Metrics for Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 21 to 11 computations (47.6% saved)

sample1.3s (18.1%)

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 668.0ms

ival-mult: 387.0ms (57.9% of total)

ival-div: 128.0ms (19.2% of total)

ival-sub: 99.0ms (14.8% of total)

ival-add: 39.0ms (5.8% of total)

ival-true: 7.0ms (1% of total)

ival-assert: 4.0ms (0.6% of total)

...in/eval/compile.rkt:70:19: 3.0ms (0.4% of total)

Bogosity

preprocess358.0ms (5%)

Algorithm

1×	egg-herbie

Rules

719×	`fmm-def`
703×	`fma-define`
484×	`times-frac`
392×	`distribute-lft-in`
381×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	533
1	109	505
2	274	505
3	707	505
4	2011	505
5	3582	505
6	3986	505
7	4155	505
8	4189	505
9	4214	505
10	4226	505
11	4526	505
12	4662	505
13	4662	505
14	4806	505
15	5825	505
16	5841	505
17	5841	505

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) (neg.f64 y))))
(neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 y #s(literal 4 binary64)) y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) (neg.f64 y)))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 x #s(literal 4 binary64)) x)) (+.f64 (.f64 y y) (.f64 (.f64 x #s(literal 4 binary64)) x)))

Outputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) (neg.f64 y))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (.f64 y #s(literal 4 binary64)) y))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (neg.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (*.f64 x x)))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) (neg.f64 y))) (+.f64 (.f64 x x) (.f64 (.f64 (neg.f64 y) #s(literal 4 binary64)) (neg.f64 y)))))
(neg.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (neg.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (-.f64 (.f64 y (.f64 y #s(literal -4 binary64))) (*.f64 x x)))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 x #s(literal 4 binary64)) x)) (+.f64 (.f64 y y) (.f64 (.f64 x #s(literal 4 binary64)) x)))
(/.f64 (-.f64 (.f64 y y) (.f64 x (.f64 x #s(literal 4 binary64)))) (fma.f64 y y (.f64 x (*.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 y y (.f64 x (.f64 x #s(literal -4 binary64)))) (fma.f64 y y (.f64 x (.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 x (.f64 x #s(literal -4 binary64)) (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)))

Symmetry

(abs x)

(abs y)

explain265.0ms (3.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
10	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) y)`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`y`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	o/o	112	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	112
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	overflow	112
↳	`(*.f64 x x)`	overflow	61
`/.f64`	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`	u/u	17	0
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	72
↳	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	17
↳	`(*.f64 x x)`	underflow	54
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	underflow	72
↳	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	underflow	17
↳	`(*.f64 x x)`	underflow	54
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`	nan-rescue	10	0
↳	`(*.f64 x x)`	overflow	61
↳	`(.f64 (.f64 y #s(literal 4 binary64)) y)`	overflow	61

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	119
2	10

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 148 to 40 computations (73% saved)

Precisions

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

ival-mult: 10.0ms (46.1% of total)

ival-div: 5.0ms (23.1% of total)

ival-add: 4.0ms (18.5% of total)

ival-sub: 2.0ms (9.2% of total)

ival-true: 1.0ms (4.6% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 37 to 14 computations (62.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
▶	49.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Status

Accuracy

Program

▶

49.6%

(/.f64 (fma.f64 x x (*.f64 y (*.f64 y #s(literal -4 binary64)))) (fma.f64 x x (*.f64 y (*.f64 y #s(literal 4 binary64)))))

▶

49.6%

(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))

Compiler

Compiled 40 to 20 computations (50% saved)

simplify111.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y #s(literal -4 binary64))
✓	cost-diff	0	(.f64 y (.f64 y #s(literal -4 binary64)))
✓	cost-diff	0	(fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))
✓	cost-diff	0	(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
✓	cost-diff	-6272	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
✓	cost-diff	0	(*.f64 y #s(literal 4 binary64))
✓	cost-diff	0	(.f64 (.f64 y #s(literal 4 binary64)) y)
✓	cost-diff	0	(*.f64 x x)

Rules

1 120×	`fma-define`
571×	`fmm-def`
369×	`times-frac`
180×	`associate-l`
168×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	409
1	44	393
2	77	393
3	135	393
4	253	393
5	438	393
6	760	393
7	1126	393
8	2022	393
9	3572	393
10	3933	393
11	3983	393
12	4043	393
13	4043	393

