Metrics for _divideComplex, imaginary part

analyze43.0ms (0.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
75%	74.9%	25%	0.2%	0%	0%	0%	5
75%	74.9%	25%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	8
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	9
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	10
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	11
96.9%	96.7%	3.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

Operation ival-mult, time spent: 16.0ms, 76.0% of total-time

Operation ival-sub, time spent: 2.0ms, 10.0% of total-time

Operation ival-div, time spent: 2.0ms, 10.0% of total-time

Operation ival-add, time spent: 2.0ms, 10.0% of total-time

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

sample1.9s (18.8%)

Results

1.6s	7765×	256	valid
202.0ms	490×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 785.0ms

Operation ival-mult, time spent: 590.0ms, 75.0% of total-time

Operation ival-div, time spent: 62.0ms, 8.0% of total-time

Operation ival-sub, time spent: 61.0ms, 8.0% of total-time

Operation ival-add, time spent: 61.0ms, 8.0% of total-time

Operation const, time spent: 10.0ms, 1.0% of total-time

Bogosity

preprocess377.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1255×	`fma-define`
795×	`fma-neg`
518×	`div-sub`
436×	`unsub-neg`
415×	`distribute-rgt-in`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
93	1	(1.2594499428365807e-57 8.435945278451797e-190 3.472756498897308e+107 -1.62407677139569e+266)	-	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
3	0	-	-	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`
0	0	-	-	`x.im`
0	0	-	-	`y.im`
0	0	-	-	`y.re`
0	0	-	-	`x.re`
0	0	-	-	`(*.f64 y.im y.im)`
0	0	-	-	`(*.f64 x.im y.re)`
0	0	-	-	`(*.f64 x.re y.im)`
0	0	-	-	`(*.f64 y.re y.re)`
0	0	-	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	1024
1	237	992
2	469	992
3	1150	992
4	3391	992
5	5801	992
6	6625	992
7	6734	992
8	6754	992
9	6770	992
10	7716	992

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 (neg.f64 x.re) y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (+.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (-.f64 (.f64 (neg.f64 x.im) y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im (neg.f64 y.re)) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (fma.f64 y.re y.re (.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (-.f64 (.f64 x.im (neg.f64 y.re)) (.f64 x.re y.im)) (+.f64 (.f64 (neg.f64 y.re) (neg.f64 y.re)) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im (neg.f64 y.re)) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (fma.f64 y.re y.re (.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re (neg.f64 y.im))) (+.f64 (.f64 y.re y.re) (.f64 (neg.f64 y.im) (neg.f64 y.im))))
(/.f64 (+.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (fma.f64 y.im y.im (.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 (neg.f64 x.re) y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
(/.f64 (-.f64 (.f64 x.im (neg.f64 y.re)) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (fma.f64 y.re y.re (.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 x.im) y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
(/.f64 (+.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (fma.f64 y.im y.im (.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (.f64 x.im (neg.f64 y.re)) (.f64 x.re y.im)) (+.f64 (.f64 (neg.f64 y.re) (neg.f64 y.re)) (.f64 y.im y.im))))
(/.f64 (+.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (fma.f64 y.im y.im (.f64 y.re y.re)))
(neg.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re (neg.f64 y.im))) (+.f64 (.f64 y.re y.re) (.f64 (neg.f64 y.im) (neg.f64 y.im)))))
(/.f64 (-.f64 (.f64 x.im (neg.f64 y.re)) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (fma.f64 y.re y.re (.f64 y.im y.im)))
(/.f64 (neg.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 y.re x.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im (neg.f64 y.im) (.f64 y.re x.re)) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (-.f64 (.f64 x.im x.re) (.f64 y.re y.im)) (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im x.re) (.f64 y.re y.im)) (fma.f64 x.re x.re (*.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 x.re x.re)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 x.re x.re)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.re y.re (.f64 x.re x.re)))
(/.f64 (-.f64 (.f64 y.re x.im) (.f64 x.re y.im)) (+.f64 (.f64 x.im x.im) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 x.im x.im (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 x.im x.im (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 y.im y.re) (.f64 x.re x.im)) (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))
(/.f64 (-.f64 (.f64 y.re y.im) (.f64 x.im x.re)) (fma.f64 y.re y.re (*.f64 x.im x.im)))
(/.f64 (-.f64 (.f64 y.re y.im) (.f64 x.im x.re)) (fma.f64 x.im x.im (*.f64 y.re y.re)))
(/.f64 (fma.f64 x.im (neg.f64 x.re) (.f64 y.re y.im)) (fma.f64 x.im x.im (.f64 y.re y.re)))
(/.f64 (-.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (+.f64 (.f64 y.im y.im) (.f64 y.re y.re)))
(/.f64 (-.f64 (.f64 x.im y.im) (.f64 y.re x.re)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
(/.f64 (fma.f64 x.im y.im (.f64 y.re (neg.f64 x.re))) (fma.f64 y.im y.im (.f64 y.re y.re)))

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

Operation ival-mult, time spent: 18.0ms, 62.0% of total-time

Operation ival-div, time spent: 4.0ms, 14.0% of total-time

Operation ival-sub, time spent: 3.0ms, 10.0% of total-time

Operation ival-add, time spent: 3.0ms, 10.0% of total-time

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

eval1.0ms (0%)

