Metrics for _divideComplex, real part

analyze38.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

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

Operation ival-mult, time spent: 11.0ms, 67.0% of total-time

Operation ival-add, time spent: 3.0ms, 18.0% of total-time

Operation ival-div, time spent: 2.0ms, 12.0% of total-time

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

sample1.9s (20%)

Results

1.7s	7807×	256	valid
63.0ms	448×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 740.0ms

Operation ival-mult, time spent: 415.0ms, 56.0% of total-time

Operation ival-add, time spent: 191.0ms, 26.0% of total-time

Operation ival-div, time spent: 125.0ms, 17.0% of total-time

Operation const, time spent: 9.0ms, 1.0% of total-time

Bogosity

preprocess525.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1573×	`fma-neg`
912×	`fma-define`
864×	`times-frac`
552×	`div-sub`
333×	`unsub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
106	-	6	(1.6952295834093763e-180 9.271927267797387e-153 1.4284106137534047e-280 -1.940810120637553e-157)	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
2	-	0	-	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
0	-	0	-	`x.im`
0	-	0	-	`y.im`
0	-	0	-	`(*.f64 x.im y.im)`
0	-	0	-	`y.re`
0	-	0	-	`x.re`
0	-	0	-	`(*.f64 y.im y.im)`
0	-	0	-	`(*.f64 x.re y.re)`
0	-	0	-	`(*.f64 y.re y.re)`
0	-	0	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	976
1	162	976
2	263	976
3	486	976
4	1176	976
5	3121	976
6	4441	976
7	5612	976
8	6468	976
9	6875	976
10	7003	976
11	7173	976
12	7627	976
13	7627	976
14	7627	976
15	7627	976
16	7987	976

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

Operation ival-mult, time spent: 16.0ms, 53.0% of total-time

Operation ival-div, time spent: 7.0ms, 23.0% of total-time

Operation ival-add, time spent: 6.0ms, 20.0% of total-time

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

eval0.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.4%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize55.0ms (0.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.4%	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	61.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

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

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

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

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

series23.0ms (0.2%)

Counts

2 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	y.im	@	-inf	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.re	@	0	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.im	@	inf	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.re	@	-inf	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.im	@	0	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite262.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`log1p-expm1-u`
819×	`expm1-log1p-u`
503×	`fma-define`
241×	`fma-neg`
218×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	254	78
2	3543	78

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

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

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

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

441×	`cancel-sign-sub-inv`
431×	`distribute-rgt-in`
419×	`distribute-lft-neg-in`
418×	`distribute-lft-in`
373×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	432	9779
1	1161	9249
2	3761	9189

Stop Event

1×	node limit

Counts

199 → 219

Calls

Call 1

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

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

eval56.0ms (0.6%)

Compiler: Compiled 4431 to 1678 computations (62.1% saved)

prune44.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	207	12	219
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	208	12	220

Accuracy

99.9%

Counts

220 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	54.6%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
▶	55.4%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
▶	38.0%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	53.0%	(/.f64 (.f64 x.re (+.f64 y.re (.f64 x.im (/.f64 y.im x.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	42.3%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	36.3%	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) #s(literal 3 binary64))) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	40.8%	(/.f64 x.re y.re)
▶	46.0%	(/.f64 x.im y.im)
	46.0%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
	75.5%	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
▶	76.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))

Compiler

Compiled 378 to 222 computations (41.3% saved)

localize142.0ms (1.5%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	67.5%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	100.0%	(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
✓	99.2%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
✓	91.7%	(/.f64 (*.f64 x.im y.im) y.re)
✓	99.6%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
✓	90.8%	(*.f64 x.re (/.f64 y.re y.im))
✓	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	99.6%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
✓	77.1%	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))

Compiler

Compiled 144 to 28 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

Operation ival-mult, time spent: 20.0ms, 31.0% of total-time

Operation ival-div, time spent: 17.0ms, 27.0% of total-time

Operation composed, time spent: 16.0ms, 25.0% of total-time

Operation ival-add, time spent: 8.0ms, 13.0% of total-time

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

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

series59.0ms (0.6%)

Counts

10 → 366

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	0	(/ (+ x.im (* x.re (/ y.re y.im))) y.im)
3.0ms	y.re	@	inf	(/ (* y.re x.re) (+ (* y.re y.re) (* y.im y.im)))
2.0ms	y.re	@	0	(* x.re (/ y.re y.im))
2.0ms	x.re	@	inf	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	x.re	@	0	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite245.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`log1p-expm1-u`
239×	`expm1-log1p-u`
237×	`add-cube-cbrt`
234×	`add-exp-log`
234×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	344
1	527	322
2	7982	322

