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)

sample1.4s (21%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 709.0ms

ival-mult: 569.0ms (80.3% of total)

ival-sub: 84.0ms (11.9% of total)

ival-add: 45.0ms (6.4% of total)

const: 8.0ms (1.1% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess137.0ms (2.1%)

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)

explain265.0ms (4.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(-.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))`
13	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
0	-	-	`x.im`
0	-	-	`x.re`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.im)`

Results

213.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-add: 101.0ms (54% of total)

ival-mult: 81.0ms (43.3% of total)

ival-sub: 5.0ms (2.7% of total)

const: 1.0ms (0.5% of total)

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

eval1.0ms (0%)

Compiler: Compiled 75 to 33 computations (56% saved)

prune6.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.1%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
▶	84.2%	(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)))))
▶	84.1%	(-.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))
▶	81.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Compiler

Compiled 71 to 41 computations (42.3% saved)

localize365.0ms (5.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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))))
✓	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)
✓	accuracy	89.3%	(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)))))
✓	accuracy	88.0%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	accuracy	88.0%	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	accuracy	87.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Rules

735×	`fma-neg`
732×	`unsub-neg`
629×	`fma-define`
497×	`sub-neg`
262×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	719
1	88	679
2	205	679
3	507	676
4	1209	676
5	3388	676
6	6113	676

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

169.0ms

256×

valid

Compiler

Compiled 203 to 62 computations (69.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 99.0ms (75.2% of total)

ival-pow: 9.0ms (6.8% of total)

ival-add: 8.0ms (6.1% of total)

ival-fma: 5.0ms (3.8% of total)

ival-neg: 4.0ms (3% of total)

ival-sub: 2.0ms (1.5% of total)

const: 2.0ms (1.5% of total)

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

series27.0ms (0.4%)

Counts

8 → 192

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite311.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`log1p-expm1-u`
282×	`associate-r`
210×	`expm1-log1p-u`
204×	`add-exp-log`
202×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	266
1	500	174
2	6711	174

Stop Event

1×	node limit

Counts

8 → 378

Calls

Call 1

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

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

simplify109.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

120×	`*-commutative`
42×	`associate-r`
39×	`associate-l`
27×	`+-commutative`
22×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	11952
1	1434	11952