Compiler: Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize49.0ms (0.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	98.9%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	65.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-mult, time spent: 7.0ms, 56.0% of total-time

Operation ival-sub, time spent: 2.0ms, 16.0% of total-time

Operation ival-div, time spent: 2.0ms, 16.0% of total-time

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

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

series19.0ms (0.2%)

Counts

3 → 114

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))>
#<alt (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))>
#<alt (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))>

Inputs

#<alt (/.f64 (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im)))>

#<alt (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))>

#<alt (+.f64 (*.f64 y.re y.re) (*.f64 y.im y.im))>

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

Calls

30 calls:

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

rewrite290.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
621×	`fma-define`
307×	`fma-neg`
120×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	115
1	268	105
2	3887	105

Stop Event

1×	node limit

Counts

3 → 269

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))

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

simplify229.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

556×	`fma-neg`
262×	`associate-r`
256×	`div-sub`
251×	`*-commutative`
243×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	677	20601
1	1712	17679
2	5678	17363

Stop Event

1×	node limit

Counts

383 → 410

Calls

Call 1

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

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

eval191.0ms (1.9%)

Compiler: Compiled 9898 to 3113 computations (68.5% saved)

prune115.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	396	14	410
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	396	15	411

Accuracy

99.8%

Counts

411 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.3%	(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
✓	64.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	56.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	51.0%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
▶	52.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
	42.5%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	39.0%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	55.6%	(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	39.2%	(/.f64 (neg.f64 x.re) y.im)
▶	39.7%	(/.f64 x.im y.re)
	39.3%	(+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
	39.9%	(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
▶	74.0%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (hypot.f64 y.re y.im)))
	39.6%	(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
▶	43.6%	(*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))

Compiler

Compiled 465 to 299 computations (35.7% saved)

localize350.0ms (3.5%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	95.4%	(*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))
✓	75.1%	(/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	76.0%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	99.2%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
✓	91.7%	(/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)
✓	100.0%	(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (hypot.f64 y.re y.im)))
✓	74.8%	(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (hypot.f64 y.re y.im))

Compiler

Compiled 163 to 41 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

Operation composed, time spent: 65.0ms, 38.0% of total-time

Operation ival-mult, time spent: 60.0ms, 35.0% of total-time

Operation ival-div, time spent: 17.0ms, 10.0% of total-time

Operation ival-add, time spent: 11.0ms, 6.0% of total-time

Operation ival-pow, time spent: 10.0ms, 6.0% of total-time

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

Operation ival-sqrt, time spent: 2.0ms, 1.0% of total-time

Operation const, time spent: 2.0ms, 1.0% of total-time

series67.0ms (0.7%)

Counts

9 → 348

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 (.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 (.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.re (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 x.re y.im) x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 y.re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.im y.im))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))) (/.f64 x.im y.im))))>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) x.im)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 #s(literal 1/2 binary64) (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re)))>
#<alt (.f64 (.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (*.f64 x.im y.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (*.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 x.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 x.im (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (.f64 y.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.re) y.im))))>
#<alt x.re>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) (.f64 x.im y.re)) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im))) y.im)) (*.f64 x.im y.re)) y.im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 y.im (-.f64 (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (.f64 x.im y.re) y.im))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
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#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))) y.re))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (+.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.re (/.f64 (pow.f64 y.re #s(literal 5 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 7 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 5 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 y.re (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.re (/.f64 (pow.f64 y.re #s(literal 5 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 7 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 5 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 x.im y.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 x.im y.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>

Calls

87 calls:

Time	Variable		Point	Expression
5.0ms	x.im	@	0	(/ (+ (* x.im y.re) (* x.re (neg y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	y.im	@	-inf	(* x.im (/ y.re (+ (* y.im y.im) (pow y.re 2))))
3.0ms	y.im	@	0	(/ (* x.re (neg y.im)) y.re)
2.0ms	y.im	@	0	(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms	y.re	@	0	(/ (+ x.im (/ (* x.re (neg y.im)) y.re)) y.re)

rewrite160.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

234×	`log1p-expm1-u`
234×	`expm1-log1p-u`
227×	`add-exp-log`
227×	`add-log-exp`
227×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	350
1	556	302

Stop Event

1×	node limit

Counts

9 → 331

Calls

Call 1

Inputs
(/.f64 (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im))) (hypot.f64 y.re y.im))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (hypot.f64 y.re y.im)))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
(/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.im y.im (pow.f64 y.re #s(literal 2 binary64)))))

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

simplify345.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-define`
511×	`times-frac`
371×	`*-commutative`
312×	`distribute-lft-in`
303×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1308	34878
1	3587	32470

Stop Event

1×	node limit

Counts

679 → 827

Calls

Call 1

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

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

eval319.0ms (3.2%)

Compiler: Compiled 18085 to 8785 computations (51.4% saved)

prune205.0ms (2%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	869	14	883
Fresh	4	5	9
Picked	2	3	5
Done	1	0	1
Total	876	22	898

