Metrics for math.cube on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (14.3%)

Results

887.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 632.0ms

ival-mult: 494.0ms (78.1% of total)

ival-sub: 85.0ms (13.4% of total)

ival-add: 43.0ms (6.8% of total)

const: 7.0ms (1.1% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess139.0ms (1.8%)

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)

explain192.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
18	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
18	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
17	-	-	`(-.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))`
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

141.0ms

512×

valid

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

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

ival-mult: 25.0ms (75.8% of total)

ival-sub: 5.0ms (15.2% of total)

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

const: 1.0ms (3% of total)

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.0%	(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)))
▶	81.9%	(-.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))
▶	79.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶	79.6%	(+.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 (1.2%)

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)

localize188.0ms (2.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im #s(literal -2 binary64))
✓	accuracy	93.4%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	87.9%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	accuracy	85.9%	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	accuracy	94.6%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	accuracy	93.4%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	93.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	99.8%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	accuracy	87.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	accuracy	85.9%	(.f64 x.re (.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.7%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	accuracy	87.7%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
✓	accuracy	85.8%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))

Results

153.0ms

256×

valid

Compiler

Compiled 181 to 27 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-pow: 76.0ms (66.6% of total)

ival-mult: 28.0ms (24.5% of total)

ival-add: 4.0ms (3.5% of total)

ival-fma: 3.0ms (2.6% of total)

ival-sub: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

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

series44.0ms (0.6%)

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 x.re x.re) (*.f64 x.im x.im)) x.re)>
#<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 (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 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (.f64 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
2.0ms	x.im	@	inf	(* x.re (* x.im (* x.im -3)))
2.0ms	x.re	@	0	(- (* x.re x.re) (* x.im 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.im	@	0	(* x.re (* x.im (* x.im -3)))

rewrite484.0ms (6.2%)

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 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im 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 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))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
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(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))))
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simplify111.0ms (1.4%)

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	2889	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)))
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(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)))))))
(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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eval72.0ms (0.9%)

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

prune89.0ms (1.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	591	10	601
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	592	13	605

Accuracy

100.0%

Counts

605 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.1%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	82.0%	(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)))
▶	54.1%	(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)))
	81.9%	(-.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))
	81.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (sqrt.f64 (.f64 x.re x.im)) (+.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im)))) x.im))
▶	74.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	86.6%	(-.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))
▶	48.6%	(-.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))
	86.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	79.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	79.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	53.0%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))

Compiler

Compiled 388 to 230 computations (40.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
✓	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 x.re #s(literal -27 binary64))
✓	cost-diff	0	(+.f64 x.im x.re)
✓	cost-diff	0	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
✓	cost-diff	0	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
	cost-diff	0	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	cost-diff	128	(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
✓	cost-diff	128	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
	cost-diff	0	(pow.f64 x.re #s(literal 3 binary64))
	cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	0	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Rules

14×	`*-commutative`
13×	`distribute-lft-in`
11×	`distribute-rgt-in`
10×	`fma-define`
9×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	829
1	90	829
2	214	829

Stop Event

1×

unsound

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 x.im #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
x.im
x.re
(+.f64 x.re #s(literal -27 binary64))
#s(literal -27 binary64)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 x.re x.re)
x.re
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 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)

Outputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (.f64 x.re (-.f64 (.f64 x.re x.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.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)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 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.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))) (.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im))))
(.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 x.re x.re)
x.re
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 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)

localize174.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	100.0%	(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.im)
✓	accuracy	100.0%	(*.f64 x.im x.re)
	accuracy	100.0%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	100.0%	(*.f64 x.re x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(*.f64 x.im #s(literal 0 binary64))
✓	accuracy	100.0%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	accuracy	100.0%	(pow.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x.re x.im)
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))

Results

132.0ms

256×

invalid

Compiler

Compiled 218 to 32 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 29.0ms (48.5% of total)

ival-sub: 10.0ms (16.7% of total)

ival-pow: 9.0ms (15.1% of total)

ival-add: 4.0ms (6.7% of total)

ival-fma: 3.0ms (5% of total)

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

ival-div: 1.0ms (1.7% of total)

const: 1.0ms (1.7% of total)

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

series28.0ms (0.4%)

Counts

13 → 204

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re x.im)>
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))>
#<alt (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))>
#<alt (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)>
#<alt (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.re #s(literal -27 binary64))>
#<alt (.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)>
#<alt (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))>
#<alt (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))>
#<alt (*.f64 x.im #s(literal 0 binary64))>
#<alt (*.f64 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.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (NAN.f64)>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (NAN.f64))>
#<alt (-.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) (NAN.f64))>
#<alt (-.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) (NAN.f64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (NAN.f64) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (NAN.f64) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))>
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#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (pow.f64 x.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 #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)>