Stop Event

1×

unsound

Counts

570 → 303

Calls

Call 1

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

Outputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -8 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -8 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -8 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -3 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
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(.f64 (cbrt.f64 (.f64 x.im x.re)) (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (.f64 x.im x.re)) (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (.f64 x.im x.re)) #s(literal 2 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 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 #s(literal -8 binary64) (cbrt.f64 x.re)))
(.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 x.re x.im)) (+.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im))))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 (.f64 x.im x.re))))
(.f64 (sqrt.f64 (.f64 x.re x.im)) (.f64 (sqrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 (.f64 x.im x.re))))
(.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (*.f64 x.im #s(literal -2 binary64))))
(.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) #s(literal -8 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -8 binary64)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
#s(literal -8 binary64)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -3 binary64)
(.f64 (.f64 x.re (neg.f64 x.im)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 x.re #s(literal 2 binary64)) x.im)
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 x.re #s(literal 2 binary64)) (neg.f64 x.im))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 x.im x.re) #s(literal 2 binary64)))
(.f64 #s(literal 4 binary64) (.f64 (.f64 x.re (neg.f64 x.im)) (.f64 x.re (neg.f64 x.im))))
(.f64 #s(literal 4 binary64) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal -8 binary64)))
(.f64 (cbrt.f64 #s(literal -2 binary64)) (cbrt.f64 (.f64 x.re x.im)))
(.f64 #s(literal -8 binary64) (cbrt.f64 (.f64 x.im x.re)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re x.im)))
(.f64 (cbrt.f64 (.f64 x.im x.re)) (cbrt.f64 #s(literal 2 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re (neg.f64 x.im))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x.re)))
(*.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal -8 binary64) (cbrt.f64 #s(literal -3 binary64)))
(.f64 (cbrt.f64 (.f64 x.re #s(literal 2 binary64))) (cbrt.f64 x.im))
(.f64 (cbrt.f64 x.im) (cbrt.f64 (.f64 #s(literal 2 binary64) x.re)))
(.f64 (.f64 (.f64 x.re #s(literal 2 binary64)) (.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 4 binary64)))
(.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (.f64 x.re x.im)))
(.f64 #s(literal -8 binary64) (sqrt.f64 (.f64 x.im x.re)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x.re x.im)))
(.f64 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x.re (neg.f64 x.im))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (neg.f64 x.re)))
(.f64 (sqrt.f64 (.f64 x.re #s(literal 2 binary64))) (sqrt.f64 x.im))
(.f64 (sqrt.f64 x.im) (sqrt.f64 (.f64 #s(literal 2 binary64) x.re)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal -8 binary64) (sqrt.f64 #s(literal -3 binary64)))
(.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 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) #s(literal -8 binary64)))
(.f64 (neg.f64 (.f64 x.re #s(literal 2 binary64))) x.im)
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re x.im)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re x.im)))
(.f64 (cbrt.f64 (.f64 x.im x.re)) (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x.re x.im))) (sqrt.f64 (.f64 x.re x.im)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 (.f64 x.im x.re))))
(.f64 (.f64 (*.f64 x.re #s(literal 2 binary64)) #s(literal 1 binary64)) x.im)
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 (*.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(.f64 (cbrt.f64 x.im) (.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))))
(.f64 (.f64 (*.f64 x.re #s(literal 2 binary64)) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(.f64 (.f64 #s(literal 2 binary64) x.re) (*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im)))
(.f64 (.f64 #s(literal -2 binary64) x.re) x.im)
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re x.im)))
(.f64 #s(literal -8 binary64) (.f64 (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.re x.im))) (sqrt.f64 (.f64 x.re x.im)))
(.f64 #s(literal -8 binary64) (.f64 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 (.f64 x.im x.re))))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 x.re #s(literal 2 binary64))) x.im)
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 x.re #s(literal -2 binary64)) x.im)
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 x.re (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.im #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 x.re (sqrt.f64 (.f64 x.im #s(literal -2 binary64)))) (sqrt.f64 (.f64 x.im #s(literal -2 binary64))))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -2 binary64)) (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 x.re (neg.f64 x.im)))
(*.f64 #s(literal 2 binary64) x.re)
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.re #s(literal 2 binary64))) x.im)
(*.f64 #s(literal 2 binary64) x.re)
(/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -8 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))))))
#s(literal -8 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -8 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
#s(literal -8 binary64)
(/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
#s(literal -8 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal -8 binary64)
(/.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -8 binary64) (cbrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -8 binary64)
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -8 binary64) (sqrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
#s(literal -8 binary64)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 0 binary64)) (.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
#s(literal -8 binary64)
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -8 binary64)
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (/.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
#s(literal -8 binary64)
(/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
#s(literal -8 binary64)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 (.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
#s(literal -8 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal -8 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(literal -8 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal -8 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
#s(literal -8 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal -8 binary64)
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -8 binary64)
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -8 binary64)
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -8 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -8 binary64)
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -8 binary64)
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -8 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -3 binary64)
(hypot.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im)))
(hypot.f64 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 (.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -8 binary64)
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -8 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
#s(literal -8 binary64)
(exp.f64 (+.f64 (log.f64 x.re) (log.f64 (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 (exp.f64 (log.f64 x.re)) #s(literal -8 binary64))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) x.re)
(fma.f64 x.im x.re (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) x.re)
(fma.f64 #s(literal 1 binary64) (.f64 x.re x.im) (.f64 x.re x.im))
(+.f64 (.f64 #s(literal 2 binary64) x.re) (.f64 x.im x.re))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re x.im)) (*.f64 x.re x.im))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.im x.re)) (*.f64 x.im x.re))
(fma.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im)) (*.f64 x.re x.im))
(fma.f64 (sqrt.f64 (.f64 x.im x.re)) (sqrt.f64 (.f64 x.im x.re)) (*.f64 x.im x.re))

eval108.0ms (1.7%)

Compiler: Compiled 5837 to 2959 computations (49.3% saved)

prune51.0ms (0.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	294	9	303
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	296	11	307