Accuracy

100.0%

Counts

898 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.8%	(/.f64 (/.f64 (*.f64 x.im y.re) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
	52.3%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
	56.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
▶	51.0%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
✓	52.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
	45.5%	(/.f64 (+.f64 x.im (-.f64 (.f64 x.re (+.f64 (/.f64 y.im (neg.f64 y.re)) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
	42.5%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	39.0%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	55.6%	(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	39.2%	(/.f64 (neg.f64 x.re) y.im)
	43.6%	(/.f64 x.im (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) y.re))
✓	39.7%	(/.f64 x.im y.re)
	32.5%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)))
▶	65.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (hypot.f64 y.re y.im)))
	35.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re))
	28.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.re (.f64 x.im (/.f64 y.re y.im))))
▶	34.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))
	30.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (.f64 (neg.f64 x.re) (/.f64 y.im y.re))))
	27.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
	19.7%	(*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
▶	41.0%	(.f64 y.im (-.f64 (/.f64 x.im (.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
	56.8%	(.f64 x.im (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im))))

Compiler

Compiled 661 to 424 computations (35.9% saved)

localize427.0ms (4.3%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))
	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	92.3%	(/.f64 (*.f64 x.im y.re) y.im)
✓	91.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))
✓	93.7%	(-.f64 (/.f64 x.im (*.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
✓	92.3%	(/.f64 x.im (*.f64 y.im y.re))
✓	90.5%	(.f64 y.im (-.f64 (/.f64 x.im (.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
✓	84.0%	(/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))
✓	100.0%	(+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))
✓	98.4%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
✓	92.3%	(/.f64 (*.f64 x.im y.re) y.im)
✓	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (hypot.f64 y.re y.im)))
✓	94.0%	(.f64 y.im (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re))
✓	92.3%	(*.f64 x.im (/.f64 y.re y.im))
✓	74.8%	(/.f64 (.f64 y.im (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re)) (hypot.f64 y.re y.im))

Compiler

Compiled 212 to 63 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 231.0ms

Operation ival-pow, time spent: 136.0ms, 59.0% of total-time

Operation ival-mult, time spent: 34.0ms, 15.0% of total-time

Operation ival-div, time spent: 28.0ms, 12.0% of total-time

Operation ival-add, time spent: 12.0ms, 5.0% of total-time

Operation composed, time spent: 10.0ms, 4.0% of total-time

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

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

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

Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series72.0ms (0.7%)

Counts

14 → 426

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
5.0ms	y.im	@	0	(* x.im (/ y.re y.im))
3.0ms	y.re	@	inf	(* x.im (/ y.re y.im))
2.0ms	x.re	@	inf	(/ (+ (* -1 x.re) (/ (* x.im y.re) y.im)) y.im)
1.0ms	y.im	@	0	(* y.im (- (/ x.im (* y.im y.re)) (/ x.re (pow y.re 2))))
1.0ms	x.im	@	0	(* y.im (- (/ x.im (* y.im y.re)) (/ x.re (pow y.re 2))))

rewrite176.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

270×	`associate-r`
254×	`log1p-expm1-u`
254×	`expm1-log1p-u`
250×	`add-cube-cbrt`
249×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	533
1	602	493

Stop Event

1×	node limit

Counts

14 → 546

Calls

Call 1

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

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

simplify415.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-define`
392×	`*-commutative`
340×	`distribute-lft-in`
243×	`distribute-rgt-neg-in`
216×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1450	51883
1	4136	49785

Stop Event

1×	node limit

Counts

972 → 965

Calls

Call 1

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

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

eval412.0ms (4.1%)

Compiler: Compiled 28224 to 12223 computations (56.7% saved)

prune345.0ms (3.4%)

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1245	13	1258
Fresh	4	10	14
Picked	3	2	5
Done	0	3	3
Total	1252	28	1280

Accuracy

100.0%

Counts

1280 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.8%	(/.f64 (/.f64 (*.f64 x.im y.re) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
	51.0%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
	51.9%	(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)
	52.3%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
▶	34.8%	(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 (hypot.f64 y.re y.im)))
▶	56.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	52.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
	45.5%	(/.f64 (+.f64 x.im (-.f64 (.f64 x.re (+.f64 (/.f64 y.im (neg.f64 y.re)) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
▶	42.5%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	39.0%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	39.2%	(/.f64 (neg.f64 x.re) y.im)
	8.3%	(/.f64 (neg.f64 x.im) y.im)
	12.3%	(/.f64 x.re y.im)
	43.6%	(/.f64 x.im (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) y.re))
✓	39.7%	(/.f64 x.im y.re)
▶	7.8%	(/.f64 x.im y.im)
	7.1%	(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
	4.8%	(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
	32.5%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)))
✓	65.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (hypot.f64 y.re y.im)))
	28.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.re (.f64 x.im (/.f64 y.re y.im))))
	30.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))))
	27.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
	51.0%	(.f64 (/.f64 #s(literal 1 binary64) y.im) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))
	51.8%	(*.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
	47.0%	(*.f64 y.im (/.f64 (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)) y.re))
	20.8%	(*.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64))))
▶	56.8%	(.f64 x.im (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im))))