Stop Event

1×	node limit

Counts

10 → 362

Calls

Call 1

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

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

simplify288.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-define`
460×	`times-frac`
359×	`*-commutative`
324×	`distribute-rgt-in`
322×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1285	34549
1	3505	33210

Stop Event

1×	node limit

Counts

728 → 803

Calls

Call 1

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

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

eval224.0ms (2.4%)

Compiler: Compiled 15926 to 6906 computations (56.6% saved)

prune175.0ms (1.9%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	787	16	803
Fresh	4	3	7
Picked	2	3	5
Done	0	0	0
Total	793	22	815

Accuracy

100.0%

Counts

815 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.2%	(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
▶	76.3%	(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))))
	54.4%	(/.f64 (+.f64 x.re (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))) y.re)
	53.4%	(/.f64 (+.f64 x.re (.f64 y.im (.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
	55.4%	(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
✓	55.4%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
✓	38.0%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	53.0%	(/.f64 (.f64 x.re (+.f64 y.re (.f64 x.im (/.f64 y.im x.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.2%	(/.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 y.im (*.f64 y.re x.re))))) y.re)
	24.9%	(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
▶	42.3%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	40.8%	(/.f64 x.re y.re)
✓	46.0%	(/.f64 x.im y.im)
	54.4%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.re y.im) x.im)))
	54.4%	(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
▶	55.6%	(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
	31.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 x.im (/.f64 y.im y.re) x.re))
	36.4%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
	51.0%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 x.im y.im) (hypot.f64 y.re y.im)))
	30.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)))
▶	30.2%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
	39.1%	(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im) #s(literal 3 binary64)))

Compiler

Compiled 611 to 382 computations (37.5% saved)

localize338.0ms (3.6%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 x.re (hypot.f64 y.re y.im))
✓	100.0%	(/.f64 y.re (hypot.f64 y.re y.im))
✓	98.5%	(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
✓	71.8%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
	99.6%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im))))
✓	77.0%	(/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re y.re (*.f64 x.im y.im)))

Compiler

Compiled 134 to 29 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

Operation ival-mult, time spent: 22.0ms, 32.0% of total-time

Operation ival-div, time spent: 19.0ms, 28.0% of total-time

Operation composed, time spent: 16.0ms, 24.0% of total-time

Operation ival-add, time spent: 8.0ms, 12.0% of total-time

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

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

series55.0ms (0.6%)

Counts

7 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
6.0ms	x.re	@	0	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
3.0ms	x.im	@	-inf	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
2.0ms	y.re	@	0	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms	y.im	@	inf	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) x.re)
1.0ms	x.im	@	inf	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))

rewrite204.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`prod-diff`
336×	`log1p-expm1-u`
182×	`expm1-log1p-u`
180×	`add-exp-log`
179×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	264
1	426	236
2	6019	236

Stop Event

1×	node limit

Counts

7 → 292

Calls

Call 1

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

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

simplify473.0ms (5%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-define`
840×	`times-frac`
432×	`*-commutative`
235×	`mul-1-neg`
221×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1392	34422
1	4252	32386

Stop Event

1×	node limit

Counts

556 → 737

Calls

Call 1

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

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

eval671.0ms (7.1%)

Compiler: Compiled 28742 to 15736 computations (45.3% saved)

prune358.0ms (3.8%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	1142	11	1153
Fresh	4	10	14
Picked	3	2	5
Done	0	3	3
Total	1149	26	1175