Accuracy

100.0%

Counts

307 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
▶	47.2%	(fma.f64 (*.f64 x.im x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.1%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
	84.2%	(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.im x.re))))
▶	54.6%	(pow.f64 x.re #s(literal 3 binary64))
	84.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	84.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x.re x.im))) (sqrt.f64 (.f64 x.re x.im))) x.im))
▶	52.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 #s(literal 2 binary64) x.re))
✓	81.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))
	33.7%	(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))

Compiler

Compiled 281 to 175 computations (37.7% saved)

localize334.0ms (5.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	64	(*.f64 #s(literal -1 binary64) x.re)
✓	cost-diff	256	(+.f64 (.f64 #s(literal -2 binary64) x.re) (.f64 #s(literal -1 binary64) x.re))
✓	cost-diff	256	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))
✓	accuracy	93.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	90.2%	(fma.f64 (*.f64 x.im x.re) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
✓	accuracy	88.5%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	accuracy	88.0%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))

Rules

668×	`fma-define`
608×	`sub-neg`
561×	`fma-neg`
529×	`unsub-neg`
355×	`distribute-lft-out--`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	384
1	73	383
2	162	376
3	415	374
4	1197	371
5	3636	371
6	6520	371

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

187.0ms

256×

valid

Compiler

Compiled 122 to 59 computations (51.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-sub: 44.0ms (36.1% of total)

ival-pow: 41.0ms (33.7% of total)

ival-mult: 25.0ms (20.5% of total)

ival-fma: 6.0ms (4.9% of total)

const: 3.0ms (2.5% of total)

ival-add: 2.0ms (1.6% of total)

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

series13.0ms (0.2%)

Counts

7 → 120

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	0	(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
1.0ms	x.im	@	0	(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
0.0ms	x.im	@	inf	(* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re)))
0.0ms	x.re	@	inf	(+ (* -2 x.re) (* -1 x.re))
0.0ms	x.im	@	-inf	(+ (* (* x.im x.re) -3) (pow x.re 3))

rewrite264.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`log1p-expm1-u`
837×	`expm1-log1p-u`
508×	`fma-neg`
158×	`associate-r`
148×	`add-cube-cbrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	152
1	370	127
2	5020	119

Stop Event

1×	node limit

Counts

7 → 296

Calls

Call 1

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

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

simplify191.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-neg`
498×	`distribute-lft-in`
341×	`associate-r`
319×	`associate-l`
302×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	541	10767
1	1174	10386
2	4235	9845

