Metrics for _divideComplex, imaginary part

analyze35.0ms (0.3%)

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: 18.0ms

ival-mult: 14.0ms (75.9% of total)

ival-sub: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

ival-div: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

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

sample1.2s (9.8%)

Results

847.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-mult: 276.0ms (56.8% of total)

ival-sub: 94.0ms (19.4% of total)

ival-div: 55.0ms (11.3% of total)

ival-add: 50.0ms (10.3% of total)

const: 8.0ms (1.6% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess284.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1255×	`fma-define`
795×	`fmm-def`
503×	`div-sub`
415×	`distribute-rgt-in`
411×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	1024
1	237	992
2	469	992
3	1150	992
4	3393	992
5	5806	992
6	6609	992
7	6718	992
8	6738	992
9	6754	992
10	7700	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)))

explain108.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
100	-	2	(7.689787392000796e-303 -9.979377648330558e-243 -1.6261312078429585e-75 -6.899046649740985e-199)	`(/.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))`

Results

68.0ms

512×

valid

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

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

ival-mult: 19.0ms (65.4% of total)

ival-div: 3.0ms (10.3% of total)

ival-add: 3.0ms (10.3% of total)

ival-sub: 2.0ms (6.9% of total)

const: 1.0ms (3.4% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.2%	(/.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 19 to 11 computations (42.1% saved)

localize138.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y.im y.im)
✓	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(*.f64 x.re y.im)
✓	cost-diff	0	(*.f64 x.im y.re)
✓	accuracy	100.0%	(*.f64 x.re y.im)
✓	accuracy	100.0%	(*.f64 x.im y.re)
✓	accuracy	98.9%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	63.6%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Rules

679×	`fma-define`
515×	`fmm-def`
318×	`times-frac`
120×	`div-sub`
109×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	189
1	33	189
2	59	189
3	96	189
4	168	189
5	295	189
6	536	189
7	887	189
8	1618	189
9	2678	189
10	3170	189
11	3222	189
12	3282	189
13	3282	189

Stop Event

1×

saturated

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

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

Results

30.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 8.0ms (55.3% of total)

ival-add: 4.0ms (27.7% of total)

ival-div: 2.0ms (13.8% of total)

ival-sub: 1.0ms (6.9% of total)

const: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Counts

6 → 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 x.im y.re)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 y.re y.re)>
#<alt (*.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.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>

Calls

42 calls:

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

rewrite410.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	137
1	268	132
2	3887	132

Stop Event

1×	node limit

Counts

6 → 276

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

simplify440.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

663×	`fmm-def`
263×	`fma-define`
256×	`associate-r`
242×	`associate-l`
237×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	679	19256
1	1703	16536
2	5536	16180

Stop Event

1×	node limit

Counts

390 → 419

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

eval54.0ms (0.4%)

Compiler: Compiled 9986 to 1356 computations (86.4% saved)

prune75.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	407	12	419
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	407	13	420

Accuracy

99.7%

Counts

420 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.6%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
	54.6%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	63.2%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	55.5%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	52.0%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
▶	54.3%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
▶	42.6%	(/.f64 (.f64 x.re (neg.f64 y.im)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	44.7%	(/.f64 (neg.f64 x.re) y.im)
▶	45.1%	(/.f64 x.im y.re)
	41.3%	(+.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))
	79.1%	(.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)))
	42.5%	(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
	44.2%	(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))

Compiler

Compiled 391 to 247 computations (36.8% saved)

localize716.0ms (5.7%)

Algorithm

1×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y.im y.im)
	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(neg.f64 y.im)
✓	cost-diff	0	(*.f64 x.re (neg.f64 y.im))
✓	cost-diff	0	(*.f64 x.re (neg.f64 y.im))
✓	cost-diff	0	(/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)
✓	cost-diff	64	(+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))
✓	cost-diff	64	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
✓	cost-diff	0	(/.f64 y.im y.re)
✓	cost-diff	0	(*.f64 x.re (/.f64 y.im y.re))
✓	cost-diff	0	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	cost-diff	0	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	cost-diff	0	(/.f64 x.im y.re)
✓	cost-diff	0	(/.f64 x.im (hypot.f64 y.re y.im))
✓	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 y.re (hypot.f64 y.re y.im))
✓	cost-diff	19520	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	100.0%	(*.f64 x.re (neg.f64 y.im))
✓	accuracy	100.0%	(neg.f64 y.im)
✓	accuracy	72.4%	(/.f64 (.f64 x.re (neg.f64 y.im)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	accuracy	100.0%	(neg.f64 y.im)
✓	accuracy	100.0%	(+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re))
✓	accuracy	98.1%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
✓	accuracy	93.4%	(/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)
✓	accuracy	100.0%	(/.f64 y.im y.re)
✓	accuracy	100.0%	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	accuracy	98.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	accuracy	90.5%	(*.f64 x.re (/.f64 y.im y.re))
✓	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	100.0%	(/.f64 y.re (hypot.f64 y.re y.im))
✓	accuracy	99.0%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
✓	accuracy	96.0%	(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	accuracy	68.0%	(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))

Rules

2015×	`fma-define`
1038×	`fmm-def`
317×	`associate-/r*`
261×	`distribute-lft-neg-in`
239×	`distribute-rgt-in`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	36	694
1	71	694
2	150	694
3	314	682
4	617	682
5	1086	682
6	1744	682
7	2850	668
8	4885	664
9	5793	664
10	6341	664
11	6402	664
12	6416	664
13	6417	658
14	6573	658
15	6593	658
16	6691	658
17	7283	658
18	7283	658
19	7283	658
20	7287	658
21	7291	658

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

236.0ms

256×

valid

Compiler

Compiled 176 to 28 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 23.0ms (32.7% of total)

ival-mult: 18.0ms (25.6% of total)

<compiled-spec>: 15.0ms (21.3% of total)

ival-add: 5.0ms (7.1% of total)

ival-pow: 3.0ms (4.3% of total)

ival-sqrt: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

ival-sub: 1.0ms (1.4% of total)

const: 0.0ms (0% of total)

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

series147.0ms (1.2%)

