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%)

Results

902.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 665.0ms

ival-mult: 526.0ms (79.2% of total)

ival-sub: 89.0ms (13.4% of total)

ival-add: 40.0ms (6% of total)

const: 7.0ms (1.1% of total)

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

Bogosity

preprocess133.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x.im)

(negabs x.re)

explain116.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
23	-	-	`(-.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))`
16	-	-	`(-.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	-	-	`x.im`
0	-	-	`x.re`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.im)`

Results

62.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 27.0ms (78.4% of total)

ival-sub: 5.0ms (14.5% of total)

ival-add: 2.0ms (5.8% of total)

const: 1.0ms (2.9% of total)

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

eval1.0ms (0%)

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

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.8%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
▶	83.8%	(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)))))
▶	83.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	80.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶	80.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Compiler

Compiled 168 to 100 computations (40.5% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(*.f64 x.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))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	64	(neg.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.im)))
✓	cost-diff	64	(.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))

Rules

737×	`fma-neg`
733×	`unsub-neg`
631×	`fma-define`
496×	`sub-neg`
264×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	959
1	94	926
2	216	906
3	497	798
4	1218	798
5	3400	798
6	6121	798

Stop Event

1×	node limit

Calls

Call 1

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

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

localize204.0ms (2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal -2 binary64))
✓	accuracy	94.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	87.9%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	accuracy	85.9%	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) 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	87.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	accuracy	85.9%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.7%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	87.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
✓	accuracy	85.9%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 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	94.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
✓	accuracy	99.8%	(.f64 x.im (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
✓	accuracy	94.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	87.9%	(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)))))

Results

89.0ms

256×

valid

Compiler

Compiled 236 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 27.0ms (60.1% of total)

ival-fma: 5.0ms (11.1% of total)

ival-pow: 4.0ms (8.9% of total)

ival-add: 3.0ms (6.7% of total)

ival-sub: 2.0ms (4.5% of total)

const: 1.0ms (2.2% of total)

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

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

series110.0ms (1.1%)

Counts

22 → 444

Calls

Call 1

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

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

Calls

114 calls:

Time	Variable		Point	Expression
62.0ms	x.re	@	-inf	(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
2.0ms	x.im	@	-inf	(neg (* 2 (* x.re x.im)))
1.0ms	x.im	@	0	(* x.im (* x.im -3))
1.0ms	x.re	@	0	(* x.im (neg (* 2 (* x.re x.im))))
1.0ms	x.re	@	-inf	(neg (* 2 (* x.re x.im)))

rewrite295.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

342×	`associate-r`
259×	`log1p-expm1-u`
259×	`expm1-log1p-u`
254×	`add-exp-log`
252×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	604
1	658	488

Stop Event

1×	node limit

Counts

22 → 773

Calls

Call 1

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

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

simplify304.0ms (3%)

Algorithm

1×	egg-herbie

Rules

185×	`*-commutative`
70×	`+-commutative`
52×	`sub-neg`
45×	`associate-r`
44×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	911	6149
1	3147	6149

Stop Event

1×

unsound

Counts

1217 → 505

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

eval162.0ms (1.6%)

Compiler: Compiled 14988 to 1974 computations (86.8% saved)

prune105.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	720	10	730
Fresh	0	0	0
Picked	4	1	5
Done	0	0	0
Total	724	11	735

Accuracy

100.0%

Counts

735 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.3%	(fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	83.6%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64)) x.im)))
▶	83.8%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re #s(literal -2 binary64)) x.im)))
▶	62.8%	(pow.f64 x.re #s(literal 3 binary64))
	83.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) x.im))
▶	0.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im))
	86.2%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	53.4%	(-.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))
	85.3%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	80.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	50.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))

Compiler

Compiled 337 to 209 computations (38% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	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	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re #s(literal -2 binary64)) x.im)))
	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	128	(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓	cost-diff	192	(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
✓	cost-diff	192	(*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im)
✓	cost-diff	192	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im))
	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 x.re)
✓	cost-diff	0	(fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Rules

10×	`*-commutative`
3×	`fma-neg`
3×	`cancel-sign-sub-inv`
3×	`sub-neg`
3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	726
1	103	726