Compiler

Compiled 718 to 465 computations (35.2% saved)

localize149.0ms (1.5%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))
✓	91.7%	(/.f64 x.im (/.f64 y.im y.re))
✓	91.4%	(/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 (hypot.f64 y.re y.im)))
	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	73.4%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	99.2%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	89.9%	(*.f64 x.re (/.f64 y.im y.re))
✓	100.0%	(/.f64 y.re (hypot.f64 y.re y.im))
	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im)))
✓	95.4%	(.f64 x.im (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im))))

Compiler

Compiled 147 to 31 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

Operation ival-div, time spent: 19.0ms, 34.0% of total-time

Operation ival-mult, time spent: 16.0ms, 28.0% of total-time

Operation composed, time spent: 10.0ms, 18.0% of total-time

Operation ival-sub, time spent: 4.0ms, 7.0% of total-time

Operation ival-add, time spent: 3.0ms, 5.0% of total-time

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

Operation const, time spent: 1.0ms, 2.0% of total-time

Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

series148.0ms (1.5%)

Counts

9 → 336

Calls

Call 1

Inputs
#<alt (.f64 x.im (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im)))>
#<alt (/.f64 y.re (hypot.f64 y.re y.im))>
#<alt (*.f64 x.re (/.f64 y.im y.re))>
#<alt (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)>
#<alt (/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))>
#<alt (/.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (neg.f64 (hypot.f64 y.re y.im)))>
#<alt (/.f64 x.im (/.f64 y.im y.re))>
#<alt (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re)))>

Outputs
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
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#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 (/.f64 (.f64 x.im y.re) y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.re y.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 x.re x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.im)>
#<alt (/.f64 (+.f64 x.im (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))))) y.im)>
#<alt (/.f64 (+.f64 x.im (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (.f64 y.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64))))))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.re) y.im))) y.im)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.re) y.im)))) y.im)>
#<alt (/.f64 x.re y.im)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im y.re)) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im))) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.im y.re)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im)) (.f64 #s(literal 1/2 binary64) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) y.im))) y.im))) y.im))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (/.f64 x.im y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.im)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.im))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (/.f64 x.re y.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im y.im) y.re))) y.re)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 #s(literal 1/2 binary64) (.f64 x.im y.im))) y.re))) y.re)))>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))>
#<alt (-.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (-.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt (-.f64 x.re (/.f64 (*.f64 x.im y.re) y.im))>
#<alt x.re>
#<alt (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re y.im)))))>
#<alt (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re y.im)))))>
#<alt (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re y.im)))))>
#<alt x.re>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (.f64 x.re y.im)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (.f64 x.re y.im)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (.f64 x.re y.im)) #s(literal 1 binary64))))>
#<alt x.re>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))>
#<alt (*.f64 x.im (-.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (-.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))>
#<alt (*.f64 x.im (-.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) (.f64 #s(literal -1 binary64) (/.f64 y.re y.im)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))>
#<alt (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im)>
#<alt (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im)>
#<alt (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im)>
#<alt x.re>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt x.re>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt x.re>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))>
#<alt (*.f64 y.re (-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im)))>
#<alt (*.f64 y.re (-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im)))>
#<alt (*.f64 y.re (-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)) (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)))))>

Calls

84 calls:

Time	Variable		Point	Expression
103.0ms	y.re	@	0	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms	y.re	@	-inf	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	x.re	@	0	(/ (- x.re (/ x.im (/ y.im y.re))) (neg (sqrt (+ (* y.re y.re) (* y.im y.im)))))
1.0ms	x.im	@	-inf	(/ (- x.re (/ x.im (/ y.im y.re))) (neg (sqrt (+ (* y.re y.re) (* y.im y.im)))))
1.0ms	x.im	@	0	(/ (- x.re (/ x.im (/ y.im y.re))) (neg (sqrt (+ (* y.re y.re) (* y.im y.im)))))

rewrite153.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

252×	`log1p-expm1-u`
252×	`expm1-log1p-u`
250×	`add-cube-cbrt`
247×	`add-exp-log`
247×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	307
1	544	288

Stop Event

1×	node limit

Counts

9 → 324

Calls

Call 1

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

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

simplify284.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-define`
433×	`associate-*r/`
385×	`times-frac`
369×	`associate-*l/`
326×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1150	31825
1	3111	28950