Counts

17 → 528

Calls

Call 1

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

Outputs
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 y.im (+.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 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 y.im (+.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 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.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)))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.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))))) y.im)>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (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 (-.f64 (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.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)))))) y.im))>
#<alt (/.f64 #s(literal 1 binary64) y.im)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.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 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (+.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 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))>
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.im (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.im (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 y.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 y.im (+.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.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 (+.f64 x.re (.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 (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 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 (-.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 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 x.re y.im)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.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 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 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 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im))>
#<alt (/.f64 x.re y.im)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re y.im))>
#<alt (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (+.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.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 x.re y.im) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 x.re y.im)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 x.re y.im) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 x.re y.im)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #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 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))>
#<alt (-.f64 (.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 x.re y.im))>
#<alt (-.f64 (.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))>
#<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 (+.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))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 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.re y.im) y.re))) 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 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.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 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (.f64 x.re y.im)) 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 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (-.f64 (.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.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 y.re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 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 y.re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y.im #s(literal 6 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt y.re>
#<alt (+.f64 y.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)))>
#<alt (+.f64 y.re (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y.re)))))>
#<alt (+.f64 y.re (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y.re)))))>
#<alt y.im>
#<alt (.f64 y.im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) y.im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))))>
#<alt (*.f64 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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im y.im))>
#<alt (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.im y.im))>
#<alt (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.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))))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (.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)))))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (.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))))))) y.re)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.im y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (.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))))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (.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)))))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (.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))))))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.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 3 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))))) (/.f64 x.im y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (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.im y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (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 (+.f64 x.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (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 (+.f64 x.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))))) y.im))>

Calls

144 calls:

Time	Variable		Point	Expression
69.0ms	x.im	@	-inf	(/ (- x.im (* x.re (/ y.im y.re))) y.re)
6.0ms	x.im	@	0	(/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
4.0ms	y.im	@	inf	(/ (* x.re (neg y.im)) (+ (* y.re y.re) (* y.im y.im)))
3.0ms	y.re	@	0	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	y.re	@	0	(* x.re (/ y.im (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2)))

rewrite225.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

274×	`log1p-expm1-u`
274×	`expm1-log1p-u`
269×	`add-exp-log`
269×	`add-log-exp`
269×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	487
1	619	451

Stop Event

1×	node limit

Counts

17 → 588

Calls

Call 1

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

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

simplify625.0ms (5%)

Algorithm

1×	egg-herbie

Rules

493×	`distribute-lft-in`
483×	`distribute-rgt-in`
428×	`*-commutative`
225×	`cancel-sign-sub-inv`
223×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1611	49294
1	4386	47815

