% of total)

ival-pow: 12.0ms (26.1% of total)

ival-add: 5.0ms (10.9% of total)

ival-fma: 3.0ms (6.5% of total)

ival-sub: 3.0ms (6.5% of total)

ival-cbrt: 2.0ms (4.3% of total)

ival-div: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

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

series173.0ms (1.8%)

Counts

15 → 228

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

Calls

72 calls:

Time	Variable		Point	Expression
132.0ms	x.re	@	0	(* x.re (* x.im (pow (cbrt (* x.im -3)) 3)))
3.0ms	x.im	@	-inf	(* x.re (* x.im (pow (cbrt (* x.im -3)) 3)))
2.0ms	x.re	@	inf	(+ x.re -27)
2.0ms	x.im	@	-inf	(+ (pow x.re 3) (* x.re (* x.im (pow (cbrt (* x.im -3)) 3))))
2.0ms	x.im	@	0	(* x.re (* x.im (pow (cbrt (* x.im -3)) 3)))

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

234×	`associate-r`
224×	`log1p-expm1-u`
224×	`expm1-log1p-u`
218×	`add-cube-cbrt`
214×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	392
1	572	392

Stop Event

1×	node limit

Counts

15 → 434

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

simplify175.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

930×	`fma-define`
471×	`distribute-lft-in`
443×	`distribute-rgt-in`
357×	`times-frac`
342×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	12303
1	1079	11569
2	2775	10865

Stop Event

1×	node limit

Counts

662 → 360

Calls

Call 1

Inputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 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)
(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))))))
(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 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.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))))
(+.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))))
(+.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))))
(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 x.im #s(literal 27 binary64)))))
(.f64 x.re (+.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))
(.f64 x.re (+.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x.im #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -27 binary64) (/.f64 x.im x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -27 binary64) (/.f64 x.im x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))
(*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))
(+.f64 (.f64 x.im (-.f64 x.re #s(literal 27 binary64))) (.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (.f64 x.im (-.f64 x.re #s(literal 27 binary64))) (.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (.f64 x.im (-.f64 x.re #s(literal 27 binary64))) (.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(*.f64 x.im (-.f64 x.re #s(literal 27 binary64)))
(.f64 x.im (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)) #s(literal 27 binary64)))
(.f64 x.im (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)) #s(literal 27 binary64)))
(.f64 x.im (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)) #s(literal 27 binary64)))
(*.f64 x.im (-.f64 x.re #s(literal 27 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x.re #s(literal 27 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x.re #s(literal 27 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x.re #s(literal 27 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(*.f64 #s(literal -27 binary64) x.im)
(+.f64 (.f64 #s(literal -27 binary64) x.im) (.f64 x.re (-.f64 x.im #s(literal 27 binary64))))
(+.f64 (.f64 #s(literal -27 binary64) x.im) (.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64))))
(+.f64 (.f64 #s(literal -27 binary64) x.im) (.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64))))
(pow.f64 x.re #s(literal 2 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(pow.f64 x.re #s(literal 2 binary64))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x.im #s(literal 27 binary64))) (.f64 #s(literal 27 binary64) (/.f64 x.im x.re))) x.re))))
(.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x.im #s(literal 27 binary64))) (.f64 #s(literal 27 binary64) (/.f64 x.im x.re))) x.re))))
x.re
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
x.im
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
x.im
x.re
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
#s(literal -27 binary64)
(-.f64 x.re #s(literal 27 binary64))
(-.f64 x.re #s(literal 27 binary64))
(-.f64 x.re #s(literal 27 binary64))
x.re
(.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
x.re
(.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))))
(.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))))
(.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))))
(.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 (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #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 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 (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #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 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 (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #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 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 (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #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 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 (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #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 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 (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #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 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 (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 3 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)))))
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(+.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 x.re (-.f64 #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 x.re (-.f64 #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 (+.f64 x.re #s(literal -19683 binary64)) x.re) (+.f64 x.re (-.f64 #s(literal 729 binary64) (.f64 x.re #s(literal -27 binary64)))))
(/.f64 (.f64 (+.f64 x.re #s(literal -19683 binary64)) x.re) (.f64 (+.f64 x.re (-.f64 #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))
(/.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))))
(pow.f64 (+.f64 x.re (*.f64 x.re #s(literal -27 binary64))) #s(literal -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))
(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 (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 x.re (-.f64 #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 x.re (-.f64 #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 x.re (-.f64 #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 x.re (-.f64 #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 x.re (-.f64 #s(literal 729 binary64) (.f64 x.re #s(literal -27 binary64)))) (+.f64 x.re (-.f64 #s(literal 729 binary64) (.f64 x.re #s(literal -27 binary64))))))
(/.f64 (sqrt.f64 (+.f64 x.re #s(literal -19683 binary64))) (sqrt.f64 (+.f64 x.re (-.f64 #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 x.re (-.f64 #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 x.re (-.f64 #s(literal 729 binary64) (*.f64 x.re #s(literal -27 binary64))))))
(/.f64 (neg.f64 (+.f64 x.re #s(literal -19683 binary64))) (neg.f64 (+.f64 x.re (-.f64 #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 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 -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 x.re (-.f64 #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))
(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 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re 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))
(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 1/6 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 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 1/6 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 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 #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))
(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 1/6 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 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) #s(literal -3 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re 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))
(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 1/6 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 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))))
(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)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
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(*.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 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 (+.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 -19683 binary64)) (+.f64 #s(literal 729 binary64) (+.f64 x.re (.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 (+.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 -729 binary64)) (/.f64 (+.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))
(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))))
(+.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))))
(+.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)
(*.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) #s(literal -3 binary64) x.re))
(+.f64 (.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re #s(literal 5 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 (neg.f64 x.re) #s(literal 2 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)
(+.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(*.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))
(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 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) (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 1/6 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 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 1/6 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 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)
#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))
(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 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) (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 1/6 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 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) #s(literal -3 binary64) x.re))
(+.f64 (.f64 x.re #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re #s(literal 5 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 (neg.f64 x.re) #s(literal 2 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)
(+.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(*.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))
(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 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) (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 1/6 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 2/3 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)