Stop Event

1×	node limit

Counts

660 → 648

Calls

Call 1

Inputs
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) y.re))
(/.f64 x.im y.re)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))
(+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
(+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 x.im y.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 x.im y.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))
(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
(.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) y.re)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 #s(literal 1 binary64) y.re)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) #s(literal 1 binary64)) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))) y.re))
(/.f64 #s(literal 1 binary64) y.re)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.re))
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(.f64 (+.f64 (neg.f64 x.re) (.f64 x.im (/.f64 y.re y.im))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im))) (cbrt.f64 (hypot.f64 y.re y.im))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (hypot.f64 y.re y.im)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (sqrt.f64 (hypot.f64 y.re y.im))))
(.f64 (/.f64 (sqrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (hypot.f64 y.re y.im)))
(.f64 (/.f64 (sqrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (cbrt.f64 (hypot.f64 y.re y.im))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (cbrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (hypot.f64 y.re y.im)))
(.f64 (/.f64 (sqrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) (hypot.f64 y.re y.im)))
(pow.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 y.re y.im))
(.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 y.re y.im)))
(.f64 (cbrt.f64 (.f64 x.im (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))))
(.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) (/.f64 y.re y.im)))
(.f64 (sqrt.f64 (.f64 x.im (/.f64 y.re y.im))) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))))
(.f64 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) (/.f64 y.re y.im)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y.im) y.re)))
(*.f64 (/.f64 x.im y.im) y.re)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (/.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (/.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) y.im) (/.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 (/.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y.im y.re))) (/.f64 x.im (sqrt.f64 (/.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) y.im) (/.f64 (cbrt.f64 x.im) (/.f64 #s(literal 1 binary64) y.re)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.im (/.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (/.f64 y.im y.re))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (/.f64 y.im y.re))))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (/.f64 y.im y.re))))
(.f64 (.f64 (/.f64 x.im y.im) #s(literal 1 binary64)) y.re)
(.f64 (.f64 (/.f64 x.im y.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(.f64 (.f64 (/.f64 x.im y.im) (sqrt.f64 y.re)) (sqrt.f64 y.re))
(pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 y.im y.re) x.im) #s(literal -1 binary64))
(neg.f64 (*.f64 (neg.f64 x.im) (/.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (/.f64 y.re y.im))) #s(literal 1 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.im) (/.f64 y.re y.im)))
(+.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x.im (/.f64 y.re y.im)))) (pow.f64 (cbrt.f64 (.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64)) (.f64 x.im (/.f64 y.re y.im))))
(+.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x.im (/.f64 y.re y.im)))) (sqrt.f64 (.f64 x.im (/.f64 y.re y.im))) (.f64 x.im (/.f64 y.re y.im))))
(+.f64 (fma.f64 #s(literal 1 binary64) x.re (neg.f64 (.f64 (/.f64 y.re y.im) x.im))) (fma.f64 (neg.f64 (/.f64 y.re y.im)) x.im (.f64 (/.f64 y.re y.im) x.im)))
(+.f64 (fma.f64 #s(literal 1 binary64) x.re (neg.f64 (.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64)))) (fma.f64 (.f64 (neg.f64 x.im) (/.f64 y.re y.im)) #s(literal 1 binary64) (.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x.re (neg.f64 (.f64 y.re (/.f64 x.im y.im)))) (fma.f64 (neg.f64 y.re) (/.f64 x.im y.im) (.f64 y.re (/.f64 x.im y.im))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (neg.f64 (.f64 (/.f64 y.re y.im) x.im))) (fma.f64 (neg.f64 (/.f64 y.re y.im)) x.im (.f64 (/.f64 y.re y.im) x.im)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (neg.f64 (.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64)))) (fma.f64 (.f64 (neg.f64 x.im) (/.f64 y.re y.im)) #s(literal 1 binary64) (.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (neg.f64 (.f64 y.re (/.f64 x.im y.im)))) (fma.f64 (neg.f64 y.re) (/.f64 x.im y.im) (.f64 y.re (/.f64 x.im y.im))))
(+.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (neg.f64 (.f64 (/.f64 y.re y.im) x.im))) (fma.f64 (neg.f64 (/.f64 y.re y.im)) x.im (.f64 (/.f64 y.re y.im) x.im)))
(+.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (neg.f64 (.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64)))) (fma.f64 (.f64 (neg.f64 x.im) (/.f64 y.re y.im)) #s(literal 1 binary64) (.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (neg.f64 (.f64 y.re (/.f64 x.im y.im)))) (fma.f64 (neg.f64 y.re) (/.f64 x.im y.im) (.f64 y.re (/.f64 x.im y.im))))
(+.f64 (.f64 x.re #s(literal 1 binary64)) (.f64 (*.f64 (neg.f64 x.im) (/.f64 y.re y.im)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (-.f64 x.re (.f64 x.im (/.f64 y.re y.im))))
(.f64 (cbrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) (pow.f64 (cbrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))
(.f64 (sqrt.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) (sqrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))
(.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (.f64 (.f64 x.im (/.f64 y.re y.im)) (+.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)))))
(.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))
(.f64 (+.f64 (sqrt.f64 x.re) (sqrt.f64 (.f64 x.im (/.f64 y.re y.im)))) (-.f64 (sqrt.f64 x.re) (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (.f64 (.f64 x.im (/.f64 y.re y.im)) (+.f64 (.f64 x.im (/.f64 y.re y.im)) x.re))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.re y.im))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.re x.re (.f64 (.f64 x.im (/.f64 y.re y.im)) (+.f64 (.f64 x.im (/.f64 y.re y.im)) x.re))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64))) (+.f64 x.re (.f64 x.im (/.f64 y.re y.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re (.f64 (.f64 x.im (/.f64 y.re y.im)) (+.f64 (.f64 x.im (/.f64 y.re y.im)) x.re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)))) (neg.f64 (+.f64 x.re (.f64 x.im (/.f64 y.re y.im)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.im) (/.f64 y.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 x.im) (/.f64 y.re y.im)) (.f64 (neg.f64 x.im) (/.f64 y.re y.im))) (.f64 x.re (.f64 (neg.f64 x.im) (/.f64 y.re y.im))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x.im) (/.f64 y.re y.im)) (.f64 (neg.f64 x.im) (/.f64 y.re y.im)))) (-.f64 x.re (.f64 (neg.f64 x.im) (/.f64 y.re y.im))))
(pow.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))))))
(cbrt.f64 (pow.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))
(log1p.f64 (expm1.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))
(exp.f64 (log.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))))
(exp.f64 (.f64 (log.f64 (-.f64 x.re (.f64 x.im (/.f64 y.re y.im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x.re (*.f64 (neg.f64 x.im) (/.f64 y.re y.im)))
(fma.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (cbrt.f64 x.re) (*.f64 (neg.f64 x.im) (/.f64 y.re y.im)))
(fma.f64 (sqrt.f64 x.re) (sqrt.f64 x.re) (*.f64 (neg.f64 x.im) (/.f64 y.re y.im)))

