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 22 to 13 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (69.2% of total)

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

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

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

const: 0.0ms (0% of total)

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

sample1.4s (12.8%)

Results

968.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 748.0ms

ival-mult: 576.0ms (77% of total)

ival-div: 56.0ms (7.5% of total)

ival-add: 51.0ms (6.8% of total)

ival-sub: 50.0ms (6.7% of total)

const: 13.0ms (1.7% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess382.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-neg`
703×	`fma-define`
490×	`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	705	505
4	2019	505
5	3567	505
6	3985	505
7	4154	505
8	4188	505
9	4213	505
10	4225	505
11	4525	505
12	4661	505
13	4661	505
14	4805	505
15	5810	505
16	5826	505
17	5826	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)

explain238.0ms (2.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(/.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)))`
13	-	-	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`x`
0	-	-	`y`
0	-	-	`(+.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))`
0	-	-	`(*.f64 x x)`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 y #s(literal 4 binary64))`
0	-	-	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Results

91.0ms

512×

valid

Compiler

Compiled 129 to 66 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 45.0ms (73.3% of total)

ival-sub: 5.0ms (8.1% of total)

ival-add: 5.0ms (8.1% of total)

ival-div: 4.0ms (6.5% of total)

const: 2.0ms (3.3% of total)

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

eval0.0ms (0%)

Compiler: Compiled 37 to 21 computations (43.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(/.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)))))
▶	53.5%	(/.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

▶

53.5%

(/.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)))))

▶

53.5%

(/.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 23 computations (42.5% saved)

localize246.0ms (2.2%)

Algorithm

2×	egg-herbie

Localize:

Found 16 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)
✓	accuracy	100.0%	(*.f64 y #s(literal 4 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal -4 binary64))
✓	accuracy	98.4%	(fma.f64 x x (.f64 y (.f64 y #s(literal -4 binary64))))
✓	accuracy	54.4%	(/.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	95.2%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) y))
✓	accuracy	54.4%	(/.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)))

Rules

998×	`fma-define`
565×	`fma-neg`
369×	`times-frac`
173×	`cancel-sign-sub-inv`
170×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	196
1	30	188
2	62	188
3	126	188
4	250	188
5	437	188
6	763	188
7	1120	188
8	2025	188
9	3461	188
10	3753	188
11	3803	188
12	3863	188
13	3863	188
0	17	205
1	27	205
2	31	205
3	39	205

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

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

Call 2

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))

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

Results

92.0ms

256×

valid

Compiler

Compiled 107 to 56 computations (47.7% saved)

Precisions

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

ival-mult: 44.0ms (63.3% of total)

ival-fma: 13.0ms (18.7% of total)

ival-div: 5.0ms (7.2% of total)

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

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

const: 2.0ms (2.9% of total)

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

series54.0ms (0.5%)

Counts

9 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite320.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`log1p-expm1-u`
948×	`expm1-log1p-u`
237×	`fma-neg`
131×	`add-exp-log`
131×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	280
1	340	198
2	4714	198

Stop Event

1×	node limit

Counts

9 → 336

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

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

simplify289.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-neg`
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	18821
1	1160	17227
2	3899	16441

Stop Event

1×	node limit

Counts

492 → 302

Calls

Call 1

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

Outputs
#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))
(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 (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))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.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) (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))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1/8 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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.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) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 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 #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 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 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 -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 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -4 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 2 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)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -8 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -8 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))))))
(+.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 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (fma.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 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -4 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.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 #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 #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 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 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 -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 #s(literal 1 binary64) (-.f64 (.f64 #s(literal -4 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 2 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)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -8 binary64))))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 32 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -8 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))))))
(+.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 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 6 binary64)))))) (.f64 #s(literal 4 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (fma.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 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -4 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.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 #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 (.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 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)))))
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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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#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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#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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#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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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #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 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #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 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #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 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #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 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #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 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64))) #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 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal -4 binary64))
(pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))
(*.f64 y #s(literal 4 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(*.f64 y #s(literal 4 binary64))
(neg.f64 (*.f64 y #s(literal 4 binary64)))
(*.f64 y #s(literal -4 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 16 binary64)))
(fabs.f64 (*.f64 y #s(literal 4 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)))))
(*.f64 y #s(literal 4 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -4 binary64)) y)))
(neg.f64 (log.f64 (pow.f64 (exp.f64 #s(literal -4 binary64)) y)))
(cbrt.f64 (pow.f64 (*.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)))
(*.f64 y #s(literal 4 binary64))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 y #s(literal 4 binary64))
(exp.f64 (log.f64 (*.f64 y #s(literal 4 binary64))))
(*.f64 y #s(literal 4 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 y #s(literal 4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 #s(literal 0 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))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 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))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.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))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))))
(*.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)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(-.f64 #s(literal 0 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))
(pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 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))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 64 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)))
(pow.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -4 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.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))))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))))
(*.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)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))

eval122.0ms (1.1%)