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))
x
(.f64 y (.f64 y #s(literal -4 binary64)))
y
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
(fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))
(.f64 y (.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(-.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 4 binary64))))
(fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y)))
(fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))
(*.f64 x x)
x
(.f64 (.f64 y #s(literal 4 binary64)) y)
(.f64 y (.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x)))
(/.f64 (fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y))) (fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x)))
(fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))
(-.f64 (.f64 x x) (.f64 y (*.f64 y #s(literal 4 binary64))))
(fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 y y)))
x
(.f64 y (.f64 y #s(literal -4 binary64)))
(.f64 (.f64 y y) #s(literal -4 binary64))
(.f64 #s(literal -4 binary64) (.f64 y y))
y
(*.f64 y #s(literal -4 binary64))
#s(literal -4 binary64)
(fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 x x))
(.f64 y (.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)

localize84.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))
✓	accuracy	98.0%	(fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))
✓	accuracy	50.6%	(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	96.5%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
✓	accuracy	50.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Samples

54.0ms

256×

valid

Compiler

Compiled 106 to 18 computations (83% saved)

Precisions

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

ival-mult: 18.0ms (58.6% of total)

ival-div: 5.0ms (16.3% of total)

ival-fma: 5.0ms (16.3% of total)

ival-sub: 1.0ms (3.3% of total)

ival-add: 1.0ms (3.3% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series21.0ms (0.3%)

Counts

9 → 156

Calls

Call 1

Inputs
#<alt (*.f64 x x)>
#<alt (.f64 (.f64 y #s(literal 4 binary64)) y)>
#<alt (*.f64 y #s(literal 4 binary64))>
#<alt (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))>
#<alt (/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))>
#<alt (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))>
#<alt (.f64 y (.f64 y #s(literal -4 binary64)))>
#<alt (*.f64 y #s(literal -4 binary64))>
#<alt (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))>

Outputs
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 4 binary64) y)>
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#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64)))))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ (* x x) (* y (* y -4))) (+ (* x x) (* y (* y 4))))
1.0ms	x	@	inf	(/ (+ (* x x) (* y (* y -4))) (+ (* x x) (* y (* y 4))))
1.0ms	y	@	inf	(/ (+ (* x x) (* y (* y -4))) (+ (* x x) (* y (* y 4))))
1.0ms	x	@	0	(/ (+ (* x x) (* y (* y -4))) (+ (* x x) (* y (* y 4))))
1.0ms	x	@	0	(- (* x x) (* (* y 4) y))

rewrite343.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`log1p-expm1-u`
948×	`expm1-log1p-u`
237×	`fmm-def`
132×	`add-cube-cbrt`
131×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	278
1	340	198
2	4716	198

Stop Event

1×	node limit

Counts

9 → 336

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))
(.f64 y (.f64 y #s(literal -4 binary64)))
(*.f64 y #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 4 binary64)) y)))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 y #s(literal 4 binary64)) y (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (.f64 y #s(literal 2 binary64))) (.f64 y #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (+.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)))))
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(fma.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 x (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))

simplify242.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

565×	`fmm-def`
384×	`distribute-lft-in`
380×	`distribute-rgt-in`
337×	`distribute-lft-neg-in`
332×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	18781
1	1185	17187
2	3936	16401

Stop Event

1×	node limit

Counts

492 → 304

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64)))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64)))))))
(*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
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(neg.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(fabs.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(log.f64 (exp.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))
(cbrt.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 x (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 x (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))

Outputs
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal -4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal -4 binary64)))
#s(literal -1 binary64)
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(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
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(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
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(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))))
#s(literal 1 binary64)
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#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
#s(literal 1 binary64)
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#s(literal 1 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(pow.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
#s(literal 1 binary64)
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#s(literal 1 binary64)
(pow.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(sqrt.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
(fabs.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(cbrt.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
#s(literal 1 binary64)
(exp.f64 (log.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
#s(literal 1 binary64)
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
#s(literal 1 binary64)
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(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
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(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
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(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 (/.f64 x (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 (/.f64 x (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 x (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (hypot.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 x (.f64 #s(literal 2 binary64) y)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (hypot.f64 x (.f64 #s(literal 2 binary64) y))) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 x (.f64 #s(literal 2 binary64) y))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) (.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -16 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 4 binary64))) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 4 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))))

eval98.0ms (1.4%)

Compiler: Compiled 9 852 to 1 181 computations (88% saved)

prune54.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	373	3	376
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	374	4	378

Accuracy

99.7%

Counts

378 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
▶	49.6%	(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
▶	55.4%	#s(literal 1 binary64)
▶	45.5%	#s(literal -1 binary64)

Compiler

Compiled 50 to 28 computations (44% saved)

simplify111.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
	cost-diff	(*.f64 y #s(literal 4 binary64))
	cost-diff	(.f64 (.f64 y #s(literal 4 binary64)) y)
	cost-diff	(*.f64 x x)
✓	cost-diff	(*.f64 y #s(literal 2 binary64))