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

eval330.0ms (3.3%)

Compiler: Compiled 15799 to 7882 computations (50.1% saved)

prune187.0ms (1.9%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	783	10	793
Fresh	4	14	18
Picked	2	3	5
Done	2	3	5
Total	791	30	821

Accuracy

100.0%

Counts

821 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.2%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)) #s(literal 3 binary64))
	58.2%	(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) y.re))
	51.0%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
	51.9%	(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)
	52.3%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
	28.4%	(/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (hypot.f64 y.re y.im))
	52.8%	(/.f64 (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re)) y.re)
	56.1%	(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
	52.8%	(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.re y.im)))) y.re)
✓	56.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	45.5%	(/.f64 (+.f64 x.im (-.f64 (.f64 x.re (+.f64 (/.f64 y.im (neg.f64 y.re)) (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)))) (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
✓	42.5%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	39.0%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	39.2%	(/.f64 (neg.f64 x.re) y.im)
	8.3%	(/.f64 (neg.f64 x.im) y.im)
	12.3%	(/.f64 x.re y.im)
	43.6%	(/.f64 x.im (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) y.re))
✓	39.7%	(/.f64 x.im y.re)
✓	7.8%	(/.f64 x.im y.im)
	7.1%	(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
	4.8%	(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
	28.4%	(.f64 (/.f64 (sqrt.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) y.re))
	58.5%	(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	32.5%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)))
	27.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
	51.0%	(.f64 (/.f64 #s(literal 1 binary64) y.im) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.im y.re) y.im)))
	51.8%	(*.f64 (-.f64 x.re (/.f64 x.im (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
	56.0%	(.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) y.re))
	20.8%	(*.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64))))
	19.4%	(.f64 x.im (.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 y.re (hypot.f64 y.re y.im))))

Compiler

Compiled 1014 to 483 computations (52.4% saved)

regimes391.0ms (3.9%)

Counts

52 → 2

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)

Calls

5 calls:

168.0ms	y.re
89.0ms	x.re
59.0ms	y.im
52.0ms	x.im
19.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
83.0%	7	`x.re`
84.1%	4	`x.im`
91.5%	5	`y.re`
88.0%	5	`y.im`
87.2%	2	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes90.0ms (0.9%)

Counts

50 → 4

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)) (hypot.f64 y.re y.im)))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)

Calls

2 calls:

58.0ms	y.re
28.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
87.8%	4	`y.re`
83.7%	4	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes172.0ms (1.7%)

Counts

46 → 4

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)

Calls

1 calls:

168.0ms

y.re

Results

Accuracy	Segments	Branch
87.7%	4	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes53.0ms (0.5%)

Counts

45 → 4

Calls

Call 1

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

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

Calls

1 calls:

50.0ms

y.re

Results

Accuracy	Segments	Branch
87.7%	4	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes42.0ms (0.4%)

Counts

22 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)

Calls

2 calls:

23.0ms	y.re
17.0ms	y.im

Results

Accuracy	Segments	Branch
79.4%	3	`y.im`
84.1%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes105.0ms (1%)

Counts

10 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re)) y.re)

Outputs
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)

Calls

4 calls:

74.0ms	x.im
11.0ms	y.im
9.0ms	y.re
9.0ms	x.re

Results

Accuracy	Segments	Branch
61.8%	5	`x.re`
74.1%	3	`y.im`
64.4%	6	`x.im`
74.9%	3	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes15.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.re) y.im)
(-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))
(-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))

Outputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.im y.re)

Calls

2 calls:

7.0ms	y.im
7.0ms	y.re

Results

Accuracy	Segments	Branch
60.4%	3	`y.im`
62.7%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)

Outputs
(/.f64 x.re y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)

Calls

4 calls:

5.0ms	y.im
3.0ms	y.re
3.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
42.7%	3	`x.re`
39.7%	1	`x.im`
45.9%	3	`y.im`
41.4%	3	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)

Outputs
(/.f64 x.im y.re)

Calls

2 calls:

2.0ms	y.im
1.0ms	x.im

Results

Accuracy	Segments	Branch
39.7%	1	`x.im`
39.7%	1	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x.im y.im)

Outputs
(/.f64 x.im y.im)

Calls

4 calls:

1.0ms	x.re
1.0ms	x.im
1.0ms	y.im
1.0ms	y.re

Results

Accuracy	Segments	Branch
7.8%	1	`y.re`
7.8%	1	`x.re`
7.8%	1	`x.im`
7.8%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.990142101082968e+266	4.7052026589091573e+303

