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 (15.3%)

Results

757.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 540.0ms

ival-mult: 400.0ms (74% of total)

ival-sub: 91.0ms (16.8% of total)

ival-add: 41.0ms (7.6% of total)

const: 7.0ms (1.3% of total)

backward-pass: 2.0ms (0.4% of total)

Bogosity

preprocess135.0ms (1.9%)

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)

explain112.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
25	-	-	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
17	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
6	-	-	`(.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

59.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

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

ival-mult: 21.0ms (72.3% of total)

ival-sub: 5.0ms (17.2% of total)

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

const: 1.0ms (3.4% of total)

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

eval1.0ms (0%)

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

prune7.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.4%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
▶	84.4%	(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)))))
▶	84.4%	(-.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))
▶	80.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶	80.5%	(+.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)

simplify81.0ms (1.1%)

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)

localize138.0ms (1.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal -2 binary64))
✓	accuracy	94.0%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	90.6%	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	accuracy	89.9%	(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	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	90.6%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	84.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	90.6%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	accuracy	84.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.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	97.6%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	94.0%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	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	94.0%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	89.9%	(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

88.0ms

256×

valid

Compiler

Compiled 236 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 28.0ms (58.4% of total)

ival-fma: 6.0ms (12.5% of total)

ival-sub: 4.0ms (8.3% of total)

ival-pow: 4.0ms (8.3% of total)

ival-add: 3.0ms (6.3% of total)

const: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

series53.0ms (0.7%)

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
4.0ms	x.im	@	-inf	(* x.im -2)
3.0ms	x.re	@	0	(* x.re (* x.im (* x.im -3)))
2.0ms	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)))

rewrite400.0ms (5.6%)

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)))))
(.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))))
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(.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))))
(/.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)))

simplify169.0ms (2.3%)

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)

eval88.0ms (1.2%)

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

prune332.0ms (4.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	720	10	730
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	723	12	735

Accuracy

100.0%

Counts

735 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.0%	(fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	84.4%	(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)))
	84.3%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.im x.re))) (sqrt.f64 (*.f64 x.im x.re)))))
	62.8%	(pow.f64 x.re #s(literal 3 binary64))
	84.4%	(-.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))
▶	87.9%	(-.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))
▶	48.9%	(-.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))
	82.6%	(+.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)))
✓	80.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	80.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶	48.9%	(.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 356 to 216 computations (39.3% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	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)))
✓	cost-diff	0	(pow.f64 x.im #s(literal 2 binary64))
✓	cost-diff	64	(*.f64 #s(literal -1 binary64) x.re)
✓	cost-diff	256	(-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))
✓	cost-diff	256	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓	cost-diff	0	(+.f64 x.re #s(literal -27 binary64))
✓	cost-diff	0	(+.f64 x.im x.re)
✓	cost-diff	0	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
✓	cost-diff	0	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
	cost-diff	0	(*.f64 x.re 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	0	(*.f64 x.im x.re)
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(+.f64 x.im x.re)
✓	cost-diff	0	(-.f64 x.re x.im)

Rules

12×	`*-commutative`
6×	`sub-neg`
5×	`fma-neg`
5×	`cancel-sign-sub-inv`
3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	846
1	133	846

Stop Event

1×

unsound

Calls

Call 1

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

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

localize151.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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))
✓	accuracy	100.0%	(-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))
✓	accuracy	100.0%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x.re)
✓	accuracy	100.0%	(*.f64 #s(literal -1 binary64) x.re)
✓	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%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)

Results

106.0ms

256×

invalid

Compiler

Compiled 242 to 38 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 42.0ms (63.2% of total)

ival-sub: 7.0ms (10.5% of total)

ival-pow: 7.0ms (10.5% of total)

ival-add: 4.0ms (6% of total)

ival-fma: 3.0ms (4.5% of total)

ival-div: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

series31.0ms (0.4%)