eval73.0ms (0.8%)

Compiler: Compiled 10600 to 1921 computations (81.9% saved)

prune110.0ms (1.2%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	589	18	607
Fresh	2	1	3
Picked	1	4	5
Done	0	2	2
Total	592	25	617

Accuracy

100.0%

Counts

617 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.2%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	58.7%	(pow.f64 x.re #s(literal 3 binary64))
	2.6%	(/.f64 #s(literal -3 binary64) x.re)
	21.0%	(-.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))
▶	84.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	48.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/6 binary64))
✓	48.6%	(-.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))
	47.8%	(-.f64 (.f64 (.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	33.2%	(-.f64 (.f64 (.f64 x.im x.re) #s(literal -27 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	33.2%	(-.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))
	22.5%	(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	16.3%	(-.f64 x.re x.re)
	4.4%	(-.f64 x.re #s(literal 1 binary64))
▶	2.8%	(-.f64 #s(literal -3 binary64) x.re)
	21.1%	(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	81.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)))))
✓	81.9%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶	5.1%	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
	51.7%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
	51.7%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
	33.3%	(*.f64 x.re x.re)
	3.1%	(*.f64 x.re #s(literal -1/3 binary64))
	3.1%	(*.f64 x.re #s(literal -3 binary64))
▶	2.6%	#s(literal 1 binary64)

Compiler

Compiled 485 to 314 computations (35.3% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x.im #s(literal -27 binary64))
✓	cost-diff	0	(.f64 (.f64 x.im #s(literal -27 binary64)) x.re)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	-6272	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
✓	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(*.f64 (neg.f64 x.re) x.re)
✓	cost-diff	0	(-.f64 #s(literal -3 binary64) x.re)
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Rules

714×	`fma-define`
705×	`fma-neg`
552×	`sub-neg`
462×	`cancel-sign-sub-inv`
324×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	479
1	80	454
2	191	440
3	491	412
4	1152	408
5	3536	408
6	6458	408