Calls

66 calls:

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

rewrite128.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

199×	`log1p-expm1-u`
199×	`expm1-log1p-u`
195×	`add-cube-cbrt`
191×	`add-exp-log`
191×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	378
1	539	378
2	7715	378

Stop Event

1×

unsound

Counts

13 → 414

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
(+.f64 x.re #s(literal -27 binary64))
(.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(*.f64 x.im #s(literal 0 binary64))
(*.f64 x.im x.re)

Outputs
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 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)
#s(literal 8 binary64)
#s(literal 9 binary64)
(+.f64 x.re (*.f64 x.re #s(literal -27 binary64)))
(+.f64 x.re (.f64 (.f64 x.re #s(literal -27 binary64)) #s(literal -3 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 -3 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 -3 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 (+.f64 x.re #s(literal -27 binary64))) x.re))
(log.f64 (+.f64 #s(literal -3 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 -3 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 -3 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 -3 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 -3 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 (+.f64 x.re #s(literal -27 binary64))) x.re))
(log.f64 (+.f64 #s(literal -3 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 -3 binary64)))
(fma.f64 x.re x.re (*.f64 x.re #s(literal -27 binary64)))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x.re #s(literal -27 binary64)))) #s(literal -3 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 -3 binary64))
(*.f64 #s(literal -3 binary64) (+.f64 x.re #s(literal -27 binary64)))
(.f64 (+.f64 x.re #s(literal -19683 binary64)) (/.f64 #s(literal -3 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 -3 binary64) (+.f64 x.re #s(literal 27 binary64))))
(/.f64 #s(literal -3 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 -3 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 -3 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 -3 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 -3 binary64)))
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -27 binary64))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 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)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 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)
#s(literal 8 binary64)
#s(literal 9 binary64)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))

simplify316.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

941×	`fma-define`
479×	`distribute-lft-in`
444×	`distribute-rgt-in`
327×	`*-commutative`
309×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	352	12174
1	997	11391
2	2655	10420

Stop Event

1×	node limit

Counts

618 → 360

Calls

Call 1

Inputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(.f64 x.im (+.f64 (.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
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(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 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)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 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)
#s(literal 8 binary64)
#s(literal 9 binary64)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -3 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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))

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 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 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 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 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 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.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 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (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 (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 (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 #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 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.re)))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (.f64 x.re (+.f64 x.im x.re)))
(+.f64 (.f64 x.im (.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 x.im x.re)))
(.f64 (+.f64 x.re #s(literal -27 binary64)) (.f64 x.re (+.f64 x.im x.re)))
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(expm1.f64 (log1p.f64 (+.f64 x.re #s(literal -27 binary64))))
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(+.f64 #s(literal -1 binary64) (+.f64 x.re #s(literal -26 binary64)))
(log1p.f64 (expm1.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 x.re #s(literal -27 binary64))
(exp.f64 (log.f64 (+.f64 x.re #s(literal -27 binary64))))
(+.f64 x.re #s(literal -27 binary64))
(exp.f64 (*.f64 (log.f64 (+.f64 x.re #s(literal -27 binary64))) #s(literal -3 binary64)))
(pow.f64 (+.f64 x.re #s(literal -27 binary64)) #s(literal -3 binary64))
(fma.f64 x.re x.re #s(literal -27 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -27 binary64))
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (fma.f64 x.re #s(literal -1 binary64) #s(literal 1 binary64)) x.re x.re)
(*.f64 x.re (+.f64 (neg.f64 x.re) #s(literal 2 binary64)))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 (.f64 #s(literal 2 binary64) x.re) (.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 5 binary64))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re)
(+.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 4 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(-.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -3 binary64))
(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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(*.f64 x.re #s(literal -4 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal 9 binary64) (neg.f64 x.re))
(-.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (fma.f64 x.re #s(literal -1 binary64) #s(literal 1 binary64)) x.re x.re)
(*.f64 x.re (+.f64 (neg.f64 x.re) #s(literal 2 binary64)))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 (.f64 #s(literal 2 binary64) x.re) (.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 5 binary64))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re)
(+.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 4 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(-.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
(*.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -3 binary64))
(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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(*.f64 x.re #s(literal -4 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal 9 binary64) (neg.f64 x.re))
(-.f64 #s(literal 9 binary64) x.re)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 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)
#s(literal 8 binary64)
#s(literal 9 binary64)
#s(literal -3 binary64)
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 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)
#s(literal 8 binary64)
#s(literal 9 binary64)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (fma.f64 x.re #s(literal -1 binary64) #s(literal 1 binary64)) x.re x.re)
(*.f64 x.re (+.f64 (neg.f64 x.re) #s(literal 2 binary64)))
(+.f64 x.re (fma.f64 #s(literal -3 binary64) x.re x.re))
(+.f64 x.re (*.f64 #s(literal -2 binary64) x.re))
(neg.f64 x.re)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re))
(+.f64 (.f64 #s(literal 2 binary64) x.re) (.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 5 binary64))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -3 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -3 binary64) x.re)
(+.f64 x.re (*.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re #s(literal 4 binary64))
(+.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (neg.f64 x.re))
(-.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -3 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -3 binary64))
(+.f64 x.re #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -3 binary64))
(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 -3 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 #s(literal -3 binary64) (exp.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re #s(literal -3 binary64))
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 #s(literal -3 binary64) x.re)
(hypot.f64 x.re #s(literal -3 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -3 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 x.re #s(literal -3 binary64) x.re)
(fma.f64 #s(literal -3 binary64) x.re x.re)
(*.f64 #s(literal -2 binary64) x.re)
(*.f64 x.re #s(literal -2 binary64))
(fma.f64 #s(literal -3 binary64) x.re #s(literal -3 binary64))
(fma.f64 #s(literal -3 binary64) x.re (neg.f64 x.re))
(*.f64 x.re #s(literal -4 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) x.re)
(+.f64 #s(literal 9 binary64) x.re)
(+.f64 x.re #s(literal 9 binary64))
(fma.f64 #s(literal -3 binary64) #s(literal -3 binary64) (neg.f64 x.re))
(+.f64 #s(literal 9 binary64) (neg.f64 x.re))
(-.f64 #s(literal 9 binary64) x.re)

