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)

sample1.3s (12.9%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 669.0ms

ival-mult: 433.0ms (64.7% of total)

ival-sub: 184.0ms (27.5% of total)

ival-add: 43.0ms (6.4% of total)

const: 7.0ms (1% of total)

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

Bogosity

preprocess137.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x.im)

(negabs x.re)

explain107.0ms (1%)

FPErrors

Click to see full error table

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

Results

59.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 23.0ms (74.1% of total)

ival-sub: 5.0ms (16.1% of total)

ival-add: 2.0ms (6.4% of total)

const: 1.0ms (3.2% of total)

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.5%	(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)))
▶	81.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	78.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶	78.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Compiler

Compiled 65 to 39 computations (40% saved)

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

localize113.0ms (1.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal -2 binary64))
✓	accuracy	93.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	89.1%	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	accuracy	87.5%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	94.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	93.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	92.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	89.1%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	85.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	89.1%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	accuracy	85.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Results

78.0ms

256×

valid

Compiler

Compiled 181 to 27 computations (85.1% saved)

Precisions

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

ival-mult: 24.0ms (60.9% of total)

ival-pow: 5.0ms (12.7% of total)

ival-add: 4.0ms (10.2% of total)

ival-sub: 3.0ms (7.6% of total)

ival-fma: 3.0ms (7.6% of total)

const: 1.0ms (2.5% of total)

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

series51.0ms (0.5%)

Counts

18 → 348

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
11.0ms	x.re	@	0	(- (* x.re x.re) (* x.im x.im))
1.0ms	x.im	@	inf	(+ (* x.re (- (* x.re x.re) (* x.im x.im))) (* x.re (* (* x.im -2) x.im)))
1.0ms	x.re	@	0	(* x.re (* x.im (* x.im -3)))
1.0ms	x.im	@	inf	(* x.im (* x.im -3))
1.0ms	x.re	@	-inf	(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite355.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

18 → 448

Calls

Call 1

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

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

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	857	3407
1	2892	3407

Stop Event

1×

unsound

Counts

796 → 465

Calls

Call 1

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

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

eval65.0ms (0.6%)

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

prune91.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	594	7	601
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	596	9	605

Accuracy

100.0%

Counts

605 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
▶	54.9%	(pow.f64 x.re #s(literal 3 binary64))
▶	0.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
▶	81.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
▶	85.8%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	46.5%	(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	78.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	78.7%	(+.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 -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))

Compiler

Compiled 242 to 148 computations (38.8% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

20×	`*-commutative`
19×	`distribute-lft-in`
16×	`distribute-rgt-in`
16×	`fma-define`
13×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	995
1	109	995
2	299	995

Stop Event

1×

unsound

Calls

Call 1

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

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

localize213.0ms (2.1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	100.0%	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.im x.im)
	accuracy	100.0%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(*.f64 x.im #s(literal 0 binary64))
	accuracy	100.0%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	100.0%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)

Results

169.0ms

256×

invalid

Compiler

Compiled 244 to 32 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 110.0ms (85.2% of total)

ival-sub: 8.0ms (6.2% of total)

ival-add: 5.0ms (3.9% of total)

ival-pow: 5.0ms (3.9% of total)

ival-div: 1.0ms (0.8% of total)

const: 1.0ms (0.8% of total)

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

series28.0ms (0.3%)

Counts

14 → 237

Calls

Call 1

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

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

75 calls:

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

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

193×	`log1p-expm1-u`
193×	`expm1-log1p-u`
191×	`associate-r`
191×	`add-cube-cbrt`
187×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	404
1	512	404

Stop Event

1×	node limit

Counts

14 → 473

Calls

Call 1

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

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

simplify284.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

792×	`times-frac`
313×	`fma-define`
248×	`distribute-lft-in`
230×	`distribute-lft-neg-out`
228×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	13495
1	1313	11865
2	3753	11347