Rules

709×	`fmm-def`
479×	`div-sub`
396×	`fma-define`
379×	`distribute-lft-in`
373×	`associate-r`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	20	259
1	42	247
2	80	235
3	178	235
4	513	235
5	1718	235
6	3055	231
7	6342	231
8	7940	231

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 y #s(literal 2 binary64)))
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(-.f64 x (*.f64 y #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (/.f64 (-.f64 x (.f64 y #s(literal 2 binary64))) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (fma.f64 y #s(literal 2 binary64) x) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))))
(.f64 (fma.f64 y #s(literal 2 binary64) x) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
(.f64 (fma.f64 y #s(literal -2 binary64) x) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 x x (.f64 y (*.f64 y #s(literal 4 binary64))))))
(/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (fma.f64 y #s(literal 2 binary64) x) (+.f64 x (.f64 y #s(literal -2 binary64))))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 y #s(literal -2 binary64) x))
(fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x))
(+.f64 x (*.f64 y #s(literal 2 binary64)))
(fma.f64 y #s(literal 2 binary64) x)
x
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(-.f64 x (*.f64 y #s(literal 2 binary64)))
(+.f64 x (*.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal -2 binary64) x)
(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
(fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64))))
(*.f64 x x)
(.f64 (.f64 y #s(literal 4 binary64)) y)
(.f64 y (.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal 4 binary64))
#s(literal 4 binary64)

localize47.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	50.6%	(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Samples

29.0ms

256×

valid

Compiler

Compiled 73 to 17 computations (76.7% saved)

Precisions

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

ival-mult: 7.0ms (52.4% of total)

ival-div: 2.0ms (15% of total)

ival-add: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

2 → 36

Calls

Call 1

Inputs

#<alt (*.f64 y #s(literal 2 binary64))>

#<alt (/.f64 (*.f64 (+.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 x (*.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))>

Outputs
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) x)) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)))))) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) y)) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))>

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/ (* (+ x (* y 2)) (- x (* y 2))) (+ (* x x) (* (* y 4) y)))
1.0ms	x	@	inf	(/ (* (+ x (* y 2)) (- x (* y 2))) (+ (* x x) (* (* y 4) y)))
1.0ms	x	@	0	(/ (* (+ x (* y 2)) (- x (* y 2))) (+ (* x x) (* (* y 4) y)))
1.0ms	x	@	-inf	(/ (* (+ x (* y 2)) (- x (* y 2))) (+ (* x x) (* (* y 4) y)))
0.0ms	y	@	-inf	(/ (* (+ x (* y 2)) (- x (* y 2))) (+ (* x x) (* (* y 4) y)))

rewrite133.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`log1p-expm1-u`
896×	`expm1-log1p-u`
743×	`fma-define`
319×	`fmm-def`
124×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	91
1	266	71
2	4147	71

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(*.f64 y #s(literal 2 binary64))
(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

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

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

581×	`times-frac`
319×	`associate-*r/`
293×	`distribute-lft-in`
276×	`distribute-rgt-in`
236×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	5152
1	835	4894
2	2951	4169

Stop Event

1×	node limit

Counts

101 → 113

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) x)) (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)))))) x))) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) y)) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (fma.f64 y #s(literal 2 binary64) x) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (fma.f64 y #s(literal -2 binary64) x) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (fma.f64 y #s(literal -2 binary64) x) (.f64 (fma.f64 y #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) (fma.f64 y #s(literal 2 binary64) x))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (cbrt.f64 (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (cbrt.f64 (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 y x) #s(literal 0 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -8 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 y x) #s(literal 0 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -8 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 y x) #s(literal 0 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
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(fma.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -8 binary64) #s(literal 1 binary64))
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(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x x (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (hypot.f64 (.f64 #s(literal 2 binary64) y) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 x x (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (hypot.f64 x (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))

eval154.0ms (2.2%)

Compiler: Compiled 4 517 to 731 computations (83.8% saved)

prune25.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	183	5	188

Accuracy

100.0%

Counts

188 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
✓	49.6%	(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
▶	100.0%	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
✓	55.4%	#s(literal 1 binary64)
✓	45.5%	#s(literal -1 binary64)

Compiler

Compiled 73 to 39 computations (46.6% saved)

simplify148.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 (*.f64 y #s(literal 2 binary64)) x)
✓	cost-diff	0	(fma.f64 y #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
✓	cost-diff	12928	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))