Accuracy

100.0%

Counts

1175 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.2%	(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
	55.5%	(/.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.re))
	50.3%	(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	54.4%	(/.f64 (+.f64 x.re (pow.f64 (cbrt.f64 (*.f64 x.im (/.f64 y.im y.re))) #s(literal 3 binary64))) y.re)
	53.4%	(/.f64 (+.f64 x.re (.f64 y.im (.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
	55.4%	(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
✓	55.4%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
✓	38.0%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	53.0%	(/.f64 (.f64 x.re (+.f64 y.re (.f64 x.im (/.f64 y.im x.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	52.2%	(/.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 y.im (*.f64 y.re x.re))))) y.re)
	24.9%	(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
✓	42.3%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	9.5%	(/.f64 (neg.f64 x.re) y.re)
	9.5%	(/.f64 (neg.f64 x.re) y.im)
	30.3%	(/.f64 x.re (hypot.f64 y.re y.im))
✓	40.8%	(/.f64 x.re y.re)
▶	10.6%	(/.f64 x.re y.im)
✓	46.0%	(/.f64 x.im y.im)
	54.4%	(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
	18.2%	(*.f64 (/.f64 y.re y.im) (/.f64 x.re (hypot.f64 y.re y.im)))
▶	60.8%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	36.4%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) #s(literal 2 binary64)))
▶	30.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)))
▶	40.7%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
	10.6%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.re)
	9.5%	(*.f64 (/.f64 #s(literal -1 binary64) y.im) x.re)

Compiler

Compiled 615 to 396 computations (35.6% saved)

localize191.0ms (2%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
	100.0%	(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
✓	91.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)))
	91.7%	(/.f64 (*.f64 x.im y.im) y.re)
✓	99.2%	(/.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 y.im (*.f64 y.re x.re))))) y.re)
✓	92.5%	(.f64 x.im (/.f64 y.im (.f64 y.re x.re)))
✓	89.6%	(/.f64 y.im (*.f64 y.re x.re))
✓	89.3%	(.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 y.im (*.f64 y.re x.re)))))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
✓	100.0%	(/.f64 y.im (hypot.f64 y.re y.im))
✓	96.7%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))

Compiler

Compiled 142 to 38 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

Operation ival-div, time spent: 23.0ms, 37.0% of total-time

Operation ival-mult, time spent: 18.0ms, 29.0% of total-time

Operation composed, time spent: 9.0ms, 15.0% of total-time

Operation ival-add, time spent: 7.0ms, 11.0% of total-time

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

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

series43.0ms (0.5%)

Counts

8 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
2.0ms	x.re	@	-inf	(* x.re (+ 1 (* x.im (/ y.im (* y.re x.re)))))
2.0ms	x.im	@	-inf	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ x.re (/ (* x.im y.im) y.re)))
1.0ms	y.re	@	-inf	(* x.im (/ y.im (* y.re x.re)))
1.0ms	y.re	@	inf	(/ y.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	y.im	@	-inf	(/ y.im (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite240.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

428×	`log1p-expm1-u`
247×	`associate-r`
230×	`expm1-log1p-u`
227×	`add-exp-log`
227×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	287
1	509	263
2	7943	263

Stop Event

1×	node limit

Counts

8 → 293

Calls

Call 1

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

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

simplify237.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

606×	`associate-r`
565×	`associate-l`
444×	`fma-define`
376×	`times-frac`
265×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1041	27023
1	2876	26193

Stop Event

1×	node limit

Counts

605 → 608

Calls

Call 1

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

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

eval268.0ms (2.8%)

Compiler: Compiled 16111 to 7416 computations (54% saved)

prune191.0ms (2%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	802	9	811
Fresh	3	13	16
Picked	2	3	5
Done	0	5	5
Total	807	30	837

Accuracy

100.0%

Counts

837 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.2%	(/.f64 (/.f64 (*.f64 x.im y.im) y.re) y.re)
	55.5%	(/.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.re))
	60.8%	(/.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
	53.4%	(/.f64 (+.f64 x.re (.f64 y.im (.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
	55.4%	(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
✓	55.4%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
	62.6%	(/.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (neg.f64 x.im)) (neg.f64 (hypot.f64 y.re y.im)))
✓	38.0%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	53.0%	(/.f64 (.f64 x.re (+.f64 y.re (.f64 x.im (/.f64 y.im x.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	51.4%	(/.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im (.f64 y.re (/.f64 x.re y.im))))) y.re)
	49.5%	(/.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 y.re x.re) (*.f64 y.im x.im))))) y.re)
✓	52.2%	(/.f64 (.f64 x.re (+.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 y.im (*.f64 y.re x.re))))) y.re)
	24.9%	(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
✓	42.3%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	9.5%	(/.f64 (neg.f64 x.re) y.re)
	9.5%	(/.f64 (neg.f64 x.re) y.im)
	8.1%	(/.f64 (neg.f64 x.im) y.re)
	30.3%	(/.f64 x.re (hypot.f64 y.re y.im))
✓	40.8%	(/.f64 x.re y.re)
✓	10.6%	(/.f64 x.re y.im)
	9.4%	(/.f64 x.im y.re)
✓	46.0%	(/.f64 x.im y.im)
	54.4%	(*.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (/.f64 #s(literal 1 binary64) y.re))
	18.2%	(*.f64 (/.f64 y.re y.im) (/.f64 x.re (hypot.f64 y.re y.im)))
	16.3%	(*.f64 (/.f64 y.im y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
	30.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (.f64 y.im (*.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))))
	15.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.im y.re)))
✓	40.7%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
	10.6%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.re)
	9.5%	(*.f64 (/.f64 #s(literal -1 binary64) y.im) x.re)