Stop Event

1×	node limit

Counts

1116 → 1004

Calls

Call 1

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

Outputs
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))))
(.f64 y.im (+.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 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (fma.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 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (fma.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 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (+.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 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.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)))) y.im)
(/.f64 (+.f64 #s(literal 1 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))))) y.im)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.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)))) y.im)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.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))))) y.im)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (/.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)))))) y.im)
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 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))))) y.im)
(/.f64 #s(literal 1 binary64) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) #s(literal 1 binary64)) y.im))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))
(neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im))
(/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (neg.f64 (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))))) (neg.f64 y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.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)))))) y.im))
(neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (/.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))))) y.im))
(/.f64 (-.f64 (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.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))))) (neg.f64 y.im))
(/.f64 #s(literal 1 binary64) y.im)
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y.im))
(-.f64 (/.f64 #s(literal 1 binary64) y.im) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(+.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 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))
(fma.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 5 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(fma.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 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(+.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 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.im (neg.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 y.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 y.im (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.im (-.f64 (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 y.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.im (-.f64 (neg.f64 (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 y.im (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.im (neg.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 y.im (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 y.im (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.im (-.f64 (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 y.im (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 y.im (-.f64 (neg.f64 (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (-.f64 y.im (/.f64 (pow.f64 y.im #s(literal 7 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (-.f64 (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (pow.f64 y.im #s(literal 5 binary64)) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 2 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 x.re (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
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(pow.f64 (cbrt.f64 (.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.re)) #s(literal 3 binary64))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(pow.f64 (pow.f64 (.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (.f64 y.im x.re))
(neg.f64 (.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.re))
(.f64 y.im (.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) (neg.f64 x.re)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.re))))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.re) #s(literal 3 binary64)))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) #s(literal 3 binary64))))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.re)))
(expm1.f64 (log1p.f64 (.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.re)))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.re)))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))) x.re)) #s(literal 1 binary64)))
(.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 y.im x.re))
(*.f64 y.im (neg.f64 x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y.im x.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y.im x.re)))
(pow.f64 (*.f64 y.im x.re) #s(literal 1 binary64))
(*.f64 y.im x.re)
(pow.f64 (cbrt.f64 (*.f64 y.im x.re)) #s(literal 3 binary64))
(*.f64 y.im x.re)
(pow.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y.im x.re)
(pow.f64 (sqrt.f64 (*.f64 y.im x.re)) #s(literal 2 binary64))
(*.f64 y.im x.re)
(neg.f64 (*.f64 y.im x.re))
(*.f64 y.im (neg.f64 x.re))
(sqrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)))
(fabs.f64 (*.f64 y.im x.re))
(log.f64 (pow.f64 (exp.f64 x.re) y.im))
(*.f64 y.im x.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y.im x.re))))
(*.f64 y.im x.re)
(cbrt.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)))
(*.f64 y.im x.re)
(cbrt.f64 (*.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 y.im x.re)
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 3 binary64))))
(*.f64 y.im x.re)
(expm1.f64 (log1p.f64 (*.f64 y.im x.re)))
(log1p.f64 (expm1.f64 (*.f64 y.im x.re)))
(*.f64 y.im x.re)
(exp.f64 (log.f64 (*.f64 y.im x.re)))
(*.f64 y.im x.re)
(exp.f64 (.f64 (log.f64 (.f64 y.im x.re)) #s(literal 1 binary64)))
(*.f64 y.im x.re)
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y.im y.re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 y.im y.re)))
(*.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))
(hypot.f64 y.im y.re)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y.im y.re)))
(hypot.f64 y.im y.re)
(*.f64 (sqrt.f64 (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re)))
(hypot.f64 y.im y.re)
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 (hypot.f64 y.im y.re))))
(/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (hypot.f64 y.im y.re))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 4 binary64)) (pow.f64 (*.f64 y.im y.re) #s(literal 2 binary64)))))
(pow.f64 (hypot.f64 y.im y.re) #s(literal 1 binary64))
(hypot.f64 y.im y.re)
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 y.im y.re)
(pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 3 binary64))
(hypot.f64 y.im y.re)
(pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 y.im y.re)
(pow.f64 (sqrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(hypot.f64 y.im y.re)
(sqrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(hypot.f64 y.im y.re)
(fabs.f64 (hypot.f64 y.im y.re))
(hypot.f64 y.im y.re)
(log.f64 (exp.f64 (hypot.f64 y.im y.re)))
(hypot.f64 y.im y.re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y.im y.re))))
(hypot.f64 y.im y.re)
(cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64)))
(hypot.f64 y.im y.re)
(expm1.f64 (log1p.f64 (hypot.f64 y.im y.re)))
(log1p.f64 (expm1.f64 (hypot.f64 y.im y.re)))
(hypot.f64 y.im y.re)
(exp.f64 (log.f64 (hypot.f64 y.im y.re)))
(hypot.f64 y.im y.re)
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.im y.re)) #s(literal 1 binary64)))
(hypot.f64 y.im y.re)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(/.f64 x.im (hypot.f64 y.im y.re))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.im y.re)))
(/.f64 x.im (hypot.f64 y.im y.re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(/.f64 x.im (hypot.f64 y.im y.re))
(*.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(/.f64 x.im (hypot.f64 y.im y.re))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 x.im (hypot.f64 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) (hypot.f64 y.im y.re)))
(/.f64 x.im (hypot.f64 y.im y.re))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.im y.re)))
(/.f64 x.im (hypot.f64 y.im y.re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 (hypot.f64 y.im y.re))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x.im (cbrt.f64 (hypot.f64 y.im y.re)))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(/.f64 (/.f64 x.im (cbrt.f64 (hypot.f64 y.im y.re))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 x.im (sqrt.f64 (hypot.f64 y.im y.re))))
(/.f64 (/.f64 x.im (sqrt.f64 (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(*.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 1 binary64))
(/.f64 x.im (hypot.f64 y.im y.re))
(pow.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 3 binary64))
(/.f64 x.im (hypot.f64 y.im y.re))
(pow.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x.im (hypot.f64 y.im y.re))
(pow.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 2 binary64))
(/.f64 x.im (hypot.f64 y.im y.re))
(pow.f64 (/.f64 (hypot.f64 y.im y.re) x.im) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) x.im))
(neg.f64 (/.f64 x.im (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 x.im (hypot.f64 y.im y.re))
(neg.f64 (/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re)))
(/.f64 x.im (hypot.f64 y.im y.re))
(sqrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x.im (hypot.f64 y.im y.re)))
(log.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(/.f64 x.im (hypot.f64 y.im y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (hypot.f64 y.im y.re)))))
(/.f64 x.im (hypot.f64 y.im y.re))
(cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.im y.re)) #s(literal 3 binary64)))
(/.f64 x.im (hypot.f64 y.im y.re))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(/.f64 x.im (hypot.f64 y.im y.re))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(/.f64 x.im (hypot.f64 y.im y.re))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.im y.re))))
(/.f64 x.im (hypot.f64 y.im y.re))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.im y.re))) #s(literal 1 binary64)))
(/.f64 x.im (hypot.f64 y.im y.re))

eval456.0ms (3.6%)

Compiler: Compiled 30729 to 4463 computations (85.5% saved)

prune251.0ms (2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1215	13	1228
Fresh	5	2	7
Picked	4	1	5
Done	0	1	1
Total	1224	17	1241

Accuracy

100.0%

Counts

1241 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
▶	97.6%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im) (hypot.f64 y.im y.re)))))
	63.3%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))))
	80.5%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re))) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
	38.2%	(fma.f64 (.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) (hypot.f64 y.im y.re))) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
	54.6%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
▶	54.7%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	63.2%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	54.3%	(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
	55.5%	(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
▶	55.3%	(/.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
▶	22.3%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
▶	44.7%	(/.f64 (neg.f64 x.re) y.im)
✓	45.1%	(/.f64 x.im y.re)
	45.2%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	48.4%	(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
	45.0%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 538 to 326 computations (39.4% saved)

localize681.0ms (5.4%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
✓	cost-diff	12864	(*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))
✓	cost-diff	12864	(-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))))
✓	cost-diff	12864	(/.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
✓	cost-diff	0	(/.f64 y.re y.im)
✓	cost-diff	0	(*.f64 x.im (/.f64 y.re y.im))
✓	cost-diff	0	(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	cost-diff	0	(neg.f64 y.re)
✓	cost-diff	0	(/.f64 x.re (neg.f64 y.re))
✓	cost-diff	0	(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
✓	cost-diff	0	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
✓	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(/.f64 (neg.f64 x.re) y.im)
✓	cost-diff	6528	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im) (hypot.f64 y.im y.re))
✓	cost-diff	6528	(.f64 x.re (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im) (hypot.f64 y.im y.re)))
✓	cost-diff	6528	(neg.f64 (.f64 x.re (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im) (hypot.f64 y.im y.re))))
✓	cost-diff	25920	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im) (hypot.f64 y.im y.re)))))
✓	accuracy	99.1%	(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
✓	accuracy	98.1%	(/.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
✓	accuracy	90.5%	(*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))
✓	accuracy	76.8%	(cbrt.f64 (/.f64 y.im y.re))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	100.0%	(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
✓	accuracy	99.6%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	accuracy	91.9%	(*.f64 x.im (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 x.re (neg.f64 y.re))
✓	accuracy	100.0%	(neg.f64 y.re)
✓	accuracy	96.3%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
✓	accuracy	89.9%	(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
✓	accuracy	100.0%	(/.f64 (neg.f64 x.re) y.im)
✓	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	99.8%	(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im) (hypot.f64 y.im y.re))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im)
✓	accuracy	99.0%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im) (hypot.f64 y.im y.re)))))
✓	accuracy	96.0%	(.f64 x.re (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im) (hypot.f64 y.im y.re)))

