Details

analyze136.0ms (3.6%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
42.9%	37.5%	50%	0.1%	12.5%	0%	0%	7
55.6%	46.8%	37.5%	0.1%	15.6%	0%	0%	8
63.6%	53.1%	30.4%	0.1%	16.4%	0%	0%	9
73.9%	58.5%	20.7%	0.1%	20.7%	0%	0%	10
79.3%	62%	16.2%	0.1%	21.7%	0%	0%	11
85.7%	65%	10.8%	0.1%	24.1%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.0s (27%)

Results

982.0ms	8256×	body	256	valid
37.0ms	424×	body	256	infinite

Bogosity

preprocess74.0ms (2%)

Algorithm

2×	egg-herbie

Rules

1636×	`fma-def`
230×	`unsub-neg`
184×	`distribute-lft-in`
154×	`associate-r`
140×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	36	38
2	74	38
3	164	38
4	309	38
5	517	38
6	1013	38
7	1398	38
8	1820	38
9	1970	38
10	1972	38
11	1972	38
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (-.f64 (.f64 y y) (*.f64 y x)))

Outputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 2 (-.f64 (.f64 y y) (*.f64 y x)))
(.f64 2 (.f64 y (-.f64 y x)))
(.f64 (.f64 2 y) (-.f64 y x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify45.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1232×	`fma-def`
158×	`associate-r`
124×	`distribute-lft-in`
116×	`fma-neg`
116×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	21	19
2	46	19
3	105	19
4	212	19
5	296	19
6	502	19
7	860	19
8	1255	19
9	1443	19
10	1493	19

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (-.f64 x y) (.f64 2 x))

eval1.0ms (0%)

Compiler: Compiled 25 to 14 computations (44% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (-.f64 x y) (.f64 2 x))
▶	100.0%	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize9.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 x x) (.f64 x y))
✓	100.0%	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	x	@	-inf	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
1.0ms	x	@	0	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
0.0ms	y	@	0	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
0.0ms	y	@	inf	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

rewrite87.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`log-prod`
968×	`fma-def`
780×	`prod-exp`
648×	`pow-prod-down`
460×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	204	32
2	2744	32

Stop Event

1×	node limit

Counts

2 → 232

Calls

Call 1

Inputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(-.f64 (.f64 x x) (.f64 x y))

