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)

sample1.1s (11.3%)

Results

887.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 664.0ms

ival-mult: 523.0ms (78.8% of total)

ival-sub: 90.0ms (13.6% of total)

ival-add: 43.0ms (6.5% of total)

const: 7.0ms (1.1% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess132.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1017×	`unsub-neg`
562×	`fma-define`
420×	`sub-neg`
412×	`distribute-lft-out`
373×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x.im)

(negabs x.re)

explain173.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
30	-	-	`(-.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))`
21	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
13	-	-	`(.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	30	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	121
↳	`(*.f64 x.re x.re)`	overflow	74
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	111
↳	`(*.f64 x.im x.im)`	overflow	58
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	68
↳	`(*.f64 x.im x.re)`	overflow	40
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	40
↳	`(*.f64 x.re x.im)`	overflow	40
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	21	0
↳	`(*.f64 x.re x.re)`	overflow	74
↳	`(*.f64 x.im x.im)`	overflow	58
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	53	0
-	0	203

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	53	0	0
-	0	0	203

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	203
1	42
2	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

65.0ms

512×

valid

Compiler

Compiled 178 to 46 computations (74.2% saved)

Precisions

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

ival-mult: 24.0ms (72.7% of total)

ival-sub: 5.0ms (15.1% of total)

ival-add: 3.0ms (9.1% of total)

const: 1.0ms (3% of total)

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.5%	(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))))
▶	79.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	76.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶	76.4%	(+.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)

simplify103.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

localize202.0ms (2.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
✓	accuracy	99.8%	(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))
✓	accuracy	92.7%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	85.6%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	95.1%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	92.7%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	90.6%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	87.9%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	83.6%	(+.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	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	87.9%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	accuracy	83.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Results

166.0ms

256×

valid

Compiler

Compiled 182 to 27 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 111.0ms (88.7% of total)

ival-add: 5.0ms (4% of total)

ival-pow: 5.0ms (4% of total)

ival-sub: 3.0ms (2.4% of total)

const: 1.0ms (0.8% of total)

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

series34.0ms (0.3%)

Counts

18 → 360

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	x.im	@	-inf	(+ (* x.re x.im) (* x.im x.re))
1.0ms	x.re	@	0	(* x.re x.re)
1.0ms	x.re	@	0	(* x.re (* x.im (* x.im -3)))
1.0ms	x.im	@	inf	(* x.im (* x.im -3))
1.0ms	x.re	@	-inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite439.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

18 → 449

Calls

Call 1

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

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

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	3576
1	2881	3576

Stop Event

1×

unsound

Counts

809 → 469

Calls

Call 1

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

eval185.0ms (1.9%)

Compiler: Compiled 12294 to 1700 computations (86.2% saved)

prune165.0ms (1.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	595	9	604
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	596	12	608

Accuracy

100.0%

Counts

608 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.2%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	79.2%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (pow.f64 (cbrt.f64 (.f64 x.re (*.f64 x.im #s(literal -2 binary64)))) #s(literal 3 binary64))))
✓	79.5%	(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))))
▶	59.9%	(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)))
	79.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	83.4%	(-.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))
▶	46.3%	(-.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))
▶	81.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	76.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	76.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	76.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))

Compiler

Compiled 330 to 208 computations (37% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

15×	`*-commutative`
12×	`fma-define`
12×	`distribute-lft-in`
10×	`distribute-rgt-in`
9×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	681
1	87	681
2	217	681

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

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

localize120.0ms (1.2%)

Localize:

Found 17 expressions of interest:

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

82.0ms

256×

invalid

Compiler

Compiled 186 to 33 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 22.0ms (49.6% of total)

ival-pow: 8.0ms (18% of total)

ival-add: 6.0ms (13.5% of total)

ival-sub: 3.0ms (6.8% of total)

ival-sqrt: 3.0ms (6.8% of total)

ival-div: 1.0ms (2.3% of total)

const: 1.0ms (2.3% of total)

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

series27.0ms (0.3%)