Rules

1099×	`fmm-def`
1064×	`fma-define`
419×	`div-sub`
347×	`associate-/l*`
293×	`distribute-lft-neg-in`

Iterations

Useful iterations: 18 (0.0ms)

Iter	Nodes	Cost
0	41	809
1	101	779
2	241	763
3	689	759
4	1697	759
5	2988	759
6	4043	759
7	5070	759
8	6052	759
9	6404	759
10	6484	759
11	7081	759
12	7081	759
13	7393	759
14	7527	759
15	7539	759
16	7539	759
17	7539	759
18	7671	733

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

119.0ms

256×

valid

Compiler

Compiled 208 to 33 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

<compiled-spec>: 21.0ms (24.9% of total)

ival-mult: 20.0ms (23.7% of total)

ival-div: 19.0ms (22.6% of total)

ival-pow: 6.0ms (7.1% of total)

ival-neg: 5.0ms (5.9% of total)

ival-add: 4.0ms (4.7% of total)

ival-sqrt: 4.0ms (4.7% of total)

ival-cbrt: 2.0ms (2.4% of total)

ival-sub: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

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

series75.0ms (0.6%)

Counts

20 → 608

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
6.0ms	y.im	@	inf	(cbrt (/ y.im y.re))
3.0ms	x.re	@	0	(/ (neg x.re) y.im)
2.0ms	y.im	@	0	(cbrt (/ y.im y.re))
2.0ms	y.im	@	-inf	(cbrt (/ y.im y.re))
2.0ms	y.re	@	0	(cbrt (/ y.im y.re))

rewrite189.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

315×	`log1p-expm1-u`
315×	`expm1-log1p-u`
314×	`add-cube-cbrt`
311×	`add-exp-log`
311×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	603
1	720	511

Stop Event

1×	node limit

Counts

20 → 508

Calls

Call 1

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

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

simplify599.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-define`
354×	`*-commutative`
344×	`cancel-sign-sub-inv`
269×	`distribute-lft-in`
217×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1577	43188
1	4067	41346

Stop Event

1×	node limit

Counts

1116 → 976

Calls

Call 1

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

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

eval306.0ms (2.4%)

Compiler: Compiled 20245 to 3813 computations (81.2% saved)

prune435.0ms (3.5%)

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	963	13	976
Fresh	4	6	10
Picked	1	4	5
Done	0	2	2
Total	968	25	993

Accuracy

100.0%

Counts

993 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))))
	97.4%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (pow.f64 (cbrt.f64 (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (hypot.f64 y.im y.re)))))
	54.9%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (neg.f64 y.re)) (hypot.f64 y.im y.re)))))
✓	97.6%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) y.im) (hypot.f64 y.im y.re)))))
	63.3%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))))
	10.2%	(/.f64 (/.f64 (*.f64 y.im x.re) y.re) y.re)
	21.3%	(/.f64 (/.f64 (neg.f64 (*.f64 y.im x.re)) y.re) y.re)
	54.6%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	54.7%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
	54.7%	(/.f64 (-.f64 (.f64 x.im (.f64 y.re (/.f64 #s(literal 1 binary64) y.im))) x.re) y.im)
✓	63.2%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	55.5%	(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
	55.3%	(/.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 y.re y.im))) #s(literal 3 binary64)))) y.re)
✓	55.3%	(/.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
	22.5%	(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
▶	11.5%	(/.f64 (*.f64 y.im (/.f64 x.re y.re)) y.re)
✓	44.7%	(/.f64 (neg.f64 x.re) y.im)
▶	13.8%	(/.f64 x.re y.im)
✓	45.1%	(/.f64 x.im y.re)
	45.2%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	23.0%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.im (/.f64 y.re y.im) x.re)))
	14.1%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
▶	48.4%	(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
	45.0%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	20.7%	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 3 binary64)))

Compiler

Compiled 666 to 414 computations (37.8% saved)

localize338.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 y.im #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
✓	cost-diff	0	(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
✓	cost-diff	-6336	(-.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))
✓	cost-diff	-6336	(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
	cost-diff	0	(/.f64 y.re y.im)
✓	cost-diff	0	(/.f64 x.re (/.f64 y.re y.im))
✓	cost-diff	0	(/.f64 x.re y.re)
✓	cost-diff	0	(*.f64 y.im (/.f64 x.re y.re))
✓	cost-diff	0	(/.f64 (*.f64 y.im (/.f64 x.re y.re)) y.re)
✓	cost-diff	0	(/.f64 x.re y.im)
	cost-diff	0	(/.f64 y.re (hypot.f64 y.re y.im))
✓	cost-diff	64	(/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))
✓	cost-diff	64	(neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)))
✓	cost-diff	13120	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))))
✓	accuracy	100.0%	(/.f64 x.re y.im)
✓	accuracy	95.4%	(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
✓	accuracy	91.3%	(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
✓	accuracy	84.9%	(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	100.0%	(-.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))
✓	accuracy	98.1%	(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
✓	accuracy	90.8%	(/.f64 x.re (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 x.re y.re)
✓	accuracy	96.3%	(/.f64 (*.f64 y.im (/.f64 x.re y.re)) y.re)
✓	accuracy	89.9%	(*.f64 y.im (/.f64 x.re y.re))
✓	accuracy	100.0%	(/.f64 x.re y.im)
	accuracy	100.0%	(/.f64 y.re (hypot.f64 y.re y.im))
✓	accuracy	99.0%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))))
✓	accuracy	98.2%	(/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))
✓	accuracy	95.4%	(*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re)))

Rules

1717×	`fma-define`
634×	`fmm-def`
464×	`distribute-lft-neg-in`
463×	`div-sub`
410×	`associate-/r*`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	35	698
1	75	698
2	170	677
3	337	670
4	657	670
5	1158	670
6	1979	670
7	3458	653
8	5636	647
9	7255	647
10	7515	647
11	7549	647
12	7561	647