Stop Event

1×	node limit

Counts

416 → 352

Calls

Call 1

Inputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 x.im x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 x.im x.re))
(.f64 x.im (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)))
(.f64 x.im (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)))
(.f64 x.im (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)))
(.f64 #s(literal -3 binary64) (.f64 x.im x.re))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 #s(literal 3 binary64) x.re))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 #s(literal 3 binary64) x.re))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 #s(literal 3 binary64) x.re))))
(.f64 #s(literal -3 binary64) (.f64 x.im x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.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)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 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)))
(*.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)))
(*.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)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 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)))
(*.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)))
(*.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)))
(*.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 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 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) x.re)
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (.f64 (.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
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(fma.f64 x.re x.re (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 x.re (-.f64 x.re (*.f64 #s(literal -2 binary64) x.re)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 x.re (-.f64 x.re (*.f64 #s(literal -2 binary64) x.re)) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal -1 binary64) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal -3 binary64) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal -3 binary64) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) x.re) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) x.re) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x.re) (pow.f64 x.re #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x.re) (pow.f64 x.re #s(literal 3/2 binary64)) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (sqrt.f64 x.re) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (sqrt.f64 x.re) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))))
(-.f64 (*.f64 #s(literal -2 binary64) x.re) x.re)
(-.f64 (exp.f64 (log1p.f64 x.re)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x.re)
(-.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 4 binary64)) x.re) x.re)
(*.f64 x.re #s(literal -1 binary64))
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 #s(literal 1 binary64) x.re)
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x.re)))
(.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) #s(literal -3 binary64)))
(.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.re) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 x.re) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x.re) (sqrt.f64 x.re))
(*.f64 (sqrt.f64 x.re) (neg.f64 (sqrt.f64 x.re)))
(.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) #s(literal -3 binary64)))
(.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))))
(.f64 (+.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x.re)) (sqrt.f64 x.re)) (-.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x.re)) (sqrt.f64 x.re)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(*.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x.re (pow.f64 x.re #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x.re #s(literal 3 binary64))) (pow.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 #s(literal -2 binary64) x.re)))
(pow.f64 x.re #s(literal 1 binary64))
(pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x.re) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x.re) #s(literal 2 binary64))
(neg.f64 x.re)
(sqrt.f64 (pow.f64 x.re #s(literal 2 binary64)))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (pow.f64 (exp.f64 x.re) #s(literal -2 binary64)) (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))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) x.re x.re)
(fma.f64 x.re #s(literal -2 binary64) x.re)
(fma.f64 x.re #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 (*.f64 #s(literal -2 binary64) x.re) #s(literal 1 binary64) x.re)
(fma.f64 #s(literal -1 binary64) x.re (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 #s(literal 1 binary64) x.re (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x.re) x.re)
(fma.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) #s(literal 2 binary64)) x.re)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) x.re)
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) #s(literal -2 binary64)) x.re)
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x.re)) (sqrt.f64 (.f64 #s(literal -2 binary64) x.re)) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) #s(literal -2 binary64)) x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re)
(+.f64 x.re (*.f64 #s(literal -2 binary64) x.re))
(+.f64 x.re (fma.f64 #s(literal 1 binary64) x.re x.re))
(+.f64 x.re (fma.f64 x.re #s(literal -1 binary64) x.re))
(+.f64 x.re (fma.f64 x.re #s(literal 1 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) x.re))
(+.f64 x.re (fma.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re))
(+.f64 (*.f64 #s(literal -2 binary64) x.re) x.re)
(-.f64 (*.f64 #s(literal -2 binary64) x.re) x.re)
(-.f64 (exp.f64 (log1p.f64 x.re)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x.re)
(-.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 4 binary64)) x.re) x.re)
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x.re (pow.f64 x.re #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x.re #s(literal 3 binary64))) (pow.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 #s(literal -2 binary64) x.re)))
(pow.f64 x.re #s(literal 1 binary64))
(pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 x.re) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x.re) #s(literal 2 binary64))
(neg.f64 x.re)
(sqrt.f64 (pow.f64 x.re #s(literal 2 binary64)))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (pow.f64 (exp.f64 x.re) #s(literal -2 binary64)) (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))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) x.re x.re)
(fma.f64 x.re #s(literal -2 binary64) x.re)
(fma.f64 x.re #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 (*.f64 #s(literal -2 binary64) x.re) #s(literal 1 binary64) x.re)
(fma.f64 #s(literal -1 binary64) x.re (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 #s(literal 1 binary64) x.re (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x.re) x.re)
(fma.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) #s(literal 2 binary64)) x.re)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) x.re)