Counts

15 → 224

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

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

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (/ (* x.im 0) 0))
3.0ms	x.re	@	-inf	(+ (pow x.re 3) (* (pow (* x.im (sqrt x.re)) 2) -3))
1.0ms	x.re	@	-inf	(* (pow (* x.im (sqrt x.re)) 2) -3)
1.0ms	x.im	@	inf	(* (* (+ x.im x.re) (+ x.re -27)) x.re)
1.0ms	x.im	@	-inf	(* (* (+ x.im x.re) (+ x.re -27)) x.re)

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

240×	`log1p-expm1-u`
240×	`expm1-log1p-u`
233×	`associate-r`
232×	`add-cube-cbrt`
231×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	521
1	569	521

Stop Event

1×	node limit

Counts

15 → 561

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

Outputs
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 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 -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 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 -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 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 -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
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(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 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 -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 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 -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))

simplify1.5s (15.8%)

Algorithm

1×	egg-herbie

Rules

716×	`fmm-def`
538×	`fma-define`
471×	`distribute-lft-neg-in`
389×	`distribute-rgt-neg-in`
374×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	11951
1	591	11060
2	1705	10544
3	5277	10240

Stop Event

1×	node limit

Counts

785 → 191

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)))
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(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 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 -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))

Outputs
(.f64 #s(literal -3 binary64) (.f64 (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)))
(.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)))
(.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)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 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 -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 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 -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.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)))
(.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 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)))
(.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 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)))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (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 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 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)))
(.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.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)))
(.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.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)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 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)))
(.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.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)))
(.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.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)))
(*.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))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.re)))
(.f64 x.re (.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.im x.re)))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (.f64 x.re (+.f64 x.im x.re)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.re)))
(.f64 x.re (.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.im x.re)))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (.f64 x.re (+.f64 x.im x.re)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.re)))
(.f64 x.re (.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.im x.re)))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (.f64 x.re (+.f64 x.im x.re)))
(.f64 x.im (.f64 x.re (-.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)))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.re)))
(.f64 x.re (.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.im x.re)))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (.f64 x.re (+.f64 x.im x.re)))
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x.re
(log.f64 (+.f64 #s(literal -7625597484987 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 -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(hypot.f64 x.re #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(-.f64 (*.f64 x.re #s(literal -7625597484987 binary64)) x.re)
(*.f64 x.re #s(literal -7625597484988 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re #s(literal 58149737003040059690390169 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(-.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 (.f64 #s(literal 2 binary64) x.re) (.f64 x.re #s(literal 7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484989 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 #s(literal 2 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re (*.f64 x.re #s(literal -7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484988 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 -7625597484987 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))
(-.f64 #s(literal -7625597484987 binary64) (*.f64 x.re #s(literal -7625597484987 binary64)))
(fma.f64 x.re #s(literal 7625597484987 binary64) #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -7625597484987 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re #s(literal 7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -7625597484987 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 -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(hypot.f64 x.re #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(-.f64 (*.f64 x.re #s(literal -7625597484987 binary64)) x.re)
(*.f64 x.re #s(literal -7625597484988 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re #s(literal 58149737003040059690390169 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(-.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 (.f64 #s(literal 2 binary64) x.re) (.f64 x.re #s(literal 7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484989 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 #s(literal 2 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re (*.f64 x.re #s(literal -7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484988 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 -7625597484987 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))
(-.f64 #s(literal -7625597484987 binary64) (*.f64 x.re #s(literal -7625597484987 binary64)))
(fma.f64 x.re #s(literal 7625597484987 binary64) #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -7625597484987 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re #s(literal 7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(sqrt.f64 x.re)
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x.re))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -7625597484987 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 -7625597484987 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 -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(hypot.f64 x.re #s(literal -7625597484987 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 -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(-.f64 (*.f64 x.re #s(literal -7625597484987 binary64)) x.re)
(*.f64 x.re #s(literal -7625597484988 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re #s(literal 58149737003040059690390169 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(-.f64 #s(literal 58149737003040059690390169 binary64) x.re)

eval43.0ms (0.4%)