Stop Event

1×

unsound

Calls

Call 1

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

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

localize161.0ms (1.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.re #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 x.im (.f64 (*.f64 x.re #s(literal -2 binary64)) x.im))
	accuracy	100.0%	(*.f64 x.im x.im)
	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 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im)
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 x.im x.re) (.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.im x.re)
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))

Results

77.0ms

256×

invalid

Compiler

Compiled 198 to 32 computations (83.8% saved)

Precisions

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

ival-mult: 23.0ms (51.8% of total)

ival-add: 5.0ms (11.3% of total)

ival-fma: 5.0ms (11.3% of total)

ival-pow: 5.0ms (11.3% of total)

ival-sub: 4.0ms (9% of total)

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

const: 1.0ms (2.3% of total)

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

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

series27.0ms (0.3%)

Counts

14 → 192

Calls

Call 1

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

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

Calls

63 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

23×	`add-exp-log`
23×	`add-cbrt-cube`
23×	`add-log-exp`
23×	`pow1`
23×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	299
1	622	299

Stop Event

1×

unsound

Counts

14 → 107

Calls

Call 1

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

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

simplify210.0ms (2%)

Algorithm

1×	egg-herbie

Rules

393×	`times-frac`
300×	`associate-/r*`
294×	`associate-r`
284×	`associate-l`
269×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	372	9073
1	1035	8754
2	3650	8341

Stop Event

1×	node limit

Counts

299 → 298

Calls

Call 1

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

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

eval129.0ms (1.3%)

Compiler: Compiled 10791 to 1631 computations (84.9% saved)

prune83.0ms (0.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	545	8	553
Fresh	2	3	5
Picked	3	2	5
Done	1	0	1
Total	551	13	564

Accuracy

100.0%

Counts

564 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.1%	(fma.f64 (.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	83.6%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64)) x.im)))
✓	83.8%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re #s(literal -2 binary64)) x.im)))
✓	62.8%	(pow.f64 x.re #s(literal 3 binary64))
	19.3%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x.re x.im) (.f64 x.re (+.f64 x.re #s(literal -27 binary64))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	54.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (+.f64 x.im #s(literal 0 binary64)))
▶	83.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) x.im))
	75.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 #s(literal 0 binary64) x.im))
▶	53.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (neg.f64 x.im))
	36.0%	(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	85.3%	(+.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)))
	85.4%	(+.f64 (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
▶	50.9%	(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))

Compiler

Compiled 373 to 234 computations (37.3% saved)

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x.im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
	cost-diff	-6336	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	-6336	(*.f64 x.im x.im)
	cost-diff	-6336	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	128	(+.f64 x.im #s(literal 0 binary64))
	cost-diff	-6336	(*.f64 x.im x.im)
	cost-diff	-6336	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	cost-diff	0	(neg.f64 x.im)
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(cbrt.f64 (*.f64 x.im #s(literal -3 binary64)))
	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	6528	(fma.f64 (.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))

Rules

782×	`fma-neg`
691×	`sub-neg`
656×	`unsub-neg`
501×	`fma-define`
266×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	664
1	84	653
2	248	647
3	922	635
4	2841	628
5	5232	628
6	7185	628

Stop Event

1×	node limit

Calls

Call 1

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

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

localize759.0ms (7.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.im #s(literal 2 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
✓	accuracy	90.1%	(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)
	accuracy	96.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	95.8%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	95.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) x.im))
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	96.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	95.8%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(neg.f64 x.im)
	accuracy	96.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	95.8%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.5%	(cbrt.f64 (*.f64 x.im #s(literal -3 binary64)))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))
✓	accuracy	92.3%	(fma.f64 (.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Results

368.0ms	91×	5	exit
237.0ms	165×	0	valid

Compiler

Compiled 194 to 27 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-cbrt: 192.0ms (52.9% of total)

backward-pass: 73.0ms (20.1% of total)

ival-pow: 39.0ms (10.8% of total)

ival-mult: 37.0ms (10.2% of total)

ival-fma: 9.0ms (2.5% of total)

ival-sub: 6.0ms (1.7% of total)

ival-neg: 4.0ms (1.1% of total)

const: 2.0ms (0.6% of total)

ival-add: 1.0ms (0.3% of total)

series32.0ms (0.3%)