Counts

17 → 195

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	inf	(* (* (+ x.im x.re) (+ x.re -27)) x.re)
3.0ms	x.re	@	-inf	(* (+ x.im x.re) (+ x.re -27))
1.0ms	x.re	@	0	(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
1.0ms	x.im	@	0	(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
1.0ms	x.re	@	0	(* (* (- x.re x.im) (+ x.im x.re)) x.re)

rewrite40.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	271
1	606	271

Stop Event

1×

unsound

Counts

17 → 140

Calls

Call 1

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

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

simplify169.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

697×	`prod-exp`
418×	`associate-r`
387×	`associate-l`
288×	`fma-define`
236×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	442	9009
1	1280	8411
2	5059	8220

Stop Event

1×	node limit

Counts

335 → 316

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) x.im)
x.re
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x.im)
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
x.re
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
x.im
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
x.im
x.re
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 x.im #s(literal 27 binary64)))))
(.f64 x.re (+.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))
(.f64 x.re (+.f64 (.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(pow.f64 x.re #s(literal 3 binary64))
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(cbrt.f64 (.f64 (.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))) (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))))) (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))))))
(exp.f64 (log.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))))))
(+.f64 (.f64 (+.f64 x.re x.im) x.re) (.f64 (+.f64 x.re x.im) #s(literal -27 binary64)))
(+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 #s(literal -27 binary64) (+.f64 x.re x.im)))
(pow.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))) #s(literal -1 binary64))
(log.f64 (exp.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))))
(cbrt.f64 (.f64 (.f64 (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 x.re x.im) (+.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.re x.im) (+.f64 x.re #s(literal -27 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))))
(exp.f64 (log.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))))
(*.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 (.f64 x.re x.re) (-.f64 #s(literal 729 binary64) (.f64 x.re #s(literal -27 binary64)))))
(/.f64 (-.f64 (*.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))
(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))))
(pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal -1 binary64))
(log.f64 (exp.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(cbrt.f64 (.f64 (.f64 (.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 x.re #s(literal -3 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (log.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(+.f64 x.re (neg.f64 (*.f64 x.re #s(literal 2 binary64))))
(+.f64 x.re (*.f64 #s(literal -2 binary64) x.re))
(+.f64 (.f64 x.re #s(literal -3 binary64)) (fma.f64 x.re #s(literal 2 binary64) (.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re #s(literal -3 binary64))
(.f64 #s(literal -1 binary64) (.f64 x.re #s(literal -3 binary64)))
(.f64 (.f64 (cbrt.f64 (.f64 x.re #s(literal -3 binary64))) (cbrt.f64 (.f64 x.re #s(literal -3 binary64)))) (cbrt.f64 (*.f64 x.re #s(literal -3 binary64))))
(.f64 (sqrt.f64 (.f64 x.re #s(literal -3 binary64))) (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.re #s(literal 2 binary64)) (.f64 x.re #s(literal 2 binary64))) (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.re #s(literal 2 binary64)) (.f64 x.re #s(literal 2 binary64)))) (+.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (*.f64 x.re #s(literal -3 binary64))))
(cbrt.f64 (.f64 (.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.re #s(literal -3 binary64))) (*.f64 x.re #s(literal -3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.re #s(literal -3 binary64))))
(exp.f64 (log.f64 (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 #s(literal -1 binary64) x.re (neg.f64 (*.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal -1 binary64))
(neg.f64 x.re)
(log.f64 (exp.f64 x.re))
(cbrt.f64 (pow.f64 x.re #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x.re))
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(*.f64 x.im x.im)
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(cbrt.f64 (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)))
(exp.f64 (log.f64 (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (fma.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(pow.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1 binary64))
(log.f64 (exp.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(pow.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im))) #s(literal -1 binary64))
(log.f64 (exp.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(cbrt.f64 (.f64 (.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(log1p.f64 (expm1.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(exp.f64 (log.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(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
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
x.re
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.im) x.re)))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.im) x.re)))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x.im x.re))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.im) x.re)))
(*.f64 x.re (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (+.f64 (/.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (neg.f64 x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (+.f64 (/.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (neg.f64 x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (+.f64 (/.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (neg.f64 x.re))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(-.f64 x.re x.im)
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(-.f64 x.re x.im)
(+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))
(-.f64 x.re x.im)
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 x.im (+.f64 (/.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 x.im (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(*.f64 #s(literal -1 binary64) x.im)
(neg.f64 x.im)
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 x.im) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.re) x.im)))
(*.f64 (neg.f64 x.im) (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 x.im) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.re) x.im)))
(*.f64 (neg.f64 x.im) (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(*.f64 (neg.f64 x.im) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x.re) x.im)))
(*.f64 (neg.f64 x.im) (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
x.re
x.im
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
(*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))
x.im
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 x.im (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64))))
(*.f64 (neg.f64 x.im) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 x.im (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64))))
(*.f64 (neg.f64 x.im) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
(.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 x.im (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) #s(literal -1 binary64))))
(*.f64 (neg.f64 x.im) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
x.im
x.re
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
x.re