Compiler

Compiled 888 to 417 computations (53% saved)

regimes348.0ms (3.7%)

Counts

49 → 2

Calls

Call 1

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

Calls

5 calls:

118.0ms	y.im
83.0ms	x.re
68.0ms	x.im
60.0ms	y.re
15.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
83.5%	5	`x.re`
87.3%	8	`x.im`
90.8%	5	`y.re`
90.0%	8	`y.im`
87.2%	2	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes91.0ms (1%)

Counts

44 → 5

Calls

Call 1

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

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

Calls

2 calls:

61.0ms	y.re
26.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
87.8%	5	`y.re`
82.8%	5	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes39.0ms (0.4%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	y.im
16.0ms	y.re

Results

Accuracy	Segments	Branch
80.0%	3	`y.im`
84.8%	5	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes16.0ms (0.2%)

Counts

18 → 5

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

y.re

Results

Accuracy	Segments	Branch
84.6%	5	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.1%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

y.re

Results

Accuracy	Segments	Branch
84.5%	5	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes52.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	x.im
12.0ms	x.re
11.0ms	y.im
11.0ms	y.re

Results

Accuracy	Segments	Branch
59.5%	4	`x.im`
71.5%	3	`y.im`
58.0%	3	`x.re`
76.6%	3	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes29.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	y.re
10.0ms	y.im

Results

Accuracy	Segments	Branch
66.5%	3	`y.im`
71.6%	7	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Accuracy

Total -27.0b remaining (-78%)

Threshold costs -27b (-78%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
46.0%	1	`x.im`
46.0%	1	`x.re`
46.0%	1	`y.re`
46.0%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.962502095452666e+304	+inf

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch81.0ms (0.9%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
26.0ms	1.3425339550294091e+51	6.984531637410711e+63
20.0ms	2.7089850603563602e-95	3.295829921779716e-93
18.0ms	-1.3675689834833622e-157	-2.173853703394827e-159
16.0ms	-7.697309478148502e+85	-1.853348370460606e+85

Results

63.0ms	445×	256	valid
4.0ms	34×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 1066 to 667 computations (37.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

Operation ival-mult, time spent: 13.0ms, 55.0% of total-time

Operation ival-add, time spent: 6.0ms, 25.0% of total-time

Operation ival-div, time spent: 4.0ms, 17.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch98.0ms (1%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
23.0ms	1.4982139557304123e+28	3.9801855610155504e+35
31.0ms	-3.3374806252267926e-38	-8.846701668345556e-61
24.0ms	-2.918032661705103e+38	-4.862425306722901e+29
19.0ms	-1.1068287534927645e+104	-1.0040297098537596e+102

Results

83.0ms	571×	256	valid
1.0ms	4×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 1092 to 723 computations (33.8% saved)

Precisions

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

Operation ival-mult, time spent: 17.0ms, 59.0% of total-time

Operation ival-add, time spent: 6.0ms, 21.0% of total-time

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

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

bsearch96.0ms (1%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	2.1197419815425834e-19	1.502280718166625e-16
32.0ms	-3.3374806252267926e-38	-8.846701668345556e-61
25.0ms	-2.918032661705103e+38	-4.862425306722901e+29
19.0ms	-1.1068287534927645e+104	-1.0040297098537596e+102

Results

84.0ms	554×	256	valid
1.0ms	5×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 1006 to 647 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-mult, time spent: 16.0ms, 60.0% of total-time

Operation ival-add, time spent: 6.0ms, 22.0% of total-time

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

Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch96.0ms (1%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	2.1197419815425834e-19	1.502280718166625e-16
28.0ms	-3.3374806252267926e-38	-8.846701668345556e-61
29.0ms	-2.918032661705103e+38	-4.862425306722901e+29
17.0ms	-1.1068287534927645e+104	-1.0040297098537596e+102