Rules

1 024×	`distribute-lft-out`
971×	`fma-define`
967×	`distribute-lft-in`
774×	`distribute-rgt-in`
455×	`associate-r`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	17	230
1	31	230
2	64	230
3	123	220
4	208	220
5	384	220
6	742	220
7	1154	220
8	1756	218
9	2805	218
10	3588	218
11	4465	218
12	5797	218
13	5997	218
14	6035	218
15	6039	218
16	6039	218

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 (fma.f64 y #s(literal 2 binary64) x) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
(/.f64 (fma.f64 y (.f64 y #s(literal -4 binary64)) (.f64 x x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (.f64 x x)))
(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal 2 binary64) x)
y
#s(literal 2 binary64)
x
(hypot.f64 (*.f64 y #s(literal 2 binary64)) x)
(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal -2 binary64) x)
#s(literal -2 binary64)

localize143.0ms (2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))

Samples

29.0ms

256×

valid

Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions

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

ival-fma: 6.0ms (37% of total)

ival-hypot: 4.0ms (24.7% of total)

ival-div: 3.0ms (18.5% of total)

ival-mult: 3.0ms (18.5% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series15.0ms (0.2%)

Counts

5 → 120

Calls

Call 1

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

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) y)) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) y)) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (.f64 #s(literal 2 binary64) y))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) x))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (.f64 #s(literal 2 binary64) y))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (-.f64 (.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (*.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal 2 binary64) y)) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (*.f64 #s(literal 2 binary64) y)) x)) #s(literal 1 binary64))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) y))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (.f64 y (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -2 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 2 binary64) y))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) y) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (-.f64 (.f64 #s(literal 4 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x y))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x)) y)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y))) y)) (*.f64 #s(literal 1/2 binary64) x)) y)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x)) #s(literal 1 binary64))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/ (+ (* y 2) x) (sqrt (+ (* (* y 2) (* y 2)) (* x x))))
1.0ms	y	@	inf	(sqrt (+ (* (* y 2) (* y 2)) (* x x)))
1.0ms	x	@	0	(/ (+ (* y 2) x) (sqrt (+ (* (* y 2) (* y 2)) (* x x))))
1.0ms	x	@	0	(sqrt (+ (* (* y 2) (* y 2)) (* x x)))
1.0ms	x	@	-inf	(* (/ (+ (* y 2) x) (sqrt (+ (* (* y 2) (* y 2)) (* x x)))) (/ (+ (* y -2) x) (sqrt (+ (* (* y 2) (* y 2)) (* x x)))))

rewrite146.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1 046×	`log1p-expm1-u`
1 046×	`expm1-log1p-u`
576×	`log-prod`
240×	`prod-diff`
180×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	195
1	206	177
2	2834	177

Stop Event

1×	node limit

Counts

5 → 181

Calls

Call 1

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

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

simplify234.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

587×	`times-frac`
444×	`fma-define`
399×	`fmm-def`
373×	`associate-r`
338×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	768	13550
1	1982	12950
2	7754	12950

Stop Event

1×	node limit

Counts

301 → 409

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) y)) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) y)) x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (.f64 #s(literal 2 binary64) y))) x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) x))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (.f64 #s(literal 2 binary64) y))) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (-.f64 (.f64 #s(literal -4 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (*.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal 2 binary64) y)) x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (*.f64 #s(literal 2 binary64) y)) x)) #s(literal 1 binary64))
x
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 #s(literal 2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) y)
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
(+.f64 x (*.f64 #s(literal 2 binary64) y))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))
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(.f64 (neg.f64 (fma.f64 y #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 y #s(literal -2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (cbrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (sqrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 y #s(literal -2 binary64) x)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (fma.f64 y #s(literal -2 binary64) x)) (sqrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 y #s(literal -2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 y #s(literal -2 binary64) x)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 y #s(literal -2 binary64) x)) (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 y #s(literal -2 binary64) x)) (cbrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) (fma.f64 y #s(literal -2 binary64) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (neg.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y #s(literal -2 binary64) x)) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -2 binary64) x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) y))
(-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x #s(literal 0 binary64)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) y)) (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x #s(literal 0 binary64)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) y)) (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64) #s(literal 1 binary64))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) y))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) y) (.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 y)) y) #s(literal -1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) y)) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 0 binary64)) y))) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) y) (.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 0 binary64)))) y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) y)) (neg.f64 y)) y) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (.f64 x (/.f64 (.f64 y #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 y #s(literal 0 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (.f64 y #s(literal 0 binary64))) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 y x) #s(literal 0 binary64))) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 4 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -4 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 y #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 y x) #s(literal 0 binary64)))) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) y)) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (.f64 #s(literal 2 binary64) y))) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -8 binary64)) x) (.f64 y #s(literal 2 binary64)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x)) #s(literal 0 binary64)) x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) x))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (.f64 #s(literal 2 binary64) y))) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -8 binary64)) x) (.f64 y #s(literal 2 binary64)))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 2 binary64))) (neg.f64 x)) #s(literal 0 binary64)) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x))))
(fma.f64 y (fma.f64 #s(literal -2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
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(.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (fma.f64 y #s(literal -2 binary64) x)) (sqrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 y #s(literal -2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 y #s(literal -2 binary64) x)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 y #s(literal -2 binary64) x)) (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 y #s(literal -2 binary64) x)) (cbrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(pow.f64 (/.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) (fma.f64 y #s(literal -2 binary64) x)) #s(literal -1 binary64))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (neg.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y #s(literal -2 binary64) x)) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
(log.f64 (exp.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal -2 binary64) x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))