Compiler: Compiled 6523 to 1166 computations (82.1% saved)

prune106.0ms (1.1%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	404	20	424
Fresh	2	2	4
Picked	2	3	5
Done	1	2	3
Total	409	27	436

Accuracy

100.0%

Counts

436 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.2%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	79.2%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (pow.f64 (cbrt.f64 (.f64 x.re (*.f64 x.im #s(literal -2 binary64)))) #s(literal 3 binary64))))
✓	79.5%	(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))))
✓	59.9%	(pow.f64 x.re #s(literal 3 binary64))
▶	3.0%	(/.f64 x.re #s(literal -7625597484987 binary64))
	2.5%	(/.f64 #s(literal -7625597484987 binary64) x.re)
▶	79.5%	(-.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))
	50.7%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
▶	50.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
	51.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 729 binary64))
	51.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 27 binary64))
	51.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
	28.7%	(-.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))
	12.8%	(-.f64 x.re x.re)
	4.8%	(-.f64 x.re #s(literal 1 binary64))
	3.9%	(-.f64 x.re #s(literal -7625597484987 binary64))
▶	2.7%	(-.f64 #s(literal -7625597484987 binary64) x.re)
✓	81.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	76.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	47.3%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
	6.3%	(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
	47.4%	(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
	36.1%	(*.f64 x.re x.re)
	5.8%	(*.f64 x.re #s(literal 7625597484989 binary64))
	3.0%	(*.f64 x.re #s(literal -1/7625597484987 binary64))
	2.9%	(*.f64 x.re #s(literal -7625597484987 binary64))
▶	2.8%	#s(literal 1 binary64)

Compiler

Compiled 462 to 310 computations (32.9% saved)

simplify97.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
	cost-diff	-6336	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(/.f64 x.re #s(literal -7625597484987 binary64))
✓	cost-diff	0	(-.f64 #s(literal -7625597484987 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

591×	`unsub-neg`
577×	`sub-neg`
507×	`fma-define`
406×	`fmm-def`
388×	`distribute-lft-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	418
1	58	414
2	131	409
3	345	382
4	809	378
5	2669	375
6	5016	375
7	6894	375

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 -7625597484987 binary64) x.re)
#s(literal -7625597484987 binary64)
x.re
(/.f64 x.re #s(literal -7625597484987 binary64))
x.re
#s(literal -7625597484987 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 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 531441 binary64)

Outputs
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.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.im (*.f64 x.re x.im)) #s(literal -3 binary64)))
(fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(.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.im (.f64 x.re 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.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.re x.im)
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -7625597484987 binary64) x.re)
#s(literal -7625597484987 binary64)
x.re
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
x.re
#s(literal -7625597484987 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re #s(literal -531441 binary64))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal -531441 binary64))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)) #s(literal -531441 binary64))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.re (*.f64 x.im x.im) #s(literal 531441 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.im (.f64 x.re 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 531441 binary64)

localize112.0ms (1.2%)

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	95.1%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	92.7%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	100.0%	(/.f64 x.re #s(literal -7625597484987 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal -7625597484987 binary64) x.re)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	accuracy	95.1%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	92.7%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	90.6%	(-.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

89.0ms

256×

valid

Compiler

Compiled 107 to 18 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 57.0ms (88% of total)

ival-sub: 5.0ms (7.7% of total)

ival-div: 2.0ms (3.1% of total)

const: 1.0ms (1.5% of total)

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

series5.0ms (0%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)>
#<alt (-.f64 #s(literal -7625597484987 binary64) x.re)>
#<alt (/.f64 x.re #s(literal -7625597484987 binary64))>
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))>