Counts

11 → 144

Calls

Call 1

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

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

Calls

48 calls:

Time	Variable		Point	Expression
7.0ms	x.im	@	inf	(+ (* (* x.im x.re) (pow (cbrt (* x.im -3)) 3)) (pow x.re 3))
3.0ms	x.im	@	0	(pow (cbrt (* x.im -3)) 3)
2.0ms	x.im	@	-inf	(pow (cbrt (* x.im -3)) 3)
2.0ms	x.im	@	inf	(cbrt (* x.im -3))
2.0ms	x.im	@	0	(cbrt (* x.im -3))

rewrite272.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1083×	`log1p-expm1-u`
325×	`expm1-log1p-u`
220×	`associate-r`
184×	`add-cube-cbrt`
181×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	244
1	471	220
2	6152	220

Stop Event

1×	node limit

Counts

11 → 332

Calls

Call 1

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

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

simplify373.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-r`
515×	`associate-l`
432×	`times-frac`
376×	`exp-prod`
301×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	619	13095
1	1268	12757
2	5922	12742

Stop Event

1×	node limit

Counts

476 → 364

Calls

Call 1

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

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

eval227.0ms (2.2%)

Compiler: Compiled 14306 to 1840 computations (87.1% saved)

prune147.0ms (1.4%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	746	7	753
Fresh	0	6	6
Picked	2	3	5
Done	0	2	2
Total	748	18	766

Accuracy

100.0%

Counts

766 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.1%	(fma.f64 (.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	68.5%	(fma.f64 (cbrt.f64 (.f64 (.f64 (.f64 x.im x.re) (.f64 x.im x.re)) (.f64 x.im x.re))) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	83.6%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64)) x.im)))
✓	83.8%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re #s(literal -2 binary64)) x.im)))
▶	86.8%	(pow.f64 (cbrt.f64 (fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
✓	62.8%	(pow.f64 x.re #s(literal 3 binary64))
▶	19.3%	(-.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 x.re x.im) (.f64 x.re (+.f64 x.re #s(literal -27 binary64))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	83.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) x.im))
	75.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 #s(literal 0 binary64) x.im))
✓	53.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (neg.f64 x.im))
	54.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) x.im)
▶	41.4%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (+.f64 x.im #s(literal 0 binary64)))
	40.3%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (neg.f64 x.im))
	36.0%	(-.f64 (.f64 #s(literal -27 binary64) (.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	85.3%	(+.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)))
	85.4%	(+.f64 (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
	50.9%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
▶	50.9%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

Compiler

Compiled 475 to 297 computations (37.5% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	6464	(+.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	12736	(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
✓	cost-diff	12736	(.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
✓	cost-diff	0	(.f64 (+.f64 x.re x.im) (.f64 x.re (+.f64 x.re #s(literal -27 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 x.re x.im) (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
	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.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	128	(+.f64 x.im #s(literal 0 binary64))
	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
✓	cost-diff	0	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
	cost-diff	0	(*.f64 x.im x.re)
	cost-diff	0	(fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	0	(cbrt.f64 (fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))

Rules

652×	`fma-define`
447×	`distribute-lft-in`
446×	`fma-neg`
405×	`distribute-rgt-in`
373×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	822
1	106	798
2	308	793
3	1113	793
4	3056	793
5	5669	793
6	7534	793

Stop Event

1×	node limit

Calls

Call 1

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

localize344.0ms (3.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
✓	accuracy	99.7%	(*.f64 x.im (sqrt.f64 x.re))
✓	accuracy	99.6%	(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
✓	accuracy	87.4%	(+.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 x.re (+.f64 x.re #s(literal -27 binary64)))
✓	accuracy	99.8%	(.f64 (+.f64 x.re x.im) (.f64 x.re (+.f64 x.re #s(literal -27 binary64))))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 x.re x.im) (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
	accuracy	100.0%	(+.f64 x.im #s(literal 0 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (+.f64 x.im #s(literal 0 binary64)))
	accuracy	100.0%	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
	accuracy	99.8%	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 x.im x.im))
✓	accuracy	85.9%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.7%	(pow.f64 (cbrt.f64 (fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
	accuracy	88.8%	(fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	accuracy	40.0%	(cbrt.f64 (fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))