Stop Event

1×	node limit

Counts

710 → 374

Calls

Call 1

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

Outputs
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (.f64 #s(literal -1 binary64) x.im)))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re))
(*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))))
(.f64 x.re (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (+.f64 x.re (neg.f64 x.im))))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (.f64 x.re (+.f64 x.im (+.f64 x.re (.f64 #s(literal -1 binary64) x.im))))))
(.f64 x.re (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re (+.f64 x.im (+.f64 x.re (neg.f64 x.im))))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x.im x.re) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 x.im x.re)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (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 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))
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(.f64 (+.f64 x.re #s(literal -27 binary64)) (/.f64 (+.f64 x.re #s(literal -19683 binary64)) (+.f64 #s(literal 729 binary64) (.f64 x.re #s(literal 28 binary64)))))
(/.f64 (*.f64 (+.f64 x.re #s(literal -729 binary64)) (+.f64 x.re #s(literal -27 binary64))) (+.f64 x.re #s(literal 27 binary64)))
(*.f64 (+.f64 x.re #s(literal -27 binary64)) (/.f64 (+.f64 x.re #s(literal -729 binary64)) (+.f64 x.re #s(literal 27 binary64))))
(*.f64 (+.f64 x.re #s(literal -729 binary64)) (/.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 x.re #s(literal 27 binary64))))
(pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 x.re #s(literal -27 binary64)))
(pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (+.f64 x.re #s(literal -27 binary64)))
(sqrt.f64 (+.f64 x.re #s(literal -27 binary64)))
(fabs.f64 (+.f64 x.re #s(literal -27 binary64)))
(fabs.f64 (-.f64 #s(literal 27 binary64) x.re))
(log.f64 (exp.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 x.re #s(literal -27 binary64))
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x.re #s(literal -27 binary64)))))
(log.f64 (fma.f64 (exp.f64 x.re) (exp.f64 #s(literal -27 binary64)) #s(literal -2 binary64)))
(cbrt.f64 (+.f64 x.re #s(literal -27 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 (+.f64 #s(literal -26 binary64) x.re) #s(literal -1 binary64))
(+.f64 #s(literal -26 binary64) (+.f64 #s(literal -1 binary64) x.re))
(log1p.f64 (expm1.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 x.re #s(literal -27 binary64))
(exp.f64 (log.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 x.re #s(literal -27 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 x.re #s(literal -27 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x.re #s(literal -27 binary64)))
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 #s(literal -1 binary64) x.re #s(literal -27 binary64))
(-.f64 #s(literal -27 binary64) x.re)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x.re)
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -1 binary64) x.re))
(+.f64 x.re (*.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re #s(literal 3 binary64))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (-.f64 #s(literal 1 binary64) x.re) x.re x.re)
(*.f64 x.re (+.f64 #s(literal 2 binary64) (neg.f64 x.re)))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) x.re)
(+.f64 #s(literal -1 binary64) (neg.f64 x.re))
(-.f64 #s(literal -1 binary64) x.re)
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) x.re)
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -1 binary64))
(+.f64 x.re #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x.re)
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(+.f64 #s(literal -1 binary64) x.re)
(hypot.f64 x.re #s(literal -1 binary64))
(hypot.f64 #s(literal -1 binary64) x.re)
(hypot.f64 #s(literal -1 binary64) x.re)
(hypot.f64 x.re #s(literal -1 binary64))
(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)))
(/.f64 #s(literal 1 binary64) x.re)
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -1 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 #s(literal -1 binary64) x.re x.re)
#s(literal 0 binary64)
(fma.f64 #s(literal -1 binary64) x.re #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x.re)
(fma.f64 #s(literal -1 binary64) x.re (neg.f64 x.re))
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) x.re)
(+.f64 x.re #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (neg.f64 x.re))
(+.f64 #s(literal 1 binary64) (neg.f64 x.re))
(-.f64 #s(literal 1 binary64) x.re)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x.re)
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -1 binary64) x.re))
(+.f64 x.re (*.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re #s(literal 3 binary64))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (-.f64 #s(literal 1 binary64) x.re) x.re x.re)
(*.f64 x.re (+.f64 #s(literal 2 binary64) (neg.f64 x.re)))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) x.re)
(+.f64 #s(literal -1 binary64) (neg.f64 x.re))
(-.f64 #s(literal -1 binary64) x.re)
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) x.re)
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -1 binary64))
(+.f64 x.re #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x.re)
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(+.f64 #s(literal -1 binary64) x.re)
(hypot.f64 x.re #s(literal -1 binary64))
(hypot.f64 #s(literal -1 binary64) x.re)
(hypot.f64 #s(literal -1 binary64) x.re)
(hypot.f64 x.re #s(literal -1 binary64))
(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)))
(/.f64 #s(literal 1 binary64) x.re)
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -1 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 #s(literal -1 binary64) x.re x.re)
#s(literal 0 binary64)
(fma.f64 #s(literal -1 binary64) x.re #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x.re)
(fma.f64 #s(literal -1 binary64) x.re (neg.f64 x.re))
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) x.re)
(+.f64 x.re #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (neg.f64 x.re))
(+.f64 #s(literal 1 binary64) (neg.f64 x.re))
(-.f64 #s(literal 1 binary64) x.re)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x.re)
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -1 binary64) x.re))
(+.f64 x.re (*.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re #s(literal 3 binary64))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (-.f64 #s(literal 1 binary64) x.re) x.re x.re)
(*.f64 x.re (+.f64 #s(literal 2 binary64) (neg.f64 x.re)))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 #s(literal -1 binary64) x.re)
(+.f64 #s(literal -1 binary64) (neg.f64 x.re))
(-.f64 #s(literal -1 binary64) x.re)
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x.re) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) x.re)
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -1 binary64))
(+.f64 x.re #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) x.re)
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -1 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(log.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(+.f64 #s(literal -1 binary64) x.re)
(hypot.f64 x.re #s(literal -1 binary64))
(hypot.f64 #s(literal -1 binary64) x.re)
(hypot.f64 #s(literal -1 binary64) x.re)
(hypot.f64 x.re #s(literal -1 binary64))
(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)))
(/.f64 #s(literal 1 binary64) x.re)
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -1 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 #s(literal -1 binary64) x.re x.re)
#s(literal 0 binary64)
(fma.f64 #s(literal -1 binary64) x.re #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x.re)
(fma.f64 #s(literal -1 binary64) x.re (neg.f64 x.re))
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) x.re)
(+.f64 x.re #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (neg.f64 x.re))
(+.f64 #s(literal 1 binary64) (neg.f64 x.re))
(-.f64 #s(literal 1 binary64) x.re)

