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

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.4s (24.3%)

Results

651.0ms	4638×	256	valid
613.0ms	3617×	256	infinite
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 637.0ms

Operation ival-mult, time spent: 476.0ms, 75.0% of total-time

Operation ival-sub, time spent: 96.0ms, 15.0% of total-time

Operation ival-add, time spent: 57.0ms, 9.0% of total-time

Operation const, time spent: 8.0ms, 1.0% of total-time

Bogosity

preprocess273.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

2064×	`unsub-neg`
1136×	`fma-define`
840×	`sub-neg`
776×	`distribute-lft-out`
744×	`distribute-lft-in`

FPErrors

Click to see full error table

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

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)

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

Operation ival-mult, time spent: 25.0ms, 70.0% of total-time

Operation ival-sub, time spent: 7.0ms, 20.0% of total-time

Operation ival-add, time spent: 2.0ms, 6.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 65 to 39 computations (40% saved)

localize354.0ms (6.2%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	95.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	89.9%	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓	88.1%	(fma.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
✓	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	95.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	94.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	93.3%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	99.8%	(.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓	89.9%	(.f64 x.re (.f64 x.im x.im))
✓	88.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓	99.8%	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
✓	89.8%	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓	88.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Compiler

Compiled 181 to 59 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

Operation ival-mult, time spent: 183.0ms, 86.0% of total-time

Operation ival-pow, time spent: 15.0ms, 7.0% of total-time

Operation ival-add, time spent: 5.0ms, 2.0% of total-time

Operation composed, time spent: 4.0ms, 2.0% of total-time

Operation ival-sub, time spent: 3.0ms, 1.0% of total-time

Operation const, time spent: 3.0ms, 1.0% of total-time

series63.0ms (1.1%)

Counts

13 → 300

Calls

75 calls:

Time	Variable		Point	Expression
4.0ms	x.im	@	0	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
3.0ms	x.im	@	inf	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
3.0ms	x.im	@	-inf	(.f64 x.re (.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
2.0ms	x.im	@	inf	(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)))
2.0ms	x.re	@	0	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

rewrite727.0ms (12.7%)

Algorithm

1×	batch-egg-rewrite

Rules

679×	`log1p-expm1-u`
550×	`associate-r`
332×	`associate-l`
240×	`prod-diff`
220×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	451
1	566	388
2	7104	388

Stop Event

1×	node limit

Counts

13 → 367

Calls

Call 1

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

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

simplify289.0ms (5%)

Algorithm

1×	egg-herbie

Rules

204×	`*-commutative`
132×	`+-commutative`
88×	`sub-neg`
68×	`fma-undefine`
52×	`cube-mult`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	639	27439
1	1627	27439

Stop Event

1×

unsound

Counts

667 → 388

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

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

eval202.0ms (3.5%)

Compiler: Compiled 10314 to 6519 computations (36.8% saved)

prune76.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	449	8	457
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	452	9	461

Accuracy

100.0%

Counts

461 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.5%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.2%	(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)))
▶	58.6%	(pow.f64 x.re #s(literal 3 binary64))
	65.6%	(-.f64 (.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	72.6%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
	86.5%	(-.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))
▶	86.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
▶	52.3%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
	52.3%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))

Compiler

Compiled 226 to 148 computations (34.5% saved)

localize184.0ms (3.2%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
✓	99.6%	(*.f64 x.im (sqrt.f64 x.re))
✓	99.6%	(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
✓	88.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓	89.4%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
	95.5%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
	94.8%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓	89.8%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Compiler

Compiled 138 to 66 computations (52.2% saved)

Precisions

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

Operation ival-mult, time spent: 29.0ms, 37.0% of total-time

Operation ival-pow, time spent: 29.0ms, 37.0% of total-time

Operation ival-sub, time spent: 8.0ms, 10.0% of total-time

Operation composed, time spent: 4.0ms, 5.0% of total-time

Operation const, time spent: 4.0ms, 5.0% of total-time

Operation ival-add, time spent: 3.0ms, 4.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 3.0% of total-time

series51.0ms (0.9%)

Counts

6 → 112

Calls

36 calls:

Time	Variable		Point	Expression
18.0ms	x.re	@	0	(*.f64 x.im (sqrt.f64 x.re))
5.0ms	x.re	@	inf	(*.f64 x.im (sqrt.f64 x.re))
4.0ms	x.re	@	inf	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
1.0ms	x.re	@	-inf	(+.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)))
1.0ms	x.re	@	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)))

rewrite140.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`fma-neg`
747×	`log1p-expm1-u`
747×	`expm1-log1p-u`
342×	`associate-r`
232×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	170
1	377	142
2	5285	134

