Metrics for _divideComplex, real part

analyze37.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-mult, time spent: 12.0ms, 69.0% of total-time

Operation ival-add, time spent: 3.0ms, 17.0% 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

sample1.6s (12%)

Results

1.3s	7805×	256	valid
204.0ms	450×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 478.0ms

Operation ival-mult, time spent: 245.0ms, 51.0% of total-time

Operation ival-div, time spent: 127.0ms, 27.0% of total-time

Operation ival-add, time spent: 97.0ms, 20.0% of total-time

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

Bogosity

preprocess720.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

3146×	`fma-neg`
1824×	`fma-define`
1728×	`times-frac`
1104×	`div-sub`
666×	`unsub-neg`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
111	1	(-1.0384835581537473e-17 -3.432534651703941e-187 -3.0939481102851518e+305 2.1313059861947108e-237)	4	(-1.5600683252598657e-255 -8.076608068625759e-277 4.451372251236096e-57 -2.951250961167921e-165)	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
0	0	-	0	-	`x.im`
0	0	-	0	-	`y.im`
0	0	-	0	-	`(*.f64 x.im y.im)`
0	0	-	0	-	`y.re`
0	0	-	0	-	`x.re`
0	0	-	0	-	`(*.f64 y.im y.im)`
0	0	-	0	-	`(*.f64 x.re y.re)`
0	0	-	0	-	`(*.f64 y.re y.re)`
0	0	-	0	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`
0	0	-	0	-	`(+.f64 (.f64 x.re y.re) (.f64 x.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: 27.0ms

Operation ival-mult, time spent: 14.0ms, 51.0% of total-time

Operation ival-add, time spent: 9.0ms, 33.0% 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

eval0.0ms (0%)

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

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.8%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
▶	58.8%	(/.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 36 to 20 computations (44.4% saved)

localize110.0ms (0.8%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	59.1%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
✓	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	100.0%	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	59.1%	(/.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 85 to 15 computations (82.4% saved)

Precisions

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

Operation ival-mult, time spent: 11.0ms, 39.0% of total-time

Operation composed, time spent: 8.0ms, 28.0% 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: 0.0ms, 0.0% of total-time

series28.0ms (0.2%)

Counts

5 → 216

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

54 calls:

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

rewrite274.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`fma-define`
822×	`log1p-expm1-u`
822×	`expm1-log1p-u`
482×	`fma-neg`
436×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	190
1	267	175
2	3557	175

Stop Event

1×	node limit

Counts

5 → 231

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

simplify387.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

956×	`cancel-sign-sub-inv`
932×	`distribute-lft-neg-in`
828×	`distribute-rgt-neg-in`
512×	`fma-neg`
466×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	21063
1	1395	19871
2	4412	19751

Stop Event

1×	node limit

Counts

447 → 284

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

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

eval84.0ms (0.6%)

Compiler: Compiled 5740 to 2233 computations (61.1% saved)

prune64.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	270	14	284
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	271	15	286

Accuracy

99.4%

Counts

286 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(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))
	58.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
✓	58.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.7%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	54.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
▶	49.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	52.5%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
	50.3%	(/.f64 (.f64 y.re (+.f64 x.re (.f64 x.im (/.f64 y.im y.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	38.9%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	36.9%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	40.6%	(/.f64 x.re y.re)
▶	38.6%	(/.f64 x.im y.im)
▶	45.8%	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
▶	76.5%	(.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)))
	41.4%	(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))

Compiler

Compiled 419 to 257 computations (38.7% saved)

localize169.0ms (1.3%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	97.0%	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
✓	90.5%	(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
✓	85.2%	(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	73.3%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	100.0%	(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
✓	98.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
✓	92.6%	(/.f64 (*.f64 x.re y.re) y.im)
	100.0%	(fma.f64 x.re y.re (*.f64 x.im 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)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
✓	77.3%	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))

Compiler

Compiled 150 to 39 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

Operation ival-div, time spent: 28.0ms, 35.0% of total-time

Operation ival-mult, time spent: 18.0ms, 22.0% of total-time

Operation composed, time spent: 14.0ms, 17.0% of total-time

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

Operation ival-add, time spent: 7.0ms, 9.0% of total-time

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

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

series62.0ms (0.5%)

Counts

10 → 318

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

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

Calls

99 calls:

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

rewrite128.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

412×	`associate-r`
340×	`times-frac`
290×	`associate-l`
243×	`log1p-expm1-u`
243×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	348
1	539	326

Stop Event

1×	node limit

Counts

10 → 384

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

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

simplify339.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-r`
1060×	`fma-define`
662×	`*-commutative`
632×	`times-frac`
552×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1299	35165
1	3447	33656

Stop Event

1×	node limit

Counts

702 → 808

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

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

eval277.0ms (2.1%)

Compiler: Compiled 17172 to 7972 computations (53.6% saved)

prune192.0ms (1.5%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	856	16	872
Fresh	2	7	9
Picked	2	3	5
Done	0	1	1
Total	860	27	887

Accuracy

100.0%

Counts

887 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
	23.5%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
▶	58.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
✓	58.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.7%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	54.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	37.3%	(/.f64 (+.f64 x.im (pow.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.re y.im))) #s(literal 2 binary64))) y.im)
✓	49.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	52.1%	(/.f64 (+.f64 x.im (.f64 y.re (.f64 x.re (/.f64 #s(literal 1 binary64) y.im)))) y.im)
	26.6%	(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
▶	50.3%	(/.f64 (.f64 y.re (+.f64 x.re (.f64 x.im (/.f64 y.im y.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	38.9%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	48.8%	(/.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 y.re (*.f64 x.im y.im))))) y.im)
✓	36.9%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	40.6%	(/.f64 x.re y.re)
✓	38.6%	(/.f64 x.im y.im)
	51.8%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.re y.im) x.im)))
	47.9%	(+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)))
▶	48.9%	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im)))
▶	76.3%	(.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	75.7%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	55.2%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))))
	29.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
	29.4%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
	24.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
	41.4%	(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))

Compiler

Compiled 746 to 471 computations (36.9% saved)

localize206.0ms (1.6%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	59.1%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
✓	100.0%	(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
✓	92.2%	(.f64 y.re (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))))
✓	91.2%	(*.f64 x.im (/.f64 y.im y.re))
✓	59.1%	(/.f64 (.f64 y.re (+.f64 x.re (.f64 x.im (/.f64 y.im y.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	99.8%	(/.f64 (/.f64 y.re y.im) y.im)
✓	97.0%	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im)))
✓	85.2%	(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
✓	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))
✓	99.6%	(.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
✓	99.2%	(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	77.3%	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))

Compiler

Compiled 199 to 40 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

Operation ival-pow, time spent: 33.0ms, 32.0% of total-time

Operation ival-mult, time spent: 23.0ms, 22.0% of total-time

Operation composed, time spent: 17.0ms, 17.0% of total-time

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

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

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

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

series59.0ms (0.4%)

Counts

11 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
11.0ms	y.im	@	0	(pow (sqrt (+ (* y.re y.re) (* y.im y.im))) -1/2)
3.0ms	y.re	@	-inf	(* y.re (+ x.re (* x.im (/ y.im y.re))))
2.0ms	y.re	@	inf	(pow (sqrt (+ (* y.re y.re) (* y.im y.im))) -1/2)
2.0ms	y.im	@	inf	(pow (sqrt (+ (* y.re y.re) (* y.im y.im))) -1/2)
2.0ms	y.re	@	0	(pow (sqrt (+ (* y.re y.re) (* y.im y.im))) -1/2)

rewrite137.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

294×	`times-frac`
288×	`log1p-expm1-u`
288×	`expm1-log1p-u`
279×	`add-cube-cbrt`
278×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	431
1	638	374

Stop Event

1×	node limit

Counts

11 → 314

Calls

Call 1

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

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

simplify463.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1460×	`associate-r`
1278×	`fma-define`
722×	`times-frac`
672×	`distribute-rgt-in`
656×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1189	38293
1	3335	36156

Stop Event

1×	node limit

Counts

746 → 667

Calls

Call 1

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

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

eval317.0ms (2.4%)

Compiler: Compiled 21999 to 9648 computations (56.1% saved)

prune212.0ms (1.6%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	903	4	907
Fresh	1	17	18
Picked	2	3	5
Done	0	4	4
Total	906	28	934