Stop Event

1×	node limit

Calls

Call 1

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

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

localize154.0ms (1.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.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))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.7%	(.f64 (.f64 x.im #s(literal -27 binary64)) x.re)
✓	accuracy	100.0%	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
✓	accuracy	100.0%	(*.f64 (neg.f64 x.re) x.re)
✓	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	100.0%	(-.f64 #s(literal -3 binary64) x.re)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	accuracy	94.7%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	94.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.3%	(-.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))

Results

60.0ms

256×

valid

Compiler

Compiled 128 to 25 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 22.0ms (67.6% of total)

ival-sub: 6.0ms (18.4% of total)

ival-add: 2.0ms (6.1% of total)

const: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

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

series16.0ms (0.2%)

Counts

9 → 156

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)>
#<alt (-.f64 #s(literal -3 binary64) x.re)>
#<alt (*.f64 (neg.f64 x.re) x.re)>
#<alt (neg.f64 x.re)>
#<alt (+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))>
#<alt (.f64 (.f64 x.im #s(literal -27 binary64)) x.re)>
#<alt (*.f64 x.im #s(literal -27 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))>
#<alt (-.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))>

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	-inf	(- (* (* x.im -27) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.0ms	x.im	@	-inf	(* x.im -27)
0.0ms	x.im	@	-inf	(* (* x.im -27) x.re)
0.0ms	x.im	@	0	(* (* x.im -27) x.re)
0.0ms	x.im	@	inf	(* x.im -27)

rewrite165.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

366×	`log1p-expm1-u`
233×	`associate-r`
230×	`expm1-log1p-u`
223×	`add-exp-log`
221×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	236
1	520	126
2	7988	126

Stop Event

1×	node limit

Counts

9 → 230

Calls

Call 1

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

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

simplify279.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-neg`
543×	`cancel-sign-sub-inv`
460×	`distribute-lft-neg-in`
441×	`distribute-rgt-neg-in`
235×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	514	8813
1	1104	8393
2	3981	8365

Stop Event

1×	node limit

Counts

386 → 306

Calls

Call 1

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

eval67.0ms (0.7%)

Compiler: Compiled 7998 to 1495 computations (81.3% saved)

prune81.0ms (0.9%)

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	500	10	510
Fresh	4	10	14
Picked	2	3	5
Done	1	5	6
Total	507	28	535

Accuracy

100.0%

Counts

535 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.2%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	58.7%	(pow.f64 x.re #s(literal 3 binary64))
	2.6%	(/.f64 #s(literal -3 binary64) x.re)
	21.0%	(-.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))
✓	84.2%	(-.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))
▶	71.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
	48.6%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	47.8%	(-.f64 (.f64 (.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	33.2%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	16.3%	(-.f64 x.re x.re)
	4.4%	(-.f64 x.re #s(literal 1 binary64))
▶	21.1%	(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	81.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)))))
✓	81.9%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	19.6%	(+.f64 (.f64 x.re (.f64 x.im #s(literal -27 binary64))) #s(literal 0 binary64))
✓	5.1%	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
	51.7%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	51.7%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
▶	33.3%	(*.f64 x.re x.re)
	3.1%	(*.f64 x.re #s(literal -1/3 binary64))
	3.1%	(*.f64 x.re #s(literal -3 binary64))
▶	19.6%	(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
	33.2%	(.f64 x.im (+.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
	33.2%	(.f64 x.im (.f64 x.re (+.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64))))
	3.1%	(neg.f64 x.re)
✓	2.6%	#s(literal 1 binary64)
▶	2.8%	#s(literal -3 binary64)

Compiler

Compiled 492 to 336 computations (31.7% saved)

simplify181.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

932×	`fma-define`
772×	`fma-neg`
543×	`unsub-neg`
444×	`sub-neg`
366×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	353
1	53	329
2	112	325
3	305	319
4	704	319
5	1608	319
6	3187	319
7	5863	319
8	6797	319
9	7319	319
10	7592	319
11	7750	319
12	7770	319