eval68.0ms (0.9%)

Compiler: Compiled 10569 to 1822 computations (82.8% saved)

prune99.0ms (1.3%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	575	22	597
Fresh	2	3	5
Picked	2	3	5
Done	1	2	3
Total	580	30	610

Accuracy

100.0%

Counts

610 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.7%	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	88.1%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	82.0%	(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)))
✓	54.1%	(pow.f64 x.re #s(literal 3 binary64))
	2.8%	(/.f64 #s(literal -3 binary64) x.re)
	23.0%	(-.f64 (+.f64 #s(literal -27 binary64) (.f64 x.re #s(literal -25 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	81.9%	(-.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))
	81.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (sqrt.f64 (.f64 x.re x.im)) (+.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im)))) x.im))
▶	47.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	47.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
✓	74.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	34.2%	(-.f64 (.f64 (.f64 x.im x.re) #s(literal -27 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	34.2%	(-.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))
	24.4%	(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	34.2%	(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	14.4%	(-.f64 x.re x.re)
▶	4.4%	(-.f64 x.re #s(literal 1 binary64))
	2.9%	(-.f64 #s(literal -3 binary64) x.re)
	23.1%	(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	86.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	79.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	7.4%	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
	53.0%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
	53.0%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
	33.4%	(*.f64 x.re x.re)
	3.2%	(*.f64 x.re #s(literal -1/3 binary64))
	3.2%	(*.f64 x.re #s(literal -3 binary64))
	53.0%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
	3.2%	(neg.f64 x.re)
▶	2.6%	#s(literal 1 binary64)

Compiler

Compiled 620 to 396 computations (36.1% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x.re x.im) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	-6336	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	cost-diff	-6336	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	cost-diff	0	(*.f64 x.im x.im)
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(-.f64 x.re #s(literal 1 binary64))
✓	cost-diff	0	(cbrt.f64 (*.f64 x.im #s(literal -3 binary64)))
	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))
✓	cost-diff	12864	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Rules

652×	`unsub-neg`
576×	`sub-neg`
538×	`fma-define`
407×	`fma-neg`
394×	`distribute-lft-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	475
1	73	475
2	155	475
3	400	469
4	924	469
5	2821	466
6	5147	466
7	7047	466

Stop Event

1×	node limit

Calls

Call 1

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

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

localize352.0ms (4.5%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
✓	accuracy	97.1%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	95.9%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	95.9%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	accuracy	100.0%	(-.f64 x.re #s(literal 1 binary64))
	accuracy	100.0%	(*.f64 x.im #s(literal -3 binary64))
✓	accuracy	99.4%	(cbrt.f64 (*.f64 x.im #s(literal -3 binary64)))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))
✓	accuracy	93.0%	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Results

186.0ms	85×	5	exit
121.0ms	171×	0	valid

Compiler

Compiled 138 to 23 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-pow: 35.0ms (33.7% of total)

ival-mult: 22.0ms (21.2% of total)

backward-pass: 20.0ms (19.2% of total)

ival-cbrt: 10.0ms (9.6% of total)

ival-fma: 8.0ms (7.7% of total)

ival-sub: 7.0ms (6.7% of total)

const: 2.0ms (1.9% of total)

series75.0ms (1%)