Outputs
#<alt (.f64 #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 -7625597484987 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 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 7625597484987 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 7625597484987 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 7625597484987 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 7625597484987 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 7625597484987 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 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	-inf	(/ x.re -7625597484987)
0.0ms	x.re	@	inf	(/ x.re -7625597484987)
0.0ms	x.re	@	0	(/ x.re -7625597484987)
0.0ms	x.re	@	-inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (* x.re x.im) 2) x.im))
0.0ms	x.im	@	-inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (* x.re x.im) 2) x.im))

rewrite167.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

999×	`log1p-expm1-u`
999×	`expm1-log1p-u`
368×	`fmm-def`
141×	`associate-r`
140×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	115
1	314	111
2	4515	111

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) x.re) (*.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal 1 binary64)))
(+.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64))
(*.f64 (-.f64 #s(literal -7625597484987 binary64) x.re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -7625597484987 binary64) x.re))
(*.f64 (cbrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)))
(*.f64 (sqrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) (sqrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)))
(.f64 (-.f64 #s(literal -443426488243037769948249630619149892803 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 58149737003040059690390169 binary64) (.f64 x.re (+.f64 x.re #s(literal -7625597484987 binary64))))))
(*.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x.re #s(literal -7625597484987 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 x.re (+.f64 x.re #s(literal -7625597484987 binary64)))) (-.f64 #s(literal -443426488243037769948249630619149892803 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.re #s(literal -7625597484987 binary64)) (-.f64 #s(literal 58149737003040059690390169 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -443426488243037769948249630619149892803 binary64) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 x.re (+.f64 x.re #s(literal -7625597484987 binary64)))))
(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 x.re #s(literal -7625597484987 binary64)))
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(pow.f64 (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (-.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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(fma.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 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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)) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (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))))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))) (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(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))))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))

simplify207.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

602×	`times-frac`
524×	`distribute-lft-in`
508×	`fmm-def`
308×	`distribute-lft-neg-in`
296×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	11916
1	888	9498
2	3032	9134

Stop Event

1×	node limit

Counts

222 → 208

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 -7625597484987 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))
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(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))))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))) (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(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))))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))

Outputs
(.f64 #s(literal 2 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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 (.f64 #s(literal 2 binary64) (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))
#s(literal -7625597484987 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(.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 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 x.re (-.f64 (+.f64 (.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 (pow.f64 x.re #s(literal 2 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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
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(.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (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))))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (.f64 x.re (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)) (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x.re (fma.f64 x.re x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (.f64 x.re (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)) (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x.re (fma.f64 x.re x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)))
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (.f64 x.re (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)) (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x.re (fma.f64 x.re x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (.f64 x.re (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)) (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x.re (fma.f64 x.re x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.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)))) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (.f64 x.re (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)) (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x.re (fma.f64 x.re x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)))
(fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (.f64 x.re (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)) (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x.re (fma.f64 x.re x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (.f64 x.re (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)) (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x.re (fma.f64 x.re x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)))
(fma.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 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 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 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.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) (neg.f64 (-.f64 (.f64 x.im (.f64 x.re (.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 x.im #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal 2 binary64))))))))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (.f64 x.re (.f64 #s(literal 2 binary64) x.im)) (.f64 x.im (.f64 x.re (*.f64 #s(literal 2 binary64) x.im))))))
(+.f64 (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)) (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))))
(fma.f64 x.re (fma.f64 x.re x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) (.f64 (.f64 x.im (.f64 #s(literal 2 binary64) x.re)) (+.f64 (neg.f64 x.im) x.im)))

eval105.0ms (1.1%)

Compiler: Compiled 9403 to 1105 computations (88.2% saved)

prune75.0ms (0.8%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	435	7	442
Fresh	3	14	17
Picked	2	3	5
Done	1	4	5
Total	441	28	469