eval72.0ms (1%)

Compiler: Compiled 14 848 to 1 884 computations (87.3% saved)

prune135.0ms (1.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	521	3	524
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	522	7	529

Accuracy

100.0%

Counts

529 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
✓	49.6%	(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
▶	57.0%	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
▶	100.0%	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
▶	85.5%	(.f64 (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
✓	55.4%	#s(literal 1 binary64)
✓	45.5%	#s(literal -1 binary64)

Compiler

Compiled 120 to 65 computations (45.8% saved)

simplify151.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(hypot.f64 (*.f64 y #s(literal 2 binary64)) x)
	cost-diff	0	(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
✓	cost-diff	128	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
	cost-diff	6144	(fma.f64 y #s(literal 2 binary64) x)
	cost-diff	0	(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
	cost-diff	0	(hypot.f64 (*.f64 y #s(literal 2 binary64)) x)
	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	256	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
	cost-diff	0	(hypot.f64 (*.f64 y #s(literal 2 binary64)) x)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 x y))
✓	cost-diff	384	(.f64 (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))

Rules

781×	`distribute-rgt-in`
777×	`distribute-lft-in`
429×	`fma-define`
382×	`associate-/r*`
361×	`times-frac`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	29	816
1	79	808
2	186	808
3	471	684
4	1187	684
5	3634	684
6	7486	684
7	7721	684
8	7787	682
9	7982	682

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
(.f64 y (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))))
(.f64 y (.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(.f64 (fma.f64 y #s(literal -2 binary64) x) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 y #s(literal -2 binary64) x) (fma.f64 y #s(literal 2 binary64) x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
(.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(fma.f64 y #s(literal 2 binary64) x)
y
(+.f64 #s(literal 2 binary64) (/.f64 x y))
#s(literal 2 binary64)
(/.f64 x y)
x
(hypot.f64 (*.f64 y #s(literal 2 binary64)) x)
(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal -2 binary64) x)
#s(literal -2 binary64)
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
(.f64 y (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))))
(.f64 y (.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(.f64 (fma.f64 y #s(literal -2 binary64) x) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (.f64 (fma.f64 y #s(literal -2 binary64) x) (fma.f64 y #s(literal 2 binary64) x)) (fma.f64 y (.f64 y #s(literal 4 binary64)) (*.f64 x x)))
(/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
(.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
(.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 y #s(literal 2 binary64)) x)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(fma.f64 y #s(literal 2 binary64) x)
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
x
(hypot.f64 (*.f64 y #s(literal 2 binary64)) x)
(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal -2 binary64) x)
#s(literal -2 binary64)
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(.f64 (fma.f64 y #s(literal 2 binary64) x) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (fma.f64 y #s(literal 2 binary64) x) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) (/.f64 (.f64 y #s(literal -2 binary64)) x) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
(.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
(.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal 2 binary64) x)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))
y
#s(literal 2 binary64)
x
(hypot.f64 (*.f64 y #s(literal 2 binary64)) x)
(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x)))
(fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (/.f64 y x))
(/.f64 (*.f64 y #s(literal -2 binary64)) x)
(*.f64 y (/.f64 #s(literal -2 binary64) x))
#s(literal -2 binary64)
(/.f64 y x)

localize107.0ms (1.5%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
	accuracy	100.0%	(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 y x))
	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
	accuracy	100.0%	(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
	accuracy	100.0%	(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(.f64 (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
✓	accuracy	85.9%	(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))

Samples

67.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 204 to 25 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 12.0ms (30.7% of total)

ival-div: 11.0ms (28.2% of total)

ival-fma: 6.0ms (15.4% of total)

ival-add: 5.0ms (12.8% of total)

ival-hypot: 4.0ms (10.2% of total)

adjust: 0.0ms (0% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

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

series64.0ms (0.9%)