Counts

8 → 153

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
50.0ms	x.re	@	inf	(* (* x.re x.im) 2)
2.0ms	x.re	@	0	(+ (* (* x.re x.im) (pow (cbrt (* x.im -3)) 3)) (pow x.re 3))
2.0ms	x.im	@	-inf	(+ (* (* x.re x.im) (pow (cbrt (* x.im -3)) 3)) (pow x.re 3))
2.0ms	x.im	@	inf	(cbrt (* x.im -3))
2.0ms	x.im	@	0	(cbrt (* x.im -3))

rewrite196.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1217×	`log1p-expm1-u`
333×	`expm1-log1p-u`
180×	`add-cube-cbrt`
178×	`pow1`
177×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	223
1	435	219
2	5702	219

Stop Event

1×	node limit

Counts

8 → 221

Calls

Call 1

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

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

simplify344.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

974×	`times-frac`
722×	`fma-neg`
362×	`associate-r`
334×	`associate-l`
242×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	567	14974
1	1312	13724
2	4843	13694

Stop Event

1×	node limit

Counts

374 → 339

Calls

Call 1

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

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

eval110.0ms (1.4%)

Compiler: Compiled 12505 to 1674 computations (86.6% saved)

prune251.0ms (3.2%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	618	8	626
Fresh	2	18	20
Picked	2	3	5
Done	1	4	5
Total	623	33	656

Accuracy

100.0%

Counts

656 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.7%	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	87.7%	(fma.f64 (.f64 x.re x.im) (.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
▶	88.0%	(fma.f64 (.f64 x.re x.im) (.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	88.1%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	82.0%	(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)))
✓	54.1%	(pow.f64 x.re #s(literal 3 binary64))
	2.8%	(/.f64 #s(literal -3 binary64) x.re)
	23.0%	(-.f64 (+.f64 #s(literal -27 binary64) (.f64 x.re #s(literal -25 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	81.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (pow.f64 (cbrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) x.im))
✓	81.9%	(-.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))
✓	47.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
▶	47.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
	74.5%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
	34.2%	(-.f64 (.f64 (.f64 x.im x.re) #s(literal -27 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	34.2%	(-.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))
	24.4%	(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	34.2%	(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	14.4%	(-.f64 x.re x.re)
	2.9%	(-.f64 #s(literal -3 binary64) x.re)
	23.1%	(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	86.0%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	79.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	7.4%	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
	53.0%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	53.0%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
▶	33.4%	(*.f64 x.re x.re)
	3.2%	(*.f64 x.re #s(literal -1/3 binary64))
	3.2%	(*.f64 x.re #s(literal -3 binary64))
▶	53.0%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
	3.2%	(neg.f64 x.re)
	4.2%	x.re
	2.9%	#s(literal -1/2 binary64)
▶	2.9%	#s(literal -1 binary64)

Compiler

Compiled 649 to 430 computations (33.7% saved)

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x.im #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
✓	cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
✓	cost-diff	-18944	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
	cost-diff	-6336	(*.f64 x.im x.im)
	cost-diff	-6336	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	cost-diff	0	(*.f64 x.re x.re)
	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))
	cost-diff	0	(*.f64 x.re x.im)
✓	cost-diff	6592	(fma.f64 (.f64 x.re x.im) (.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	12928	(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))

Rules

523×	`sub-neg`
419×	`distribute-lft-in`
358×	`associate-+l-`
355×	`fma-define`
316×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	356
1	57	322
2	102	319
3	246	316
4	676	316
5	1773	313
6	2913	313
7	5051	313
8	6493	313

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re x.im) (.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))
#s(literal -3 binary64)
(sqrt.f64 x.im)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1 binary64)
(*.f64 x.re x.re)
x.re
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
#s(literal 1/4 binary64)
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -3 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
x.re

Outputs
(fma.f64 (.f64 x.re x.im) (.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.im) (.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x.im) (sqrt.f64 x.im))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 x.im) (sqrt.f64 x.im)))
(*.f64 x.im #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))
#s(literal -3 binary64)
(sqrt.f64 x.im)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1 binary64)
(*.f64 x.re x.re)
x.re
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(fma.f64 (-.f64 (*.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64))) x.re #s(literal -1/4 binary64))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(.f64 x.re (-.f64 (.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
(-.f64 (*.f64 x.re x.re) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 1/4 binary64)
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
#s(literal -3 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
x.re

localize329.0ms (4.2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x.im #s(literal 2 binary64))
✓	accuracy	99.8%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
✓	accuracy	91.2%	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
	accuracy	95.9%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	accuracy	95.9%	(.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%	(sqrt.f64 x.im)
✓	accuracy	99.7%	(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))
✓	accuracy	99.7%	(*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))
✓	accuracy	93.0%	(fma.f64 (.f64 x.re x.im) (.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))