Results

289.0ms	251×	0	valid
3.0ms	2×	2	valid
3.0ms	3×	1	valid

Compiler

Compiled 228 to 37 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 23.0ms (40.5% of total)

ival-pow: 13.0ms (22.9% of total)

ival-add: 8.0ms (14.1% of total)

ival-fma: 3.0ms (5.3% of total)

ival-div: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

ival-sqrt: 2.0ms (3.5% of total)

ival-cbrt: 2.0ms (3.5% of total)

const: 1.0ms (1.8% of total)

backward-pass: 1.0ms (1.8% of total)

series90.0ms (0.9%)

Counts

12 → 244

Calls

Call 1

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

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

66 calls:

Time	Variable		Point	Expression
47.0ms	x.re	@	0	(cbrt (+ (* (* x.im x.re) (* x.im -3)) (pow x.re 3)))
6.0ms	x.re	@	-inf	(* x.re (+ x.re -27))
3.0ms	x.im	@	inf	(cbrt (+ (* (* x.im x.re) (* x.im -3)) (pow x.re 3)))
2.0ms	x.im	@	-inf	(- (* (* (+ x.im x.re) (+ x.re -27)) x.re) (+ x.im 0))
2.0ms	x.re	@	-inf	(cbrt (+ (* (* x.im x.re) (* x.im -3)) (pow x.re 3)))

rewrite356.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

266×	`associate-r`
247×	`log1p-expm1-u`
247×	`expm1-log1p-u`
243×	`add-cube-cbrt`
240×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	372
1	644	359

Stop Event

1×	node limit

Counts

12 → 374

Calls

Call 1

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

Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))))
(+.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1 binary64)) (.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 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))))) (/.f64 (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))))))
(.f64 (cbrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64)))) (.f64 (cbrt.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))))
(.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))))))
(.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64))) (hypot.f64 (.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64)))) #s(literal 3 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (.f64 (sqrt.f64 (.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64))))) (cbrt.f64 (hypot.f64 (.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) #s(literal 9 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
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(/.f64 (*.f64 x.re (fma.f64 x.re x.re #s(literal -729 binary64))) (+.f64 x.re #s(literal 27 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) x.re) (fma.f64 x.re x.re (-.f64 #s(literal 729 binary64) (.f64 x.re #s(literal -27 binary64)))))
(/.f64 (*.f64 (fma.f64 x.re x.re #s(literal -729 binary64)) x.re) (+.f64 x.re #s(literal 27 binary64)))
(pow.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x.re #s(literal -27 binary64))) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re x.re (*.f64 x.re #s(literal -27 binary64)))
(fma.f64 x.re x.re (*.f64 #s(literal -27 binary64) x.re))
(+.f64 (.f64 x.im (sqrt.f64 x.re)) (.f64 (sqrt.f64 x.re) #s(literal 0 binary64)))
(+.f64 (.f64 x.im (sqrt.f64 x.re)) (.f64 #s(literal 0 binary64) (sqrt.f64 x.re)))
(+.f64 (.f64 (sqrt.f64 x.re) #s(literal 0 binary64)) (.f64 x.im (sqrt.f64 x.re)))
(+.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x.re)) (.f64 x.im (sqrt.f64 x.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (sqrt.f64 x.re)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))) x.im)
(/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (sqrt.f64 x.re)) (pow.f64 x.im #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (sqrt.f64 x.re)) x.im)
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fabs.f64 (*.f64 x.im (sqrt.f64 x.re)))
(log.f64 (pow.f64 (exp.f64 x.im) (sqrt.f64 x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (sqrt.f64 x.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (sqrt.f64 x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (sqrt.f64 x.re))))
(exp.f64 (log.f64 (*.f64 x.im (sqrt.f64 x.re))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (sqrt.f64 x.re))) #s(literal 1 binary64)))

simplify395.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

547×	`fma-define`
406×	`associate-/r*`
345×	`distribute-lft-in`
331×	`distribute-rgt-in`
307×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1164	30522
1	3079	29111