Outputs
(+.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (.f64 x (-.f64 x y))) (.f64 2 (fma.f64 x (neg.f64 y) (.f64 x y))))
(+.f64 (.f64 2 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2))
(+.f64 0 (.f64 2 (.f64 x (-.f64 x y))))
(+.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 y (neg.f64 x))))
(+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 y (neg.f64 x)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 x (-.f64 x y))))) 1)
(/.f64 (.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4)))
(/.f64 (.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (*.f64 x (+.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) 2) (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) 2) (*.f64 x (+.f64 x y)))
(pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 1)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) 4) 1/2)
(pow.f64 (pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) 4))
(log.f64 (pow.f64 (exp.f64 2) (*.f64 x (-.f64 x y))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x (-.f64 x y))))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 x (-.f64 x y)))))
(exp.f64 (log.f64 (.f64 2 (.f64 x (-.f64 x y)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (*.f64 x (-.f64 x y)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 x (-.f64 x y)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (*.f64 x (-.f64 x y))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 2 (.f64 x (-.f64 x y))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (*.f64 x (-.f64 x y))))) 2))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 x (-.f64 x y)))))
(fma.f64 2 (.f64 x x) (.f64 2 (*.f64 y (neg.f64 x))))
(fma.f64 2 (.f64 x (-.f64 x y)) (.f64 2 (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 2 (.f64 x (-.f64 x y)) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 2))
(fma.f64 x (.f64 (-.f64 x y) 2) (.f64 2 (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 x (.f64 (-.f64 x y) 2) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 2))
(fma.f64 (.f64 x x) 2 (.f64 (*.f64 y (neg.f64 x)) 2))
(fma.f64 (.f64 x (-.f64 x y)) 2 (.f64 2 (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (.f64 x (-.f64 x y)) 2 (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 2))
(fma.f64 (.f64 2 (.f64 x (-.f64 x y))) 1 (.f64 2 (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (.f64 2 (.f64 x (-.f64 x y))) 1 (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2))
(fma.f64 1 (.f64 2 (.f64 x (-.f64 x y))) (.f64 2 (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 1 (.f64 2 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (.f64 2 (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 2))
(fma.f64 (cbrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) (pow.f64 (cbrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) 2) (.f64 2 (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (cbrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) (pow.f64 (cbrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) 2) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) 2) (cbrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) (.f64 2 (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) 2) (cbrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (.f64 (sqrt.f64 (.f64 x (-.f64 x y))) 2) (.f64 2 (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (.f64 (sqrt.f64 (.f64 x (-.f64 x y))) 2) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 2))
(fma.f64 (sqrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) (sqrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) (.f64 2 (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (sqrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) (sqrt.f64 (.f64 2 (.f64 x (-.f64 x y)))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2))
(fma.f64 (.f64 2 x) (-.f64 x y) (.f64 2 (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (.f64 2 x) (-.f64 x y) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 2))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2)) (cbrt.f64 (.f64 x (-.f64 x y))) (.f64 2 (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2)) (cbrt.f64 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 2))
(fma.f64 (.f64 2 (sqrt.f64 (.f64 x (-.f64 x y)))) (sqrt.f64 (.f64 x (-.f64 x y))) (.f64 2 (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (.f64 2 (sqrt.f64 (.f64 x (-.f64 x y)))) (sqrt.f64 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 2))
(+.f64 (.f64 x x) (.f64 y (neg.f64 x)))
(+.f64 (.f64 x x) (.f64 (*.f64 y (neg.f64 x)) 1))
(+.f64 (.f64 x x) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (.f64 x y))))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y)))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(+.f64 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(+.f64 (.f64 x (-.f64 x y)) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(+.f64 (.f64 x (-.f64 x y)) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (.f64 y (neg.f64 x)) (.f64 x x))
(+.f64 0 (*.f64 x (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 x y)))))
(*.f64 x (-.f64 x y))
(.f64 (.f64 x (-.f64 x y)) 1)
(.f64 1 (.f64 x (-.f64 x y)))
(.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (*.f64 x (-.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 x y)))
(.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (*.f64 x (-.f64 x y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 x y))))
(*.f64 (-.f64 x y) x)
(.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4)) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (.f64 x (+.f64 x y)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (*.f64 x (+.f64 x y)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (+.f64 x y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x y) (*.f64 x (+.f64 x y)) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (+.f64 x y))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (.f64 y (neg.f64 x)) 2) (.f64 (.f64 x x) (*.f64 y (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 3) (pow.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (-.f64 (pow.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2) (.f64 (.f64 x (-.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y (neg.f64 x)) 2)) (-.f64 (.f64 x x) (*.f64 y (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 x (-.f64 x y)) 2) (pow.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2)) (-.f64 (.f64 x (-.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(pow.f64 (*.f64 x (-.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 x y))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4)) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (.f64 x (+.f64 x y)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) -1)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 x y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (pow.f64 (exp.f64 (neg.f64 x)) y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (-.f64 x y)))) (exp.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(log.f64 (.f64 (exp.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (pow.f64 (exp.f64 x) (-.f64 x y))))
(log.f64 (.f64 (exp.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (+.f64 1 (expm1.f64 (*.f64 x (-.f64 x y))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (neg.f64 x)) y) (+.f64 1 (expm1.f64 (.f64 x x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (pow.f64 (exp.f64 y) x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (+.f64 1 (expm1.f64 (.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (-.f64 x y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 x y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (-.f64 x y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 x y)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (-.f64 x y))))
(exp.f64 (+.f64 (log.f64 (-.f64 x y)) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 x y))))
(fma.f64 x x (*.f64 y (neg.f64 x)))
(fma.f64 x x (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 x x (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 x x (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))
(fma.f64 x (neg.f64 y) (*.f64 x x))
(fma.f64 x (-.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 x (-.f64 x y) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 x (-.f64 x y) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 x (-.f64 x y) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 x (-.f64 x y) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (.f64 x x) 1 (.f64 y (neg.f64 x)))
(fma.f64 (.f64 x x) 1 (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (.f64 x x) 1 (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (.f64 x x) 1 (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(fma.f64 (.f64 x (-.f64 x y)) 1 (fma.f64 x (neg.f64 y) (.f64 x y)))
(fma.f64 (.f64 x (-.f64 x y)) 1 (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (.f64 x (-.f64 x y)) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (.f64 x (-.f64 x y)) 1 (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(fma.f64 (.f64 x (-.f64 x y)) 1 (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 1 (.f64 x x) (.f64 y (neg.f64 x)))
(fma.f64 1 (.f64 x x) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 1 (.f64 x x) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 1 (.f64 x x) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 1 (.f64 x (-.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y)))
(fma.f64 1 (.f64 x (-.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 1 (.f64 x (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 1 (.f64 x (-.f64 x y)) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(fma.f64 1 (.f64 x (-.f64 x y)) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 1 (fma.f64 x (neg.f64 y) (.f64 x y)) (.f64 x (-.f64 x y)))
(fma.f64 1 (.f64 y (neg.f64 x)) (.f64 x x))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (.f64 x (-.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2) (cbrt.f64 (.f64 x (-.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 x y)) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 x y)) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (.f64 y (neg.f64 x)))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (.f64 (*.f64 y (neg.f64 x)) 1))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (neg.f64 (cbrt.f64 (.f64 x y))) (*.f64 x x))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (fma.f64 x (neg.f64 y) (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (neg.f64 x) y (*.f64 x x))
(fma.f64 (-.f64 x y) x (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (-.f64 x y) x (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (-.f64 x y) x (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 x y) x (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (-.f64 x y) x (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (*.f64 x (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 x))) 2) (cbrt.f64 (.f64 y (neg.f64 x))) (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (sqrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (*.f64 x (-.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 x))) (sqrt.f64 (.f64 y (neg.f64 x))) (*.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x x))
(fma.f64 -1 (.f64 x y) (.f64 x x))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (*.f64 x x))
(fma.f64 (.f64 (neg.f64 x) 1) y (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))