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #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
#s(literal 0 binary64)
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
x.im
(-.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(*.f64 x.re #s(literal -27 binary64))
x.re
#s(literal -27 binary64)
#s(literal 0 binary64)
(-.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)

Outputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im x.im)))
(.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 (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))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
#s(literal 0 binary64)
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 #s(literal -27 binary64) x.im))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
x.im
(-.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(*.f64 x.re #s(literal -27 binary64))
(*.f64 x.re #s(literal -27 binary64))
x.re
#s(literal -27 binary64)
#s(literal 0 binary64)
(-.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 x.im #s(literal -2 binary64))) #s(literal -26 binary64))
(fma.f64 x.re (.f64 x.im (.f64 x.im #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 x.im (.f64 x.re (*.f64 #s(literal 2 binary64) x.im)))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(.f64 x.re (.f64 #s(literal 2 binary64) x.im))
(.f64 x.re (.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize69.0ms (0.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.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 (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 x.re #s(literal -27 binary64))
✓	accuracy	99.7%	(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	94.7%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	94.2%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Results

47.0ms

256×

valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 15.0ms (63.7% of total)

ival-sub: 7.0ms (29.7% of total)

ival-add: 1.0ms (4.2% of total)

const: 1.0ms (4.2% of total)

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

series6.0ms (0.1%)

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))>
#<alt (.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))>
#<alt (-.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))>
#<alt (*.f64 x.re #s(literal -27 binary64))>
#<alt (*.f64 x.im x.re)>

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

Calls

24 calls:

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

rewrite132.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`log1p-expm1-u`
805×	`prod-diff`
663×	`expm1-log1p-u`
104×	`add-cube-cbrt`
103×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	86
1	275	86
2	3445	86

Stop Event

1×	node limit

Counts

5 → 174

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 0 binary64))
(+.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.re (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) x.re))
(+.f64 #s(literal 0 binary64) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.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))
(.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 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re))
(.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 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 2 binary64)))
(.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 (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 #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 (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)) (/.f64 #s(literal 1 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 2 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re))
(.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 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(.f64 (.f64 x.re (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (.f64 x.re (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(.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.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.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 (.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.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (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 #s(literal 1 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.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 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 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.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))) (neg.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 (neg.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))) (neg.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 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (pow.f64 x.im #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)) x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re)
(/.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)) #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 (/.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 (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 (/.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)) (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))))))
(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))
(sqrt.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.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)))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re #s(literal 0 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)))) #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))))) #s(literal 0 binary64))
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(+.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)) (*.f64 x.im #s(literal 0 binary64)))
(+.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)) (*.f64 #s(literal 0 binary64) x.im))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)))) #s(literal 1 binary64))
(/.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(/.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))) (*.f64 x.re #s(literal -27 binary64)))
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(/.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) x.im) (*.f64 x.re #s(literal -27 binary64)))
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(cbrt.f64 (pow.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))))
(cbrt.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im))))
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(*.f64 x.re #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) x.re)
(.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 1 binary64))
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(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (sqrt.f64 (.f64 x.re #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))))
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(log.f64 (pow.f64 (exp.f64 #s(literal -27 binary64)) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re #s(literal -27 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 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 1 binary64)))
(fma.f64 x.re #s(literal -27 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -27 binary64) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x.re #s(literal -27 binary64))) (sqrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x.re #s(literal -27 binary64)))
(+.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(-.f64 (.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))))
(-.f64 (.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) (.f64 x.re #s(literal -27 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re #s(literal -27 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re #s(literal -27 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))))
(/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (.f64 x.re #s(literal -27 binary64)))
(/.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(/.f64 (neg.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))) (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))) (neg.f64 (.f64 x.re #s(literal -27 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) x.re) #s(literal -27 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) #s(literal -27 binary64)) x.re)
(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) #s(literal 1 binary64)) (.f64 x.re #s(literal -27 binary64)))
(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (pow.f64 (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))))
(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (sqrt.f64 (.f64 x.re #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))))
(pow.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -27 binary64)) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re #s(literal -27 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 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 1 binary64)))
(fma.f64 x.re #s(literal -27 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -27 binary64) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x.re #s(literal -27 binary64))) (sqrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re x.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re x.im)))
(exp.f64 (log.f64 (*.f64 x.re x.im)))
(exp.f64 (.f64 (log.f64 (.f64 x.re x.im)) #s(literal 1 binary64)))