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)) (neg.f64 x.re))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (neg.f64 x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)) (neg.f64 x.re))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (neg.f64 x.re))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x.re) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) #s(literal -1 binary64)) (neg.f64 x.re))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (neg.f64 x.re))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(.f64 x.re (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
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(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 (.f64 x.re (+.f64 x.re x.im)) (.f64 #s(literal -27 binary64) (+.f64 x.re x.im)))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(pow.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))))
(log.f64 (exp.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(cbrt.f64 (.f64 (.f64 (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))) (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(expm1.f64 (log1p.f64 (*.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)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(exp.f64 (log.f64 (*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 x.re #s(literal -27 binary64)))
(neg.f64 (+.f64 x.re #s(literal -27 binary64)))
(fma.f64 #s(literal -1 binary64) x.re #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 (.f64 x.re x.re) (-.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)) (fma.f64 x.re x.re (-.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 (*.f64 x.re x.re) #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))
(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))
(pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal -1/3 binary64) x.re) (pow.f64 x.im #s(literal 2 binary64)))
(log.f64 (exp.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(cbrt.f64 (.f64 (.f64 (.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 x.re #s(literal -3 binary64)))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(expm1.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(exp.f64 (log.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
(+.f64 x.re (neg.f64 (*.f64 x.re #s(literal 2 binary64))))
(neg.f64 x.re)
(+.f64 x.re (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(+.f64 (.f64 x.re #s(literal -3 binary64)) (fma.f64 x.re #s(literal 2 binary64) (.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re #s(literal -3 binary64) (fma.f64 x.re #s(literal 2 binary64) (*.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re #s(literal -3 binary64) (*.f64 x.re #s(literal 4 binary64)))
(*.f64 x.re #s(literal -3 binary64))
(.f64 #s(literal -1 binary64) (.f64 x.re #s(literal -3 binary64)))
(*.f64 (neg.f64 x.re) #s(literal -3 binary64))
(*.f64 x.re #s(literal 3 binary64))
(.f64 (.f64 (cbrt.f64 (.f64 x.re #s(literal -3 binary64))) (cbrt.f64 (.f64 x.re #s(literal -3 binary64)))) (cbrt.f64 (*.f64 x.re #s(literal -3 binary64))))
(*.f64 x.re #s(literal -3 binary64))
(.f64 (sqrt.f64 (.f64 x.re #s(literal -3 binary64))) (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))))
(*.f64 x.re #s(literal -3 binary64))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 x.re x.re) (+.f64 (.f64 (.f64 x.re #s(literal 2 binary64)) (.f64 x.re #s(literal 2 binary64))) (.f64 x.re (*.f64 x.re #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 x.re x.re (.f64 (.f64 x.re #s(literal 2 binary64)) (+.f64 x.re (.f64 x.re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 x.re x.re (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 6 binary64))))
(/.f64 (-.f64 (.f64 x.re x.re) (.f64 (.f64 x.re #s(literal 2 binary64)) (.f64 x.re #s(literal 2 binary64)))) (+.f64 x.re (*.f64 x.re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 x.re (.f64 x.re #s(literal 2 binary64))))
(.f64 (.f64 x.re #s(literal 3 binary64)) (/.f64 (neg.f64 x.re) (*.f64 x.re #s(literal 3 binary64))))
(/.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) (.f64 x.re #s(literal 3 binary64)))
(pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x.re #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) x.re)
(log.f64 (exp.f64 (*.f64 x.re #s(literal -3 binary64))))
(*.f64 x.re #s(literal -3 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.re #s(literal -3 binary64))) (*.f64 x.re #s(literal -3 binary64))))
(*.f64 x.re #s(literal -3 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.re #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.re #s(literal -3 binary64))))
(*.f64 x.re #s(literal -3 binary64))
(exp.f64 (log.f64 (*.f64 x.re #s(literal -3 binary64))))
(*.f64 x.re #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) x.re (neg.f64 (*.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re #s(literal -3 binary64))
(pow.f64 x.re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x.re)
(neg.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(cbrt.f64 (pow.f64 x.re #s(literal 3 binary64)))
x.re
(expm1.f64 (log1p.f64 x.re))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(.f64 (.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 2 binary64))
(cbrt.f64 (.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)))
(pow.f64 x.im #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 2 binary64))
(+.f64 (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 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 -1 binary64) (fma.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(neg.f64 (fma.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(neg.f64 (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 (cbrt.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (cbrt.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 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 (sqrt.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 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 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.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 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
(log.f64 (exp.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.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)))
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 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)))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(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)))))
(expm1.f64 (log1p.f64 (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)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.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)))
(exp.f64 (log.f64 (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.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 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 x.re (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 (cbrt.f64 (+.f64 x.im x.re)) #s(literal 6 binary64))))
(log.f64 (exp.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(.f64 x.re (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))
(*.f64 x.re (pow.f64 (cbrt.f64 (+.f64 x.im x.re)) #s(literal 6 binary64)))
(cbrt.f64 (.f64 (.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))) (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(.f64 x.re (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))
(*.f64 x.re (pow.f64 (cbrt.f64 (+.f64 x.im x.re)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(expm1.f64 (log1p.f64 (.f64 x.re (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 (cbrt.f64 (+.f64 x.im x.re)) #s(literal 6 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(.f64 x.re (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))
(*.f64 x.re (pow.f64 (cbrt.f64 (+.f64 x.im x.re)) #s(literal 6 binary64)))
(exp.f64 (log.f64 (.f64 x.re (.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)))))
(.f64 x.re (.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)))
(*.f64 x.re (pow.f64 (cbrt.f64 (+.f64 x.im x.re)) #s(literal 6 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))))
(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))