Results

84.0ms	556×	256	valid
0.0ms	3×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 1006 to 647 computations (35.7% saved)

Precisions

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

Operation ival-mult, time spent: 17.0ms, 61.0% of total-time

Operation ival-add, time spent: 6.0ms, 21.0% of total-time

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

Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.3450298082120675e+82	4.2128520893612806e+99
19.0ms	-1.1068287534927645e+104	-1.0040297098537596e+102

Results

38.0ms	271×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 400 to 272 computations (32% saved)

Precisions

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

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

Operation ival-add, time spent: 3.0ms, 23.0% of total-time

Operation ival-div, time spent: 2.0ms, 15.0% of total-time

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.310298954901993e+22	9.078772163292986e+22
23.0ms	-1418.2754728541727	-0.00021012100637464467

Results

32.0ms	223×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 250 to 185 computations (26% saved)

Precisions

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

Operation ival-mult, time spent: 6.0ms, 50.0% of total-time

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

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

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

simplify33.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

14×	`if-if-or-not`
12×	`not-or`
8×	`if-not`
8×	`not-not`
7×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1330
1	140	1264
2	146	1231
3	155	1223
4	160	1223
5	165	1223
6	166	1223
7	167	1223

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -65999999999999998204927346508316105070120492288257052931944723085051937975566092730368 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -1422149808470351/30916300184138066757562815127455898754391418637651479989257882011612153138316483396289550132655380623699708928252017417418920629288343901245943269387736645989575846518587392 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 493193942382505/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 4200000000000000215600276059498843558733099881104863221776384 binary64)) (/.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 x.re (.f64 y.im (.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)))))
(if (<=.f64 y.re #s(literal -1080000000000000024945797967443627774260814952200166016666010732445324672401650793523471899293370023936 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -290000000000000006694174640057505284096 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal -8428725474762389/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (+.f64 x.re (.f64 y.im (.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (if (<=.f64 y.re #s(literal 3199999999999999725860827430912 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (.f64 y.im (*.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)))))
(if (<=.f64 y.re #s(literal -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -39999999999999998155050632808484569088 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal -68962299338965/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (if (<=.f64 y.re #s(literal 1784852045121347/324518553658426726783156020576256 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -2800000000000000078194947685089280 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 7301667457314601/81129638414606681695789005144064 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -18999999999999998444963470117641451090879953348211959890443584225875511350391060305153096316948624441344 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 3000000000000000031013862536714894937294116807418968812976214494220027620893351422050332294774784 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.im #s(literal -8762203435012037/9223372036854775808 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 56000000000000000000000 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(/.f64 x.im y.im)