simplify159.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

735×	`fma-define`
533×	`distribute-lft-in`
510×	`distribute-rgt-in`
309×	`distribute-lft-neg-in`
284×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	5351
1	695	5311
2	2597	5299

Stop Event

1×	node limit

Counts

246 → 179

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.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))))
(.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))))
(.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))))
(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 (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 (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 #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 #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))))
(pow.f64 x.re #s(literal 3 binary64))
(+.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)))
(+.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)))
(+.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)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 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 -1 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 -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 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 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 -1 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 -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(*.f64 #s(literal -27 binary64) x.re)
(+.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 0 binary64))
(+.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.re (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) x.re))
(+.f64 #s(literal 0 binary64) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.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))
(.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 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re))
(.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 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 2 binary64)))
(.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 (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 #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 (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)) (/.f64 #s(literal 1 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 2 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re))
(.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 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(.f64 (.f64 x.re (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (.f64 x.re (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(.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.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.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 (.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.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (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 #s(literal 1 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.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 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 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.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))) (neg.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 (neg.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))) (neg.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 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (pow.f64 x.im #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)) x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re)
(/.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)) #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 (/.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 (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 (/.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)) (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))))))
(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))
(sqrt.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.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)))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re #s(literal 0 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)))) #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))))) #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))))) #s(literal 0 binary64))
(+.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)) (*.f64 x.im #s(literal 0 binary64)))
(+.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)) (*.f64 #s(literal 0 binary64) x.im))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)))) #s(literal 1 binary64))
(/.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(/.f64 (.f64 x.im (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))) (*.f64 x.re #s(literal -27 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) x.im) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) x.im) (*.f64 x.re #s(literal -27 binary64)))
(pow.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -27 binary64)) x.re) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)))))
(cbrt.f64 (pow.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))))
(cbrt.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im))))
(log1p.f64 (expm1.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im))))
(exp.f64 (log.f64 (.f64 x.re (.f64 #s(literal -27 binary64) x.im))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (*.f64 #s(literal -27 binary64) x.im))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x.re #s(literal -27 binary64)))
(+.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(*.f64 x.re #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) x.re)
(.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x.re #s(literal -27 binary64)))
(.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) #s(literal -27 binary64)))
(.f64 (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) (pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))))
(.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x.re #s(literal -27 binary64))))
(.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))))
(.f64 (sqrt.f64 (.f64 x.re #s(literal -27 binary64))) (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))))
(.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) #s(literal -27 binary64)))
(.f64 (.f64 #s(literal -27 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(.f64 (.f64 #s(literal -27 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))) (.f64 x.re #s(literal -27 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re #s(literal -27 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))))
(/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (.f64 x.re #s(literal -27 binary64)))
(/.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(/.f64 (neg.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))) (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))) (neg.f64 (.f64 x.re #s(literal -27 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) x.re) #s(literal -27 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) #s(literal -27 binary64)) x.re)
(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) #s(literal 1 binary64)) (.f64 x.re #s(literal -27 binary64)))
(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (pow.f64 (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))))
(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (sqrt.f64 (.f64 x.re #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))))
(pow.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -27 binary64)) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re #s(literal -27 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 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 1 binary64)))
(fma.f64 x.re #s(literal -27 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -27 binary64) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x.re #s(literal -27 binary64))) (sqrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x.re #s(literal -27 binary64)))
(+.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(-.f64 (.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))))
(-.f64 (.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) (.f64 x.re #s(literal -27 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re #s(literal -27 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x.re #s(literal -27 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))))
(/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (.f64 x.re #s(literal -27 binary64)))
(/.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(/.f64 (neg.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))) (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64))) (neg.f64 (.f64 x.re #s(literal -27 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) x.re) #s(literal -27 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) #s(literal -27 binary64)) x.re)
(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) #s(literal 1 binary64)) (.f64 x.re #s(literal -27 binary64)))
(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (pow.f64 (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))))
(/.f64 (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)) (sqrt.f64 (.f64 x.re #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))))
(pow.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -27 binary64)) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re #s(literal -27 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 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 1 binary64)))
(fma.f64 x.re #s(literal -27 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -27 binary64) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (.f64 x.re #s(literal -27 binary64))) (sqrt.f64 (.f64 x.re #s(literal -27 binary64))) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re x.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re x.im)))
(exp.f64 (log.f64 (*.f64 x.re x.im)))
(exp.f64 (.f64 (log.f64 (.f64 x.re x.im)) #s(literal 1 binary64)))