eval85.0ms (0.8%)

Compiler: Compiled 14098 to 2104 computations (85.1% saved)

prune229.0ms (2.2%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	678	11	689
Fresh	0	2	2
Picked	3	2	5
Done	0	2	2
Total	681	17	698

Accuracy

100.0%

Counts

698 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.4%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	54.9%	(pow.f64 x.re #s(literal 3 binary64))
	23.6%	(-.f64 (/.f64 #s(literal -1 binary64) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	37.5%	(-.f64 (-.f64 x.re x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	83.9%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	26.2%	(-.f64 (+.f64 x.re (.f64 (neg.f64 x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	27.5%	(-.f64 (+.f64 x.re x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	81.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	51.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	82.4%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	43.6%	(-.f64 (.f64 (.f64 (neg.f64 x.im) (.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	34.1%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	26.1%	(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	25.4%	(-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓	78.8%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	78.7%	(+.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 -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))

Compiler

Compiled 506 to 301 computations (40.5% saved)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

820×	`fma-neg`
423×	`distribute-lft-in`
408×	`distribute-rgt-in`
389×	`cancel-sign-sub-inv`
363×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	950
1	86	845
2	220	819
3	941	793
4	4459	781

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

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

localize178.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.8%	(.f64 (.f64 (neg.f64 x.im) (*.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) x.re)
✓	accuracy	94.0%	(.f64 (neg.f64 x.im) (.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
✓	accuracy	82.3%	(-.f64 (.f64 (.f64 (neg.f64 x.im) (.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.7%	(.f64 (.f64 x.im #s(literal -27 binary64)) x.re)
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	100.0%	(-.f64 (+.f64 x.re x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
	accuracy	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	86.9%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Results

122.0ms	251×	0	valid
2.0ms	3×	1	valid
2.0ms	2×	2	valid

Compiler

Compiled 248 to 29 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-sub: 46.0ms (57.9% of total)

ival-mult: 17.0ms (21.4% of total)

ival-pow: 5.0ms (6.3% of total)

ival-add: 4.0ms (5% of total)

ival-fma: 3.0ms (3.8% of total)

ival-div: 2.0ms (2.5% of total)

const: 1.0ms (1.3% of total)

backward-pass: 1.0ms (1.3% of total)