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

90.0ms

256×

valid

Compiler

Compiled 168 to 27 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

<compiled-spec>: 20.0ms (29.2% of total)

ival-div: 18.0ms (26.3% of total)

ival-mult: 16.0ms (23.3% of total)

ival-add: 4.0ms (5.8% of total)

ival-sqrt: 4.0ms (5.8% of total)

ival-pow: 3.0ms (4.4% of total)

ival-sub: 2.0ms (2.9% of total)

ival-neg: 1.0ms (1.5% of total)

const: 0.0ms (0% of total)

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

series45.0ms (0.4%)

Counts

15 → 444

Calls

Call 1

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

Outputs
#<alt (.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 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 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 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 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 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 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 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 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 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 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 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 x.re y.im) y.re)>
#<alt (.f64 y.im (+.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.re y.re)))>
#<alt (.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.re y.re)))>
#<alt (.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64)))))))) (/.f64 x.re y.re)))>
#<alt x.re>
#<alt (+.f64 x.re (.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)))))>
#<alt (+.f64 x.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (.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))))))>
#<alt (+.f64 x.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (.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)))))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.re) (.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)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (.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))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (.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)))))))>
#<alt x.re>
#<alt (+.f64 x.re (.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)))))>
#<alt (+.f64 x.re (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))))))>
#<alt (+.f64 x.re (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64)))))))))>
#<alt (/.f64 (*.f64 x.re y.im) y.re)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) y.re)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 x.re y.im))) y.re)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))))) (pow.f64 y.re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)))) y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (.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))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 x.re y.im)) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))))) (pow.f64 y.re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 x.re y.im)))) y.re))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.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 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 y.im (+.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.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 (+.f64 x.re (.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 (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 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 (-.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 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 x.re y.im)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.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 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 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 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im))>
#<alt (/.f64 x.re y.im)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re y.im))>
#<alt (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (+.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.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 x.re y.im) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 x.re y.im)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 x.re y.im) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 x.re y.im)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #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 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))>
#<alt (-.f64 (.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 x.re y.im))>
#<alt (-.f64 (.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 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.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) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.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) (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) 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 #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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 y.im (-.f64 (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 y.im (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 y.im (-.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 x.re (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) x.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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)))) (.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64))) (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.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 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 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 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64))) (/.f64 x.re y.im))>
#<alt (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (-.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 x.re (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (*.f64 x.re y.im)) (pow.f64 y.re #s(literal 2 binary64)))>

Calls

132 calls:

Time	Variable		Point	Expression
6.0ms	y.im	@	inf	(* x.re (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))))
1.0ms	x.re	@	inf	(- x.im (/ x.re (/ y.re y.im)))
1.0ms	x.re	@	0	(* x.re (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))))
1.0ms	y.re	@	inf	(* x.re (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))))
1.0ms	y.im	@	-inf	(* x.re (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))))

rewrite163.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

271×	`log1p-expm1-u`
271×	`expm1-log1p-u`
267×	`add-exp-log`
267×	`add-log-exp`
267×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	507
1	613	477

Stop Event

1×	node limit

Counts

15 → 501

Calls

Call 1

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

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

simplify400.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-define`
557×	`times-frac`
331×	`*-commutative`
302×	`cancel-sign-sub-inv`
217×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1453	46546
1	4072	44173

Stop Event

1×	node limit

Counts

945 → 852

Calls

Call 1

Inputs
(.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.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 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 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 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 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 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 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 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 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 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 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 y.im) y.re)
(.f64 y.im (+.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.re y.re)))
(.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.re y.re)))
(.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64)))))))) (/.f64 x.re y.re)))
x.re
(+.f64 x.re (.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 x.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (.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 x.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (.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 #s(literal -1 binary64) x.re)
(+.f64 (.f64 #s(literal -1 binary64) x.re) (.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 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (.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 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (.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)))))))
x.re
(+.f64 x.re (.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 x.re (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))))))
(+.f64 x.re (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64)))))))))
(/.f64 (*.f64 x.re y.im) y.re)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) y.re)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 x.re y.im))) y.re)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))))) (pow.f64 y.re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)))) y.re)
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))
(.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))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 x.re y.im)) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))))) (pow.f64 y.re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 x.re y.im)))) y.re))
(/.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 y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 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 y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 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 y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 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 y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 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 y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 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 y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))
(.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (+.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.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.re (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.re y.im)
(/.f64 (+.f64 x.re (.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)
(/.f64 (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 (-.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 x.re y.im)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im))
(/.f64 x.re y.im)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re y.im))
(+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
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(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))