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) #s(literal -2 binary64)) x.re)
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x.re)) (sqrt.f64 (.f64 #s(literal -2 binary64) x.re)) x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 #s(literal -2 binary64) x.re))
(fma.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) #s(literal -2 binary64)) x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im x.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 x.im x.re)))
(exp.f64 (log.f64 (*.f64 x.im x.re)))
(exp.f64 (.f64 (log.f64 (.f64 x.im x.re)) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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x.re
(log.f64 (/.f64 (pow.f64 (exp.f64 x.re) #s(literal -2 binary64)) (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))
x.re
(exp.f64 (log.f64 x.re))
x.re
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 1 binary64)))
x.re
(fma.f64 #s(literal -2 binary64) x.re x.re)
(neg.f64 x.re)
(fma.f64 x.re #s(literal -2 binary64) x.re)
(neg.f64 x.re)
(fma.f64 x.re #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x.re))
(*.f64 #s(literal -3 binary64) x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) x.re) #s(literal 1 binary64) x.re)
(neg.f64 x.re)
(fma.f64 #s(literal -1 binary64) x.re (*.f64 #s(literal -2 binary64) x.re))
(*.f64 #s(literal -3 binary64) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x.re) x.re)
(neg.f64 x.re)
(fma.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) #s(literal 2 binary64)) x.re)
(neg.f64 x.re)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) x.re)
(neg.f64 x.re)
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) #s(literal -2 binary64)) x.re)
(neg.f64 x.re)
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x.re)) (sqrt.f64 (.f64 #s(literal -2 binary64) x.re)) x.re)
(neg.f64 x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(fma.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) #s(literal -2 binary64)) x.re)
(neg.f64 x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) x.re)
(neg.f64 x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re)
(neg.f64 x.re)
(+.f64 x.re (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(+.f64 x.re (fma.f64 #s(literal 1 binary64) x.re x.re))
(+.f64 x.re (+.f64 x.re x.re))
(*.f64 x.re #s(literal 3 binary64))
(+.f64 x.re (fma.f64 x.re #s(literal -1 binary64) x.re))
x.re
(+.f64 x.re (fma.f64 x.re #s(literal 1 binary64) x.re))
(+.f64 x.re (+.f64 x.re x.re))
(*.f64 x.re #s(literal 3 binary64))
(+.f64 x.re (fma.f64 (neg.f64 (cbrt.f64 x.re)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) x.re))
x.re
(+.f64 x.re (fma.f64 (neg.f64 (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re))
x.re
(+.f64 (*.f64 #s(literal -2 binary64) x.re) x.re)
(neg.f64 x.re)
(-.f64 (*.f64 #s(literal -2 binary64) x.re) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(-.f64 (exp.f64 (log1p.f64 x.re)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 x.re))
(-.f64 #s(literal 0 binary64) x.re)
(neg.f64 x.re)
(-.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 4 binary64)) x.re) x.re)
(-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) x.re)) x.re)
(-.f64 (*.f64 x.re #s(literal 4 binary64)) x.re)
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))
x.re
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.re x.re (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
x.re
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
x.re
(/.f64 #s(literal 1 binary64) (/.f64 x.re (pow.f64 x.re #s(literal 2 binary64))))
x.re
(/.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x.re #s(literal 3 binary64))) (pow.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 #s(literal -2 binary64) x.re)))
(/.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 #s(literal 2 binary64) x.re)))
(/.f64 (fma.f64 x.re x.re (.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal -4 binary64))) (.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 1 binary64))
x.re
(pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1/3 binary64))
x.re
(pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1/2 binary64))
x.re
(pow.f64 (cbrt.f64 x.re) #s(literal 3 binary64))
x.re
(pow.f64 (sqrt.f64 x.re) #s(literal 2 binary64))
x.re
(neg.f64 x.re)
(sqrt.f64 (pow.f64 x.re #s(literal 2 binary64)))
x.re
(fabs.f64 x.re)
x.re
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x.re)))
x.re
(log.f64 (/.f64 (pow.f64 (exp.f64 x.re) #s(literal -2 binary64)) (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))
x.re
(exp.f64 (log.f64 x.re))
x.re
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 1 binary64)))
x.re
(fma.f64 #s(literal -2 binary64) x.re x.re)
(neg.f64 x.re)
(fma.f64 x.re #s(literal -2 binary64) x.re)
(neg.f64 x.re)
(fma.f64 x.re #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x.re))
(*.f64 #s(literal -3 binary64) x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) x.re) #s(literal 1 binary64) x.re)
(neg.f64 x.re)
(fma.f64 #s(literal -1 binary64) x.re (*.f64 #s(literal -2 binary64) x.re))
(*.f64 #s(literal -3 binary64) x.re)
(fma.f64 #s(literal 1 binary64) x.re (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x.re) x.re)
(neg.f64 x.re)
(fma.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) #s(literal 2 binary64)) x.re)
(neg.f64 x.re)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -2 binary64) x.re)) x.re)
(neg.f64 x.re)
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) #s(literal -2 binary64)) x.re)
(neg.f64 x.re)
(fma.f64 (sqrt.f64 (.f64 #s(literal -2 binary64) x.re)) (sqrt.f64 (.f64 #s(literal -2 binary64) x.re)) x.re)
(neg.f64 x.re)
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(fma.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) #s(literal -2 binary64)) x.re)
(neg.f64 x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) x.re)
(neg.f64 x.re)
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x.re)) (sqrt.f64 x.re) x.re)
(neg.f64 x.re)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im x.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.im x.re)))
(pow.f64 (*.f64 x.im x.re) #s(literal 1 binary64))
(*.f64 x.im x.re)
(pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal 3 binary64))
(*.f64 x.im x.re)
(pow.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im x.re)
(pow.f64 (sqrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))
(*.f64 x.im x.re)
(sqrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(*.f64 x.im x.re)
(log.f64 (pow.f64 (exp.f64 x.im) x.re))
(*.f64 x.im x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im x.re))))
(*.f64 x.im x.re)
(cbrt.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(*.f64 x.im x.re)
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 x.im x.re)
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 x.im x.re)
(expm1.f64 (log1p.f64 (*.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 x.im x.re)))
(*.f64 x.im x.re)
(exp.f64 (log.f64 (*.f64 x.im x.re)))
(*.f64 x.im x.re)
(exp.f64 (.f64 (log.f64 (.f64 x.im x.re)) #s(literal 1 binary64)))
(*.f64 x.im x.re)