Accuracy

100.0%

Counts

934 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
	53.2%	(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
	23.5%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
✓	58.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.7%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	54.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	37.3%	(/.f64 (+.f64 x.im (pow.f64 (sqrt.f64 (*.f64 y.re (/.f64 x.re y.im))) #s(literal 2 binary64))) y.im)
✓	49.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	52.1%	(/.f64 (+.f64 x.im (.f64 y.re (.f64 x.re (/.f64 #s(literal 1 binary64) y.im)))) y.im)
▶	26.6%	(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
	51.1%	(/.f64 (.f64 y.re (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im)))) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	50.3%	(/.f64 (.f64 y.re (+.f64 x.re (.f64 x.im (/.f64 y.im y.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	38.9%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	48.8%	(/.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 y.re (*.f64 x.im y.im))))) y.im)
✓	36.9%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	40.6%	(/.f64 x.re y.re)
✓	38.6%	(/.f64 x.im y.im)
	52.0%	(+.f64 (/.f64 x.im y.im) (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re (/.f64 y.re y.im)))))
	47.9%	(+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)))
✓	48.9%	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im)))
	75.7%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	55.2%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))))
▶	80.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 y.re (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))))
	29.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
	29.4%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
▶	24.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
▶	41.4%	(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))

Compiler

Compiled 739 to 465 computations (37.1% saved)

localize335.0ms (2.5%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
✓	87.6%	(/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
✓	82.7%	(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	71.1%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	97.6%	(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
✓	92.8%	(*.f64 y.re (/.f64 x.re y.im))
✓	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 y.re (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))))
✓	94.1%	(fma.f64 x.im (/.f64 y.im y.re) x.re)
✓	91.4%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))
✓	84.6%	(*.f64 y.re (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im)))

Compiler

Compiled 162 to 41 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

Operation composed, time spent: 62.0ms, 38.0% of total-time

Operation ival-add, time spent: 46.0ms, 28.0% of total-time

Operation ival-mult, time spent: 23.0ms, 14.0% of total-time

Operation ival-div, time spent: 21.0ms, 13.0% of total-time

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

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

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

series56.0ms (0.4%)

Counts

11 → 432

Calls

Call 1

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

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

Calls

108 calls:

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

rewrite259.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`prod-diff`
446×	`associate-r`
336×	`times-frac`
316×	`associate-l`
219×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	394
1	562	379
2	7135	379

Stop Event

1×	node limit

Counts

11 → 376

Calls

Call 1

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

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

simplify329.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1256×	`fma-define`
998×	`times-frac`
732×	`*-commutative`
588×	`distribute-rgt-in`
586×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1314	40315
1	3638	38018

Stop Event

1×	node limit

Counts

808 → 804

Calls

Call 1

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

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

eval470.0ms (3.6%)

Compiler: Compiled 22156 to 11488 computations (48.1% saved)

prune286.0ms (2.2%)

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	1037	10	1047
Fresh	5	11	16
Picked	2	3	5
Done	1	6	7
Total	1045	30	1075

Accuracy

100.0%

Counts

1075 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.im y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
	53.2%	(/.f64 (fma.f64 y.im (/.f64 x.im y.re) x.re) y.re)
	26.6%	(/.f64 (/.f64 y.re (/.f64 y.im x.re)) y.im)
	23.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.re))) y.im)
✓	58.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.7%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	54.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	49.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	51.1%	(/.f64 (.f64 y.re (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im)))) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	50.3%	(/.f64 (.f64 y.re (+.f64 x.re (.f64 x.im (/.f64 y.im y.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	38.9%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	26.2%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
✓	36.9%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	10.8%	(/.f64 (neg.f64 x.im) y.im)
✓	40.6%	(/.f64 x.re y.re)
	24.0%	(/.f64 x.im (hypot.f64 y.re y.im))
✓	38.6%	(/.f64 x.im y.im)
	52.0%	(+.f64 (/.f64 x.im y.im) (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re (/.f64 y.re y.im)))))
	75.7%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	55.2%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	26.6%	(*.f64 (/.f64 x.re y.im) (/.f64 y.re y.im))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))))
	37.6%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 y.re (/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))))
	29.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
	29.4%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
✓	24.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
	9.4%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.im)
	26.6%	(.f64 (/.f64 #s(literal 1 binary64) y.im) (.f64 y.re (/.f64 x.re y.im)))
	8.2%	(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.im)
✓	41.4%	(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))

Compiler

Compiled 900 to 423 computations (53% saved)

regimes445.0ms (3.4%)