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

eval44.0ms (0.5%)

Compiler: Compiled 5659 to 1244 computations (78% saved)

prune71.0ms (0.7%)

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	409	6	415
Fresh	2	13	15
Picked	3	2	5
Done	1	7	8
Total	415	28	443

Accuracy

100.0%

Counts

443 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.2%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	58.7%	(pow.f64 x.re #s(literal 3 binary64))
	2.6%	(/.f64 #s(literal -3 binary64) x.re)
	21.0%	(-.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))
✓	84.2%	(-.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))
	45.1%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) #s(literal 0 binary64))
	47.8%	(-.f64 (.f64 (.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	33.2%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	16.3%	(-.f64 x.re x.re)
	4.4%	(-.f64 x.re #s(literal 1 binary64))
	21.1%	(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	81.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)))))
✓	81.9%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	51.7%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	79.0%	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
	51.7%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
	19.6%	(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
✓	33.3%	(*.f64 x.re x.re)
	3.1%	(*.f64 x.re #s(literal -1/3 binary64))
	3.1%	(*.f64 x.re #s(literal -3 binary64))
	33.2%	(.f64 x.im (+.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
	33.2%	(.f64 x.im (.f64 x.re (+.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64))))
	19.6%	(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
	19.6%	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
	3.1%	(neg.f64 x.re)
✓	2.6%	#s(literal 1 binary64)
✓	2.8%	#s(literal -3 binary64)

Compiler

Compiled 719 to 304 computations (57.7% saved)

regimes42.0ms (0.4%)

Counts

46 → 2

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 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 -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x.re (.f64 x.im #s(literal -27 binary64))) #s(literal 0 binary64))
(.f64 x.im (.f64 x.re (+.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64))))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 x.im (+.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/6 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 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) 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 x.im x.re) #s(literal -27 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 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.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) 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))
(-.f64 (.f64 (.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) (+.f64 x.re #s(literal -27 binary64))) 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 (.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.re (.f64 (*.f64 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)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 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 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))

Calls

3 calls:

15.0ms	x.im
13.0ms	x.re
11.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.9%	2	`x.re`
94.3%	2	`x.im`
97.5%	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)

regimes28.0ms (0.3%)

Counts

44 → 2

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 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 -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x.re (.f64 x.im #s(literal -27 binary64))) #s(literal 0 binary64))
(.f64 x.im (.f64 x.re (+.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64))))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 x.im (+.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/6 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 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) 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 x.im x.re) #s(literal -27 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 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.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) 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))
(-.f64 (.f64 (.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) (+.f64 x.re #s(literal -27 binary64))) 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 (.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.re (.f64 (*.f64 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 x.im) (.f64 (-.f64 x.re x.im) x.re))

Calls

2 calls:

14.0ms	x.re
11.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
94.7%	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))`
94.8%	2	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes37.0ms (0.4%)

Counts

41 → 2

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 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 -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x.re (.f64 x.im #s(literal -27 binary64))) #s(literal 0 binary64))
(.f64 x.im (.f64 x.re (+.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64))))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 x.im (+.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/6 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 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) 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 x.im x.re) #s(literal -27 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 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.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) 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))
(-.f64 (.f64 (.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im))) (+.f64 x.re #s(literal -27 binary64))) 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 (.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)))