simplify105.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1758×	`times-frac`
1346×	`distribute-lft-in`
774×	`unswap-sqr`
580×	`fma-neg`
530×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	7210
1	1012	5466
2	3021	5338

Stop Event

1×	node limit

Counts

280 → 270

Calls

Call 1

Inputs
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(+.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)))
(+.f64 (.f64 2 (.f64 x (-.f64 x y))) (.f64 2 (fma.f64 x (neg.f64 y) (.f64 x y))))
(+.f64 (.f64 2 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2))
(+.f64 0 (.f64 2 (.f64 x (-.f64 x y))))
(+.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 y (neg.f64 x))))
(+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 y (neg.f64 x)) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 x (-.f64 x y))))) 1)
(/.f64 (.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4)))
(/.f64 (.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (*.f64 x (+.f64 x y)))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) 2) (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) 2) (*.f64 x (+.f64 x y)))
(pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 1)
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(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (neg.f64 (cbrt.f64 (.f64 x y))) (*.f64 x x))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (fma.f64 x (neg.f64 y) (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (neg.f64 x) y (*.f64 x x))
(fma.f64 (-.f64 x y) x (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (-.f64 x y) x (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (-.f64 x y) x (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 x y) x (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (-.f64 x y) x (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (*.f64 x (-.f64 x y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 x))) 2) (cbrt.f64 (.f64 y (neg.f64 x))) (*.f64 x x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (sqrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (*.f64 x (-.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 x))) (sqrt.f64 (.f64 y (neg.f64 x))) (*.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x x))
(fma.f64 -1 (.f64 x y) (.f64 x x))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (*.f64 x x))
(fma.f64 (.f64 (neg.f64 x) 1) y (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x x))
(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))