Compiler: Compiled 9850 to 6737 computations (31.6% saved)

prune63.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	371	4	375
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	372	5	377

Accuracy

99.6%

Counts

377 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(/.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)))
▶	53.5%	(/.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)))
▶	51.4%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
▶	51.5%	#s(literal 1 binary64)
▶	49.2%	#s(literal -1 binary64)

Compiler

Compiled 65 to 44 computations (32.3% saved)

localize749.0ms (6.7%)

Algorithm

4×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	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)
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
✓	cost-diff	13440	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
	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	54.4%	(/.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)))
✓	accuracy	100.0%	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))

Rules

713×	`fma-neg`
489×	`div-sub`
396×	`fma-define`
373×	`distribute-lft-in`
367×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
0	1	1
1	8	1
0	13	65
1	27	65
2	45	65
3	65	65
0	18	257
1	35	245
2	75	233
3	171	233
4	500	233
5	1697	233
6	3037	229
7	6296	229
8	7929	229

Stop Event

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

Calls

Call 1

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

Call 2

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

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

Call 3

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Call 4

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Results

522.0ms

256×

valid

Compiler

Compiled 106 to 65 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 173.0ms (83.6% of total)

ival-hypot: 16.0ms (7.7% of total)

ival-add: 6.0ms (2.9% of total)

ival-div: 5.0ms (2.4% of total)

ival-sub: 4.0ms (1.9% of total)

const: 3.0ms (1.5% of total)

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

series21.0ms (0.2%)

Counts

5 → 108

Calls

Call 1

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

27 calls:

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

rewrite191.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1013×	`log1p-expm1-u`
915×	`expm1-log1p-u`
148×	`add-cube-cbrt`
147×	`add-log-exp`
146×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	136
1	349	116
2	4869	116

Stop Event

1×	node limit

Counts

5 → 119

Calls

Call 1

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

simplify294.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

330×	`fma-define`
289×	`cancel-sign-sub-inv`
281×	`fma-neg`
269×	`*-commutative`
263×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	563	9454
1	1520	8902
2	5516	8685

Stop Event

1×	node limit

Counts

227 → 304

Calls

Call 1

Inputs
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.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))))) x)
(/.f64 (+.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 -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)
(/.f64 (+.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 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))))) x)
(/.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.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))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.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 -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.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 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))))) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 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 1 binary64) x))
(+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -20 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 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 1 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 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)))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 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)))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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))))))) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) y)
(/.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 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)))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 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)))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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))))))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (.f64 #s(literal 2 binary64) y))
(+.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)))))
(+.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)))))
x
(.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))))))
(.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)))))))
(.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))))))))
(*.f64 #s(literal -1 binary64) x)
(.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)))))))
(.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))))))))
(.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)))))))))
x
(+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(+.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)))))
(+.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)))))
(*.f64 #s(literal 2 binary64) y)
(.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))))))
(.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)))))))
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(*.f64 #s(literal -2 binary64) y)
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(.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 x (.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))))) (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 (+.f64 x (.f64 y #s(literal -2 binary64))) (pow.f64 (hypot.f64 x (*.f64 y #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))))) (/.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 x (.f64 y #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))))) (.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 x (*.f64 y #s(literal 2 binary64))) #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 x (*.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (hypot.f64 x (.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)))))
(.f64 (.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal -2 binary64))) (fma.f64 y #s(literal 2 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #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)))) (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 1 binary64)) (.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal -2 binary64))))
(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (+.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 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (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 (+.f64 x (.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)) (/.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 (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.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 (/.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 x (.f64 y #s(literal 2 binary64))) #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 (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #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 x (.f64 y #s(literal 2 binary64))) #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 x (.f64 y #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))))) (hypot.f64 x (*.f64 y #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))))) #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 x (.f64 y #s(literal 2 binary64))) #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 (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #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))))) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #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 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 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 (-.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 x (*.f64 y #s(literal 2 binary64))) #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 x (*.f64 y #s(literal 2 binary64))) #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 x (*.f64 y #s(literal 2 binary64))) #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 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x (.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))))) #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 x (.f64 y #s(literal 2 binary64))) #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 x (.f64 y #s(literal 2 binary64))) #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 x (*.f64 y #s(literal 2 binary64))) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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 x (.f64 y #s(literal 2 binary64))) #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 x (*.f64 y #s(literal 2 binary64))) #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 x (*.f64 y #s(literal 2 binary64))) #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 x (.f64 y #s(literal 2 binary64))) #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 x (*.f64 y #s(literal 2 binary64))) #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 x (*.f64 y #s(literal 2 binary64))) #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 x (*.f64 y #s(literal 2 binary64))) #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 x (.f64 y #s(literal 2 binary64))) #s(literal -2 binary64)))) #s(literal 1 binary64)))