Counts

9 → 156

Calls

Call 1

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

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) y))) y)) (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 2 binary64)>
#<alt (/.f64 x y)>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) y)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) y)) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 y x)) (.f64 #s(literal 2 binary64) (/.f64 y x)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 2 binary64) y)) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (.f64 #s(literal 2 binary64) y))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 2 binary64) y))) x))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (.f64 #s(literal 2 binary64) y))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 14 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -44 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 14 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 y x))>
#<alt (.f64 y (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 y (-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x (pow.f64 y #s(literal 4 binary64)))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
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#<alt #s(literal 1 binary64)>
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#<alt #s(literal 1 binary64)>
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#<alt #s(literal -1 binary64)>
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Calls

54 calls:

Time	Variable		Point	Expression
37.0ms	y	@	-inf	(* (/ (* y (+ 2 (/ x y))) (sqrt (+ (* (* y 2) (* y 2)) (* x x)))) (/ (+ (* y -2) x) (sqrt (+ (* (* y 2) (* y 2)) (* x x)))))
2.0ms	x	@	0	(+ 2 (/ x y))
2.0ms	y	@	-inf	(/ (+ (* y 2) x) (sqrt (+ (* (* y 2) (* y 2)) (* x x))))
2.0ms	y	@	inf	(* (/ (+ (* y 2) x) (sqrt (+ (* (* y 2) (* y 2)) (* x x)))) (+ 1 (* -2 (/ y x))))
1.0ms	y	@	0	(* (/ (+ (* y 2) x) (sqrt (+ (* (* y 2) (* y 2)) (* x x)))) (+ 1 (* -2 (/ y x))))

rewrite270.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`log1p-expm1-u`
218×	`associate-r`
213×	`expm1-log1p-u`
209×	`add-cube-cbrt`
208×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	418
1	477	378
2	7416	378

Stop Event

1×	node limit

Counts

9 → 349

Calls

Call 1

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

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

simplify251.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

585×	`times-frac`
543×	`fma-define`
373×	`associate-*r/`
279×	`distribute-rgt-in`
270×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1138	28435
1	3168	25787

Stop Event

1×	node limit

Counts

505 → 629

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) y))) y)) (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)))) y)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 2 binary64)
(/.f64 x y)
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) y)
(/.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) y)
(/.f64 (+.f64 x (*.f64 #s(literal 2 binary64) y)) y)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (*.f64 #s(literal 1/2 binary64) x)) y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 y x))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 y x)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal 2 binary64) y)) x)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (*.f64 #s(literal 2 binary64) y)) x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (fma.f64 y #s(literal -2 binary64) x))))
(/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (.f64 (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (fma.f64 y #s(literal -2 binary64) x)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (/.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) (fma.f64 y #s(literal -2 binary64) x)))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (.f64 (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (fma.f64 y #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (fma.f64 y #s(literal -2 binary64) x)) (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (*.f64 y (fma.f64 y #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))))
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))
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(/.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
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(/.f64 (.f64 (.f64 y (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 1 binary64)) (.f64 (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) (fma.f64 y #s(literal -2 binary64) x))))
(/.f64 (.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (neg.f64 (fma.f64 y #s(literal -2 binary64) x))) (.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (neg.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (.f64 (.f64 y (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (fma.f64 y #s(literal -2 binary64) x)) (.f64 (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 (.f64 y (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (neg.f64 (fma.f64 y #s(literal -2 binary64) x))) (.f64 (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (neg.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
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(/.f64 (.f64 (neg.f64 (fma.f64 y #s(literal -2 binary64) x)) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (.f64 (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 (neg.f64 (fma.f64 y #s(literal -2 binary64) x)) (.f64 y (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))))) (.f64 (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (neg.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x)))) (neg.f64 (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (neg.f64 (fma.f64 y #s(literal -2 binary64) x))) (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (.f64 y (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))))) (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 (.f64 y (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (.f64 (neg.f64 (fma.f64 y #s(literal -2 binary64) x)) (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))) (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (pow.f64 (cbrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(/.f64 (/.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (sqrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (sqrt.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(pow.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x)))) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (.f64 y (fma.f64 y #s(literal -2 binary64) x))) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 x y)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))) (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))))
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(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y)) (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (/.f64 x y) #s(literal 2 binary64)))
(pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x y) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (/.f64 (cbrt.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (sqrt.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (/.f64 (sqrt.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (sqrt.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (pow.f64 (cbrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (cbrt.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(pow.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (.f64 y (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(sqrt.f64 (pow.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))))))
(cbrt.f64 (pow.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))))
(log1p.f64 (expm1.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))))
(exp.f64 (log.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(.f64 (fma.f64 y #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (fma.f64 y #s(literal 2 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (sqrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (.f64 (sqrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 y #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (fma.f64 y #s(literal 2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (cbrt.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (sqrt.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) (/.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (sqrt.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (cbrt.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(pow.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) (fma.f64 y #s(literal 2 binary64) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (neg.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y #s(literal 2 binary64) x)) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (*.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 y #s(literal -2 binary64)) x)
(/.f64 (neg.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 x))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) #s(literal -2 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x)) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x #s(literal 0 binary64)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) y)) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
(-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x)) y)) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 0 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (.f64 x #s(literal 0 binary64)) y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1/4 binary64))))
(-.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) y))) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal 2 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x #s(literal 0 binary64)) y) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (+.f64 (.f64 x #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) y) #s(literal -1 binary64))
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#s(literal 1 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal -1 binary64)
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(log1p.f64 (expm1.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
(exp.f64 (log.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))))
(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x))
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 0 binary64))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 y #s(literal -2 binary64)) x)
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 y #s(literal -2 binary64))) (neg.f64 x))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 y)) (neg.f64 x))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(/.f64 (*.f64 (neg.f64 y) #s(literal -2 binary64)) (neg.f64 x))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(/.f64 (*.f64 y (/.f64 #s(literal -2 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 x))
(*.f64 (/.f64 y (cbrt.f64 x)) (/.f64 #s(literal -2 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(pow.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)) #s(literal 3 binary64))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(pow.f64 (pow.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)) #s(literal 2 binary64))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal -2 binary64) (/.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) #s(literal -2 binary64)))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x))))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x) #s(literal 3 binary64)))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 #s(literal -2 binary64) x))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -2 binary64) (/.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(exp.f64 (log.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) x)))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y #s(literal -2 binary64)) x)) #s(literal 1 binary64)))
(*.f64 y (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (/.f64 x y))