Stop Event

1×	node limit

Counts

618 → 638

Calls

Call 1

Inputs
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -3 binary64) (.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))))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(+.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x.re))))
(+.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64)))
(.f64 x.im (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64)))))
(.f64 x.im (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 13 binary64)) (pow.f64 x.im #s(literal 13 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 25 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (+.f64 (.f64 #s(literal -2/9 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/27 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 13 binary64)) (pow.f64 x.im #s(literal 13 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 x.re x.im)) (.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/9 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 13 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 x.re x.im)) (.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 13 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 7 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (+.f64 (.f64 #s(literal -2/9 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/27 binary64) (/.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 x.re x.im)) (*.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))))
(+.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))))
(+.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/9 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x.im #s(literal 10 binary64)) (pow.f64 x.re #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 5/81 binary64) (.f64 (cbrt.f64 (/.f64 x.re (pow.f64 x.im #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 8 binary64))))))))))
x.re
(.f64 x.re (+.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 x.re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 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 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 6 binary64))) (.f64 #s(literal 6 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (cbrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (.f64 #s(literal -6 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -27 binary64) x.re))
(+.f64 (*.f64 x.re #s(literal -27 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -27 binary64) x.re) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 #s(literal -27 binary64) x.re) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (.f64 (.f64 x.re #s(literal -27 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 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -27 binary64) x.re) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -27 binary64) x.re)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -27 binary64) x.re)))))
(/.f64 (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (.f64 (.f64 x.re #s(literal -27 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 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (.f64 (.f64 #s(literal -27 binary64) x.re) (.f64 #s(literal -27 binary64) x.re))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -27 binary64) x.re)))
(/.f64 (.f64 x.re (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64))) (fma.f64 x.re x.re (-.f64 #s(literal 729 binary64) (.f64 x.re #s(literal -27 binary64)))))
(/.f64 (*.f64 x.re (fma.f64 x.re x.re #s(literal -729 binary64))) (+.f64 x.re #s(literal 27 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -19683 binary64)) x.re) (fma.f64 x.re x.re (-.f64 #s(literal 729 binary64) (.f64 x.re #s(literal -27 binary64)))))
(/.f64 (*.f64 (fma.f64 x.re x.re #s(literal -729 binary64)) x.re) (+.f64 x.re #s(literal 27 binary64)))
(pow.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x.re #s(literal -27 binary64))) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re x.re (*.f64 x.re #s(literal -27 binary64)))
(fma.f64 x.re x.re (*.f64 #s(literal -27 binary64) x.re))
(+.f64 (.f64 x.im (sqrt.f64 x.re)) (.f64 (sqrt.f64 x.re) #s(literal 0 binary64)))
(+.f64 (.f64 x.im (sqrt.f64 x.re)) (.f64 #s(literal 0 binary64) (sqrt.f64 x.re)))
(+.f64 (.f64 (sqrt.f64 x.re) #s(literal 0 binary64)) (.f64 x.im (sqrt.f64 x.re)))
(+.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 x.re)) (.f64 x.im (sqrt.f64 x.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (sqrt.f64 x.re)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 x.im #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))) x.im)
(/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (sqrt.f64 x.re)) (pow.f64 x.im #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (sqrt.f64 x.re)) x.im)
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fabs.f64 (*.f64 x.im (sqrt.f64 x.re)))
(log.f64 (pow.f64 (exp.f64 x.im) (sqrt.f64 x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (sqrt.f64 x.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (sqrt.f64 x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (sqrt.f64 x.re))))
(exp.f64 (log.f64 (*.f64 x.im (sqrt.f64 x.re))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (sqrt.f64 x.re))) #s(literal 1 binary64)))