eval112.0ms (1.6%)

Compiler: Compiled 7958 to 1546 computations (80.6% saved)

prune98.0ms (1.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	402	7	409
Fresh	1	4	5
Picked	4	1	5
Done	1	1	2
Total	408	13	421

Accuracy

100.0%

Counts

421 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.4%	(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)))
	84.3%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.im x.re))) (sqrt.f64 (*.f64 x.im x.re)))))
▶	62.8%	(pow.f64 x.re #s(literal 3 binary64))
	82.7%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	84.4%	(-.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))
	74.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 #s(literal 0 binary64) x.im))
✓	87.9%	(-.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))
▶	86.7%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	29.8%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	80.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶	82.6%	(+.f64 (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
▶	48.9%	(.f64 (.f64 x.im x.im) (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re)))
	49.0%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))

Compiler

Compiled 412 to 244 computations (40.8% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 x.im #s(literal -27 binary64)) x.re)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	384	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	64	(*.f64 #s(literal -1 binary64) x.re)
	cost-diff	256	(-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))
✓	cost-diff	256	(.f64 (.f64 x.im x.im) (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re)))
	cost-diff	128	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	cost-diff	256	(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
✓	cost-diff	256	(.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))
✓	cost-diff	256	(.f64 (.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re)

Rules

618×	`unsub-neg`
545×	`fma-neg`
483×	`distribute-lft-in`
444×	`distribute-rgt-in`
398×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	759
1	103	702
2	250	685
3	774	624
4	2755	620
5	7084	620

Stop Event

1×	node limit

Calls

Call 1

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

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

localize210.0ms (2.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
✓	accuracy	84.8%	(+.f64 (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.7%	(.f64 (.f64 x.im #s(literal -27 binary64)) x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x.re)
	accuracy	100.0%	(*.f64 #s(literal -1 binary64) x.re)
✓	accuracy	90.5%	(.f64 (.f64 x.im x.im) (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re)))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	97.6%	(.f64 (.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re)
✓	accuracy	95.3%	(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
✓	accuracy	92.1%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