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

series27.0ms (0.3%)

Counts

11 → 216

Calls

Call 1

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

Calls

60 calls:

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

rewrite191.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

262×	`associate-r`
247×	`log1p-expm1-u`
247×	`expm1-log1p-u`
244×	`add-cube-cbrt`
242×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	475
1	568	281

Stop Event

1×	node limit

Counts

11 → 237

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

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

simplify336.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-neg`
521×	`associate-l`
499×	`associate-r`
397×	`fma-define`
388×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	687	18951
1	1832	18101
2	7557	18097

Stop Event

1×	node limit

Counts

453 → 469

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

eval239.0ms (2.3%)

Compiler: Compiled 18279 to 2401 computations (86.9% saved)

prune143.0ms (1.4%)

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	898	13	911
Fresh	1	7	8
Picked	5	0	5
Done	2	2	4
Total	906	22	928

Accuracy

100.0%

Counts

928 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.9%	(pow.f64 x.re #s(literal 3 binary64))
	23.6%	(-.f64 (/.f64 #s(literal -1 binary64) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	37.5%	(-.f64 (-.f64 x.re x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	83.9%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	26.2%	(-.f64 (+.f64 x.re (.f64 (neg.f64 x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	81.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	51.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	82.4%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	55.4%	(-.f64 (.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 x.im (+.f64 x.re #s(literal -27 binary64)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	34.6%	(-.f64 (.f64 (.f64 (neg.f64 x.im) (.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) x.re) (.f64 (+.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) x.im))
▶	23.7%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 #s(literal -27 binary64) (.f64 x.im x.re)) x.im))
	34.1%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	83.8%	(+.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
	52.2%	(.f64 (.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
	52.4%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
▶	34.1%	(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
	19.4%	(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
	4.2%	(*.f64 #s(literal 2 binary64) x.re)
	52.5%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
	19.5%	(.f64 #s(literal -27 binary64) (.f64 x.im x.re))
▶	13.4%	#s(literal 0 binary64)

Compiler

Compiled 600 to 379 computations (36.8% saved)

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))
	cost-diff	0	(+.f64 x.re #s(literal -27 binary64))
	cost-diff	0	(*.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
	cost-diff	0	(neg.f64 x.im)
	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(*.f64 x.im #s(literal -27 binary64))
	cost-diff	0	(.f64 (.f64 x.im #s(literal -27 binary64)) x.re)
✓	cost-diff	256	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 #s(literal -27 binary64) (.f64 x.im x.re)) x.im))
✓	cost-diff	-6272	(+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))
✓	cost-diff	-6272	(.f64 x.re (+.f64 #s(literal -27 binary64) (.f64 x.im #s(literal -2 binary64))))
✓	cost-diff	-6272	(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
	cost-diff	0	(*.f64 x.im #s(literal -2 binary64))
✓	cost-diff	384	(.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))
✓	cost-diff	576	(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))
✓	cost-diff	576	(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))
✓	cost-diff	640	(+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))

Rules

800×	`fma-define`
552×	`distribute-lft-in`
536×	`unsub-neg`
525×	`distribute-rgt-in`
369×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	1050
1	122	817
2	403	803
3	1490	760
4	6386	752

Stop Event

1×	node limit

Calls

Call 1

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

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

localize160.0ms (1.6%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	99.9%	(*.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
	accuracy	99.8%	(.f64 (.f64 (neg.f64 x.im) (*.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) x.re)
	accuracy	94.0%	(.f64 (neg.f64 x.im) (.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
✓	accuracy	82.3%	(-.f64 (.f64 (.f64 (neg.f64 x.im) (.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) x.re) (.f64 (+.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (+.f64 #s(literal -27 binary64) (.f64 x.im x.re)) x.im))
✓	accuracy	100.0%	(+.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal -27 binary64) (.f64 x.im x.re)) x.im)
	accuracy	99.7%	(.f64 (.f64 x.im #s(literal -27 binary64)) x.re)
✓	accuracy	100.0%	(+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))
	accuracy	100.0%	(*.f64 x.im #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 x.re (+.f64 #s(literal -27 binary64) (.f64 x.im #s(literal -2 binary64))))
✓	accuracy	99.7%	(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	99.8%	(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))
✓	accuracy	92.8%	(-.f64 (+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	85.8%	(+.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im x.re)) (.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))