Outputs
(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 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re #s(literal -3 binary64) (/.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 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 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re #s(literal -3 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re #s(literal -3 binary64) (/.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 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)))
(.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 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(+.f64 x.re (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(-.f64 x.re (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(+.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x.re))))
(+.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x.re))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x.re)) x.re)
(+.f64 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x.re))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -5/3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) x.re)) x.re)
(.f64 (cbrt.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64)))
(.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 x.im (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64)))))
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(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (/.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))) x.im)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 (sqrt.f64 x.re) x.im))
(/.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (sqrt.f64 x.re)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x.re) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (/.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (sqrt.f64 x.re)) x.im)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 (sqrt.f64 x.re) x.im))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 1 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 3 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))
(pow.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))
(pow.f64 (sqrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 2 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))
(sqrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fabs.f64 (*.f64 x.im (sqrt.f64 x.re)))
(log.f64 (pow.f64 (exp.f64 x.im) (sqrt.f64 x.re)))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (sqrt.f64 x.re)))))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))
(cbrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (sqrt.f64 x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (sqrt.f64 x.re))))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))
(exp.f64 (log.f64 (*.f64 x.im (sqrt.f64 x.re))))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))
(exp.f64 (.f64 (log.f64 (.f64 x.im (sqrt.f64 x.re))) #s(literal 1 binary64)))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(*.f64 x.im (sqrt.f64 x.re))

eval175.0ms (1.7%)

Compiler: Compiled 19781 to 3440 computations (82.6% saved)

prune127.0ms (1.2%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	889	5	894
Fresh	4	4	8
Picked	3	2	5
Done	0	5	5
Total	896	16	912

Accuracy

100.0%

Counts

912 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.1%	(fma.f64 (.f64 x.im x.re) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	83.6%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64)) x.im)))
✓	83.8%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (*.f64 x.re #s(literal -2 binary64)) x.im)))
	84.8%	(pow.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
✓	62.8%	(pow.f64 x.re #s(literal 3 binary64))
✓	83.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) x.im))
	75.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 #s(literal 0 binary64) x.im))
✓	53.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (neg.f64 x.im))
	54.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) x.im)
	40.3%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (neg.f64 x.im))
✓	85.3%	(+.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)))
	85.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
	55.5%	(.f64 (.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
✓	50.9%	(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
	28.2%	(.f64 x.im (-.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) #s(literal 1 binary64)))
	4.0%	(neg.f64 x.im)

Compiler

Compiled 661 to 251 computations (62% saved)

regimes33.0ms (0.3%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x.re
10.0ms	x.im
10.0ms	(-.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
97.9%	3	`x.re`
92.8%	2	`x.im`
97.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes159.0ms (1.6%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

153.0ms	x.re
5.0ms	(-.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
97.8%	3	`x.re`
97.5%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

x.re

Results

Accuracy	Segments	Branch
97.1%	3	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes25.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

20.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
85.3%	2	`x.im`
92.5%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

x.re

Results

Accuracy	Segments	Branch
91.0%	3	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 x.im (-.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) #s(literal 1 binary64)))

Calls

1 calls:

3.0ms

x.re

Results

Accuracy	Segments	Branch
91.0%	3	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

(*.f64 x.im (-.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) #s(literal 1 binary64)))

Calls

1 calls:

3.0ms

x.re

Results

Accuracy	Segments	Branch
91.0%	3	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(.f64 (.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
(.f64 x.im (-.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) #s(literal 1 binary64)))

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
55.5%	1	`x.im`
78.1%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

x.re

Results

Accuracy	Segments	Branch
55.5%	1	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
50.9%	1	`x.im`
50.9%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 x.im)

Outputs
(neg.f64 x.im)

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
4.0%	1	`x.im`
4.0%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-5.0878304307747465e-300	0.0

Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch79.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	6.686789095798146e+195	4.2973318437438417e+207
55.0ms	3.2872542226763406e-105	2.4446643028056425e-98

Results

64.0ms

304×

valid

Compiler

Compiled 694 to 416 computations (40.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 51.0ms (91.5% of total)

ival-sub: 3.0ms (5.4% of total)

ival-add: 2.0ms (3.6% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.602710693137391e+128	4.696039202191423e+135
20.0ms	3.2872542226763406e-105	2.4446643028056425e-98