Outputs
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 3/256 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 3/256 binary64) (pow.f64 y #s(literal 5 binary64)))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 3/256 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.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))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (+.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 -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))))) x)
(/.f64 (+.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 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -12 binary64)) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (+.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))))) x))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) x))
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eval302.0ms (2.7%)

Compiler: Compiled 12549 to 9312 computations (25.8% saved)

prune229.0ms (2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	500	3	503
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	501	7	508

Accuracy

100.0%

Counts

508 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(/.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)))
✓	53.5%	(/.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 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
▶	49.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
▶	51.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) x)
✓	51.5%	#s(literal 1 binary64)
✓	49.2%	#s(literal -1 binary64)

Compiler

Compiled 98 to 67 computations (31.6% saved)

localize540.0ms (4.8%)

Algorithm

3×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
✓	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 x (*.f64 y #s(literal 2 binary64))))
✓	cost-diff	6656	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
	cost-diff	0	(*.f64 y #s(literal 2 binary64))
	cost-diff	0	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
	cost-diff	0	(*.f64 y #s(literal 2 binary64))
	cost-diff	0	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) x)
✓	accuracy	100.0%	(*.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal -2 binary64))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
	accuracy	100.0%	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) x)

Rules

1026×	`distribute-lft-out`
972×	`fma-define`
965×	`distribute-lft-in`
774×	`distribute-rgt-in`
449×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	98
1	27	92
2	47	92
3	73	92
4	75	92
0	15	115
1	32	109
2	63	109
3	102	109
4	122	109
5	124	109
0	18	252
1	32	240
2	67	240
3	127	230
4	208	230
5	382	230
6	742	230
7	1154	230
8	1758	228
9	2805	228
10	3576	228
11	4449	228
12	5788	228
13	5989	228
14	6027	228
15	6029	228
16	6029	228

Stop Event

1×	node limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Results

226.0ms

256×

valid

Compiler

Compiled 132 to 85 computations (35.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-div: 64.0ms (37.4% of total)

ival-mult: 50.0ms (29.2% of total)

ival-hypot: 42.0ms (24.6% of total)

ival-fma: 8.0ms (4.7% of total)

ival-add: 4.0ms (2.3% of total)

const: 4.0ms (2.3% of total)

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

series28.0ms (0.2%)

Counts

7 → 156

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<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 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (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))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.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 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 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 -20 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)))))))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) y)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)))))))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)))) y))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/8 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 -3/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 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 5/1024 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 3/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 y x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 y (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))))) x)>
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#<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))))>

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* (/ 1 (sqrt (+ (* x x) (* (* y 2) (* y 2))))) (* y -2))
2.0ms	y	@	inf	(* (/ 1 (sqrt (+ (* x x) (* (* y 2) (* y 2))))) (* y -2))
1.0ms	x	@	inf	(* (/ 1 (sqrt (+ (* x x) (* (* y 2) (* y 2))))) (* y -2))
1.0ms	x	@	-inf	(/ (+ (* y 2) x) (sqrt (+ (* x x) (* (* y 2) (* y 2)))))
1.0ms	y	@	inf	(* (/ 1 (sqrt (+ (* x x) (* (* y 2) (* y 2))))) x)

rewrite147.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log1p-expm1-u`
774×	`expm1-log1p-u`
304×	`fma-define`
198×	`log1p-undefine`
152×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	260
1	309	210
2	4722	210

Stop Event

1×	node limit

Counts

7 → 221

Calls

Call 1

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

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

simplify220.0ms (2%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-define`
406×	`associate-r`
369×	`associate-l`
367×	`*-commutative`
347×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	852	16936
1	2287	14973