eval222.0ms (3.1%)

Compiler: Compiled 42 226 to 4 320 computations (89.8% saved)

prune192.0ms (2.7%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 442	5	1 447
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	1 444	10	1 454

Accuracy

100.0%

Counts

1 454 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.6%	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
	56.9%	(/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
	3.1%	(/.f64 (*.f64 y #s(literal 2 binary64)) x)
✓	100.0%	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
	57.0%	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x))))
✓	85.5%	(.f64 (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
	87.1%	(.f64 (/.f64 x (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
	56.6%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
✓	55.4%	#s(literal 1 binary64)
✓	45.5%	#s(literal -1 binary64)

Compiler

Compiled 375 to 145 computations (61.3% saved)

regimes25.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(.f64 (/.f64 x (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (.f64 y (+.f64 #s(literal 2 binary64) (/.f64 x y))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (*.f64 y #s(literal 2 binary64)) x)))

Outputs
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))

Calls

5 calls:

6.0ms	y
5.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
5.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
100.0%	1	`(*.f64 x x)`
100.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes19.0ms (0.3%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(.f64 (/.f64 x (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x))))
(/.f64 (fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64)))) (fma.f64 x x (.f64 y (.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 1 binary64))) (hypot.f64 (.f64 y #s(literal 2 binary64)) x))

Outputs
(.f64 (/.f64 x (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
#s(literal -1 binary64)

Calls

5 calls:

4.0ms	x
4.0ms	y
3.0ms	(*.f64 x x)
3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
3.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
94.2%	2	`x`
95.0%	2	`y`
90.2%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
93.0%	2	`(*.f64 x x)`
95.0%	2	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes13.0ms (0.2%)

Counts

6 → 4

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 y #s(literal 2 binary64)) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(/.f64 (.f64 (+.f64 x (.f64 y #s(literal 2 binary64))) (-.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Outputs
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
#s(literal -1 binary64)

Calls

5 calls:

3.0ms	x
3.0ms	y
2.0ms	(*.f64 x x)
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
2.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))

Results

Accuracy	Segments	Branch
75.4%	2	`(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)))`
81.6%	3	`(*.f64 x x)`
81.6%	3	`x`
86.6%	4	`y`
86.6%	4	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes3.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x))))
#s(literal -1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
82.9%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 y #s(literal 2 binary64)) x)

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
82.5%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
45.5%	1	`x`
45.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.513580886142543e+288	1.850665284853276e+289

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.9142886560609938e+107	3.072098754692859e+113
0.0ms	1.9917542253224134e-54	1.0608956983909459e-44
0.0ms	2.077528954157953e-131	1.6681759033607654e-108

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.1876292282177263e+53	2.7713258355401205e+56