Results

26.0ms

288×

valid

Compiler

Compiled 611 to 384 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 13.0ms (75.1% of total)

ival-sub: 3.0ms (17.3% of total)

ival-add: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

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

bsearch104.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	1.5207677140174563e+144	3.4635813529459446e+145
24.0ms	3.2872542226763406e-105	2.4446643028056425e-98

Results

93.0ms

256×

valid

Compiler

Compiled 484 to 315 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 74.0ms (95.3% of total)

ival-sub: 2.0ms (2.6% of total)

ival-add: 1.0ms (1.3% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.5207677140174563e+144	3.4635813529459446e+145
9.0ms	1.833772613491331e-16	4.53304821233266e-16

Results

18.0ms

192×

valid

Compiler

Compiled 368 to 235 computations (36.1% saved)

Precisions

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

ival-mult: 10.0ms (76.5% of total)

ival-sub: 2.0ms (15.3% of total)

ival-add: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.4879029904377484e+153	3.032580662213443e+159
10.0ms	1.833772613491331e-16	4.53304821233266e-16

Results

21.0ms

224×

valid

Compiler

Compiled 394 to 257 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 11.0ms (73.7% of total)

ival-sub: 2.0ms (13.4% of total)

ival-add: 1.0ms (6.7% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.4879029904377484e+153	3.032580662213443e+159
18.0ms	4.53304821233266e-16	2.2160574468222323e-10

Results

26.0ms

288×

valid

Compiler

Compiled 476 to 303 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 12.0ms (72.9% of total)

ival-sub: 3.0ms (18.2% of total)

ival-add: 1.0ms (6.1% of total)

const: 0.0ms (0% of total)

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

bsearch89.0ms (0.9%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
87.0ms	3.032580662213443e+159	2.929094030243956e+161

Results

84.0ms

112×

valid

Compiler

Compiled 180 to 127 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-sub: 75.0ms (93.4% of total)

ival-mult: 5.0ms (6.2% of total)

ival-add: 1.0ms (1.2% of total)

const: 0.0ms (0% of total)

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

simplify220.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

191×	`distribute-lft-neg-in`
150×	`cancel-sign-sub`
125×	`neg-mul-1`
110×	`neg-sub0`
82×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1205
1	153	1193
2	216	1193
3	297	1193
4	427	1193
5	562	1193
6	668	1193
7	855	1193
8	1044	1193
9	1192	1193
10	1299	1193
11	1337	1193
12	1345	1193
13	1349	1193
14	1350	1193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 x.re #s(literal 5680949731791199/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) x.im)) (if (<=.f64 x.re #s(literal 179999999999999991016707518063463289827511486768673069261063360119499846368497152099667314694638725690583907271386862922600467261406190514204061002468612394658077485249816552721986325270723566063616786432 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (+.f64 x.im #s(literal 0 binary64)))))
(if (<=.f64 x.re #s(literal 6068287213504235/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) x.im)) (if (<=.f64 x.re #s(literal 2800000000000000022235628261427261100453817541725592140532421187135456772888803760925717889302924500514634074832381370850830130511609856 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) x.im)) (-.f64 (.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (neg.f64 x.im))))
(if (<=.f64 x.re #s(literal 1063854167302651/19701003098197239606139520050071806902539869635232723333974146702122860885748605305707133127442457820403313995153408 binary64)) (.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) x.im)) (if (<=.f64 x.re #s(literal 33999999999999999074426141368628294915385504456747879726324637504902713122878961583179721980830817600413759135463327635707469196899030380388024320 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 #s(literal 0 binary64) x.im)) (-.f64 (.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (+.f64 x.im #s(literal 0 binary64)))))
(if (<=.f64 x.re #s(literal 3752245776675559/20282409603651670423947251286016 binary64)) (.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) x.im)) (if (<=.f64 x.re #s(literal 33999999999999999074426141368628294915385504456747879726324637504902713122878961583179721980830817600413759135463327635707469196899030380388024320 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (neg.f64 x.im)) (-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (+.f64 x.im #s(literal 0 binary64)))))
(if (<=.f64 x.re #s(literal 3752245776675559/20282409603651670423947251286016 binary64)) (.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) 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) (neg.f64 x.im)) (.f64 x.im (-.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 x.re #s(literal 3232509030581985/1267650600228229401496703205376 binary64)) (.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) 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) x.im) (.f64 x.im (-.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) #s(literal 1 binary64)))))
(if (<=.f64 x.re #s(literal 3099999999999999817324408239172007286417739129598932933060262535888233845284633778529041604811783473283169466631046368021312013579618006206298790927897322323968 binary64)) (.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) x.im)) (.f64 x.im (-.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) #s(literal 1 binary64))))
(.f64 (.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(neg.f64 x.im)