eval162.0ms (2.5%)

Compiler: Compiled 5422 to 3681 computations (32.1% saved)

prune386.0ms (6%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	344	8	352
Fresh	1	3	4
Picked	3	2	5
Done	0	2	2
Total	348	15	363

Accuracy

100.0%

Counts

363 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.2%	(fma.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	87.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	85.4%	(fma.f64 (exp.f64 (log.f64 (.f64 x.im x.re))) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.1%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
	84.2%	(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.im x.re))))
✓	54.6%	(pow.f64 x.re #s(literal 3 binary64))
▶	84.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	84.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x.re x.im))) (sqrt.f64 (.f64 x.re x.im))) x.im))
	58.9%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 2 binary64) x.re))
✓	81.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	52.5%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
▶	17.8%	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
	17.8%	(.f64 x.im (.f64 #s(literal -3 binary64) x.re))
▶	17.8%	(.f64 #s(literal -3 binary64) (.f64 x.im x.re))

Compiler

Compiled 338 to 217 computations (35.8% saved)

localize268.0ms (4.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 x.im x.re))
✓	cost-diff	6528	(fma.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (*.f64 x.im x.re)) #s(literal 2 binary64))
	accuracy	93.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	88.5%	(fma.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	accuracy	88.0%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
✓	accuracy	79.3%	(sqrt.f64 (*.f64 x.im x.re))

Rules

688×	`fma-define`
590×	`sub-neg`
524×	`distribute-lft-out`
424×	`fma-neg`
351×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	503
1	70	440
2	159	434
3	391	431
4	954	431
5	3023	431
6	5604	431
7	7850	431

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

124.0ms

256×

valid

Compiler

Compiled 136 to 56 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-pow: 37.0ms (43.3% of total)

ival-mult: 36.0ms (42.1% of total)

ival-sub: 4.0ms (4.7% of total)

ival-fma: 3.0ms (3.5% of total)

const: 3.0ms (3.5% of total)

ival-sqrt: 2.0ms (2.3% of total)

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

series14.0ms (0.2%)

Counts

5 → 92

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite121.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`log1p-expm1-u`
847×	`expm1-log1p-u`
548×	`log-prod`
190×	`pow-to-exp`
188×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104
1	245	104
2	2527	104

Stop Event

1×	node limit

Counts

5 → 143

Calls

Call 1

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

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

simplify147.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg`
600×	`exp-prod`
509×	`prod-exp`
396×	`distribute-lft-in`
323×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	381	6893
1	736	6095
2	2391	6065
3	6620	6061

Stop Event

1×	node limit

Counts

235 → 196

Calls

Call 1

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

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

eval73.0ms (1.1%)

Compiler: Compiled 5907 to 3733 computations (36.8% saved)

prune49.0ms (0.8%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	1	5	6
Picked	0	5	5
Done	0	4	4
Total	297	15	312

Accuracy

100.0%

Counts

312 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.2%	(fma.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	87.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	85.4%	(fma.f64 (exp.f64 (log.f64 (.f64 x.im x.re))) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.1%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
▶	84.2%	(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.im x.re))))
✓	54.6%	(pow.f64 x.re #s(literal 3 binary64))
✓	84.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
▶	58.9%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 2 binary64) x.re))
✓	81.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶	86.2%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
✓	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
▶	52.5%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
✓	17.8%	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
▶	17.8%	(.f64 x.im (.f64 #s(literal -3 binary64) x.re))
✓	17.8%	(.f64 #s(literal -3 binary64) (.f64 x.im x.re))