Accuracy

100.0%

Counts

469 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.1%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
✓	84.2%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	59.9%	(pow.f64 x.re #s(literal 3 binary64))
	6.3%	(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))
	2.5%	(/.f64 #s(literal -7625597484987 binary64) x.re)
✓	79.5%	(-.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))
▶	50.7%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
✓	50.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
	51.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 729 binary64))
	51.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 27 binary64))
	51.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
	28.7%	(-.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))
	12.8%	(-.f64 x.re x.re)
	4.8%	(-.f64 x.re #s(literal 1 binary64))
	3.9%	(-.f64 x.re #s(literal -7625597484987 binary64))
✓	81.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	76.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	47.3%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
▶	6.3%	(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
	47.4%	(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
▶	36.1%	(*.f64 x.re x.re)
	5.8%	(*.f64 x.re #s(literal 7625597484989 binary64))
	3.0%	(*.f64 x.re #s(literal -1/7625597484987 binary64))
	2.9%	(*.f64 x.re #s(literal -7625597484987 binary64))
	2.6%	(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
	3.0%	(neg.f64 x.re)
✓	2.8%	#s(literal 1 binary64)
▶	2.7%	#s(literal -7625597484987 binary64)

Compiler

Compiled 451 to 306 computations (32.2% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

631×	`fma-define`
573×	`sub-neg`
495×	`distribute-lft-out`
377×	`distribute-lft-in`
347×	`unsub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	386
1	54	386
2	112	381
3	296	357
4	814	353
5	2753	350
6	5326	350
7	7581	350

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(+.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.re)
(-.f64 x.re x.im)
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))
(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
(*.f64 x.re x.im)
#s(literal -2 binary64)
#s(literal -7625597484987 binary64)
(*.f64 x.re x.re)
x.re
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
x.re
(-.f64 #s(literal 2 binary64) x.re)
#s(literal 2 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 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 387420489 binary64)

Outputs
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64)))))
(fma.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)) (.f64 x.re (.f64 (.f64 x.im #s(literal -2 binary64)) x.im)))
(.f64 x.re (+.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re 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 (.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (.f64 x.im (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.re)
(*.f64 x.re (-.f64 x.re x.im))
(-.f64 x.re x.im)
(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -2 binary64))))
(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -2 binary64))))
(.f64 x.re (.f64 #s(literal -2 binary64) (*.f64 x.im x.im)))
(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
(.f64 x.re (.f64 x.im #s(literal -2 binary64)))
(*.f64 x.re x.im)
#s(literal -2 binary64)
#s(literal -7625597484987 binary64)
(*.f64 x.re x.re)
x.re
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
x.re
(-.f64 #s(literal 2 binary64) x.re)
#s(literal 2 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re #s(literal -387420489 binary64))
(fma.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) #s(literal -387420489 binary64))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #s(literal -387420489 binary64))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.re (*.f64 x.im x.im) #s(literal 387420489 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))
(.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(fma.f64 (neg.f64 x.re) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im x.im)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.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
#s(literal 387420489 binary64)

localize144.0ms (1.5%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	95.1%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	92.7%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) x.re)
✓	accuracy	100.0%	(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.re)
	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal -2 binary64))
	accuracy	99.8%	(.f64 x.im (.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))
✓	accuracy	90.4%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))

Results

121.0ms

256×

valid

Compiler

Compiled 100 to 22 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 84.0ms (91.1% of total)

ival-sub: 5.0ms (5.4% of total)

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

const: 1.0ms (1.1% of total)

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

series9.0ms (0.1%)

Counts

6 → 117

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite235.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff`
835×	`log1p-expm1-u`
599×	`expm1-log1p-u`
133×	`associate-r`
121×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	146
1	261	141
2	3616	141

Stop Event

1×	node limit

Counts

6 → 189

Calls

Call 1

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

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

simplify240.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

546×	`fmm-def`
341×	`div-sub`
301×	`fma-define`
271×	`unsub-neg`
262×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	526	9411
1	1351	8468
2	5138	8152

Stop Event

1×	node limit

Counts

306 → 312

Calls

Call 1

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

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

eval61.0ms (0.6%)

Compiler: Compiled 8832 to 1584 computations (82.1% saved)

prune86.0ms (0.9%)

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	472	3	475
Fresh	0	16	16
Picked	2	3	5
Done	1	6	7
Total	475	28	503