Results

159.0ms	85×	5	exit
138.0ms	171×	0	valid

Compiler

Compiled 100 to 22 computations (78% saved)

Precisions

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

ival-fma: 106.0ms (47.1% of total)

ival-mult: 77.0ms (34.2% of total)

backward-pass: 19.0ms (8.4% of total)

ival-pow: 10.0ms (4.4% of total)

ival-sqrt: 8.0ms (3.6% of total)

ival-sub: 3.0ms (1.3% of total)

const: 1.0ms (0.4% of total)

series14.0ms (0.2%)

Counts

8 → 68

Calls

Call 1

Inputs
#<alt (.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))>
#<alt (fma.f64 (.f64 x.re x.im) (.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))>
#<alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 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)) x.re)>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (sqrt.f64 x.im)>

Outputs
#<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 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 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)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt #s(literal -1/4 binary64)>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) #s(literal 1/4 binary64))>
#<alt (-.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1/4 binary64))>
#<alt (-.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1/4 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 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x.re)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x.re)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x.re #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 (/.f64 #s(literal 1/4 binary64) (pow.f64 x.re #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 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1/4 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1/4 binary64))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.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) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.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) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.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) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.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) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>

Calls

36 calls:

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

rewrite217.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`log1p-expm1-u`
963×	`expm1-log1p-u`
288×	`fma-neg`
173×	`associate-r`
149×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	161
1	367	161
2	4539	161

Stop Event

1×	node limit

Counts

8 → 165

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im))
(fma.f64 (.f64 x.re x.im) (.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(pow.f64 x.im #s(literal 2 binary64))
(sqrt.f64 x.im)

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

simplify170.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

482×	`distribute-lft-in`
480×	`distribute-rgt-in`
273×	`associate-r`
266×	`cancel-sign-sub-inv`
247×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	7999
1	877	7160
2	2885	7092

Stop Event

1×	node limit

Counts

233 → 240

Calls

Call 1

Inputs
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(*.f64 #s(literal -3 binary64) x.im)
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(literal -1/4 binary64)
(-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) #s(literal 1/4 binary64))
(-.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1/4 binary64))
(-.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1/4 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 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x.re)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x.re)) (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 (/.f64 #s(literal 1/4 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1/4 binary64))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1/4 binary64))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1/4 binary64))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1/4 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 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 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 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x.im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) x.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -3 binary64) x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) x.im)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -3 binary64)) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -3 binary64) x.im))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x.im) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) x.im)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -3 binary64) x.im)))
(exp.f64 (log.f64 (*.f64 #s(literal -3 binary64) x.im)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -3 binary64) x.im)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
(+.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re)) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))))
(.f64 (cbrt.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re)) (neg.f64 (pow.f64 x.re #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re) (neg.f64 (pow.f64 x.re #s(literal 3 binary64)))))
(pow.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (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.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 (.f64 x.im x.re) (.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x.im #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x.im)) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))))
(exp.f64 (log.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -3 binary64) (sqrt.f64 x.im))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(*.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))) #s(literal -1/4 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))) #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64))) (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 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)) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 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 #s(literal 1/16 binary64) (.f64 x.re (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/4 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)) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 x.re (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/4 binary64))))) (+.f64 (pow.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -1/64 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/4 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)) #s(literal -1/16 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)) #s(literal -1/64 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 #s(literal 1/16 binary64) (.f64 x.re (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/4 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)) #s(literal -1/64 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 #s(literal 1/16 binary64) (.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1/4 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)) #s(literal -1/16 binary64)) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -1/64 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 x.re (.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1/16 binary64))) (neg.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 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))) #s(literal -1/4 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 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))) #s(literal -1/4 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))) #s(literal -1/4 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))) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1/4 binary64))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re #s(literal -1/4 binary64))
(fma.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal -1/4 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)))) #s(literal -1/4 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re) #s(literal -1/4 binary64))
(fma.f64 (cbrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal -1/4 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re) #s(literal -1/4 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))))) #s(literal -1/4 binary64))
(fma.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x.re (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x.re (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -1/4 binary64))
(fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) #s(literal -1/4 binary64))
(fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re) #s(literal -1/4 binary64))
(fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (sqrt.f64 x.re) #s(literal -1/4 binary64))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 9 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 #s(literal -3 binary64) (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 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))))
(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))
(*.f64 x.im x.im)
(*.f64 (sqrt.f64 x.im) (pow.f64 x.im #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) x.im))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (sqrt.f64 x.im))
(.f64 (.f64 x.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 x.im))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x.im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x.im))
(*.f64 (cbrt.f64 (sqrt.f64 x.im)) (cbrt.f64 x.im))
(*.f64 (cbrt.f64 x.im) (cbrt.f64 (sqrt.f64 x.im)))
(*.f64 (pow.f64 x.im #s(literal 1/4 binary64)) (pow.f64 x.im #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x.im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 x.im)))
(pow.f64 x.im #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 x.im))
(log.f64 (exp.f64 (sqrt.f64 x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 x.im))))
(cbrt.f64 (pow.f64 x.im #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 x.im)))
(log1p.f64 (expm1.f64 (sqrt.f64 x.im)))
(exp.f64 (log.f64 (sqrt.f64 x.im)))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x.im)) #s(literal 1 binary64)))