Outputs
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 19999999999999998785071050110729243720080574440234649906381543142646409126026467805686618514881015496873712236112324345157434387485272061060471597681733765549974602883364022082135420506324881811687439605097103198153279365101643665319098224539215899610692069837325144812815208761691919724149808696276287488 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
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(if (<=.f64 y.re #s(literal -1080000000000000024945797967443627774260814952200166016666010732445324672401650793523471899293370023936 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -290000000000000006694174640057505284096 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (or (<=.f64 y.re #s(literal -8428725474762389/1532495540865888858358347027150309183618739122183602176 binary64)) (not (<=.f64 y.re #s(literal 3199999999999999725860827430912 binary64)))) (/.f64 (+.f64 x.re (.f64 y.im (.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.re #s(literal -1080000000000000024945797967443627774260814952200166016666010732445324672401650793523471899293370023936 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (or (<=.f64 y.re #s(literal -290000000000000006694174640057505284096 binary64)) (not (or (<=.f64 y.re #s(literal -8428725474762389/1532495540865888858358347027150309183618739122183602176 binary64)) (not (<=.f64 y.re #s(literal 3199999999999999725860827430912 binary64)))))) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (.f64 y.im (.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)))
(if (<=.f64 y.re #s(literal -1080000000000000024945797967443627774260814952200166016666010732445324672401650793523471899293370023936 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (or (<=.f64 y.re #s(literal -290000000000000006694174640057505284096 binary64)) (and (not (<=.f64 y.re #s(literal -8428725474762389/1532495540865888858358347027150309183618739122183602176 binary64))) (<=.f64 y.re #s(literal 3199999999999999725860827430912 binary64)))) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (.f64 y.im (.f64 x.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)))
(if (<=.f64 y.re #s(literal -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -39999999999999998155050632808484569088 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal -68962299338965/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (if (<=.f64 y.re #s(literal 1784852045121347/324518553658426726783156020576256 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -2800000000000000078194947685089280 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 7301667457314601/81129638414606681695789005144064 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -2800000000000000078194947685089280 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (or (<=.f64 y.re #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (not (<=.f64 y.re #s(literal 7301667457314601/81129638414606681695789005144064 binary64)))) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.re #s(literal -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (or (<=.f64 y.re #s(literal -2800000000000000078194947685089280 binary64)) (not (or (<=.f64 y.re #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (not (<=.f64 y.re #s(literal 7301667457314601/81129638414606681695789005144064 binary64)))))) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(if (or (<=.f64 y.re #s(literal -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144 binary64)) (not (or (<=.f64 y.re #s(literal -2800000000000000078194947685089280 binary64)) (not (or (<=.f64 y.re #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (not (<=.f64 y.re #s(literal 7301667457314601/81129638414606681695789005144064 binary64)))))))) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im))
(if (or (<=.f64 y.re #s(literal -1019999999999999989023584440794909414900335777993154008763999664160326257236005131858313945684476166144 binary64)) (not (or (<=.f64 y.re #s(literal -2800000000000000078194947685089280 binary64)) (and (not (<=.f64 y.re #s(literal -7039781273726375/27606985387162255149739023449108101809804435888681546220650096895197184 binary64))) (<=.f64 y.re #s(literal 7301667457314601/81129638414606681695789005144064 binary64)))))) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.re #s(literal -18999999999999998444963470117641451090879953348211959890443584225875511350391060305153096316948624441344 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 3000000000000000031013862536714894937294116807418968812976214494220027620893351422050332294774784 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -18999999999999998444963470117641451090879953348211959890443584225875511350391060305153096316948624441344 binary64)) (not (<=.f64 y.re #s(literal 3000000000000000031013862536714894937294116807418968812976214494220027620893351422050332294774784 binary64)))) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -8762203435012037/9223372036854775808 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 56000000000000000000000 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(if (or (<=.f64 y.im #s(literal -8762203435012037/9223372036854775808 binary64)) (not (<=.f64 y.im #s(literal 56000000000000000000000 binary64)))) (/.f64 x.im y.im) (/.f64 x.re y.re))
(/.f64 x.im y.im)

Compiler

Compiled 332 to 180 computations (45.8% saved)

soundness500.0ms (5.3%)

Rules

819×	`log1p-expm1-u`
819×	`expm1-log1p-u`
503×	`fma-define`
446×	`log1p-expm1-u`
441×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	254	78
2	3543	78
0	31	344
1	527	322
2	7982	322
0	432	9779
1	1161	9249
2	3761	9189

Stop Event

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

Compiler

Compiled 239 to 85 computations (64.4% saved)

end0.0ms (0%)

preprocess409.0ms (4.3%)

Compiler: Compiled 646 to 242 computations (62.5% saved)

analyze38.0ms (0.4%)

sample1.9s (20%)

preprocess525.0ms (5.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize55.0ms (0.6%)

series23.0ms (0.2%)

rewrite262.0ms (2.8%)

simplify124.0ms (1.3%)

eval56.0ms (0.6%)

prune44.0ms (0.5%)

localize142.0ms (1.5%)

series59.0ms (0.6%)

rewrite245.0ms (2.6%)

simplify288.0ms (3.1%)

eval224.0ms (2.4%)

prune175.0ms (1.9%)

localize338.0ms (3.6%)

series55.0ms (0.6%)

rewrite204.0ms (2.2%)

simplify473.0ms (5%)

eval671.0ms (7.1%)

prune358.0ms (3.8%)

localize191.0ms (2%)

series43.0ms (0.5%)

rewrite240.0ms (2.6%)

simplify237.0ms (2.5%)

eval268.0ms (2.8%)

prune191.0ms (2%)

regimes348.0ms (3.7%)

regimes91.0ms (1%)

regimes39.0ms (0.4%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes52.0ms (0.6%)

regimes29.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch1.0ms (0%)

bsearch81.0ms (0.9%)

bsearch98.0ms (1%)

bsearch96.0ms (1%)

bsearch96.0ms (1%)

bsearch45.0ms (0.5%)

bsearch37.0ms (0.4%)

simplify33.0ms (0.3%)

soundness500.0ms (5.3%)

end0.0ms (0%)

preprocess409.0ms (4.3%)

Profiling