Compiler

Compiled 257 to 170 computations (33.9% saved)

localize258.0ms (4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x.im (.f64 #s(literal -3 binary64) x.re))
	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(.f64 x.re (.f64 x.im #s(literal -3 binary64)))
✓	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
	accuracy	93.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	89.3%	(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.im x.re))))
✓	accuracy	88.0%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
✓	accuracy	87.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))

Rules

895×	`fma-neg`
594×	`sub-neg`
491×	`unsub-neg`
397×	`distribute-lft-out`
353×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	538
1	92	520
2	204	513
3	476	508
4	1434	508
5	4191	508
6	7791	508

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

136.0ms

256×

valid

Compiler

Compiled 154 to 66 computations (57.1% saved)

Precisions

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

ival-mult: 45.0ms (57.8% of total)

ival-pow: 21.0ms (27% of total)

ival-sub: 4.0ms (5.1% of total)

ival-fma: 3.0ms (3.9% of total)

const: 3.0ms (3.9% of total)

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

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

series13.0ms (0.2%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite161.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1071×	`log1p-expm1-u`
648×	`expm1-log1p-u`
247×	`associate-r`
172×	`add-cube-cbrt`
171×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	179
1	429	172
2	5505	172

Stop Event

1×	node limit

Counts

6 → 132

Calls

Call 1

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

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

simplify118.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

771×	`distribute-lft-in`
770×	`distribute-rgt-in`
434×	`cancel-sign-sub-inv`
338×	`times-frac`
297×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	8285
1	696	8167
2	2740	8145

Stop Event

1×	node limit

Counts

252 → 165

Calls

Call 1

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

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

eval78.0ms (1.2%)

Compiler: Compiled 5941 to 3979 computations (33% saved)

prune55.0ms (0.9%)

Pruning

16 alts after pruning (2 fresh and 14 done)

	Pruned	Kept	Total
New	290	1	291
Fresh	0	1	1
Picked	0	5	5
Done	0	9	9
Total	290	16	306

Accuracy

100.0%

Counts

306 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.2%	(fma.f64 (pow.f64 (sqrt.f64 (.f64 x.im x.re)) #s(literal 2 binary64)) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	87.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	85.4%	(fma.f64 (exp.f64 (log.f64 (.f64 x.im x.re))) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.1%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	84.2%	(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.im x.re))))
✓	54.6%	(pow.f64 x.re #s(literal 3 binary64))
✓	84.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
✓	58.9%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 2 binary64) x.re))
✓	81.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
✓	86.2%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64)))))
	86.2%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 #s(literal -3 binary64) (*.f64 x.im x.re))))
✓	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
✓	52.5%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
✓	17.8%	(.f64 (.f64 #s(literal -3 binary64) x.im) x.re)
✓	17.8%	(.f64 x.im (.f64 #s(literal -3 binary64) x.re))
✓	17.8%	(.f64 #s(literal -3 binary64) (.f64 x.im x.re))

Compiler

Compiled 455 to 250 computations (45.1% saved)

regimes33.0ms (0.5%)

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

13.0ms	x.re
12.0ms	x.im
6.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.9%	2	`x.re`
93.0%	2	`x.im`
97.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes8.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

x.re

Results

Accuracy	Segments	Branch
99.9%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

7.0ms	x.re
4.0ms	(-.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
95.1%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
95.1%	2	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
58.9%	1	`x.im`
63.7%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
17.8%	1	`x.im`
17.8%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	1.2635807612248189e+101	2.7666391848075355e+104

Results

8.0ms

96×

valid

Compiler

Compiled 206 to 135 computations (34.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 4.0ms (77.6% of total)

ival-sub: 1.0ms (19.4% of total)

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

const: 0.0ms (0% of total)

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

bsearch4.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	1.2635807612248189e+101	2.7666391848075355e+104

Results

3.0ms

32×

valid

Compiler

Compiled 86 to 55 computations (36% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (58.2% 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)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.5966170443503538e+28	2.9499966319764426e+29

Results

10.0ms

112×

valid

Compiler

Compiled 278 to 169 computations (39.2% saved)

Precisions

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

ival-mult: 5.0ms (70.6% of total)

ival-sub: 1.0ms (14.1% of total)

ival-add: 1.0ms (14.1% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.0138386289021175e-168	1.0403919612410059e-168