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

Calls

2 calls:

23.0ms	(-.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))
11.0ms	x.re

Results

Accuracy	Segments	Branch
94.7%	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))`
94.7%	2	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes21.0ms (0.2%)

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 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 -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x.re (.f64 x.im #s(literal -27 binary64))) #s(literal 0 binary64))
(.f64 x.im (.f64 x.re (+.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64))))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(.f64 x.im (+.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -2 binary64) (.f64 x.im x.re))))
(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/6 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 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) 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 x.im x.re) #s(literal -27 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 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.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))

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

Calls

2 calls:

9.0ms	x.re
9.0ms	x.im

Results

Accuracy	Segments	Branch
79.0%	1	`x.im`
79.0%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 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 -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x.re (.f64 x.im #s(literal -27 binary64))) #s(literal 0 binary64))
(.f64 x.im (.f64 x.re (+.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64))))

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

Calls

2 calls:

6.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
51.1%	2	`x.re`
46.5%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 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 -27 binary64) (.f64 x.im x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 x.im (-.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 x.re (.f64 x.im #s(literal -27 binary64))) #s(literal 0 binary64))

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

Calls

2 calls:

5.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
37.1%	2	`x.im`
39.9%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 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 -27 binary64) (.f64 x.im x.re))

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

Calls

1 calls:

6.0ms

x.re

Results

Accuracy	Segments	Branch
39.9%	3	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 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)

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

Calls

2 calls:

4.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
33.3%	1	`x.im`
37.0%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal -3 binary64)
#s(literal 1 binary64)
(neg.f64 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

1 calls:

3.0ms

x.re

Results

Accuracy	Segments	Branch
33.3%	1	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
3.1%	1	`x.im`
3.1%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(neg.f64 x.re)

Calls

2 calls:

3.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
3.1%	1	`x.im`
3.1%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.9b remaining (-1.4%)

Threshold costs -0.9b (-1.4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal -3 binary64)

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.8264240077144178e+99	5.314910596982287e+99

Results

1.0ms

16×

valid

Compiler

Compiled 51 to 31 computations (39.2% saved)

Precisions

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

ival-mult: 1.0ms (106.6% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.8264240077144178e+99	5.314910596982287e+99

Results

1.0ms

16×

valid

Compiler

Compiled 52 to 32 computations (38.5% saved)

Precisions

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

ival-mult: 1.0ms (116.8% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	2.474188912582525e+98	1.8264240077144178e+99

Results

1.0ms

16×

valid

Compiler

Compiled 58 to 34 computations (41.4% saved)

Precisions

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

ival-mult: 1.0ms (117.7% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.467474231584428e+153	1.3764630887839874e+156

Results

9.0ms

112×

valid

Compiler

Compiled 152 to 106 computations (30.3% saved)

Precisions

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

ival-mult: 4.0ms (65.2% of total)

ival-sub: 1.0ms (16.3% of total)

ival-add: 1.0ms (16.3% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.467474231584428e+153	1.3764630887839874e+156
16.0ms	1.3566736445244672e-108	2.6700171278448574e-104

Results

20.0ms

240×

valid

Compiler

Compiled 236 to 165 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (74.8% of total)

ival-sub: 2.0ms (15% of total)

ival-add: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.467474231584428e+153	1.3764630887839874e+156
16.0ms	1.3566736445244672e-108	2.6700171278448574e-104

Results

21.0ms

240×

valid

Compiler

Compiled 236 to 165 computations (30.1% saved)

Precisions

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

ival-mult: 10.0ms (69.1% of total)

ival-sub: 3.0ms (20.7% of total)

ival-add: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.546795479642967e-65	9.479212235805874e-65

Results

5.0ms

64×

valid

Compiler

Compiled 74 to 47 computations (36.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (83.1% of total)

ival-sub: 1.0ms (27.7% of total)

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

const: 0.0ms (0% of total)