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

131.0ms	x.re
112.0ms	x.im
105.0ms	y.im
66.0ms	y.re
27.0ms	(/.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
85.9%	5	`x.re`
86.9%	5	`x.im`
92.1%	3	`y.re`
94.9%	3	`y.im`
91.2%	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)

regimes237.0ms (1.8%)

Counts

42 → 2

Calls

Call 1

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

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

Calls

3 calls:

106.0ms	y.im
103.0ms	y.re
25.0ms	(/.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
89.1%	5	`y.re`
86.5%	2	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
90.3%	5	`y.im`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes240.0ms (1.8%)

Counts

41 → 5

Calls

Call 1

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

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

Calls

3 calls:

97.0ms	y.re
97.0ms	y.im
44.0ms	(/.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
86.1%	5	`y.re`
87.7%	5	`y.im`
78.5%	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 29 to 19 computations (34.5% saved)

regimes87.0ms (0.7%)

Counts

36 → 5

Calls

Call 1

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

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

Calls

1 calls:

84.0ms

y.im

Results

Accuracy	Segments	Branch
87.7%	5	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes79.0ms (0.6%)

Counts

33 → 5

Calls

Call 1

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

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

Calls

1 calls:

77.0ms

y.im

Results

Accuracy	Segments	Branch
87.7%	5	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes417.0ms (3.1%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

160.0ms	x.re
139.0ms	x.im
66.0ms	y.re
46.0ms	y.im

Results

Accuracy	Segments	Branch
72.5%	8	`x.re`
80.9%	5	`y.re`
69.2%	9	`x.im`
82.5%	3	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes105.0ms (0.8%)

Counts

20 → 3

Calls

Call 1

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

Calls

1 calls:

104.0ms

y.im

Results

Accuracy	Segments	Branch
82.2%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes61.0ms (0.5%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	y.im
25.0ms	y.re

Results

Accuracy	Segments	Branch
71.5%	3	`y.re`
73.4%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes249.0ms (1.9%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

3 calls:

136.0ms	y.im
62.0ms	x.re
50.0ms	y.re

Results

Accuracy	Segments	Branch
55.5%	7	`x.re`
62.0%	3	`y.re`
66.8%	5	`y.im`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes30.0ms (0.2%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

y.im

Results

Accuracy	Segments	Branch
66.8%	5	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes26.0ms (0.2%)

Counts

7 → 5

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

y.im

Results

Accuracy	Segments	Branch
66.8%	5	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes15.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

y.im

Results

Accuracy	Segments	Branch
65.2%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	y.im
3.0ms	x.re
3.0ms	x.im
3.0ms	y.re

Results

Accuracy	Segments	Branch
38.6%	1	`x.re`
38.6%	1	`x.im`
38.6%	1	`y.re`
38.6%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch297.0ms (2.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
272.0ms	1.5356840056887667e+110	3.6532381088278846e+114
25.0ms	-5.182722606065633e+152	-2.605659553764206e+147

Results

291.0ms	271×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 673 to 391 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

Operation ival-mult, time spent: 260.0ms, 98.0% of total-time

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

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

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

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch88.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
21.0ms	1.5356840056887667e+110	3.6532381088278846e+114
23.0ms	6.876862448842838e-23	7.697162575892425e-16
33.0ms	-3.976846578326395e-64	-1.9719641246403063e-80
10.0ms	-1.1534772902811784e+115	-5.843377995755164e+114

Results

75.0ms	478×	256	valid
2.0ms	17×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 1006 to 611 computations (39.3% saved)

Precisions

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

Operation ival-mult, time spent: 20.0ms, 67.0% of total-time

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

Operation ival-div, time spent: 4.0ms, 13.0% of total-time

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

bsearch82.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
26.0ms	2.6174808235379434e+67	5.639414978451689e+84
18.0ms	6.805344711897123e-118	2.150044143814869e-116
28.0ms	-3.976846578326395e-64	-1.9719641246403063e-80
10.0ms	-1.1534772902811784e+115	-5.843377995755164e+114

Results

67.0ms	481×	256	valid
4.0ms	14×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 1074 to 662 computations (38.4% 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, 23.0% 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

bsearch84.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
26.0ms	2.6174808235379434e+67	5.639414978451689e+84
18.0ms	6.805344711897123e-118	2.150044143814869e-116
27.0ms	-3.976846578326395e-64	-1.9719641246403063e-80
13.0ms	-1.1534772902811784e+115	-5.843377995755164e+114