Stop Event

1×	node limit

Counts

6 → 229

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

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

simplify333.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1426×	`fma-define`
1254×	`times-frac`
804×	`exp-prod`
700×	`cube-prod`
500×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	11285
1	717	10774
2	2163	10526
3	6781	10526

Stop Event

1×	node limit

Counts

341 → 208

Calls

Call 1

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

Outputs
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (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 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 x.re (+.f64 (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 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 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (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 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -3 binary64) (/.f64 (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 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (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)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (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)) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (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)) (pow.f64 (neg.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 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #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 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 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 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 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 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 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 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 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 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(.f64 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 #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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(exp.f64 (+.f64 (log.f64 (.f64 x.re x.im)) (log.f64 (.f64 x.im #s(literal -3 binary64)))))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal -3 binary64) (.f64 (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 (exp.f64 (log1p.f64 (*.f64 x.im (sqrt.f64 x.re)))) #s(literal 1 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(pow.f64 (cbrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 3 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(pow.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(pow.f64 (sqrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 2 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 1 binary64))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(sqrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(fabs.f64 (*.f64 x.im (sqrt.f64 x.re)))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(log.f64 (pow.f64 (exp.f64 x.im) (sqrt.f64 x.re)))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (sqrt.f64 x.re)))))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(cbrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (sqrt.f64 x.re))))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(log1p.f64 (expm1.f64 (*.f64 x.im (sqrt.f64 x.re))))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(exp.f64 (log.f64 (*.f64 x.im (sqrt.f64 x.re))))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(exp.f64 (.f64 (log.f64 (.f64 x.im (sqrt.f64 x.re))) #s(literal 1 binary64)))
(neg.f64 (.f64 x.im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re))))
(.f64 (sqrt.f64 x.re) (.f64 #s(literal 1 binary64) x.im))
(*.f64 x.im (sqrt.f64 x.re))
(+.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 #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 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re #s(literal 2 binary64) (*.f64 x.re #s(literal 2 binary64)))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (fma.f64 x.re #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x.re))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 x.re #s(literal 4 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal 5 binary64)))
(+.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (.f64 (*.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 #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 x.re (.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (.f64 (fma.f64 x.re #s(literal 2 binary64) (*.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (fma.f64 x.re #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x.re))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (.f64 x.re #s(literal 4 binary64))))
(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.re #s(literal 5 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(pow.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(sqrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(cbrt.f64 (.f64 (pow.f64 (.f64 x.re 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 x.re) #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 3 binary64)) #s(literal -27 binary64)))
(cbrt.f64 (.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #s(literal -27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(exp.f64 (.f64 (log.f64 (.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(exp.f64 (+.f64 (log.f64 (.f64 x.re x.im)) (log.f64 (.f64 x.im #s(literal -3 binary64)))))
(.f64 x.re (.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(.f64 #s(literal -3 binary64) (.f64 (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))

eval110.0ms (1.9%)

Compiler: Compiled 4989 to 3341 computations (33% saved)

prune60.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	308	5	313
Fresh	1	2	3
Picked	3	2	5
Done	0	1	1
Total	312	10	322

Accuracy

100.0%

Counts

322 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.5%	(fma.f64 (.f64 (.f64 x.re x.im) #s(literal -3 binary64)) x.im (pow.f64 x.re #s(literal 3 binary64)))
✓	88.5%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
▶	93.1%	(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.2%	(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)))
✓	58.6%	(pow.f64 x.re #s(literal 3 binary64))
▶	86.5%	(-.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))
▶	77.6%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64))
	86.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
▶	52.3%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
▶	52.3%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))

Compiler

Compiled 221 to 140 computations (36.7% saved)

localize178.0ms (3.1%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	89.4%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
✓	99.8%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
✓	89.9%	(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
✓	100.0%	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	94.8%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
✓	93.3%	(-.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))
✓	94.8%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
	99.6%	(*.f64 x.im (sqrt.f64 x.re))
✓	99.6%	(.f64 (.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64))
✓	93.6%	(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))

