Metrics for math.cube on complex, real part

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

sample1.2s (54.8%)

Results

513.0ms	4578×	0	valid
394.0ms	3678×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 495.0ms

ival-mult: 347.0ms (70.2% of total)

ival-sub: 94.0ms (19% of total)

ival-add: 43.0ms (8.7% of total)

const: 7.0ms (1.4% of total)

backward-pass: 4.0ms (0.8% of total)

Bogosity

preprocess149.0ms (7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs x.im)

(negabs x.re)

explain190.0ms (8.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
16	-	-	`(-.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))`
15	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`
11	-	-	`(-.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)`

Results

39.0ms	286×	256	valid
32.0ms	226×	256	infinite

Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions

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

ival-mult: 23.0ms (73.1% of total)

ival-sub: 5.0ms (15.9% of total)

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

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.8%	(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
▶	85.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Status

Accuracy

Program

▶

83.8%

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

▶

85.4%

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

Compiler

Compiled 34 to 20 computations (41.2% saved)

localize88.0ms (4.1%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 #s(literal 3 binary64) (.f64 x.im x.im))
✓	90.7%	(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
✓	87.3%	(.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.im)))
✓	99.7%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	96.0%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	95.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	94.3%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

Results

38.0ms	143×	256	valid
27.0ms	113×	256	infinite

Compiler

Compiled 100 to 26 computations (74% saved)

Precisions

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

ival-mult: 17.0ms (54.9% of total)

ival-pow: 7.0ms (22.6% of total)

ival-sub: 4.0ms (12.9% of total)

ival-add: 1.0ms (3.2% of total)

const: 1.0ms (3.2% of total)

series22.0ms (1%)

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite301.0ms (14.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`log1p-expm1-u`
508×	`expm1-log1p-u`
177×	`associate-r`
165×	`add-cube-cbrt`
162×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	251
1	389	207
2	5531	207

Stop Event

1×	node limit

Counts

7 → 296

Calls

Call 1

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

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

simplify55.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

141×	`*-commutative`
63×	`+-commutative`
53×	`sub-neg`
43×	`associate-r`
42×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	17697
1	1791	17697

Stop Event

1×

unsound

Counts

452 → 0

Calls

Call 1

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

Outputs

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune112.0ms (5.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	0	0
Total	2	2

Accuracy

85.4%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.8%	(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (.f64 x.re (.f64 #s(literal 3 binary64) (*.f64 x.im x.im))))
✓	85.4%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Status

Accuracy

Program

✓

83.8%

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

✓

85.4%

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

Compiler

Compiled 66 to 37 computations (43.9% saved)

regimes4.0ms (0.2%)

Accuracy

Total -1.0b remaining (-11.1%)

Threshold costs -1b (-11.1%)

Counts

2 → 1

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

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

Calls

3 calls:

2.0ms	x.re
1.0ms	x.im
1.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
85.4%	1	`x.re`
85.4%	1	`x.im`
85.4%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
9×	`+-commutative`
8×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	31	85
2	50	85
3	66	85
4	74	85
5	77	85
6	78	85

Stop Event

1×

saturated

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))

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

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 21 to 10 computations (52.4% saved)

preprocess40.0ms (1.9%)

Remove

(negabs x.re)

(abs x.im)

Compiler

Compiled 290 to 144 computations (50.3% saved)

math.cube on complex, real part

analyze0.0ms (0%)

sample1.2s (54.8%)

preprocess149.0ms (7%)

explain190.0ms (8.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize88.0ms (4.1%)

series22.0ms (1%)

rewrite301.0ms (14.1%)

simplify55.0ms (2.6%)

eval0.0ms (0%)

prune112.0ms (5.2%)

regimes4.0ms (0.2%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

preprocess40.0ms (1.9%)

end0.0ms (0%)

Profiling