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative`
14×	`+-commutative`
11×	`sub-neg`
7×	`distribute-lft-neg-in`
7×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	618
1	106	618
2	131	618
3	148	618
4	156	618
5	158	618

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 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 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))
(if (<=.f64 x.re #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 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 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(if (<=.f64 x.re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 x.im (.f64 x.re (+.f64 (.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64)))) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 3711984199749931/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (-.f64 x.re x.re) (if (<=.f64 x.re #s(literal 10499999999999999718094661413780068350042817471749844014203039470325746486893213012200170839883152606401165003567092279881313941182142490834109641139421184 binary64)) (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 8392312103782453/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (-.f64 x.re x.re) (if (<=.f64 x.re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 281606361025153/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -1/3 binary64))
(neg.f64 x.re)
#s(literal -3 binary64)

Outputs
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 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 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re)))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 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 x.re x.im) (*.f64 x.re (-.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 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 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
(if (<=.f64 x.re #s(literal 399999999999999999076148098057483202786450191969615355682227455864390346192518705911647729914740736 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 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im))))
(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
(.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 x.im (.f64 x.re (+.f64 (.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64)))) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 3711984199749931/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336 binary64)) (-.f64 x.re x.re) (if (<=.f64 x.re #s(literal 10499999999999999718094661413780068350042817471749844014203039470325746486893213012200170839883152606401165003567092279881313941182142490834109641139421184 binary64)) (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 8392312103782453/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (-.f64 x.re x.re) (if (<=.f64 x.re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 8392312103782453/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (-.f64 x.re x.re) (if (<=.f64 x.re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (.f64 (.f64 x.re x.im) #s(literal -27 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 281606361025153/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -1/3 binary64))
(neg.f64 x.re)
#s(literal -3 binary64)

soundness3.5s (37%)

Rules

1060×	`log1p-expm1-u`
1032×	`unsub-neg`
930×	`fma-define`
805×	`prod-diff`
735×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	857	3407
1	2892	3407
0	514	8813
1	1104	8393
2	3981	8365
0	34	392
1	572	392
0	18	86
1	275	86
2	3445	86
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301
0	32	503
1	566	420
2	7105	420
0	29	236
1	520	126
2	7988	126
0	370	12303
1	1079	11569
2	2775	10865
0	319	5351
1	695	5311
2	2597	5299

Stop Event

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

Compiler

Compiled 1163 to 369 computations (68.3% saved)

preprocess187.0ms (2%)

Remove: (abs x.im)
Compiler: Compiled 852 to 432 computations (49.3% saved)

analyze0.0ms (0%)

sample1.7s (18.1%)

preprocess127.0ms (1.3%)

explain167.0ms (1.7%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify99.0ms (1%)

localize228.0ms (2.4%)

series128.0ms (1.3%)

rewrite477.0ms (5%)

simplify168.0ms (1.8%)

eval69.0ms (0.7%)

prune88.0ms (0.9%)

simplify14.0ms (0.1%)

localize137.0ms (1.4%)

series173.0ms (1.8%)

rewrite67.0ms (0.7%)

simplify175.0ms (1.8%)

eval73.0ms (0.8%)

prune110.0ms (1.2%)

simplify78.0ms (0.8%)

localize154.0ms (1.6%)

series16.0ms (0.2%)

rewrite165.0ms (1.7%)

simplify279.0ms (2.9%)

eval67.0ms (0.7%)

prune81.0ms (0.9%)

simplify181.0ms (1.9%)

localize69.0ms (0.7%)

series6.0ms (0.1%)

rewrite132.0ms (1.4%)

simplify159.0ms (1.7%)

eval44.0ms (0.5%)

prune71.0ms (0.7%)

regimes42.0ms (0.4%)

regimes28.0ms (0.3%)

regimes37.0ms (0.4%)

regimes21.0ms (0.2%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch14.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch39.0ms (0.4%)

bsearch8.0ms (0.1%)

simplify14.0ms (0.1%)

soundness3.5s (37%)

preprocess187.0ms (2%)

end0.0ms (0%)

Profiling