172.0ms

256×

valid

Compiler

Compiled 208 to 32 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 22.0ms (57% of total)

ival-sub: 5.0ms (13% of total)

ival-add: 4.0ms (10.4% of total)

ival-pow: 4.0ms (10.4% of total)

ival-div: 2.0ms (5.2% of total)

const: 1.0ms (2.6% of total)

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

series23.0ms (0.3%)

Counts

9 → 213

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x.im	@	0	(- (* (* x.im -27) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	inf	(* (* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re)))) x.re)
1.0ms	x.im	@	0	(* (* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re)))) x.re)
1.0ms	x.re	@	-inf	(* (* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re)))) x.re)
1.0ms	x.im	@	-inf	(* (* (- x.re x.im) (* x.re (+ 1 (/ x.im x.re)))) x.re)

rewrite114.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

282×	`log1p-expm1-u`
282×	`expm1-log1p-u`
279×	`add-cube-cbrt`
275×	`add-exp-log`
275×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	396
1	652	318

Stop Event

1×	node limit

Counts

9 → 240

Calls

Call 1

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

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

simplify273.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-neg`
359×	`associate-r`
314×	`associate-l`
278×	`fma-define`
232×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	658	18805
1	1656	15522
2	5727	13552

Stop Event

1×	node limit

Counts

453 → 378

Calls

Call 1

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

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

eval72.0ms (1%)

Compiler: Compiled 10023 to 1616 computations (83.9% saved)

prune353.0ms (4.9%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	527	11	538
Fresh	0	6	6
Picked	3	2	5
Done	0	2	2
Total	530	21	551

Accuracy

100.0%

Counts

551 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.4%	(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)))
	84.3%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.im x.re))) (sqrt.f64 (*.f64 x.im x.re)))))
✓	62.8%	(pow.f64 x.re #s(literal 3 binary64))
▶	87.8%	(-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.re)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	82.7%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	84.4%	(-.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))
▶	74.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 #s(literal 0 binary64) x.im))
✓	87.9%	(-.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))
	86.7%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) x.im))
✓	80.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	80.8%	(+.f64 (.f64 (-.f64 x.re x.im) (.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.re)) #s(literal 0 binary64))
✓	82.6%	(+.f64 (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
	18.5%	(.f64 (.f64 x.im x.im) (-.f64 (/.f64 #s(literal 1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
	25.2%	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal 3 binary64)))
▶	48.9%	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
	33.2%	(.f64 (.f64 x.im x.im) (neg.f64 x.re))
	20.0%	(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
	29.8%	(.f64 x.im (.f64 x.re (+.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64))))
	20.0%	(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
▶	49.0%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
▶	20.0%	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))

Compiler

Compiled 560 to 343 computations (38.8% saved)

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(pow.f64 x.im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
✓	cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
	cost-diff	-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 #s(literal 0 binary64) x.im)
	cost-diff	-6336	(*.f64 x.im x.im)
✓	cost-diff	-6336	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
✓	cost-diff	0	(*.f64 x.re #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
	cost-diff	0	(-.f64 x.re x.im)
	cost-diff	128	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	cost-diff	256	(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
✓	cost-diff	256	(.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.re)

Rules

521×	`unsub-neg`
470×	`fma-neg`
416×	`distribute-lft-in`
368×	`distribute-rgt-in`
366×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	744
1	97	720
2	215	706
3	700	573
4	2426	555
5	5895	555

Stop Event

1×	node limit

Calls

Call 1

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

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

localize122.0ms (1.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x.im #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
✓	accuracy	90.6%	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(*.f64 #s(literal 0 binary64) x.im)
	accuracy	97.6%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	94.0%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.re #s(literal -3 binary64))
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	90.5%	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.5%	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
✓	accuracy	99.8%	(.f64 (-.f64 x.re x.im) (.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.re))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
	accuracy	95.3%	(*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))
✓	accuracy	92.1%	(-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.re)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