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

eval54.0ms (0.7%)

Compiler: Compiled 6467 to 1257 computations (80.6% saved)

prune105.0ms (1.4%)

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	412	5	417
Fresh	8	13	21
Picked	2	3	5
Done	2	5	7
Total	424	26	450

Accuracy

100.0%

Counts

450 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.7%	(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
	87.7%	(fma.f64 (.f64 x.re x.im) (.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
✓	88.0%	(fma.f64 (.f64 x.re x.im) (.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓	54.1%	(pow.f64 x.re #s(literal 3 binary64))
	2.8%	(/.f64 #s(literal -3 binary64) x.re)
	81.8%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (pow.f64 (cbrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) x.im))
✓	81.9%	(-.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))
✓	47.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
	14.4%	(-.f64 x.re x.re)
	2.9%	(-.f64 #s(literal -3 binary64) x.re)
	23.1%	(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	86.2%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
✓	79.6%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	7.4%	(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
	53.0%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal -3 binary64)))
	53.0%	(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
✓	33.4%	(*.f64 x.re x.re)
	3.2%	(*.f64 x.re #s(literal -1/3 binary64))
	3.2%	(*.f64 x.re #s(literal -3 binary64))
	59.3%	(.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)))
	53.0%	(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
	45.6%	(.f64 #s(literal -3 binary64) (.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re))
	3.2%	(neg.f64 x.re)
	4.2%	x.re
	2.9%	#s(literal -1/4 binary64)
✓	2.9%	#s(literal -1 binary64)

Compiler

Compiled 739 to 305 computations (58.7% saved)

regimes44.0ms (0.6%)

Counts

49 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 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 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 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) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im x.re) #s(literal -27 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) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal -27 binary64) (.f64 x.re #s(literal -25 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) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (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 (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 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
(+.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 #s(literal -3 binary64) (.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re))
(.f64 #s(literal -3 binary64) (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)))
(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (.f64 (.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 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 (pow.f64 (cbrt.f64 (.f64 x.im (.f64 x.re #s(literal 2 binary64)))) #s(literal 3 binary64)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (sqrt.f64 (.f64 x.re x.im)) (+.f64 (sqrt.f64 (.f64 x.re x.im)) (sqrt.f64 (.f64 x.re x.im)))) x.im))
(fma.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.im) (.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 x.im)) (sqrt.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (.f64 x.re x.im) (.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))

Outputs

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

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

(*.f64 x.re x.re)

Calls

3 calls:

15.0ms	x.re
14.0ms	x.im
12.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
96.7%	3	`x.re`
94.7%	2	`x.im`
95.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes74.0ms (1%)

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 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 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 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) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im x.re) #s(literal -27 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) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal -27 binary64) (.f64 x.re #s(literal -25 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) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 (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 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

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

Calls

3 calls:

53.0ms	x.im
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
86.6%	1	`x.im`
88.6%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
90.2%	2	`x.re`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes17.0ms (0.2%)

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 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 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 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) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im x.re) #s(literal -27 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) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal -27 binary64) (.f64 x.re #s(literal -25 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) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (.f64 (.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

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

Calls

2 calls:

8.0ms	x.re
8.0ms	x.im

Results

Accuracy	Segments	Branch
87.6%	2	`x.im`
87.8%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes51.0ms (0.7%)

Counts

24 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 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 1/4 binary64))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/2 binary64))
(-.f64 (.f64 x.re #s(literal -26 binary64)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 x.im (.f64 x.re #s(literal -27 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) (*.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.im x.re) #s(literal -27 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) (/.f64 (.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (+.f64 #s(literal -27 binary64) (.f64 x.re #s(literal -25 binary64))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Outputs
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(*.f64 x.re x.re)

Calls

2 calls:

7.0ms	x.re
7.0ms	x.im

Results

Accuracy	Segments	Branch
63.4%	2	`x.im`
79.2%	3	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))
(.f64 #s(literal -3 binary64) (.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal -26 binary64) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))

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

Calls

1 calls:

5.0ms

x.re

Results

Accuracy	Segments	Branch
70.1%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)
(+.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x.re) x.re))

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

Calls

2 calls:

6.0ms	x.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
37.8%	2	`x.im`
36.6%	2	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -3 binary64) x.re)

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

Calls

2 calls:

5.0ms	x.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
36.6%	2	`x.re`
33.4%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -3 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))

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

Calls

1 calls:

4.0ms

x.re

Results

Accuracy	Segments	Branch
33.4%	1	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
x.re
(neg.f64 x.re)
(*.f64 x.re #s(literal -3 binary64))
(*.f64 x.re #s(literal -1/3 binary64))

Outputs
x.re

Calls

2 calls:

4.0ms	x.re
3.0ms	x.im

Results

Accuracy	Segments	Branch
4.2%	1	`x.im`
4.2%	1	`x.re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.0b remaining (-1.6%)

Threshold costs -1b (-1.6%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
2.9%	1	`x.re`
2.9%	1	`x.im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
15.0ms	2.6860648453546802e+206	1.437340426838285e+208
6.0ms	2.158547758429348e+70	1.2333390039878769e+73

Results

16.0ms

160×

valid

Compiler

Compiled 330 to 193 computations (41.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 9.0ms (80.1% of total)

ival-sub: 1.0ms (8.9% of total)

ival-add: 1.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.6860648453546802e+206	1.437340426838285e+208

Results

9.0ms

112×

valid

Compiler

Compiled 222 to 127 computations (42.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (78.5% of total)

ival-sub: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

bsearch77.0ms (1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
75.0ms	4.699361922788536e+153	1.9812320450359397e+158

Results

11.0ms

128×

valid

Compiler

Compiled 234 to 143 computations (38.9% saved)

Precisions

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

ival-mult: 5.0ms (69% 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)

bsearch28.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.699361922788536e+153	1.9812320450359397e+158
19.0ms	4182856.9469504617	113497642068226.6

Results

16.0ms

192×

valid

Compiler

Compiled 302 to 198 computations (34.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 8.0ms (73.1% of total)

ival-sub: 2.0ms (18.3% of total)

ival-add: 1.0ms (9.1% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.921879769947511e+151	1.1991730026142775e+152

Results

9.0ms

80×

valid

Compiler

Compiled 106 to 70 computations (34% saved)

Precisions

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

ival-sub: 3.0ms (41.6% of total)

ival-mult: 3.0ms (41.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0157956434592919e+194	7.627086277432551e+194

Results

13.0ms

96×

valid

Compiler

Compiled 116 to 81 computations (30.2% saved)

Precisions

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

ival-add: 5.0ms (48.9% of total)

ival-mult: 4.0ms (39.1% of total)

ival-sub: 1.0ms (9.8% 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
13.0ms	6.508673215385366e-71	6.084827453436469e-69

Results

10.0ms

112×

valid

Compiler

Compiled 110 to 71 computations (35.5% saved)

Precisions

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

ival-mult: 5.0ms (75.3% of total)

ival-sub: 1.0ms (15.1% of total)

ival-add: 1.0ms (15.1% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative`
21×	`+-commutative`
17×	`sub-neg`
11×	`neg-sub0`
11×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	641
1	110	637
2	151	637
3	177	637
4	189	637
5	191	637

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re))) (if (<=.f64 x.re #s(literal 720000000000000056518629696922359787048630730552275276589655320758876885003524493564645547430953115650705584979547984314257263237112996135713336752589623859631062269354680670095845196566778750797083834318848 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 1259999999999999991975399994093929190432644269865903806846853672689911175806343225473867976550791706156403258463316790238021080033828821893231822409795013670307609290381296135511603913673153046327532829278208 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 7500000 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (if (<=.f64 x.re #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/4 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 116000000000000007225832571845625029647691424171575926595912806913010396674999304973561344633654656868157098269802768921018556631880487993944892499820544 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 x.re x.re))
(if (<=.f64 x.im #s(literal 399999999999999977863869755018784683065311503640472948595884460471417406452712536274477508433826017624018112358745658838154250997959106484708460014918698592321517890213709695617850834403219996672 binary64)) (.f64 x.re x.re) (+.f64 #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)))
(if (<=.f64 x.re #s(literal 4468138452119177/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(literal -1 binary64)