Accuracy

100.0%

Counts

503 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.2%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	66.7%	(fma.f64 x.im (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
✓	59.9%	(pow.f64 x.re #s(literal 3 binary64))
	6.3%	(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))
	2.5%	(/.f64 #s(literal -7625597484987 binary64) x.re)
✓	79.5%	(-.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))
✓	50.7%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
✓	50.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
	51.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 729 binary64))
	51.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 27 binary64))
	51.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
	28.7%	(-.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))
	12.8%	(-.f64 x.re x.re)
	4.8%	(-.f64 x.re #s(literal 1 binary64))
	3.9%	(-.f64 x.re #s(literal -7625597484987 binary64))
✓	76.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	81.1%	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -2 binary64) x.re) (.f64 #s(literal -1 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
	47.3%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	47.4%	(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
	14.2%	(*.f64 x.re (neg.f64 x.re))
✓	36.1%	(*.f64 x.re x.re)
	5.8%	(*.f64 x.re #s(literal 7625597484989 binary64))
	3.0%	(*.f64 x.re #s(literal -1/7625597484987 binary64))
	2.9%	(*.f64 x.re #s(literal -7625597484987 binary64))
	2.6%	(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
	3.0%	(neg.f64 x.re)
✓	2.8%	#s(literal 1 binary64)
✓	2.7%	#s(literal -7625597484987 binary64)

Compiler

Compiled 674 to 302 computations (55.2% saved)

regimes43.0ms (0.4%)

Counts

43 → 2

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 27 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 729 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -7625597484987 binary64) (neg.f64 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 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #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 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(fma.f64 x.im (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re 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))))
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64))))
(+.f64 (.f64 x.im (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -2 binary64) x.re) (.f64 #s(literal -1 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (pow.f64 (cbrt.f64 (.f64 x.re (*.f64 x.im #s(literal -2 binary64)))) #s(literal 3 binary64))))

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

Calls

3 calls:

15.0ms	x.re
14.0ms	x.im
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
97.1%	2	`x.re`
90.9%	2	`x.im`
96.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes25.0ms (0.3%)

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 27 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 729 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -7625597484987 binary64) (neg.f64 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 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #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 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(fma.f64 x.im (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re 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))))

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

Calls

2 calls:

12.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
11.0ms	x.re

Results

Accuracy	Segments	Branch
96.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
96.7%	3	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes28.0ms (0.3%)

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 27 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 729 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -7625597484987 binary64) (neg.f64 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 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #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 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))

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

Calls

2 calls:

16.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
10.0ms	x.re

Results

Accuracy	Segments	Branch
92.4%	2	`x.re`
91.3%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes18.0ms (0.2%)

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 27 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 729 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -7625597484987 binary64) (neg.f64 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 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

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

Calls

2 calls:

9.0ms	x.re
8.0ms	x.im

Results

Accuracy	Segments	Branch
84.1%	2	`x.im`
90.4%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 27 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 729 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -7625597484987 binary64) (neg.f64 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 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))

Outputs

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

(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))

(*.f64 x.re x.re)

Calls

2 calls:

8.0ms	x.re
7.0ms	x.im

Results

Accuracy	Segments	Branch
55.8%	2	`x.im`
66.0%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 27 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 729 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 531441 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 387420489 binary64))
(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))

Outputs
(-.f64 x.re x.re)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(*.f64 x.re x.re)

Calls

1 calls:

8.0ms

x.re

Results

Accuracy	Segments	Branch
63.6%	3	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))

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

Calls

2 calls:

5.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
38.7%	2	`x.im`
38.4%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))

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

Calls

2 calls:

7.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
38.4%	2	`x.re`
36.1%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 x.re #s(literal 1 binary64))

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

Calls

1 calls:

4.0ms

x.re

Results

Accuracy	Segments	Branch
36.1%	1	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))

Outputs
(*.f64 x.re #s(literal 7625597484989 binary64))

Calls

2 calls:

3.0ms	x.im
3.0ms	x.re

Results

Accuracy	Segments	Branch
5.8%	1	`x.im`
5.8%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))

Outputs
(*.f64 x.re #s(literal -1/7625597484987 binary64))