Outputs
(.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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 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 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(.f64 y.im (+.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.re y.re)))
(.f64 y.im (fma.f64 #s(literal -1/2 binary64) (.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re y.re)))
(.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.re y.re)))
(.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (.f64 #s(literal 3/8 binary64) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.re y.re)))
(.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64)))))))) (/.f64 x.re y.re)))
(.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64))))))) (/.f64 x.re y.re)))
(.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64))) (.f64 #s(literal -5/16 binary64) (.f64 x.re (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 7 binary64)))))) (/.f64 (.f64 #s(literal -1/2 binary64) x.re) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re y.re)))
x.re
(+.f64 x.re (.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 x.re (.f64 #s(literal -1/2 binary64) (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.re)
(+.f64 x.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (.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 x.re (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 x.re (/.f64 (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x.re (/.f64 (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.re)
(+.f64 x.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (.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 x.re (fma.f64 #s(literal -1/2 binary64) (.f64 x.re (/.f64 (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 x.re (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))
(+.f64 x.re (fma.f64 #s(literal -1/2 binary64) (fma.f64 x.re (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (.f64 x.re (/.f64 (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))))
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(+.f64 (.f64 #s(literal -1 binary64) x.re) (.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)))))
(fma.f64 #s(literal -1 binary64) x.re (.f64 (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1/2 binary64) (neg.f64 x.re))
(+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (.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))))))
(fma.f64 #s(literal -1 binary64) x.re (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x.re (/.f64 (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x.re (/.f64 (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 x.re))
(+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (.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)))))))
(fma.f64 #s(literal -1 binary64) x.re (fma.f64 #s(literal 1/2 binary64) (.f64 x.re (/.f64 (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x.re (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x.re (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) (.f64 (.f64 x.re (/.f64 (.f64 (pow.f64 y.re #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) #s(literal 1/2 binary64))) x.re)
x.re
(+.f64 x.re (.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 x.re (.f64 #s(literal -1/2 binary64) (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.re)
(+.f64 x.re (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))))))
(+.f64 x.re (.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (.f64 #s(literal 3/8 binary64) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64))))))))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal 3/8 binary64) (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) x.re)) x.re)
(+.f64 x.re (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64)))))))))
(+.f64 x.re (.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64)))))))))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64))))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 y.im #s(literal 2 binary64))) x.re)) x.re)
(/.f64 (*.f64 x.re y.im) y.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re y.im)) y.re)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (.f64 x.re y.im)) y.re)
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(/.f64 (*.f64 x.re (neg.f64 y.im)) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.re y.im) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 x.re (neg.f64 (/.f64 y.im (hypot.f64 y.im y.re))))) (neg.f64 (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (*.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (*.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(pow.f64 (*.f64 (/.f64 (hypot.f64 y.im y.re) y.im) (/.f64 (hypot.f64 y.im y.re) x.re)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.im y.re) y.im) (/.f64 (hypot.f64 y.im y.re) x.re)))
(sqrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (exp.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 (.f64 (.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (*.f64 x.re y.im) #s(literal 1 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(*.f64 y.im y.im)
(pow.f64 y.im #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 y.im #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 y.im #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(pow.f64 y.im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 y.im #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(pow.f64 y.im #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(pow.f64 y.im #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))
(pow.f64 y.im #s(literal 2 binary64))

eval139.0ms (1.1%)

Compiler: Compiled 23842 to 3568 computations (85% saved)

prune206.0ms (1.6%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	999	6	1005
Fresh	4	10	14
Picked	2	3	5
Done	3	3	6
Total	1008	22	1030

Accuracy

100.0%

Counts

1030 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (hypot.f64 y.im y.re) y.im) (/.f64 (hypot.f64 y.im y.re) x.re))))
	63.3%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 #s(literal 1 binary64) y.im))))
	58.5%	(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))))
	10.2%	(/.f64 (/.f64 (*.f64 y.im x.re) y.re) y.re)
	21.3%	(/.f64 (/.f64 (neg.f64 (*.f64 y.im x.re)) y.re) y.re)
	54.6%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	54.7%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
	54.7%	(/.f64 (-.f64 (.f64 x.im (.f64 y.re (/.f64 #s(literal 1 binary64) y.im))) x.re) y.im)
	55.4%	(/.f64 (-.f64 x.im (/.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 3 binary64)))) y.re)
✓	55.5%	(/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
	22.5%	(/.f64 (*.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.re)
✓	11.5%	(/.f64 (*.f64 y.im (/.f64 x.re y.re)) y.re)
✓	44.7%	(/.f64 (neg.f64 x.re) y.im)
	39.4%	(/.f64 (expm1.f64 (log1p.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))) y.re)
✓	13.8%	(/.f64 x.re y.im)
✓	45.1%	(/.f64 x.im y.re)
	55.4%	(/.f64 #s(literal 1 binary64) (/.f64 y.re (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
	45.2%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	14.1%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	51.5%	(-.f64 (*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im)) (/.f64 x.re y.im))
	45.0%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	20.7%	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re y.im) x.re) y.im) #s(literal 3 binary64)))

Compiler

Compiled 880 to 365 computations (58.5% saved)

regimes140.0ms (1.1%)

Counts

45 → 1

Calls

Call 1

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

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

Calls

5 calls:

81.0ms	x.re
14.0ms	y.im
14.0ms	y.re
13.0ms	x.im
12.0ms	(/.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
98.8%	1	`x.re`
98.8%	1	`x.im`
98.8%	1	`y.re`
98.8%	1	`y.im`
98.8%	1	`(/.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)

regimes66.0ms (0.5%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	y.im
13.0ms	x.re
12.0ms	x.im
12.0ms	y.re
12.0ms	(/.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
97.6%	1	`x.re`
97.6%	1	`x.im`
97.6%	1	`y.re`
97.6%	1	`y.im`
97.6%	1	`(/.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)

regimes69.0ms (0.6%)

Counts

39 → 5

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	y.im
14.0ms	x.im
13.0ms	x.re
12.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
11.0ms	y.re

Results

Accuracy	Segments	Branch
86.5%	3	`x.re`
85.9%	3	`x.im`
87.5%	3	`y.re`
96.5%	5	`y.im`
90.4%	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)

regimes235.0ms (1.9%)

Counts

37 → 2

Calls

Call 1

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

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

Calls

2 calls:

221.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
11.0ms	y.im

Results

Accuracy	Segments	Branch
90.4%	2	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
93.5%	5	`y.im`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes26.0ms (0.2%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
10.0ms	y.im

Results

Accuracy	Segments	Branch
92.7%	5	`y.im`
88.6%	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 24 to 15 computations (37.5% saved)

regimes35.0ms (0.3%)

Counts

33 → 5

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.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.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)

Calls

3 calls:

12.0ms	y.re
11.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
10.0ms	y.im

Results

Accuracy	Segments	Branch
84.1%	6	`y.re`
89.8%	5	`y.im`
78.1%	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 29 to 19 computations (34.5% saved)

regimes20.0ms (0.2%)

Counts

26 → 5

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x.re
8.0ms	y.im

Results

Accuracy	Segments	Branch
67.1%	2	`x.re`
89.1%	5	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes221.0ms (1.8%)

Counts

22 → 4

Calls

Call 1

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

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

Calls

2 calls:

213.0ms	x.im
7.0ms	y.im

Results

Accuracy	Segments	Branch
68.1%	4	`x.im`
86.5%	4	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

y.im

Results

Accuracy	Segments	Branch
84.8%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

y.im

Results

Accuracy	Segments	Branch
84.1%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

y.im

Results

Accuracy	Segments	Branch
80.5%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

y.im

Results

Accuracy	Segments	Branch
80.4%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y.re
4.0ms	y.im