Compiler

Compiled 26 to 15 computations (42.3% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
15×	`+-commutative`
12×	`sub-neg`
9×	`distribute-lft-neg-in`
9×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	465
1	80	465
2	113	465
3	133	465
4	143	465
5	145	465

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))))) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 #s(literal 2 binary64) x.re)))
(if (<=.f64 x.re #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 #s(literal -3 binary64) (.f64 x.im x.re)))) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 #s(literal 2 binary64) x.re)))
(if (<=.f64 x.re #s(literal 289999999999999994507542134784 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(if (<=.f64 x.re #s(literal 8668172042769639/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im x.re)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(.f64 #s(literal -3 binary64) (.f64 x.im x.re))

Outputs
(if (<=.f64 x.re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))))) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 #s(literal 2 binary64) x.re)))
(if (<=.f64 x.re #s(literal 5000000000000000009578375428673343681079775636325960055764017572996896621019943779806180725540901617664 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))))) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.re #s(literal 2 binary64))))
(if (<=.f64 x.re #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 #s(literal -3 binary64) (.f64 x.im x.re)))) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (.f64 #s(literal 2 binary64) x.re)))
(if (<=.f64 x.re #s(literal 199999999999999995409902653049067325689368543984830001225999194946398690436157982260652258896302309376 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 #s(literal -3 binary64) (.f64 x.re x.im)))) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.re #s(literal 2 binary64))))
(if (<=.f64 x.re #s(literal 289999999999999994507542134784 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(if (<=.f64 x.re #s(literal 289999999999999994507542134784 binary64)) (-.f64 (.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 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.f64 x.re #s(literal 2 binary64))))
(if (<=.f64 x.re #s(literal 8668172042769639/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.im x.re)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(if (<=.f64 x.re #s(literal 8668172042769639/8498207885068273579033411304839498037273489883632510771191106211206456957773635883826600036243668570702229271779944016245545269402443315830552319660265397631101300333366291504507650048 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re x.im)) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.f64 x.re #s(literal 2 binary64))))
(.f64 #s(literal -3 binary64) (.f64 x.im x.re))
(.f64 #s(literal -3 binary64) (.f64 x.re x.im))

soundness857.0ms (13.3%)

Rules

1032×	`unsub-neg`
975×	`log1p-expm1-u`
847×	`log1p-expm1-u`
847×	`expm1-log1p-u`
837×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	490	11952
1	1434	11952
0	32	266
1	500	174
2	6711	174
0	21	104
1	245	104
2	2527	104
0	27	152
1	370	127
2	5020	119
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301

Stop Event

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

Compiler

Compiled 428 to 211 computations (50.7% saved)

preprocess59.0ms (0.9%)

Remove: (abs x.im)
Compiler: Compiled 678 to 384 computations (43.4% saved)

analyze0.0ms (0%)

sample1.4s (21%)

preprocess137.0ms (2.1%)

explain265.0ms (4.1%)

eval1.0ms (0%)

prune6.0ms (0.1%)

localize365.0ms (5.6%)

series27.0ms (0.4%)

rewrite311.0ms (4.8%)

simplify109.0ms (1.7%)

eval108.0ms (1.7%)

prune51.0ms (0.8%)

localize334.0ms (5.2%)

series13.0ms (0.2%)

rewrite264.0ms (4.1%)

simplify191.0ms (2.9%)

eval162.0ms (2.5%)

prune386.0ms (6%)

localize268.0ms (4.1%)

series14.0ms (0.2%)

rewrite121.0ms (1.9%)

simplify147.0ms (2.3%)

eval73.0ms (1.1%)

prune49.0ms (0.8%)

localize258.0ms (4%)

series13.0ms (0.2%)

rewrite161.0ms (2.5%)

simplify118.0ms (1.8%)

eval78.0ms (1.2%)

prune55.0ms (0.9%)

regimes33.0ms (0.5%)

regimes8.0ms (0.1%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch14.0ms (0.2%)

bsearch4.0ms (0.1%)

bsearch15.0ms (0.2%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

soundness857.0ms (13.3%)

preprocess59.0ms (0.9%)

end0.0ms (0%)

Profiling