Results

99.0ms	250×	0	valid
5.0ms	1×	5	exit
2.0ms	2×	2	valid
2.0ms	1×	4	valid
1.0ms	2×	1	valid

Compiler

Compiled 285 to 38 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 29.0ms (47.1% of total)

ival-add: 11.0ms (17.9% of total)

ival-pow: 9.0ms (14.6% of total)

ival-sub: 7.0ms (11.4% of total)

ival-div: 2.0ms (3.3% of total)

const: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

backward-pass: 1.0ms (1.6% of total)

series183.0ms (1.8%)

Counts

14 → 292

Calls

Call 1

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

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

Calls

75 calls:

Time	Variable		Point	Expression
143.0ms	x.re	@	inf	(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
5.0ms	x.re	@	inf	(* x.im (* x.re (+ -27 (* x.im -2))))
2.0ms	x.re	@	0	(- (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms	x.im	@	-inf	(- (* (* x.im -27) x.re) (* (+ -27 (* x.im x.re)) x.im))
1.0ms	x.re	@	0	(* x.im (* x.re (+ -27 (* x.im -2))))

rewrite205.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

378×	`log1p-expm1-u`
378×	`expm1-log1p-u`
373×	`add-cube-cbrt`
369×	`add-exp-log`
369×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	557
1	831	521

Stop Event

1×	node limit

Counts

14 → 340

Calls

Call 1

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

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

simplify564.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-neg`
473×	`associate-r`
423×	`associate-l`
421×	`fma-define`
289×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	942	29893
1	2387	25450
2	7592	25127

Stop Event

1×	node limit

Counts

632 → 620

Calls

Call 1

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

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

eval344.0ms (3.4%)

Compiler: Compiled 28038 to 4054 computations (85.5% saved)

prune233.0ms (2.3%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1098	9	1107
Fresh	4	11	15
Picked	3	2	5
Done	0	2	2
Total	1105	24	1129

Accuracy

100.0%

Counts

1129 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.9%	(pow.f64 x.re #s(literal 3 binary64))
	23.6%	(-.f64 (/.f64 #s(literal -1 binary64) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	83.9%	(-.f64 (+.f64 (.f64 x.im (.f64 x.re (neg.f64 x.im))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	26.2%	(-.f64 (+.f64 x.re (.f64 (neg.f64 x.re) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	81.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	51.2%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	82.4%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	46.5%	(-.f64 (.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 x.im (+.f64 x.re #s(literal -27 binary64)))) x.re) (.f64 (+.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) x.im))
	43.2%	(-.f64 (.f64 (.f64 (neg.f64 x.im) (.f64 (+.f64 x.re #s(literal -27 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))) x.re) (.f64 (*.f64 x.re x.im) x.im))
	34.1%	(-.f64 (.f64 (.f64 x.im #s(literal -27 binary64)) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	83.8%	(+.f64 (.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
	52.5%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	19.5%	(.f64 (.f64 x.re x.im) #s(literal -27 binary64))
	52.2%	(.f64 (.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))
	52.4%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
	17.8%	(.f64 x.re (+.f64 (.f64 x.im (/.f64 #s(literal 27 binary64) x.re)) (*.f64 x.im (-.f64 #s(literal -27 binary64) x.im))))
	19.4%	(.f64 x.re (.f64 x.im #s(literal -27 binary64)))
✓	34.1%	(.f64 x.im (.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
	37.5%	(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -2 binary64))))
	19.4%	(.f64 x.im (.f64 x.re #s(literal -27 binary64)))
	2.6%	(*.f64 x.im #s(literal 27 binary64))
	4.2%	(*.f64 #s(literal 2 binary64) x.re)
	52.5%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
✓	13.4%	#s(literal 0 binary64)

Compiler

Compiled 868 to 336 computations (61.3% saved)

regimes184.0ms (1.8%)

Counts

44 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

154.0ms	x.re
14.0ms	(-.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))
12.0ms	x.im

Results

Accuracy	Segments	Branch
99.9%	2	`x.re`
89.7%	2	`x.im`
97.2%	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)

regimes15.0ms (0.1%)