86.0ms

256×

valid

Compiler

Compiled 195 to 32 computations (83.6% saved)

Precisions

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

ival-mult: 24.0ms (55% of total)

ival-pow: 8.0ms (18.3% of total)

ival-sub: 5.0ms (11.5% of total)

ival-add: 3.0ms (6.9% of total)

ival-div: 2.0ms (4.6% of total)

const: 1.0ms (2.3% of total)

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

series93.0ms (1.3%)

Counts

10 → 120

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
79.0ms	x.im	@	-inf	(* (* x.re (+ 1 (/ x.im x.re))) x.re)
0.0ms	x.im	@	inf	(* (* x.re (+ 1 (/ x.im x.re))) x.re)
0.0ms	x.re	@	-inf	(- (pow (* (- x.re x.im) (* (* x.re (+ 1 (/ x.im x.re))) x.re)) 1) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.0ms	x.re	@	inf	(- (pow (* (- x.re x.im) (* (* x.re (+ 1 (/ x.im x.re))) x.re)) 1) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
0.0ms	x.re	@	0	(- (pow (* (- x.re x.im) (* (* x.re (+ 1 (/ x.im x.re))) x.re)) 1) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite196.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1023×	`log1p-expm1-u`
237×	`associate-r`
203×	`expm1-log1p-u`
194×	`add-cube-cbrt`
192×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	300
1	520	258
2	6583	258

Stop Event

1×	node limit

Counts

10 → 160

Calls

Call 1

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

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

simplify160.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

80×	`*-commutative`
41×	`+-commutative`
22×	`sub-neg`
20×	`cube-mult`
20×	`unpow3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	406	10905
1	1001	10905

Stop Event

1×

unsound

Counts

280 → 231

Calls

Call 1

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

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

eval78.0ms (1.1%)

Compiler: Compiled 10464 to 1833 computations (82.5% saved)

prune122.0ms (1.7%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	486	4	490
Fresh	2	10	12
Picked	3	2	5
Done	0	4	4
Total	491	20	511

Accuracy

100.0%

Counts

511 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.4%	(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)))
	84.3%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.im (.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 x.im x.re))) (sqrt.f64 (*.f64 x.im x.re)))))
✓	62.8%	(pow.f64 x.re #s(literal 3 binary64))
	58.0%	(-.f64 (pow.f64 (.f64 (-.f64 x.re x.im) (.f64 x.im x.re)) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	84.4%	(-.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))
	74.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
✓	87.9%	(-.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))
	80.9%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 0 binary64) x.im))
	86.7%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (.f64 #s(literal 2 binary64) (.f64 x.im x.re)) x.im))
✓	80.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	80.8%	(+.f64 (.f64 (-.f64 x.re x.im) (.f64 (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.re)) #s(literal 0 binary64))
✓	82.6%	(+.f64 (.f64 (.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
	25.2%	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal 3 binary64)))
✓	48.9%	(.f64 (.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
	33.2%	(.f64 (.f64 x.im x.im) (neg.f64 x.re))
	20.0%	(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
	29.8%	(.f64 x.im (.f64 x.re (+.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal -27 binary64))))
	20.0%	(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
	49.0%	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
✓	20.0%	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))

Compiler

Compiled 765 to 288 computations (62.4% saved)

regimes102.0ms (1.4%)

Counts

37 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

75.0ms	(-.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))
14.0ms	x.im
10.0ms	x.re

Results

Accuracy	Segments	Branch
99.9%	2	`x.re`
94.2%	2	`x.im`
98.6%	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)

regimes13.0ms (0.2%)

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

x.re

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes55.0ms (0.8%)

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

47.0ms	x.re
7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
97.6%	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))`
97.6%	2	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes19.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

Calls

2 calls:

12.0ms	x.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
85.4%	3	`x.im`
89.2%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

Outputs
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 0 binary64) x.im))

Calls

1 calls:

5.0ms

x.re

Results

Accuracy	Segments	Branch
89.2%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
81.6%	2	`x.im`
82.5%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
49.0%	1	`x.im`
56.6%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

x.re

Results

Accuracy	Segments	Branch
49.0%	1	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
33.2%	1	`x.im`
33.2%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
20.0%	1	`x.re`
20.0%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
20.0%	1	`x.im`
20.0%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.558790201610801e+102	4.024830485248635e+102