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch69.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.0053394500454816245	42688.753574549926
22.0ms	-1.417804833598431e-175	-1.3301119740470963e-178
21.0ms	-8.33895625557288e+19	-2623087633142398000.0

Results

55.0ms	366×	256	valid
2.0ms	17×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 876 to 545 computations (37.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

Operation ival-mult, time spent: 11.0ms, 50.0% of total-time

Operation ival-sub, time spent: 5.0ms, 23.0% of total-time

Operation ival-div, time spent: 4.0ms, 18.0% of total-time

Operation ival-add, time spent: 2.0ms, 9.0% of total-time

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

bsearch63.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.0053394500454816245	42688.753574549926
20.0ms	-1.9647329226425568e-163	-2.8720598883014894e-165
20.0ms	-4.222478399049826e+143	-6.96038038812193e+141

Results

48.0ms	351×	256	valid
4.0ms	16×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 782 to 494 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

Operation ival-mult, time spent: 11.0ms, 58.0% of total-time

Operation ival-div, time spent: 3.0ms, 16.0% of total-time

Operation ival-sub, time spent: 2.0ms, 11.0% of total-time

Operation ival-add, time spent: 2.0ms, 11.0% of total-time

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

bsearch66.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.0053394500454816245	42688.753574549926
21.0ms	-1.9647329226425568e-163	-2.8720598883014894e-165
21.0ms	-6.96038038812193e+141	-3.030325083355166e+137

Results

56.0ms	368×	256	valid
2.0ms	15×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 788 to 494 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-mult, time spent: 11.0ms, 60.0% of total-time

Operation ival-div, time spent: 3.0ms, 16.0% of total-time

Operation ival-sub, time spent: 2.0ms, 11.0% of total-time

Operation ival-add, time spent: 2.0ms, 11.0% of total-time

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.0053394500454816245	42688.753574549926
0.0ms	-1.7280065968928292e-20	-1.7127582982115645e-20

Results

25.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 278 to 179 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-mult, time spent: 7.0ms, 58.0% of total-time

Operation ival-sub, time spent: 3.0ms, 25.0% of total-time

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

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

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

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.002544317326562652	0.0053394500454816245
23.0ms	-9.172139401798537e-101	-6.57095037139333e-105

Results

30.0ms	195×	256	valid
2.0ms	12×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 325 to 225 computations (30.8% saved)

Precisions

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

Operation ival-mult, time spent: 6.0ms, 60.0% of total-time

Operation ival-div, time spent: 2.0ms, 20.0% of total-time

Operation ival-sub, time spent: 1.0ms, 10.0% of total-time

Operation ival-add, time spent: 1.0ms, 10.0% of total-time

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

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	7.632548678726397e+50	5.279013506525946e+59
23.0ms	-2.338891006899121e-25	-7.424979011212069e-28

Results

44.0ms	270×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	infinite

Compiler

Compiled 315 to 238 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-mult, time spent: 8.0ms, 51.0% of total-time

Operation ival-add, time spent: 4.0ms, 25.0% of total-time

Operation ival-sub, time spent: 2.0ms, 13.0% of total-time

Operation ival-div, time spent: 2.0ms, 13.0% of total-time

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

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.014955641502969e+113	1.8751719620878914e+115
28.0ms	-5.4872009446075796e+94	-1.1196660085552884e+90

Results

41.0ms	239×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 266 to 197 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

Operation ival-mult, time spent: 15.0ms, 76.0% of total-time

Operation ival-div, time spent: 2.0ms, 10.0% of total-time

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

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

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

simplify34.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative`
15×	`+-commutative`
14×	`sub-neg`
10×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	1245
1	154	1245
2	182	1245
3	202	1245
4	212	1245
5	216	1245
6	217	1245

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 999999999999999973438224854160227305877518561122823750593712591987145964024444656694044404476868689015149167622996309190165824584023146941018349739309135463248122613459314107074039291811569329219648848907543004197890512187794469896370420793533163493423472892065087488 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (hypot.f64 y.re y.im))) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re))
(if (<=.f64 y.re #s(literal -82000000000000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))) (if (<=.f64 y.re #s(literal -1247542356381069/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re)) (hypot.f64 y.re y.im))) (if (<=.f64 y.re #s(literal 210 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -6999999999999999949603206657369076597296997358622360981342608406955992071600426772459953725198081258907421307050976273671865535829576521875456 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))) (if (<=.f64 y.re #s(literal -1539859293139431/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 1550 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -1100000000000000036125718738125418686885713822995572865063544768884621707588666795098401447190500153952344455262754679136513339697632641024 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (if (<=.f64 y.re #s(literal -1539859293139431/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 1650 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -2857840190937569/166153499473114484112975882535043072 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4600 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -726257778211943/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 3112888062438487/1152921504606846976 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -1785801861601085/87112285931760246646623899502532662132736 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 169999999999999998847561274641476755998490435130490880 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (<=.f64 y.im #s(literal -54000000000000002573958215104068438804817809564780538543295753955431435974957948006657742077952 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 16000000000000000248950658071469488388291222350736982933916329286893340498636091252239766238640759162819300493885440 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(/.f64 x.im y.re)
(/.f64 x.im y.im)