Outputs
(if (<=.f64 x.re #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.im x.re))) (if (<=.f64 x.re #s(literal 720000000000000056518629696922359787048630730552275276589655320758876885003524493564645547430953115650705584979547984314257263237112996135713336752589623859631062269354680670095845196566778750797083834318848 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 999999999999999943801810948794571024057224129020550531544123892056457216 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 #s(literal -3 binary64) x.im) (.f64 x.re x.im))) (if (<=.f64 x.re #s(literal 720000000000000056518629696922359787048630730552275276589655320758876885003524493564645547430953115650705584979547984314257263237112996135713336752589623859631062269354680670095845196566778750797083834318848 binary64)) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 1259999999999999991975399994093929190432644269865903806846853672689911175806343225473867976550791706156403258463316790238021080033828821893231822409795013670307609290381296135511603913673153046327532829278208 binary64)) (-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 1259999999999999991975399994093929190432644269865903806846853672689911175806343225473867976550791706156403258463316790238021080033828821893231822409795013670307609290381296135511603913673153046327532829278208 binary64)) (-.f64 (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (.f64 (.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 7500000 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (if (<=.f64 x.re #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(literal 1/4 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 7500000 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (if (<=.f64 x.re #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) #s(literal 1/4 binary64)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 116000000000000007225832571845625029647691424171575926595912806913010396674999304973561344633654656868157098269802768921018556631880487993944892499820544 binary64)) (.f64 #s(literal -3 binary64) (.f64 (.f64 x.im x.im) x.re)) (.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 116000000000000007225832571845625029647691424171575926595912806913010396674999304973561344633654656868157098269802768921018556631880487993944892499820544 binary64)) (.f64 #s(literal -3 binary64) (.f64 x.re (.f64 x.im x.im))) (.f64 x.re x.re))
(if (<=.f64 x.im #s(literal 399999999999999977863869755018784683065311503640472948595884460471417406452712536274477508433826017624018112358745658838154250997959106484708460014918698592321517890213709695617850834403219996672 binary64)) (.f64 x.re x.re) (+.f64 #s(literal -3 binary64) (.f64 (neg.f64 x.re) x.re)))
(if (<=.f64 x.im #s(literal 399999999999999977863869755018784683065311503640472948595884460471417406452712536274477508433826017624018112358745658838154250997959106484708460014918698592321517890213709695617850834403219996672 binary64)) (.f64 x.re x.re) (+.f64 #s(literal -3 binary64) (.f64 x.re (neg.f64 x.re))))
(if (<=.f64 x.im #s(literal 399999999999999977863869755018784683065311503640472948595884460471417406452712536274477508433826017624018112358745658838154250997959106484708460014918698592321517890213709695617850834403219996672 binary64)) (.f64 x.re x.re) (-.f64 #s(literal -3 binary64) (.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 4468138452119177/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(literal -1 binary64)

soundness1.4s (18.1%)

Rules

1217×	`log1p-expm1-u`
1032×	`unsub-neg`
963×	`log1p-expm1-u`
963×	`expm1-log1p-u`
941×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	12174
1	997	11391
2	2655	10420
0	34	378
1	539	378
2	7715	378
0	32	503
1	566	420
2	7105	420
0	29	223
1	435	219
2	5702	219
0	27	161
1	367	161
2	4539	161
0	42	591
1	149	519
2	395	483
3	1504	301
4	4596	301
5	6840	301
6	7603	301

Stop Event

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

Compiler

Compiled 895 to 256 computations (71.4% saved)

preprocess153.0ms (2%)

Remove: (abs x.im)
Compiler: Compiled 1180 to 574 computations (51.4% saved)

analyze0.0ms (0%)

sample1.1s (14.3%)

preprocess139.0ms (1.8%)

explain192.0ms (2.5%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify96.0ms (1.2%)

localize188.0ms (2.4%)

series44.0ms (0.6%)

rewrite484.0ms (6.2%)

simplify111.0ms (1.4%)

eval72.0ms (0.9%)

prune89.0ms (1.1%)

simplify13.0ms (0.2%)

localize174.0ms (2.2%)

series28.0ms (0.4%)

rewrite128.0ms (1.7%)

simplify316.0ms (4.1%)

eval68.0ms (0.9%)

prune99.0ms (1.3%)

simplify98.0ms (1.3%)

localize352.0ms (4.5%)

series75.0ms (1%)

rewrite196.0ms (2.5%)

simplify344.0ms (4.4%)

eval110.0ms (1.4%)

prune251.0ms (3.2%)

simplify97.0ms (1.2%)

localize329.0ms (4.2%)

series14.0ms (0.2%)

rewrite217.0ms (2.8%)

simplify170.0ms (2.2%)

eval54.0ms (0.7%)

prune105.0ms (1.4%)

regimes44.0ms (0.6%)

regimes74.0ms (1%)

regimes17.0ms (0.2%)

regimes51.0ms (0.7%)

regimes7.0ms (0.1%)

regimes12.0ms (0.2%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch23.0ms (0.3%)

bsearch14.0ms (0.2%)

bsearch77.0ms (1%)

bsearch28.0ms (0.4%)

bsearch13.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch16.0ms (0.2%)

simplify13.0ms (0.2%)

soundness1.4s (18.1%)

preprocess153.0ms (2%)

end0.0ms (0%)

Profiling