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
3.0%	1	`x.im`
3.0%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))

Outputs
(neg.f64 x.re)

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
3.0%	1	`x.im`
3.0%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -7625597484987 binary64)

Outputs
#s(literal -7625597484987 binary64)

Calls

2 calls:

1.0ms	x.im
1.0ms	x.re

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch235.0ms (2.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
234.0ms	1.6200982202334238e+200	7.32263650770571e+204

Results

230.0ms

128×

valid

Compiler

Compiled 226 to 135 computations (40.3% saved)

Precisions

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

ival-mult: 5.0ms (69.9% of total)

ival-sub: 1.0ms (14% of total)

ival-add: 1.0ms (14% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-9.249969512746489e-302	-0.0

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.6200982202334238e+200	7.32263650770571e+204

Results

15.0ms

128×

valid

Compiler

Compiled 250 to 143 computations (42.8% saved)

Precisions

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

ival-mult: 10.0ms (84.7% of total)

ival-sub: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.9588078264846656e+152	7.711101940904114e+155

Results

11.0ms

128×

valid

Compiler

Compiled 234 to 143 computations (38.9% saved)

Precisions

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

ival-mult: 5.0ms (67.6% of total)

ival-sub: 1.0ms (13.5% of total)

ival-add: 1.0ms (13.5% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.9588078264846656e+152	7.711101940904114e+155
17.0ms	0.033132358094201945	4.471996741771845

Results

27.0ms

240×

valid

Compiler

Compiled 410 to 259 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 10.0ms (56.9% of total)

ival-sub: 6.0ms (34.1% of total)

ival-add: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.9588078264846656e+152	7.711101940904114e+155
19.0ms	8.314458986739595e-109	6.113994125983723e-105

Results

26.0ms

256×

valid

Compiler

Compiled 346 to 223 computations (35.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 15.0ms (81.7% of total)

ival-sub: 2.0ms (10.9% of total)

ival-add: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

bsearch154.0ms (1.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
152.0ms	9.25698398663631e+188	6.811254152413192e+194

Results

12.0ms

144×

valid

Compiler

Compiled 143 to 96 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (72.6% of total)

ival-sub: 1.0ms (12.1% of total)

ival-add: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

bsearch235.0ms (2.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
233.0ms	9.490554775256208e-69	2.87514067109149e-62

Results

229.0ms

144×

valid

Compiler

Compiled 134 to 87 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-mult: 223.0ms (99.2% of total)

ival-sub: 1.0ms (0.4% of total)

ival-add: 1.0ms (0.4% of total)

const: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
21×	`+-commutative`
19×	`sub-neg`
11×	`neg-sub0`
11×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	831
1	127	831
2	171	831
3	197	831
4	209	831
5	211	831

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (*.f64 x.re x.re))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (fma.f64 x.im (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 x.re #s(literal 220000000000000000139853194806898428311119764471703627644923758996771683511103935140397510709262461170940556310077397859784116039565425662642862612258580395758107628559256064865640255966600887086874624 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 5854679515581645/9007199254740992 binary64)) (-.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)) (if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/4 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 309869985370429/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (-.f64 x.re x.re) (if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/4 binary64)) (.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 659999999999999966717194133969270475895582624515500014411682978717242548768582973673710397832147418454401017381855176370609113061711267248515170802281302136617125483004155128286002160672742309888 binary64)) (.f64 x.re x.re) (.f64 x.re (neg.f64 x.re)))
(if (<=.f64 x.re #s(literal 1408031805125765/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(neg.f64 x.re)
#s(literal 1 binary64)
#s(literal -7625597484987 binary64)