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

x.re

Results

Accuracy	Segments	Branch
99.9%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.3%)

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

10.0ms	x.re
9.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
94.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
94.8%	2	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes15.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

7.0ms	x.im
7.0ms	x.re

Results

Accuracy	Segments	Branch
61.1%	2	`x.im`
71.7%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes219.0ms (2.2%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -2 binary64))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))

Calls

1 calls:

218.0ms

x.re

Results

Accuracy	Segments	Branch
64.6%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
37.5%	1	`x.im`
37.5%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
21.7%	2	`x.re`
22.5%	2	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.im #s(literal 27 binary64))

Outputs
#s(literal 0 binary64)
(*.f64 #s(literal 2 binary64) x.re)

Calls

2 calls:

2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
15.0%	2	`x.re`
13.4%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes50.0ms (0.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

48.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
13.4%	1	`x.im`
13.4%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.605525834909204e+96	2.0147650305939274e+99

Results

10.0ms

112×

valid

Compiler

Compiled 299 to 190 computations (36.5% saved)

Precisions

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

ival-mult: 5.0ms (76.5% of total)

ival-sub: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.605525834909204e+96	2.0147650305939274e+99

Results

10.0ms

112×

valid

Compiler

Compiled 236 to 162 computations (31.4% saved)

Precisions

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

ival-mult: 5.0ms (69.2% of total)

ival-sub: 1.0ms (13.8% of total)

ival-add: 1.0ms (13.8% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.180232834893036e+91	6.5042706065489145e+91

Results

7.0ms

80×

valid

Compiler

Compiled 206 to 130 computations (36.9% saved)

Precisions

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

ival-mult: 3.0ms (65.3% of total)

ival-sub: 1.0ms (21.8% of total)

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

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.180232834893036e+91	6.5042706065489145e+91
17.0ms	0.00039338025143691846	56.22383350961255

Results

21.0ms

224×

valid

Compiler

Compiled 392 to 259 computations (33.9% saved)

Precisions

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

ival-mult: 11.0ms (77.5% of total)

ival-sub: 2.0ms (14.1% of total)

ival-add: 1.0ms (7% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.00039338025143691846	56.22383350961255

Results

14.0ms

144×

valid

Compiler

Compiled 242 to 159 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (73.1% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.6851775627850329e-21	2.9571857838731487e-15

Results

13.0ms

144×

valid

Compiler

Compiled 134 to 105 computations (21.6% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.2302494039553793e-33	1.7938745237460912e-33

Results

5.0ms

64×

valid

Compiler

Compiled 66 to 51 computations (22.7% saved)

Precisions

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

ival-mult: 3.0ms (84.7% of total)

ival-sub: 1.0ms (28.2% of total)

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

const: 0.0ms (0% of total)

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
20×	`+-commutative`
15×	`sub-neg`
12×	`neg-sub0`
12×	`neg-mul-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	714
1	114	714
2	156	710
3	184	710
4	197	710
5	200	710

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (-.f64 (+.f64 (.f64 x.im (.f64 x.re (neg.f64 x.im))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 (.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 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 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 64999999999999997029919841484437323585319815687480662602966063024819390864950071815529562112 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (.f64 (.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 889460926405673/1125899906842624 binary64)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64)))) (if (<=.f64 x.re #s(literal 64999999999999997029919841484437323585319815687480662602966063024819390864950071815529562112 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/2 binary64)) (.f64 (.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 889460926405673/1125899906842624 binary64)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64)))) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/2 binary64)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -2 binary64))))
(if (<=.f64 x.im #s(literal 15057660889751/2596148429267413814265248164610048 binary64)) #s(literal 0 binary64) (.f64 #s(literal -27 binary64) (.f64 x.im x.re)))
(if (<=.f64 x.re #s(literal 7307508186654515/5846006549323611672814739330865132078623730171904 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.re))
#s(literal 0 binary64)