Results

Accuracy	Segments	Branch
64.3%	3	`y.re`
72.1%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	y.im
2.0ms	x.re
2.0ms	y.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
45.1%	1	`y.re`
45.1%	1	`x.im`
45.1%	1	`x.re`
51.8%	3	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y.re
1.0ms	y.im

Results

Accuracy	Segments	Branch
45.1%	1	`y.re`
45.1%	1	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch85.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	3.6718665627204163e+164	5.312598268040427e+167
17.0ms	4.3868246182953e-257	3.522702648726079e-248
26.0ms	-1.1169988296933589e-69	-1.1512680194836962e-91
17.0ms	-3.467689747563679e+160	-5.825039032329631e+156

Results

56.0ms

576×

valid

Compiler

Compiled 1530 to 877 computations (42.7% saved)

Precisions

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

ival-mult: 23.0ms (69.1% of total)

ival-div: 4.0ms (12% of total)

ival-sub: 3.0ms (9% of total)

ival-add: 3.0ms (9% of total)

const: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch150.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	3.6718665627204163e+164	5.312598268040427e+167
15.0ms	6.289127628997114e-18	1.8547636152409914e-15
86.0ms	-1.1169988296933589e-69	-1.1512680194836962e-91
22.0ms	-5.807631561885747e+43	-3.961007957919065e+26

Results

125.0ms

592×

valid

Compiler

Compiled 1204 to 778 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 18.0ms (64.1% of total)

ival-div: 4.0ms (14.2% of total)

ival-sub: 3.0ms (10.7% of total)

ival-add: 3.0ms (10.7% of total)

const: 1.0ms (3.6% of total)

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

bsearch114.0ms (0.9%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	3.6718665627204163e+164	5.312598268040427e+167
52.0ms	6.289127628997114e-18	1.8547636152409914e-15
20.0ms	-1.1169988296933589e-69	-1.1512680194836962e-91
22.0ms	-5.807631561885747e+43	-3.961007957919065e+26

Results

52.0ms

592×

valid

Compiler

Compiled 1284 to 794 computations (38.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 18.0ms (64% of total)

ival-div: 4.0ms (14.2% of total)

ival-sub: 3.0ms (10.7% of total)

ival-add: 3.0ms (10.7% of total)

const: 1.0ms (3.6% of total)

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

bsearch54.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	3.6718665627204163e+164	5.312598268040427e+167
15.0ms	6.289127628997114e-18	1.8547636152409914e-15
19.0ms	-66284949.59173957	-111643.25412543627

Results

34.0ms

384×

valid

Compiler

Compiled 746 to 481 computations (35.5% saved)

Precisions

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

ival-mult: 11.0ms (52.6% of total)

ival-sub: 5.0ms (23.9% of total)

ival-div: 3.0ms (14.4% of total)

ival-add: 2.0ms (9.6% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.289127628997114e-18	1.8547636152409914e-15
18.0ms	-66284949.59173957	-111643.25412543627

Results

27.0ms

256×

valid

Compiler

Compiled 474 to 305 computations (35.7% saved)

Precisions

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

ival-mult: 10.0ms (56.1% of total)

ival-div: 5.0ms (28% of total)

ival-sub: 1.0ms (5.6% of total)

ival-add: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.289127628997114e-18	1.8547636152409914e-15
17.0ms	-66284949.59173957	-111643.25412543627

Results

25.0ms

256×

valid

Compiler

Compiled 474 to 305 computations (35.7% saved)

Precisions

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

ival-mult: 8.0ms (67.1% of total)

ival-div: 2.0ms (16.8% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.289127628997114e-18	1.8547636152409914e-15
15.0ms	-7.164893884956392e+47	-5.807631561885747e+43

Results

23.0ms

256×

valid

Compiler

Compiled 394 to 273 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (66.8% of total)

ival-div: 2.0ms (14.9% of total)

ival-sub: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.289127628997114e-18	1.8547636152409914e-15
14.0ms	-7.164893884956392e+47	-5.807631561885747e+43

Results

23.0ms

256×

valid

Compiler

Compiled 394 to 273 computations (30.7% saved)

Precisions

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

ival-mult: 9.0ms (65.5% of total)

ival-div: 2.0ms (14.6% of total)

ival-sub: 1.0ms (7.3% of total)

ival-add: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.289127628997114e-18	1.8547636152409914e-15
16.0ms	-7.164893884956392e+47	-5.807631561885747e+43

Results

22.0ms

256×

valid

Compiler

Compiled 298 to 225 computations (24.5% saved)

Precisions

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

ival-mult: 8.0ms (58.7% of total)

ival-sub: 3.0ms (22% of total)

ival-div: 2.0ms (14.7% of total)

ival-add: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch73.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.340905864211418e+181	3.5993160465675027e+183
58.0ms	-1.619595744563809e+166	-3.467689747563679e+160

Results

21.0ms

256×

valid

Compiler

Compiled 282 to 209 computations (25.9% saved)

Precisions

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

ival-mult: 8.0ms (65.6% of total)

ival-div: 2.0ms (16.4% of total)

ival-sub: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

80×	`neg-mul-1`
65×	`unsub-neg`
45×	`*-commutative`
41×	`distribute-lft-neg-in`
41×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2314
1	230	2314
2	307	2314
3	362	2306
4	398	2306
5	518	2306
6	688	2306
7	706	2306
8	712	2306