Results

1.0ms

16×

valid

Compiler

Compiled 74 to 43 computations (41.9% saved)

Precisions

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

ival-mult: 1.0ms (107.6% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
6.0ms	1.558790201610801e+102	4.024830485248635e+102

Results

4.0ms

48×

valid

Compiler

Compiled 116 to 75 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (74.1% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	1.558790201610801e+102	4.024830485248635e+102

Results

1.0ms

16×

valid

Compiler

Compiled 62 to 37 computations (40.3% saved)

Precisions

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

ival-mult: 1.0ms (117.1% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch60.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.3076095896571816e-115	4.408179378771325e-110

Results

12.0ms

144×

valid

Compiler

Compiled 278 to 186 computations (33.1% saved)

Precisions

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

ival-mult: 6.0ms (73.9% of total)

ival-sub: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.0227038037181142e-92	4.5672868223712227e-85

Results

12.0ms

144×

valid

Compiler

Compiled 260 to 168 computations (35.4% saved)

Precisions

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

ival-mult: 6.0ms (74.2% of total)

ival-sub: 1.0ms (12.4% of total)

ival-add: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

bsearch50.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	1.0227038037181142e-92	4.5672868223712227e-85

Results

12.0ms

144×

valid

Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions

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

ival-mult: 6.0ms (74.4% of total)

ival-sub: 1.0ms (12.4% of total)

ival-add: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.194583949983461e+209	2.3770264913455473e+216

Results

13.0ms

144×

valid

Compiler

Compiled 206 to 141 computations (31.6% saved)

Precisions

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

ival-mult: 6.0ms (65.8% of total)

ival-sub: 2.0ms (21.9% of total)

ival-add: 1.0ms (11% of total)

const: 0.0ms (0% of total)

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

214×	`distribute-lft-neg-in`
118×	`neg-mul-1`
103×	`neg-sub0`
88×	`distribute-rgt-neg-in`
74×	`cancel-sign-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	82	864
1	148	856
2	201	856
3	230	856
4	251	856
5	266	856
6	308	856
7	433	856
8	585	856
9	745	856
10	944	856
11	1097	856
12	1203	856
13	1280	856
14	1291	856

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.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 #s(literal 0 binary64) x.im)))
(if (<=.f64 x.re #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (+.f64 (.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 #s(literal 0 binary64) x.im)))
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 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.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 0 binary64) x.im)))
(if (<=.f64 x.re #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (+.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.re)) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 1612616214368019/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 #s(literal 0 binary64) x.im)))
(if (<=.f64 x.re #s(literal 2687693690613365/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 45000000000000001538057501079545401742017282517777359392900946316403045658290751461069689248341467151771961414115775891402059379962106962797283495705613156240746812451094664841337152755692855619841358359131324416 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal 3 binary64))))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(.f64 (.f64 x.im x.im) (neg.f64 x.re))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))