Stop Event

1×	node limit

Counts

377 → 462

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.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 -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.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 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
#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)))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (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))))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.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)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 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 -20 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) y)
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x))) y)
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)))))))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) y)
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)))))))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)))) y))
#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)))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 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 5/1024 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 3/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 y x))
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 y (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))))) x)
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 y (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) x)
(*.f64 #s(literal 2 binary64) (/.f64 y x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 y (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) y) (+.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 y (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (.f64 y (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) x))
(*.f64 #s(literal -2 binary64) (/.f64 y x))
(.f64 y (-.f64 (.f64 #s(literal 4 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))))
(.f64 y (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -12 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 y (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 40 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#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)))) #s(literal 1 binary64))
(-.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 2 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)))) (pow.f64 y #s(literal 4 binary64))))) #s(literal 1 binary64))
(-.f64 (+.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 2 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)))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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))))))) (pow.f64 y #s(literal 6 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.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 binary64) (+.f64 (.f64 #s(literal -2 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)))) (pow.f64 y #s(literal 4 binary64)))) (.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 binary64) (+.f64 (.f64 #s(literal -2 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)))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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))))))) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(*.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 #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))))))
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(.f64 (sqrt.f64 (pow.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)) #s(literal 2 binary64))) (sqrt.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))))
(.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 (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)) (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))))))
(.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) (cbrt.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal -1/2 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 (pow.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 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))
(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)))
(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))))))
(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 (/.f64 #s(literal 1 binary64) (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)))
(+.f64 x (*.f64 y #s(literal 2 binary64)))
(+.f64 x (neg.f64 (*.f64 y #s(literal 2 binary64))))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 (neg.f64 y) #s(literal -2 binary64)))
(+.f64 x (.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 2 binary64)))))
(+.f64 x (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(+.f64 (*.f64 y #s(literal 2 binary64)) x)
(+.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 (neg.f64 (.f64 y #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 y #s(literal 2 binary64))))
(+.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) y (*.f64 y #s(literal 2 binary64))))
(+.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 (neg.f64 y) #s(literal -2 binary64) (*.f64 y #s(literal 2 binary64))))
(+.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64))))
(+.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (sqrt.f64 (.f64 y #s(literal 2 binary64))) (*.f64 y #s(literal 2 binary64))))
(-.f64 x (*.f64 y #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) x)) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (fma.f64 y #s(literal 2 binary64) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x))
(*.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (fma.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)) (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 x x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y #s(literal 2 binary64)) x))
(pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal 2 binary64) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 3/256 binary64) (pow.f64 y #s(literal 5 binary64))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 3/256 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/16 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) y)))
#s(literal 1 binary64)
(+.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)))))
(fma.f64 #s(literal -2 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.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 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -12 binary64))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#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)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (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))))) #s(literal 1 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
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(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #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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x
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x
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x
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) x) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)))
(/.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) x))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) x) (pow.f64 x #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 x (fma.f64 y #s(literal -2 binary64) x))))
(/.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) x))
(*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 y #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 2 binary64) x)))
(/.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)) (fma.f64 y #s(literal 2 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -8 binary64))) (fma.f64 x x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 x (*.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 y #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 y #s(literal 2 binary64) (neg.f64 x)))
(pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 y #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 3 binary64))
(fma.f64 y #s(literal 2 binary64) x)
(pow.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y #s(literal 2 binary64) x)
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 2 binary64))
(fma.f64 y #s(literal 2 binary64) x)
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 2 binary64)))
(fma.f64 y #s(literal 2 binary64) x)
(log.f64 (exp.f64 (fma.f64 y #s(literal 2 binary64) x)))
(fma.f64 y #s(literal 2 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal 2 binary64) x))))
(fma.f64 y #s(literal 2 binary64) x)
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 y) #s(literal 2 binary64))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 #s(literal 2 binary64)) y)))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 2 binary64) x) #s(literal 3 binary64)))
(fma.f64 y #s(literal 2 binary64) x)
(expm1.f64 (log1p.f64 (fma.f64 y #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal 2 binary64) x)))
(fma.f64 y #s(literal 2 binary64) x)
(exp.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) x)))
(fma.f64 y #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 2 binary64) x)

eval776.0ms (6.9%)