Results

71.0ms	477×	256	valid
3.0ms	18×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 1088 to 676 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

Operation ival-mult, time spent: 15.0ms, 59.0% of total-time

Operation ival-add, time spent: 6.0ms, 23.0% of total-time

Operation ival-div, time spent: 4.0ms, 16.0% of total-time

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

bsearch16.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.3821869559871e+17	1325870278009715700.0
5.0ms	-5.777887925157677e-17	-4.973228474852047e-17

Results

14.0ms	95×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 206 to 137 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-mult, time spent: 3.0ms, 64.0% of total-time

Operation ival-div, time spent: 1.0ms, 21.0% of total-time

Operation ival-add, time spent: 1.0ms, 21.0% of total-time

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

bsearch16.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.3821869559871e+17	1325870278009715700.0
5.0ms	-5.777887925157677e-17	-4.973228474852047e-17

Results

14.0ms	95×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 194 to 125 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-mult, time spent: 3.0ms, 53.0% of total-time

Operation ival-add, time spent: 2.0ms, 35.0% of total-time

Operation ival-div, time spent: 1.0ms, 18.0% of total-time

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

bsearch52.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	7.697162575892425e-16	1.719670564954567e-8
23.0ms	-5.774416467685654e-52	-6.416769555789695e-59

Results

45.0ms	273×	256	valid
2.0ms	14×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 422 to 287 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-mult, time spent: 11.0ms, 66.0% 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

bsearch99.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
23.0ms	7.697162575892425e-16	1.719670564954567e-8
23.0ms	-5.774416467685654e-52	-6.416769555789695e-59
28.0ms	-3764027322850.9497	-2.174726497468272
24.0ms	-5.182722606065633e+152	-2.605659553764206e+147

Results

85.0ms	583×	256	valid
1.0ms	8×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 694 to 499 computations (28.1% saved)

Precisions

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

Operation ival-mult, time spent: 19.0ms, 62.0% of total-time

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

Operation ival-div, time spent: 5.0ms, 16.0% of total-time

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

bsearch202.0ms (1.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	7.697162575892425e-16	1.719670564954567e-8
125.0ms	-5.774416467685654e-52	-6.416769555789695e-59
26.0ms	-3764027322850.9497	-2.174726497468272
27.0ms	-5.182722606065633e+152	-2.605659553764206e+147

Results

188.0ms	580×	256	valid
2.0ms	11×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 694 to 499 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

Operation ival-mult, time spent: 120.0ms, 91.0% of total-time

Operation ival-add, time spent: 7.0ms, 5.0% of total-time

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

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

bsearch111.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
28.0ms	7.697162575892425e-16	1.719670564954567e-8
27.0ms	-5.774416467685654e-52	-6.416769555789695e-59
28.0ms	-3764027322850.9497	-2.174726497468272
28.0ms	-5.182722606065633e+152	-2.605659553764206e+147

Results

92.0ms	581×	256	valid
1.0ms	10×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 694 to 499 computations (28.1% saved)

Precisions

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

Operation ival-mult, time spent: 17.0ms, 48.0% of total-time

Operation ival-add, time spent: 14.0ms, 39.0% of total-time

Operation ival-div, time spent: 4.0ms, 11.0% of total-time

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

bsearch90.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	7.697162575892425e-16	1.719670564954567e-8
65.0ms	-5.774416467685654e-52	-6.416769555789695e-59

Results

40.0ms	272×	256	valid
2.0ms	15×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 314 to 233 computations (25.8% saved)

Precisions

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

Operation ival-mult, time spent: 8.0ms, 58.0% of total-time

Operation ival-add, time spent: 3.0ms, 22.0% of total-time

Operation ival-div, time spent: 2.0ms, 14.0% of total-time

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

simplify27.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
14×	`if-if-or-not`
10×	`+-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	2039
1	206	2039

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y.im #s(literal -5699999999999999910069551796995093196483197726997937564388238061135256615788051338700631221624592904539351528101547941218986564454333253864443084800 binary64)) (.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (if (<=.f64 y.im #s(literal 750000000000000000989626917495581856226042516843035502013805323539861486138358738337640413533082835642344275968 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 y.re (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im)))) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(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 +inf.0 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 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))))
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(if (<=.f64 y.im #s(literal -5699999999999999910069551796995093196483197726997937564388238061135256615788051338700631221624592904539351528101547941218986564454333253864443084800 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal -550000000000 binary64)) (/.f64 (/.f64 y.re (/.f64 y.im x.re)) y.im) (if (<=.f64 y.im #s(literal -463711082674991/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 2630622583481433/77371252455336267181195264 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))))
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(/.f64 x.im y.im)