Outputs
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.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 #s(literal 0 binary64) x.im)))
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (-.f64 (+.f64 (.f64 x.im (+.f64 (neg.f64 (.f64 x.re x.im)) (.f64 x.re (+.f64 x.re (neg.f64 x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.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 x.im))) (*.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (-.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re (-.f64 x.re x.re)) (.f64 x.re x.im))) (pow.f64 x.re #s(literal 3 binary64))) (.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 x.im))) (*.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (-.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re (-.f64 x.re x.re)) (.f64 x.re x.im))) (pow.f64 x.re #s(literal 3 binary64))) (.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 x.im))) (*.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (-.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re (-.f64 x.re x.re))))) (.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 x.im))) (*.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (+.f64 (.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 #s(literal 0 binary64) x.im)))
(if (<=.f64 x.re #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)))) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 3999999999999999908198053060981346513787370879696600024519983898927973808723159645213045177926046187520 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)))) (+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 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.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 0 binary64) x.im)))
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 1999999999999999954099026530490673256893685439848300012259991949463986904361579822606522588963023093760 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) (+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (+.f64 (.f64 (-.f64 x.re x.im) (.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))) x.re)) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (.f64 (-.f64 x.re x.im) (.f64 x.re (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re))))))
(if (<=.f64 x.re #s(literal 465383402028335/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (.f64 (-.f64 x.re x.im) (.f64 x.re (.f64 x.re (+.f64 (/.f64 x.im x.re) #s(literal 1 binary64))))))
(if (<=.f64 x.re #s(literal 1612616214368019/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 #s(literal 0 binary64) x.im)))
(if (<=.f64 x.re #s(literal 1612616214368019/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 1612616214368019/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (+.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.im #s(literal 0 binary64))))
(if (<=.f64 x.re #s(literal 2687693690613365/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 2687693690613365/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(if (<=.f64 x.re #s(literal 45000000000000001538057501079545401742017282517777359392900946316403045658290751461069689248341467151771961414115775891402059379962106962797283495705613156240746812451094664841337152755692855619841358359131324416 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 45000000000000001538057501079545401742017282517777359392900946316403045658290751461069689248341467151771961414115775891402059379962106962797283495705613156240746812451094664841337152755692855619841358359131324416 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (.f64 (.f64 x.im x.im) (.f64 x.re #s(literal 3 binary64))))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(.f64 #s(literal -3 binary64) (.f64 x.re (*.f64 x.im x.im)))
(.f64 (.f64 x.im x.im) (neg.f64 x.re))
(.f64 x.re (neg.f64 (.f64 x.im x.im)))
(.f64 x.re (.f64 x.im (neg.f64 x.im)))
(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
(.f64 (.f64 x.re x.im) #s(literal -27 binary64))

soundness1.4s (20%)

Rules

1032×	`unsub-neg`
763×	`fma-neg`
697×	`prod-exp`
568×	`fma-define`
420×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	604
1	658	488
0	658	18805
1	1656	15522
2	5727	13552
0	36	396
1	652	318
0	911	6149
1	3147	6149
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301
0	442	9009
1	1280	8411
2	5059	8220
0	35	271
1	606	271

Stop Event

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

Compiler

Compiled 1245 to 353 computations (71.6% saved)

preprocess85.0ms (1.2%)

Remove: (abs x.im)
Compiler: Compiled 1566 to 732 computations (53.3% saved)

analyze0.0ms (0%)

sample1.1s (15.3%)

preprocess135.0ms (1.9%)

explain112.0ms (1.6%)

eval1.0ms (0%)

prune7.0ms (0.1%)

simplify81.0ms (1.1%)

localize138.0ms (1.9%)

series53.0ms (0.7%)

rewrite400.0ms (5.6%)

simplify169.0ms (2.3%)

eval88.0ms (1.2%)

prune332.0ms (4.6%)

simplify11.0ms (0.2%)

localize151.0ms (2.1%)

series31.0ms (0.4%)

rewrite40.0ms (0.6%)

simplify169.0ms (2.3%)

eval112.0ms (1.6%)

prune98.0ms (1.4%)

simplify75.0ms (1%)

localize210.0ms (2.9%)

series23.0ms (0.3%)

rewrite114.0ms (1.6%)

simplify273.0ms (3.8%)

eval72.0ms (1%)

prune353.0ms (4.9%)

simplify97.0ms (1.3%)

localize122.0ms (1.7%)

series93.0ms (1.3%)

rewrite196.0ms (2.7%)

simplify160.0ms (2.2%)

eval78.0ms (1.1%)

prune122.0ms (1.7%)

regimes102.0ms (1.4%)

regimes13.0ms (0.2%)

regimes55.0ms (0.8%)

regimes19.0ms (0.3%)

regimes6.0ms (0.1%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

bsearch3.0ms (0%)

bsearch6.0ms (0.1%)

bsearch2.0ms (0%)

bsearch60.0ms (0.8%)

bsearch20.0ms (0.3%)

bsearch50.0ms (0.7%)

bsearch20.0ms (0.3%)

simplify62.0ms (0.9%)

soundness1.4s (20%)

preprocess85.0ms (1.2%)

end0.0ms (0%)

Profiling