Compiler: Compiled 28464 to 20833 computations (26.8% saved)

prune411.0ms (3.7%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1098	7	1105
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	1099	13	1112

Accuracy

100.0%

Counts

1112 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.5%	(/.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)))
✓	53.5%	(/.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)))
▶	51.9%	(/.f64 x (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
	99.7%	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))
	97.9%	(.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))
▶	100.0%	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
✓	49.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
✓	51.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) x)
▶	51.4%	(*.f64 (/.f64 #s(literal 1 binary64) x) x)
▶	51.1%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
▶	53.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
✓	51.5%	#s(literal 1 binary64)
✓	49.2%	#s(literal -1 binary64)

Compiler

Compiled 364 to 255 computations (29.9% saved)

localize890.0ms (8%)

Algorithm

5×	egg-herbie

Localize:

Found 34 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
	cost-diff	0	(*.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
	cost-diff	0	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
	cost-diff	0	(*.f64 y #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 y x))
	cost-diff	0	(*.f64 y #s(literal 2 binary64))
	cost-diff	0	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 x (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1 binary64) x) x)
	cost-diff	0	(*.f64 y #s(literal -2 binary64))
	cost-diff	0	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
	cost-diff	0	(*.f64 y #s(literal 2 binary64))
✓	cost-diff	384	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
	accuracy	100.0%	(*.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
	accuracy	100.0%	(/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))
	accuracy	100.0%	(*.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 y x))
✓	accuracy	100.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
	accuracy	100.0%	(/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))
	accuracy	100.0%	(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) x)
	accuracy	100.0%	(*.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 x (.f64 y #s(literal 2 binary64))))
	accuracy	100.0%	(/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))
✓	accuracy	100.0%	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))

Rules

1509×	`distribute-lft-in`
1026×	`distribute-lft-out`
973×	`fma-define`
963×	`distribute-lft-in`
933×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	252
1	33	240
2	67	240
3	125	230
4	207	230
5	383	230
6	742	230
7	1154	230
8	1756	228
9	2804	228
10	3584	228
11	4461	228
12	5795	228
13	5996	228
14	6034	228
15	6036	228
16	6036	228
0	8	16
1	17	16
2	19	16
3	22	16
0	11	66
1	17	66
2	33	66
3	51	66
0	19	242
1	39	222
2	79	222
3	170	222
4	405	222
5	1064	220
6	2108	214
7	3524	214
8	5910	214
9	6193	214
10	6369	214
11	6446	214
12	6516	214
13	7524	214
0	20	235
1	42	223
2	80	223
3	167	223
4	375	223
5	896	223
6	2009	223
7	2834	221
8	4622	221
9	6804	221

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 #s(literal 2 binary64) y))))
(.f64 (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 1 binary64)) (/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (.f64 #s(literal 2 binary64) y))))
(/.f64 (fma.f64 y (+.f64 (.f64 y (/.f64 #s(literal -4 binary64) x)) #s(literal 0 binary64)) x) (hypot.f64 x (.f64 #s(literal 2 binary64) y)))
(/.f64 (fma.f64 y (.f64 y (/.f64 #s(literal -4 binary64) x)) x) (hypot.f64 x (.f64 #s(literal 2 binary64) y)))
(+.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 y (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 y x)
y
x
(/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 #s(literal 2 binary64) y)))
(/.f64 (fma.f64 y #s(literal -2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) y)))
(+.f64 x (*.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal -2 binary64) x)
(*.f64 y #s(literal -2 binary64))
#s(literal -2 binary64)
(hypot.f64 x (*.f64 y #s(literal 2 binary64)))
(hypot.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)

Call 3

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

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

Call 4

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

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Call 5

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

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

Results

400.0ms

256×

valid

Compiler

Compiled 234 to 142 computations (39.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 78.0ms (41.1% of total)

ival-hypot: 61.0ms (32.1% of total)

ival-div: 23.0ms (12.1% of total)

ival-add: 22.0ms (11.6% of total)

const: 6.0ms (3.2% of total)

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

series38.0ms (0.3%)

Counts

11 → 132

Calls

Call 1

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

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 #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<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 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (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))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
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#<alt (-.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) (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 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 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 (+.f64 x (.f64 #s(literal -1 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 -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) y)) (.f64 #s(literal 1/2 binary64) (+.f64 x (.f64 #s(literal -1 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 -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) y)))) y)) (.f64 #s(literal 1/2 binary64) (+.f64 x (*.f64 #s(literal -1 binary64) x)))) y)))>