Samples

8.0ms

128×

valid

Compiler

Compiled 200 to 142 computations (29% saved)

Precisions

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

ival-mult: 2.0ms (43.1% of total)

ival-sub: 1.0ms (21.6% of total)

ival-div: 1.0ms (21.6% of total)

ival-add: 1.0ms (21.6% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

bsearch140.0ms (2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
139.0ms	2.1876292282177263e+53	2.7713258355401205e+56

Samples

5.0ms

80×

valid

Compiler

Compiled 64 to 54 computations (15.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (33.8% of total)

ival-mult: 1.0ms (33.8% of total)

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

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
9×	`+-commutative`
5×	`sub-neg`
4×	`distribute-lft-neg-in`
4×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	527
1	78	527
2	93	527
3	101	527
4	107	527
5	109	527

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (.f64 (/.f64 x (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x)))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 199999999999999993762768094059853966870742538122559378813288423505583050273341290790508004790791769610518528 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 3400000000000000062021817223064150985813460560551870464 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(if (<=.f64 y #s(literal 599999999999999995932569204616976785877025065166438400 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 (.f64 y #s(literal 2 binary64)) x)))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (.f64 (/.f64 x (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 10000000000000000617278335278671568869943723109630112583100528505388133765396715589425391709444647966943104584514912613103459078543395617173821153536698722855425910210916188218613474303381375362727338596024627724499484625789034803081540112423670420191213257583185130503608895092113260150784 binary64)) (.f64 (/.f64 x (hypot.f64 (.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x)))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y)) (+.f64 (.f64 x x) (.f64 (.f64 y #s(literal 4 binary64)) y))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 199999999999999993762768094059853966870742538122559378813288423505583050273341290790508004790791769610518528 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal -1 binary64))))
(if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 1997919072202235/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x)))) (if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 1725436586697641/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 y (.f64 y #s(literal 4 binary64))) (.f64 x x))) (if (<=.f64 (.f64 y (.f64 y #s(literal 4 binary64))) #s(literal 199999999999999993762768094059853966870742538122559378813288423505583050273341290790508004790791769610518528 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 3400000000000000062021817223064150985813460560551870464 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(if (<=.f64 y #s(literal 3400000000000000062021817223064150985813460560551870464 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(if (<=.f64 y #s(literal 599999999999999995932569204616976785877025065166438400 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

soundness1.2s (16.9%)

Rules

1 046×	`log1p-expm1-u`
1 046×	`expm1-log1p-u`
948×	`log1p-expm1-u`
948×	`expm1-log1p-u`
896×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	533
1	109	505
2	274	505
3	707	505
4	2011	505
5	3582	505
6	3986	505
7	4155	505
8	4189	505
9	4214	505
10	4226	505
11	4526	505
12	4662	505
13	4662	505
14	4806	505
15	5825	505
16	5841	505
17	5841	505
0	17	195
1	206	177
2	2834	177
0	18	91
1	266	71
2	4147	71
0	22	278
1	340	198
2	4716	198

Stop Event

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

Compiler

Compiled 1 204 to 233 computations (80.6% saved)

preprocess121.0ms (1.7%)

Remove

(abs y)

(abs x)

Compiler

Compiled 698 to 244 computations (65% saved)

analyze3.0ms (0%)

sample1.3s (18.1%)

preprocess358.0ms (5%)

explain265.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify111.0ms (1.6%)

localize84.0ms (1.2%)

series21.0ms (0.3%)

rewrite343.0ms (4.8%)

simplify242.0ms (3.4%)

eval98.0ms (1.4%)

prune54.0ms (0.8%)

simplify111.0ms (1.6%)

localize47.0ms (0.7%)

series7.0ms (0.1%)

rewrite133.0ms (1.9%)

simplify93.0ms (1.3%)

eval154.0ms (2.2%)

prune25.0ms (0.4%)

simplify148.0ms (2.1%)

localize143.0ms (2%)

series15.0ms (0.2%)

rewrite146.0ms (2%)

simplify234.0ms (3.3%)

eval72.0ms (1%)

prune135.0ms (1.9%)

simplify151.0ms (2.1%)

localize107.0ms (1.5%)

series64.0ms (0.9%)

rewrite270.0ms (3.8%)

simplify251.0ms (3.5%)

eval222.0ms (3.1%)

prune192.0ms (2.7%)

regimes25.0ms (0.3%)

regimes19.0ms (0.3%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

bsearch140.0ms (2%)

simplify10.0ms (0.1%)

soundness1.2s (16.9%)

preprocess121.0ms (1.7%)

end0.0ms (0%)

Profiling