Outputs
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 y (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(.f64 x (.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 y (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 -2 (.f64 y x))
(.f64 y (.f64 x -2))
(.f64 y (.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(.f64 -1 (.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (pow.f64 x 2) (.f64 -1 (.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(+.f64 (.f64 x (-.f64 x y)) (.f64 x (-.f64 x y)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (.f64 x (-.f64 x y))) (.f64 2 (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 2))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 0 (.f64 2 (.f64 x (-.f64 x y))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 2 (.f64 x x)) (.f64 2 (.f64 y (neg.f64 x))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (.f64 (.f64 x x) 2) (.f64 (.f64 y (neg.f64 x)) 2))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (*.f64 x (-.f64 x y))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2) (.f64 x (-.f64 x y))))))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 x (-.f64 x y))))) 1)
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 y x)))
(.f64 x (.f64 2 (-.f64 x y)))
(/.f64 (.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4)))
(/.f64 2 (/.f64 (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (pow.f64 x 4)) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y x) 3))))
(.f64 (/.f64 2 (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (pow.f64 x 4))) (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)))
(.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (pow.f64 x 4))) 2)
(/.f64 (.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (*.f64 x (+.f64 x y)))
(.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) x) (/.f64 2 (+.f64 y x)))
(.f64 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (*.f64 x (+.f64 y x))) 2)
(.f64 2 (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (*.f64 x (+.f64 y x))))
(/.f64 (.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) 2) (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4)))
(/.f64 2 (/.f64 (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (pow.f64 x 4)) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y x) 3))))
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(fma.f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (*.f64 x y)))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (neg.f64 (cbrt.f64 (.f64 x y))) (*.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 x y))) (sqrt.f64 (.f64 x (-.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (*.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (.f64 y x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (.f64 y x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (.f64 y x))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x y)) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (neg.f64 y) x (*.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (fma.f64 x (neg.f64 y) (.f64 x y)))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (*.f64 x (+.f64 y x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (fma.f64 (.f64 y (neg.f64 x)) 1 (*.f64 x y)))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (*.f64 x (+.f64 y x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (*.f64 x (+.f64 y x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (.f64 (fma.f64 x (neg.f64 y) (*.f64 x y)) 1))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (*.f64 x (+.f64 y x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (.f64 x (+.f64 x y)) (pow.f64 x 4))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 y x) (.f64 x (+.f64 y x)) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (*.f64 x (+.f64 y x)) (pow.f64 x 4)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 (/.f64 1 x) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 (/.f64 1 x) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 (/.f64 1 x) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 (/.f64 1 x) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (.f64 x (+.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (/.f64 (/.f64 1 x) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 y x) 2)) (.f64 x (+.f64 y x)))
(fma.f64 (neg.f64 x) y (*.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (-.f64 x y) x (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (-.f64 x y) x (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (-.f64 x y) x (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (-.f64 x y) x (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (-.f64 x y) x (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (*.f64 x (-.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (neg.f64 x))) 2) (cbrt.f64 (.f64 y (neg.f64 x))) (*.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (.f64 y x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (.f64 y x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (.f64 y x))
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 y (neg.f64 x)))
(-.f64 (.f64 (sqrt.f64 x) (pow.f64 x 3/2)) (.f64 y x))
(fma.f64 (sqrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (sqrt.f64 (fma.f64 x (neg.f64 y) (.f64 x y))) (*.f64 x (-.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 x))) (sqrt.f64 (.f64 y (neg.f64 x))) (*.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 -1 (.f64 x y) (.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (fma.f64 x (neg.f64 y) (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (fma.f64 (.f64 y (neg.f64 x)) 1 (.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) 1))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (+.f64 x (sqrt.f64 (.f64 x y))) (-.f64 x (sqrt.f64 (.f64 x y))) (+.f64 (fma.f64 x (neg.f64 y) (.f64 x y)) (fma.f64 x (neg.f64 y) (.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (*.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (.f64 (neg.f64 x) 1) y (.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x x))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 y (neg.f64 x)))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (.f64 (.f64 y (neg.f64 x)) 1))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (fma.f64 x (neg.f64 y) (fma.f64 x (neg.f64 y) (*.f64 x y))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 x y) (fma.f64 x (neg.f64 y) (.f64 x y)))))
(fma.f64 y (neg.f64 x) (*.f64 x x))
(*.f64 x (-.f64 x y))

localize7.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 2 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (-.f64 x y) (.f64 2 x))
0.0ms	x	@	inf	(.f64 (-.f64 x y) (.f64 2 x))
0.0ms	y	@	inf	(.f64 (-.f64 x y) (.f64 2 x))
0.0ms	x	@	-inf	(.f64 (-.f64 x y) (.f64 2 x))
0.0ms	y	@	0	(.f64 (-.f64 x y) (.f64 2 x))

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`pow1`
1704×	`add-exp-log`
1702×	`log1p-expm1-u`
1702×	`expm1-log1p-u`
1672×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2280	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.f64 (-.f64 x y) (.f64 2 x))

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

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1478×	`log-prod`
1154×	`associate-r`
982×	`associate-l`
540×	`associate-+l+`
534×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	1137
1	202	857
2	689	857
3	3964	857

Stop Event

1×	node limit

Counts

43 → 32

Calls

Call 1

Inputs
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 (.f64 x 2) x) (.f64 (.f64 x 2) (neg.f64 y)))
(+.f64 (.f64 x (.f64 x 2)) (.f64 (neg.f64 y) (.f64 x 2)))
(-.f64 (+.f64 1 (.f64 x (.f64 (-.f64 x y) 2))) 1)
(/.f64 (.f64 (.f64 x 2) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (.f64 x 2) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))
(/.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 x 2)) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 x 2)) (+.f64 x y))
(pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (-.f64 x y) 2))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (-.f64 x y) 2))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (*.f64 x 2)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (.f64 x 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (-.f64 x y) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (-.f64 x y) 2))))
(exp.f64 (log.f64 (.f64 x (.f64 (-.f64 x y) 2))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (-.f64 x y) 2))))