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(* (+ 1 (* 2 (/ y x))) (/ (+ x (* y -2)) (sqrt (+ (* x x) (* (* y 2) (* y 2))))))
2.0ms	y	@	-inf	(* (/ (+ (* y 2) x) (sqrt (+ (* x x) (* (* y 2) (* y 2))))) (/ (+ x (* y -2)) (sqrt (+ (* x x) (* (* y 2) (* y 2))))))
2.0ms	y	@	0	(* 1/2 (/ x y))
1.0ms	x	@	inf	(* (+ (* 1/2 (/ x y)) 1) (/ (+ x (* y -2)) (sqrt (+ (* x x) (* (* y 2) (* y 2))))))
1.0ms	x	@	-inf	(* (+ (* 1/2 (/ x y)) 1) (/ (+ x (* y -2)) (sqrt (+ (* x x) (* (* y 2) (* y 2))))))

rewrite114.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

229×	`log1p-expm1-u`
229×	`expm1-log1p-u`
227×	`add-cube-cbrt`
226×	`add-log-exp`
225×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	371
1	526	317

Stop Event

1×	node limit

Counts

11 → 342

Calls

Call 1

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

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

simplify228.0ms (2%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-define`
404×	`times-frac`
350×	`distribute-lft-in`
346×	`distribute-rgt-in`
312×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1229	23082
1	3449	21512

Stop Event

1×	node limit

Counts

474 → 684

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))
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 x (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/2048 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 3/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.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 -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.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 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
#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)))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (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))))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.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)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 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 -20 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)) y)
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x))) y)
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)))))))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)))) y)
(*.f64 #s(literal -1/2 binary64) (/.f64 x y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.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))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (+.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)))))))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) x)))) y))
#s(literal 1 binary64)
(+.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)))))
(+.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)))))))
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(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (fma.f64 y #s(literal 2 binary64) x)) (.f64 (+.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
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(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 y #s(literal 2 binary64) x))) (.f64 (+.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) y))) (neg.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 y #s(literal 2 binary64) x)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (fma.f64 y #s(literal 2 binary64) x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 2 binary64) x))) (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))) (neg.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64)))) (+.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)) (neg.f64 (fma.f64 y #s(literal 2 binary64) x))) (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 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) (neg.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 x #s(literal 1/2 binary64)) y) #s(literal 3 binary64))) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64)) (hypot.f64 x (.f64 y #s(literal 2 binary64))))
(/.f64 (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
(/.f64 (/.f64 (.f64 (fma.f64 y #s(literal 2 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) (sqrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (sqrt.f64 (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
(pow.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 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 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.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)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) x) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y x))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 y x)) (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) x))
(.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(.f64 (.f64 y (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) x))
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(exp.f64 (log.f64 (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.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)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #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) (pow.f64 (/.f64 y 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))))
(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)))) (-.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))))
#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 #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))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
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#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))
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#s(literal 1 binary64)
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#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64))
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(/.f64 y x)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 x)))
(/.f64 (/.f64 y (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) x))
(*.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y x)))
(*.f64 (cbrt.f64 (/.f64 y x)) (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 y #s(literal 2 binary64))) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) x))
(/.f64 y x)
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 y x)
(.f64 (.f64 y (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (.f64 y (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))))
(*.f64 y (/.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (cbrt.f64 x)))
(.f64 (.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 y x)
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 y x)
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 y x)) #s(literal 3 binary64))
(/.f64 y x)
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 y x)
(pow.f64 (sqrt.f64 (/.f64 y x)) #s(literal 2 binary64))
(/.f64 y x)
(neg.f64 (/.f64 y (neg.f64 x)))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(/.f64 y x)
(sqrt.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y x))
(log.f64 (exp.f64 (/.f64 y x)))
(/.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y x))))
(/.f64 y x)
(cbrt.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)))
(/.f64 y x)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 y x)
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 y x)
(expm1.f64 (log1p.f64 (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 y x)))
(/.f64 y x)
(exp.f64 (log.f64 (/.f64 y x)))
(/.f64 y x)
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(/.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 (/.f64 x y) #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 x y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x y)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(/.f64 (/.f64 x (cbrt.f64 y)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x y)))
(*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(/.f64 x y)
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 y))) (cbrt.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(/.f64 x y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(/.f64 x y)
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (/.f64 x y))
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/.f64 x y)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 x y)

eval776.0ms (6.9%)