Outputs
(if (<=.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 999999999999999973438224854160227305877518561122823750593712591987145964024444656694044404476868689015149167622996309190165824584023146941018349739309135463248122613459314107074039291811569329219648848907543004197890512187794469896370420793533163493423472892065087488 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (hypot.f64 y.re y.im))) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re))
(if (<=.f64 y.re #s(literal -82000000000000000000 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))) (if (<=.f64 y.re #s(literal -1247542356381069/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re)) (hypot.f64 y.re y.im))) (if (<=.f64 y.re #s(literal 210 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -6999999999999999949603206657369076597296997358622360981342608406955992071600426772459953725198081258907421307050976273671865535829576521875456 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.re (/.f64 y.im y.re) (neg.f64 x.im))) (if (<=.f64 y.re #s(literal -1539859293139431/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 1550 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -1100000000000000036125718738125418686885713822995572865063544768884621707588666795098401447190500153952344455262754679136513339697632641024 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (if (<=.f64 y.re #s(literal -1539859293139431/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 1650 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -2857840190937569/166153499473114484112975882535043072 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4600 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (or (<=.f64 y.re #s(literal -2857840190937569/166153499473114484112975882535043072 binary64)) (not (<=.f64 y.re #s(literal 4600 binary64)))) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im))
(if (<=.f64 y.re #s(literal -726257778211943/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 3112888062438487/1152921504606846976 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (or (<=.f64 y.re #s(literal -726257778211943/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (not (<=.f64 y.re #s(literal 3112888062438487/1152921504606846976 binary64)))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im))
(if (or (<=.f64 y.re #s(literal -726257778211943/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) (not (<=.f64 y.re #s(literal 3112888062438487/1152921504606846976 binary64)))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 x.re (neg.f64 y.im)))
(if (<=.f64 y.re #s(literal -1785801861601085/87112285931760246646623899502532662132736 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 169999999999999998847561274641476755998490435130490880 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (or (<=.f64 y.re #s(literal -1785801861601085/87112285931760246646623899502532662132736 binary64)) (not (<=.f64 y.re #s(literal 169999999999999998847561274641476755998490435130490880 binary64)))) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im))
(if (or (<=.f64 y.re #s(literal -1785801861601085/87112285931760246646623899502532662132736 binary64)) (not (<=.f64 y.re #s(literal 169999999999999998847561274641476755998490435130490880 binary64)))) (/.f64 x.im y.re) (/.f64 x.re (neg.f64 y.im)))
(if (<=.f64 y.im #s(literal -54000000000000002573958215104068438804817809564780538543295753955431435974957948006657742077952 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 16000000000000000248950658071469488388291222350736982933916329286893340498636091252239766238640759162819300493885440 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(if (or (<=.f64 y.im #s(literal -54000000000000002573958215104068438804817809564780538543295753955431435974957948006657742077952 binary64)) (not (<=.f64 y.im #s(literal 16000000000000000248950658071469488388291222350736982933916329286893340498636091252239766238640759162819300493885440 binary64)))) (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.im y.re)
(/.f64 x.im y.im)

Compiler

Compiled 344 to 196 computations (43% saved)

soundness870.0ms (8.7%)

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
746×	`fma-define`
621×	`fma-define`
556×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	307
1	544	288
0	677	20601
1	1712	17679
2	5678	17363
0	1308	34878
1	3587	32470
0	18	115
1	268	105
2	3887	105

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 525 to 209 computations (60.2% saved)

end0.0ms (0%)

preprocess149.0ms (1.5%)

Compiler: Compiled 654 to 232 computations (64.5% saved)

analyze43.0ms (0.4%)

sample1.9s (18.8%)

preprocess377.0ms (3.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize49.0ms (0.5%)

series19.0ms (0.2%)

rewrite290.0ms (2.9%)

simplify229.0ms (2.3%)

eval191.0ms (1.9%)

prune115.0ms (1.1%)

localize350.0ms (3.5%)

series67.0ms (0.7%)

rewrite160.0ms (1.6%)

simplify345.0ms (3.4%)

eval319.0ms (3.2%)

prune205.0ms (2%)

localize427.0ms (4.3%)

series72.0ms (0.7%)

rewrite176.0ms (1.7%)

simplify415.0ms (4.1%)

eval412.0ms (4.1%)

prune345.0ms (3.4%)

localize149.0ms (1.5%)

series148.0ms (1.5%)

rewrite153.0ms (1.5%)

simplify284.0ms (2.8%)

eval330.0ms (3.3%)

prune187.0ms (1.9%)

regimes391.0ms (3.9%)

regimes90.0ms (0.9%)

regimes172.0ms (1.7%)

regimes53.0ms (0.5%)

regimes42.0ms (0.4%)

regimes105.0ms (1%)

regimes15.0ms (0.1%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch69.0ms (0.7%)

bsearch63.0ms (0.6%)

bsearch66.0ms (0.7%)

bsearch28.0ms (0.3%)

bsearch36.0ms (0.4%)

bsearch50.0ms (0.5%)

bsearch46.0ms (0.5%)

simplify34.0ms (0.3%)

soundness870.0ms (8.7%)

end0.0ms (0%)

preprocess149.0ms (1.5%)

Profiling