Compiler

Compiled 173 to 51 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

Operation ival-pow, time spent: 30.0ms, 42.0% of total-time

Operation ival-mult, time spent: 24.0ms, 34.0% of total-time

Operation composed, time spent: 4.0ms, 6.0% of total-time

Operation ival-sub, time spent: 4.0ms, 6.0% of total-time

Operation ival-add, time spent: 4.0ms, 6.0% of total-time

Operation const, time spent: 3.0ms, 4.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 3.0% of total-time

series45.0ms (0.8%)

Counts

9 → 168

Calls

54 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	inf	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
3.0ms	x.re	@	inf	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
3.0ms	x.re	@	0	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
1.0ms	x.re	@	inf	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
1.0ms	x.re	@	-inf	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)

rewrite193.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log1p-expm1-u`
514×	`associate-r`
338×	`associate-l`
213×	`expm1-log1p-u`
211×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	336
1	504	258
2	6905	258

Stop Event

1×	node limit

Counts

9 → 221

Calls

Call 1

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

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

simplify118.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

230×	`*-commutative`
116×	`+-commutative`
68×	`sub-neg`
58×	`fma-define`
56×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	533	15041
1	1574	15041

Stop Event

1×

unsound

Counts

389 → 292

Calls

Call 1

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

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

eval239.0ms (4.2%)

Compiler: Compiled 8404 to 4676 computations (44.4% saved)

prune66.0ms (1.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	411	2	413
Fresh	1	1	2
Picked	1	4	5
Done	0	3	3
Total	413	10	423

Accuracy

100.0%

Counts

423 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.5%	(fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	93.1%	(fma.f64 (.f64 x.im (sqrt.f64 x.re)) (.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
✓	84.2%	(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)))
✓	58.6%	(pow.f64 x.re #s(literal 3 binary64))
▶	86.5%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) x.im))
✓	77.6%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64))
▶	86.5%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
▶	86.2%	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
✓	52.3%	(.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) x.re))
✓	52.3%	(.f64 #s(literal -3 binary64) (.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))

Compiler

Compiled 139 to 90 computations (35.3% saved)

localize460.0ms (8%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
✓	99.8%	(.f64 (.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) x.im)
	94.8%	(.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
✓	93.3%	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) x.im))
✓	99.8%	(.f64 (.f64 x.re x.im) x.im)
✓	99.8%	(.f64 (.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64))
✓	88.4%	(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 (.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
✓	99.8%	(.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re)))))
✓	99.3%	(.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓	88.4%	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))

Compiler

Compiled 194 to 96 computations (50.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

Operation ival-mult, time spent: 222.0ms, 65.0% of total-time

Operation ival-add, time spent: 84.0ms, 25.0% of total-time

Operation ival-sub, time spent: 18.0ms, 5.0% of total-time

Operation ival-pow, time spent: 15.0ms, 4.0% of total-time

Operation const, time spent: 5.0ms, 1.0% of total-time

series41.0ms (0.7%)

Counts

9 → 199

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	0	(.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
2.0ms	x.re	@	inf	(-.f64 (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (.f64 (.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) x.im))
1.0ms	x.im	@	-inf	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
1.0ms	x.re	@	0	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
1.0ms	x.im	@	0	(+.f64 (.f64 x.im (+.f64 (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal 2 binary64) x.re))) (.f64 x.re (+.f64 x.re (.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))

rewrite125.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

362×	`prod-diff`
280×	`log1p-expm1-u`
280×	`expm1-log1p-u`
277×	`add-cube-cbrt`
273×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	348
1	623	204

Stop Event

1×	node limit

Calls

Call 1

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

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

math.cube on complex, real part

analyze0.0ms (0%)

sample1.4s (24.3%)

preprocess273.0ms (4.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize354.0ms (6.2%)

series63.0ms (1.1%)

rewrite727.0ms (12.7%)

simplify289.0ms (5%)

eval202.0ms (3.5%)

prune76.0ms (1.3%)

localize184.0ms (3.2%)

series51.0ms (0.9%)

rewrite140.0ms (2.5%)

simplify333.0ms (5.8%)

eval110.0ms (1.9%)

prune60.0ms (1%)

localize178.0ms (3.1%)

series45.0ms (0.8%)

rewrite193.0ms (3.4%)

simplify118.0ms (2.1%)

eval239.0ms (4.2%)

prune66.0ms (1.2%)

localize460.0ms (8%)

series41.0ms (0.7%)

rewrite125.0ms (2.2%)

end0.0ms (0%)

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