Outputs
(if (<=.f64 x.re #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 199999999999999993946624442502072331894900655091004725296483501900693696871108151068392676809412503736055024831947764816364271468736556969278770082094479755742047182133579963622363626612334257709776896 binary64)) (fma.f64 (+.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (*.f64 x.re x.re))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (fma.f64 x.im (.f64 (-.f64 x.re x.im) x.re) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -4825645764048353/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) (fma.f64 x.im (.f64 x.re (-.f64 x.re x.im)) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal -2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 x.re #s(literal 220000000000000000139853194806898428311119764471703627644923758996771683511103935140397510709262461170940556310077397859784116039565425662642862612258580395758107628559256064865640255966600887086874624 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 220000000000000000139853194806898428311119764471703627644923758996771683511103935140397510709262461170940556310077397859784116039565425662642862612258580395758107628559256064865640255966600887086874624 binary64)) (-.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 5854679515581645/9007199254740992 binary64)) (-.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)) (if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/4 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 5854679515581645/9007199254740992 binary64)) (-.f64 (.f64 x.re (.f64 x.im #s(literal -27 binary64))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) (if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/4 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 309869985370429/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (-.f64 x.re x.re) (if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/4 binary64)) (.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 309869985370429/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (-.f64 x.re x.re) (if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/4 binary64)) (.f64 x.re x.re)))
(if (<=.f64 x.im #s(literal 659999999999999966717194133969270475895582624515500014411682978717242548768582973673710397832147418454401017381855176370609113061711267248515170802281302136617125483004155128286002160672742309888 binary64)) (.f64 x.re x.re) (.f64 x.re (neg.f64 x.re)))
(if (<=.f64 x.re #s(literal 1408031805125765/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(neg.f64 x.re)
#s(literal 1 binary64)
#s(literal -7625597484987 binary64)

soundness2.2s (22.7%)

Rules

1017×	`unsub-neg`
999×	`log1p-expm1-u`
999×	`expm1-log1p-u`
817×	`log1p-expm1-u`
716×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	591
1	149	519
2	395	483
3	1507	301
4	4579	301
5	6861	301
6	7620	301
0	863	3576
1	2881	3576
0	31	512
1	547	434
2	6894	434
0	366	11916
1	888	9498
2	3032	9134
0	219	11951
1	591	11060
2	1705	10544
3	5277	10240
0	35	521
1	569	521
0	19	115
1	314	111
2	4515	111
0	526	9411
1	1351	8468
2	5138	8152

Stop Event

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

Compiler

Compiled 1104 to 333 computations (69.8% saved)

preprocess353.0ms (3.6%)

Remove: (abs x.im)
Compiler: Compiled 800 to 346 computations (56.8% saved)

analyze0.0ms (0%)

sample1.1s (11.3%)

preprocess132.0ms (1.4%)

explain173.0ms (1.8%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify103.0ms (1.1%)

localize202.0ms (2.1%)

series34.0ms (0.3%)

rewrite439.0ms (4.5%)

simplify125.0ms (1.3%)

eval185.0ms (1.9%)

prune165.0ms (1.7%)

simplify12.0ms (0.1%)

localize120.0ms (1.2%)

series27.0ms (0.3%)

rewrite71.0ms (0.7%)

simplify1.5s (15.8%)

eval43.0ms (0.4%)

prune106.0ms (1.1%)

simplify97.0ms (1%)

localize112.0ms (1.2%)

series5.0ms (0%)

rewrite167.0ms (1.7%)

simplify207.0ms (2.1%)

eval105.0ms (1.1%)

prune75.0ms (0.8%)

simplify82.0ms (0.8%)

localize144.0ms (1.5%)

series9.0ms (0.1%)

rewrite235.0ms (2.4%)

simplify240.0ms (2.5%)

eval61.0ms (0.6%)

prune86.0ms (0.9%)

regimes43.0ms (0.4%)

regimes25.0ms (0.3%)

regimes28.0ms (0.3%)

regimes18.0ms (0.2%)

regimes17.0ms (0.2%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch235.0ms (2.4%)

bsearch0.0ms (0%)

bsearch21.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch38.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch154.0ms (1.6%)

bsearch235.0ms (2.4%)

simplify16.0ms (0.2%)

soundness2.2s (22.7%)

preprocess353.0ms (3.6%)

end0.0ms (0%)

Profiling