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(if (<=.f64 y.im #s(literal -5899999999999999673175470666734070856511868068611403380244191898097196949938813942924312822142736321427068433261138963465817036610521847177252979987051446272 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -8513466862555145/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (if (<=.f64 y.im #s(literal 8816866202234403/251910462920982955146951572855242064723418868082104455055218081010186148908960752236565235084370225856148908135059894885483907489539473312974233140212507046179002134322645704349866637075627537275802723363977045251916898867011814946574400376685636747593659677933568 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (if (<=.f64 y.im #s(literal 370000000000000005774512305815251466999494378766238828368098849691767894104465590829782478839655887574654038293242865020142532239629636858680850130980411401228517376 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 #s(literal 1 binary64) y.im))))))))
(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 +inf.0 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))) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 #s(literal 1 binary64) y.im)))))
(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 +inf.0 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 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im))
(if (<=.f64 y.im #s(literal -2800000000000000012524538782683276247040 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -6719234226533413/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 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.im #s(literal 7910139745424151/20282409603651670423947251286016 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (if (<=.f64 y.im #s(literal 370000000000000005774512305815251466999494378766238828368098849691767894104465590829782478839655887574654038293242865020142532239629636858680850130980411401228517376 binary64)) (.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -2800000000000000012524538782683276247040 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -3762771166858711/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 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.im #s(literal 4867778304876401/10141204801825835211973625643008 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (if (<=.f64 y.im #s(literal 370000000000000005774512305815251466999494378766238828368098849691767894104465590829782478839655887574654038293242865020142532239629636858680850130980411401228517376 binary64)) (/.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)))))
(if (<=.f64 y.im #s(literal -12000000 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 7910139745424151/5070602400912917605986812821504 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (if (<=.f64 y.im #s(literal 370000000000000005774512305815251466999494378766238828368098849691767894104465590829782478839655887574654038293242865020142532239629636858680850130980411401228517376 binary64)) (/.f64 (.f64 x.re (neg.f64 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))))
(if (<=.f64 y.im #s(literal -8200000 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 1077503010193995/633825300114114700748351602688 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -1020000 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 4436777100798803/2535301200456458802993406410752 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -17999999999999999369456502555754622707105267712 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 7301667457314601/81129638414606681695789005144064 binary64)) (/.f64 (-.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -270000000000000000049227040048039851831853056 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 4436777100798803/2535301200456458802993406410752 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -230000000000000004443498729351904554905501696 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 7707315649387635/81129638414606681695789005144064 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -13800000000000000420997373215436703010919472523538677032810808595305248244487327696953670078679792242178999533588451526509029861224092098809020099142163070793547776 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 84999999999999996639927458639776081389935590357490581217826453806793183919533727372149152887769466269539063235423170127846861597475684209203041434638139897189247731739717895379222528 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(/.f64 x.im y.re)

Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (*.f64 x.re (/.f64 y.im (hypot.f64 y.im y.re))) (neg.f64 (hypot.f64 y.im y.re))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (neg.f64 (hypot.f64 y.im y.re)))))
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(if (or (<=.f64 y.im #s(literal -230000000000000004443498729351904554905501696 binary64)) (not (<=.f64 y.im #s(literal 7707315649387635/81129638414606681695789005144064 binary64)))) (neg.f64 (/.f64 x.re y.im)) (/.f64 x.im y.re))
(if (or (<=.f64 y.im #s(literal -230000000000000004443498729351904554905501696 binary64)) (not (<=.f64 y.im #s(literal 7707315649387635/81129638414606681695789005144064 binary64)))) (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
(if (<=.f64 y.im #s(literal -13800000000000000420997373215436703010919472523538677032810808595305248244487327696953670078679792242178999533588451526509029861224092098809020099142163070793547776 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 84999999999999996639927458639776081389935590357490581217826453806793183919533727372149152887769466269539063235423170127846861597475684209203041434638139897189247731739717895379222528 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(if (or (<=.f64 y.im #s(literal -13800000000000000420997373215436703010919472523538677032810808595305248244487327696953670078679792242178999533588451526509029861224092098809020099142163070793547776 binary64)) (not (<=.f64 y.im #s(literal 84999999999999996639927458639776081389935590357490581217826453806793183919533727372149152887769466269539063235423170127846861597475684209203041434638139897189247731739717895379222528 binary64)))) (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.im y.re)

soundness2.0s (15.8%)

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
704×	`fma-define`
663×	`fmm-def`
621×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1577	43188
1	4067	41346
0	41	603
1	720	511
0	679	19256
1	1703	16536
2	5536	16180
0	18	137
1	268	132
2	3887	132
0	1611	49294
1	4386	47815
0	36	487
1	619	451

Stop Event

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

Compiler

Compiled 2142 to 574 computations (73.2% saved)

preprocess152.0ms (1.2%)

Compiler: Compiled 1160 to 312 computations (73.1% saved)

analyze35.0ms (0.3%)

sample1.2s (9.8%)

preprocess284.0ms (2.3%)

explain108.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize138.0ms (1.1%)

series21.0ms (0.2%)

rewrite410.0ms (3.3%)

simplify440.0ms (3.5%)

eval54.0ms (0.4%)

prune75.0ms (0.6%)

localize716.0ms (5.7%)

series147.0ms (1.2%)

rewrite225.0ms (1.8%)

simplify625.0ms (5%)

eval456.0ms (3.6%)

prune251.0ms (2%)

localize681.0ms (5.4%)

series75.0ms (0.6%)

rewrite189.0ms (1.5%)

simplify599.0ms (4.8%)

eval306.0ms (2.4%)

prune435.0ms (3.5%)

localize338.0ms (2.7%)

series45.0ms (0.4%)

rewrite163.0ms (1.3%)

simplify400.0ms (3.2%)

eval139.0ms (1.1%)

prune206.0ms (1.6%)

regimes140.0ms (1.1%)

regimes66.0ms (0.5%)

regimes69.0ms (0.6%)

regimes235.0ms (1.9%)

regimes26.0ms (0.2%)

regimes35.0ms (0.3%)

regimes20.0ms (0.2%)

regimes221.0ms (1.8%)

regimes8.0ms (0.1%)

regimes6.0ms (0%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch85.0ms (0.7%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch150.0ms (1.2%)

bsearch114.0ms (0.9%)

bsearch54.0ms (0.4%)

bsearch37.0ms (0.3%)

bsearch36.0ms (0.3%)

bsearch34.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch73.0ms (0.6%)

simplify77.0ms (0.6%)

soundness2.0s (15.8%)

preprocess152.0ms (1.2%)

end0.0ms (0%)

Profiling