Outputs
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (-.f64 (+.f64 (.f64 x.im (.f64 x.re (neg.f64 x.im))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 (.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (-.f64 (+.f64 (.f64 x.im (.f64 x.re (neg.f64 x.im))) (pow.f64 x.re #s(literal 3 binary64))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) (.f64 (.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 binary64)) (-.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.im (.f64 x.re x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) (.f64 (.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 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 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 1999999999999999934672337608233382547699066371613110945835923558942591691843455725217479736910938112 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.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 64999999999999997029919841484437323585319815687480662602966063024819390864950071815529562112 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (.f64 (.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 64999999999999997029919841484437323585319815687480662602966063024819390864950071815529562112 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) (.f64 (.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 889460926405673/1125899906842624 binary64)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64)))) (if (<=.f64 x.re #s(literal 64999999999999997029919841484437323585319815687480662602966063024819390864950071815529562112 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/2 binary64)) (.f64 (.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 889460926405673/1125899906842624 binary64)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64)))) (if (<=.f64 x.re #s(literal 64999999999999997029919841484437323585319815687480662602966063024819390864950071815529562112 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64)) (.f64 (.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x.re x.im)))))
(if (<=.f64 x.re #s(literal 889460926405673/1125899906842624 binary64)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64)))) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/2 binary64)))
(if (<=.f64 x.re #s(literal 889460926405673/1125899906842624 binary64)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -2 binary64)))) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/2 binary64)))
(.f64 x.im (.f64 x.re (*.f64 x.im #s(literal -2 binary64))))
(if (<=.f64 x.im #s(literal 15057660889751/2596148429267413814265248164610048 binary64)) #s(literal 0 binary64) (.f64 #s(literal -27 binary64) (.f64 x.im x.re)))
(if (<=.f64 x.im #s(literal 15057660889751/2596148429267413814265248164610048 binary64)) #s(literal 0 binary64) (.f64 (.f64 x.re x.im) #s(literal -27 binary64)))
(if (<=.f64 x.re #s(literal 7307508186654515/5846006549323611672814739330865132078623730171904 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x.re))
(if (<=.f64 x.re #s(literal 7307508186654515/5846006549323611672814739330865132078623730171904 binary64)) #s(literal 0 binary64) (*.f64 x.re #s(literal 2 binary64)))
#s(literal 0 binary64)

soundness3.1s (30.6%)

Rules

1032×	`unsub-neg`
917×	`fma-neg`
792×	`times-frac`
722×	`fma-neg`
679×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	942	29893
1	2387	25450
2	7592	25127
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301
0	857	3407
1	2892	3407
0	28	404
1	512	404
0	422	13495
1	1313	11865
2	3753	11347
0	32	503
1	566	420
2	7105	420
0	687	18951
1	1832	18101
2	7557	18097
0	33	475
1	568	281

Stop Event

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

Compiler

Compiled 2120 to 510 computations (75.9% saved)

preprocess67.0ms (0.7%)

Compiler: Compiled 606 to 244 computations (59.7% saved)

analyze0.0ms (0%)

sample1.3s (12.9%)

preprocess137.0ms (1.3%)

explain107.0ms (1%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify96.0ms (0.9%)

localize113.0ms (1.1%)

series51.0ms (0.5%)

rewrite355.0ms (3.5%)

simplify115.0ms (1.1%)

eval65.0ms (0.6%)

prune91.0ms (0.9%)

simplify17.0ms (0.2%)

localize213.0ms (2.1%)

series28.0ms (0.3%)

rewrite91.0ms (0.9%)

simplify284.0ms (2.8%)

eval85.0ms (0.8%)

prune229.0ms (2.2%)

simplify57.0ms (0.6%)

localize178.0ms (1.7%)

series27.0ms (0.3%)

rewrite191.0ms (1.9%)

simplify336.0ms (3.3%)

eval239.0ms (2.3%)

prune143.0ms (1.4%)

simplify82.0ms (0.8%)

localize160.0ms (1.6%)

series183.0ms (1.8%)

rewrite205.0ms (2%)

simplify564.0ms (5.5%)

eval344.0ms (3.4%)

prune233.0ms (2.3%)

regimes184.0ms (1.8%)

regimes15.0ms (0.1%)

regimes32.0ms (0.3%)

regimes15.0ms (0.1%)

regimes219.0ms (2.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes50.0ms (0.5%)

bsearch15.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch12.0ms (0.1%)

bsearch31.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch20.0ms (0.2%)

bsearch8.0ms (0.1%)

simplify18.0ms (0.2%)

soundness3.1s (30.6%)

preprocess67.0ms (0.7%)

end0.0ms (0%)

Profiling