Compiler: Compiled 41147 to 28860 computations (29.9% saved)

prune586.0ms (5.2%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1557	7	1564
Fresh	2	0	2
Picked	1	4	5
Done	2	4	6
Total	1562	15	1577

Accuracy

100.0%

Counts

1577 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	53.5%	(/.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)))
✓	53.5%	(/.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)))
	50.6%	(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))
✓	100.0%	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
	99.7%	(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))))
	100.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (fma.f64 y #s(literal 2 binary64) x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
✓	51.4%	(*.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	51.1%	(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
	50.6%	(.f64 (+.f64 (.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)))
✓	53.2%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
	53.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))
	52.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) x))
✓	51.5%	#s(literal 1 binary64)
✓	49.2%	#s(literal -1 binary64)

Compiler

Compiled 635 to 430 computations (32.3% saved)

regimes118.0ms (1.1%)

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) x))
(.f64 (+.f64 (.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 (.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 x (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #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))))
(/.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 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.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)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64))) (fma.f64 y #s(literal 2 binary64) x))) (/.f64 (+.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) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.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)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))

Outputs

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

Calls

5 calls:

61.0ms	x
42.0ms	(*.f64 x x)
6.0ms	y
4.0ms	(.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
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 24 computations (38.5% saved)

regimes212.0ms (1.9%)

Counts

17 → 5

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) x))
(.f64 (+.f64 (.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 (.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 x (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #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))))
(/.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)))))

Outputs
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 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)))
(fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 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 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))

Calls

5 calls:

147.0ms	y
41.0ms	(.f64 (.f64 y #s(literal 4 binary64)) y)
13.0ms	x
7.0ms	(*.f64 x x)
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
82.3%	3	`x`
86.0%	5	`y`
78.0%	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)))`
82.3%	3	`(*.f64 x x)`
86.0%	5	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 39 to 24 computations (38.5% saved)

regimes9.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) x))
(.f64 (+.f64 (.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 (.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 x (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))

Outputs

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

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

Calls

1 calls:

7.0ms

(*.f64 (*.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
84.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) x))
(.f64 (+.f64 (.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 (.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 x (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))

Outputs

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

(*.f64 (+.f64 (*.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)))

Calls

1 calls:

6.0ms

(*.f64 (*.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
84.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes6.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) x)
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (*.f64 y #s(literal -2 binary64))) x))
(.f64 (+.f64 (.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 (.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 x (hypot.f64 x (*.f64 y #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (*.f64 y #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/8 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))

Outputs

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

(/.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 (*.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)))

Calls

1 calls:

5.0ms

(*.f64 (*.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
84.3%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

Calls

1 calls:

13.0ms

(*.f64 (*.f64 y #s(literal 4 binary64)) y)

Results

Accuracy	Segments	Branch
84.2%	3	`(.f64 (.f64 y #s(literal 4 binary64)) y)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
78.8%	4	`x`
78.3%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
78.5%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
77.5%	4	`y`
78.0%	4	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (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:

0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
49.2%	1	`y`
49.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	7.361748821269887e+250	1.9276639719933344e+251
0.0ms	3.117485286601314e+154	1.125524697693397e+155
0.0ms	3.783137428309541e+103	5.8251871858934696e+122
0.0ms	2.3544479685988565e-283	4.3365644257694484e-276

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.361748821269887e+250	1.9276639719933344e+251
0.0ms	2.3544479685988565e-283	4.3365644257694484e-276

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.361748821269887e+250	1.9276639719933344e+251
0.0ms	2.3544479685988565e-283	4.3365644257694484e-276

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.361748821269887e+250	1.9276639719933344e+251
0.0ms	2.3544479685988565e-283	4.3365644257694484e-276

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.361748821269887e+250	1.9276639719933344e+251
0.0ms	2.3544479685988565e-283	4.3365644257694484e-276

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch30.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	1.4247205261403966e-65	3.217310868363478e-65
3.0ms	1.5327323952759424e-103	1.6701641900926943e-103
14.0ms	4.3464614656054135e-130	3.320828169218706e-127

Results

19.0ms

224×

valid

Compiler

Compiled 530 to 380 computations (28.3% saved)

Precisions

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

ival-mult: 8.0ms (64.3% of total)

ival-div: 2.0ms (16.1% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	1.4247205261403966e-65	3.217310868363478e-65
2.0ms	1.5327323952759424e-103	1.6701641900926943e-103
17.0ms	1.112241588719583e-141	4.7758335381155326e-138