Outputs
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (.f64 (.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -7540071506325551/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 x.re #s(literal 5680949731791199/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) x.im)) (if (<=.f64 x.re #s(literal 179999999999999991016707518063463289827511486768673069261063360119499846368497152099667314694638725690583907271386862922600467261406190514204061002468612394658077485249816552721986325270723566063616786432 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (+.f64 x.im #s(literal 0 binary64)))))
(if (<=.f64 x.re #s(literal 5680949731791199/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))) (if (<=.f64 x.re #s(literal 179999999999999991016707518063463289827511486768673069261063360119499846368497152099667314694638725690583907271386862922600467261406190514204061002468612394658077485249816552721986325270723566063616786432 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 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))) x.im)))
(if (<=.f64 x.re #s(literal 6068287213504235/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) x.im)) (if (<=.f64 x.re #s(literal 2800000000000000022235628261427261100453817541725592140532421187135456772888803760925717889302924500514634074832381370850830130511609856 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) x.im)) (-.f64 (.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (neg.f64 x.im))))
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(.f64 (.f64 x.re x.im) (*.f64 #s(literal -3 binary64) x.im))
(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(.f64 x.re (.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(neg.f64 x.im)

soundness2.3s (22.7%)

Rules

1083×	`log1p-expm1-u`
1032×	`unsub-neg`
568×	`fma-define`
547×	`fma-define`
420×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301
0	911	6149
1	3147	6149
0	35	299
1	622	299
0	372	9073
1	1035	8754
2	3650	8341
0	38	604
1	658	488
0	1164	30522
1	3079	29111
0	39	372
1	644	359
0	31	244
1	471	220
2	6152	220

Stop Event

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

Compiler

Compiled 1104 to 312 computations (71.7% saved)

preprocess229.0ms (2.2%)

Remove: (abs x.im)
Compiler: Compiled 1534 to 636 computations (58.5% saved)

analyze0.0ms (0%)

sample1.1s (11%)

preprocess133.0ms (1.3%)

explain116.0ms (1.1%)

eval1.0ms (0%)

prune4.0ms (0%)

simplify86.0ms (0.8%)

localize204.0ms (2%)

series110.0ms (1.1%)

rewrite295.0ms (2.9%)

simplify304.0ms (3%)

eval162.0ms (1.6%)

prune105.0ms (1%)

simplify24.0ms (0.2%)

localize161.0ms (1.6%)

series27.0ms (0.3%)

rewrite46.0ms (0.5%)

simplify210.0ms (2%)

eval129.0ms (1.3%)

prune83.0ms (0.8%)

simplify104.0ms (1%)

localize759.0ms (7.4%)

series32.0ms (0.3%)

rewrite272.0ms (2.7%)

simplify373.0ms (3.6%)

eval227.0ms (2.2%)

prune147.0ms (1.4%)

simplify87.0ms (0.9%)

localize344.0ms (3.4%)

series90.0ms (0.9%)

rewrite356.0ms (3.5%)

simplify395.0ms (3.9%)

eval175.0ms (1.7%)

prune127.0ms (1.2%)

regimes33.0ms (0.3%)

regimes159.0ms (1.6%)

regimes6.0ms (0.1%)

regimes25.0ms (0.2%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch79.0ms (0.8%)

bsearch41.0ms (0.4%)

bsearch104.0ms (1%)

bsearch27.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch39.0ms (0.4%)

bsearch89.0ms (0.9%)

simplify220.0ms (2.1%)

soundness2.3s (22.7%)

preprocess229.0ms (2.2%)

end0.0ms (0%)

Profiling