Outputs
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(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 +inf.0 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 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))))
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(if (or (<=.f64 y.im #s(literal -8924260225606735/162259276829213363391578010288128 binary64)) (not (<=.f64 y.im #s(literal 960000000000000000 binary64)))) (/.f64 (+.f64 x.im (.f64 y.re (.f64 x.re (/.f64 #s(literal 1 binary64) y.im)))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -4381000474388761/81129638414606681695789005144064 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 1080000000000000000 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.im #s(literal -4381000474388761/81129638414606681695789005144064 binary64)) (not (<=.f64 y.im #s(literal 1080000000000000000 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.im #s(literal -5427754182999197/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 1552871985279581/633825300114114700748351602688 binary64)) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (or (<=.f64 y.im #s(literal -5427754182999197/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (not (<=.f64 y.im #s(literal 1552871985279581/633825300114114700748351602688 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 -5699999999999999910069551796995093196483197726997937564388238061135256615788051338700631221624592904539351528101547941218986564454333253864443084800 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal -550000000000 binary64)) (/.f64 (/.f64 y.re (/.f64 y.im x.re)) y.im) (if (<=.f64 y.im #s(literal -463711082674991/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 2630622583481433/77371252455336267181195264 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))))
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(/.f64 x.im y.im)

Compiler

Compiled 556 to 304 computations (45.3% saved)

soundness2.3s (17.2%)

Rules

3146×	`fma-neg`
1824×	`fma-define`
1728×	`times-frac`
1620×	`prod-diff`
1460×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	535	21063
1	1395	19871
2	4412	19751
0	1299	35165
1	3447	33656
0	1189	38293
1	3335	36156
0	38	431
1	638	374
0	22	190
1	267	175
2	3557	175
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
0	33	348
1	539	326
0	34	394
1	562	379
2	7135	379

Stop Event

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

Compiler

Compiled 798 to 265 computations (66.8% saved)

end1.0ms (0%)

preprocess196.0ms (1.5%)

Compiler: Compiled 1054 to 384 computations (63.6% saved)

analyze37.0ms (0.3%)

sample1.6s (12%)

preprocess720.0ms (5.4%)

eval0.0ms (0%)

prune4.0ms (0%)

localize110.0ms (0.8%)

series28.0ms (0.2%)

rewrite274.0ms (2.1%)

simplify387.0ms (2.9%)

eval84.0ms (0.6%)

prune64.0ms (0.5%)

localize169.0ms (1.3%)

series62.0ms (0.5%)

rewrite128.0ms (1%)

simplify339.0ms (2.6%)

eval277.0ms (2.1%)

prune192.0ms (1.5%)

localize206.0ms (1.6%)

series59.0ms (0.4%)

rewrite137.0ms (1%)

simplify463.0ms (3.5%)

eval317.0ms (2.4%)

prune212.0ms (1.6%)

localize335.0ms (2.5%)

series56.0ms (0.4%)

rewrite259.0ms (2%)

simplify329.0ms (2.5%)

eval470.0ms (3.6%)

prune286.0ms (2.2%)

regimes445.0ms (3.4%)

regimes237.0ms (1.8%)

regimes240.0ms (1.8%)

regimes87.0ms (0.7%)

regimes79.0ms (0.6%)

regimes417.0ms (3.1%)

regimes105.0ms (0.8%)

regimes61.0ms (0.5%)

regimes249.0ms (1.9%)

regimes30.0ms (0.2%)

regimes26.0ms (0.2%)

regimes15.0ms (0.1%)

regimes11.0ms (0.1%)

bsearch297.0ms (2.2%)

bsearch0.0ms (0%)

bsearch88.0ms (0.7%)

bsearch82.0ms (0.6%)

bsearch84.0ms (0.6%)

bsearch16.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch52.0ms (0.4%)

bsearch99.0ms (0.7%)

bsearch202.0ms (1.5%)

bsearch111.0ms (0.8%)

bsearch90.0ms (0.7%)

simplify27.0ms (0.2%)

soundness2.3s (17.2%)

end1.0ms (0%)

preprocess196.0ms (1.5%)

Profiling