Results

20.0ms

224×

valid

Compiler

Compiled 334 to 254 computations (24% saved)

Precisions

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

ival-mult: 9.0ms (66% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.4247205261403966e-65	3.217310868363478e-65
2.0ms	1.5327323952759424e-103	1.6701641900926943e-103
16.0ms	4.3464614656054135e-130	3.320828169218706e-127

Results

20.0ms

224×

valid

Compiler

Compiled 138 to 128 computations (7.2% saved)

Precisions

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

ival-mult: 9.0ms (66.2% of total)

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

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

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

const: 0.0ms (0% of total)

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

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative`
15×	`+-commutative`
12×	`not-or`
12×	`if-if-or-not`
10×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1895
1	138	1847
2	174	1847
3	198	1843
4	209	1843
5	214	1843

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) x) (hypot.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8371160993642713/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 50000000000000000095783754286733436810797756363259600557640175729968966210199437798061807255409016176640 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))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 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 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8371160993642713/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 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 (.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64)))))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8371160993642713/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 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 (.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)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8371160993642713/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) x)) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 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 (.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)))))
(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8371160993642713/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) x)) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 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 #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)))))
(if (<=.f64 x #s(literal 3841214036521631/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (.f64 (+.f64 (.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))) (if (<=.f64 x #s(literal 6455624695217271/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) x)) (if (<=.f64 x #s(literal 1600709841616659/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (+.f64 (.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 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) x)))))
(if (<=.f64 x #s(literal 6201111167598451/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 6455624695217271/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) x)) (if (<=.f64 x #s(literal 6165697167708613/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(literal -1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) x)))))
(if (<=.f64 x #s(literal 8048257981283417/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 6455624695217271/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 3794275180128377/118571099379011784113736688648896417641748464297615937576404566024103044751294464 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 x (.f64 y #s(literal 2 binary64)))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (*.f64 y #s(literal 2 binary64)))))
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(if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 8371160993642713/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320448 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 (+.f64 x (.f64 y #s(literal -2 binary64))) (hypot.f64 x (.f64 y #s(literal 2 binary64))))) (if (<=.f64 (.f64 (.f64 y #s(literal 4 binary64)) y) #s(literal 100000000000000004827911520448877862495844246422343156393075429187162764617507655537214145823852994263659565935453370610499537728043164857800396298916132410948026391308085570960636368309306117879178753245974556315302310250472271728848176952226298724352 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 (.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)))))
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#s(literal -1 binary64)

soundness796.0ms (7.1%)

Rules

1013×	`log1p-expm1-u`
948×	`log1p-expm1-u`
948×	`expm1-log1p-u`
915×	`expm1-log1p-u`
774×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	260
1	309	210
2	4722	210
0	1229	23082
1	3449	21512
0	852	16936
1	2287	14973
0	22	136
1	349	116
2	4869	116
0	22	280
1	340	198
2	4714	198

Stop Event

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

Compiler

Compiled 1444 to 891 computations (38.3% saved)

preprocess149.0ms (1.3%)

Remove

(abs y)

(abs x)

Compiler

Compiled 1408 to 890 computations (36.8% saved)

analyze3.0ms (0%)

sample1.4s (12.8%)

preprocess382.0ms (3.4%)

explain238.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize246.0ms (2.2%)

series54.0ms (0.5%)

rewrite320.0ms (2.9%)

simplify289.0ms (2.6%)

eval122.0ms (1.1%)

prune63.0ms (0.6%)

localize749.0ms (6.7%)

series21.0ms (0.2%)

rewrite191.0ms (1.7%)

simplify294.0ms (2.6%)

eval302.0ms (2.7%)

prune229.0ms (2%)

localize540.0ms (4.8%)

series28.0ms (0.2%)

rewrite147.0ms (1.3%)

simplify220.0ms (2%)

eval776.0ms (6.9%)

prune411.0ms (3.7%)

localize890.0ms (8%)

series38.0ms (0.3%)

rewrite114.0ms (1%)

simplify228.0ms (2%)

eval776.0ms (6.9%)

prune586.0ms (5.2%)

regimes118.0ms (1.1%)

regimes212.0ms (1.9%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch30.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch31.0ms (0.3%)

simplify69.0ms (0.6%)

soundness796.0ms (7.1%)

preprocess149.0ms (1.3%)

end0.0ms (0%)

Profiling