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

eval558.0ms (14.6%)

Compiler: Compiled 5232 to 1893 computations (63.8% saved)

prune285.0ms (7.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	299	3	302
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	299	5	304

Accurracy

100.0%

Counts

304 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 2 x))
▶	68.3%	(.f64 y (.f64 x -2))
▶	48.1%	(*.f64 x (+.f64 x x))
▶	100.0%	(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	100.0%	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

localize8.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))

Compiler

Compiled 26 to 8 computations (69.2% saved)

series35.0ms (0.9%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	y	@	0	(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))
0.0ms	x	@	-inf	(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))
0.0ms	x	@	0	(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))
0.0ms	x	@	inf	(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))
0.0ms	y	@	inf	(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`pow1`
1664×	`add-exp-log`
1662×	`log1p-expm1-u`
1662×	`expm1-log1p-u`
1624×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	219	19
2	2577	19

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))

Outputs
(+.f64 (.f64 2 (.f64 y x)) (.f64 2 (.f64 x x)))
(+.f64 (.f64 (.f64 y x) 2) (.f64 (.f64 x x) 2))
(-.f64 (+.f64 1 (.f64 2 (.f64 x (+.f64 y x)))) 1)
(pow.f64 (.f64 2 (.f64 x (+.f64 y x))) 1)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x (+.f64 y x)))) 3)
(pow.f64 (pow.f64 (.f64 2 (.f64 x (+.f64 y x))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 x (+.f64 y x)))) 2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 x (+.f64 y x)) 2)))
(log.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 y x))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 x (+.f64 y x))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 x (+.f64 y x)))))
(exp.f64 (log.f64 (.f64 2 (.f64 x (+.f64 y x)))))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 x (+.f64 y x)))))

simplify302.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

1684×	`fma-def`
982×	`associate-r`
960×	`log-prod`
880×	`associate-l`
562×	`exp-sum`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	811
1	130	775
2	446	703
3	3233	703
4	6847	703

Stop Event

1×	node limit

Counts

37 → 25

Calls

Call 1

Inputs
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(.f64 -2 (.f64 y x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(+.f64 (.f64 2 (.f64 y x)) (.f64 2 (.f64 x x)))
(+.f64 (.f64 (.f64 y x) 2) (.f64 (.f64 x x) 2))
(-.f64 (+.f64 1 (.f64 2 (.f64 x (+.f64 y x)))) 1)
(pow.f64 (.f64 2 (.f64 x (+.f64 y x))) 1)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x (+.f64 y x)))) 3)
(pow.f64 (pow.f64 (.f64 2 (.f64 x (+.f64 y x))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 x (+.f64 y x)))) 2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 x (+.f64 y x)) 2)))
(log.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 y x))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 x (+.f64 y x))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 x (+.f64 y x)))))
(exp.f64 (log.f64 (.f64 2 (.f64 x (+.f64 y x)))))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 x (+.f64 y x)))))

Outputs
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(.f64 x (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 x y))
(.f64 x (.f64 -2 y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 x y))
(.f64 x (.f64 -2 y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(.f64 -2 (.f64 y x))
(.f64 -2 (.f64 x y))
(.f64 x (.f64 -2 y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(.f64 x (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(.f64 x (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (*.f64 y x)))
(fma.f64 2 (.f64 x x) (.f64 -2 (*.f64 x y)))
(.f64 x (+.f64 (.f64 2 x) (*.f64 -2 y)))
(.f64 x (fma.f64 2 x (.f64 -2 y)))
(+.f64 (.f64 2 (.f64 y x)) (.f64 2 (.f64 x x)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(+.f64 (.f64 (.f64 y x) 2) (.f64 (.f64 x x) 2))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(-.f64 (+.f64 1 (.f64 2 (.f64 x (+.f64 y x)))) 1)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(pow.f64 (.f64 2 (.f64 x (+.f64 y x))) 1)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x (+.f64 y x)))) 3)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(pow.f64 (pow.f64 (.f64 2 (.f64 x (+.f64 y x))) 3) 1/3)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(pow.f64 (sqrt.f64 (.f64 2 (.f64 x (+.f64 y x)))) 2)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(sqrt.f64 (.f64 4 (pow.f64 (.f64 x (+.f64 y x)) 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(log.f64 (pow.f64 (exp.f64 2) (*.f64 x (+.f64 y x))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 x (+.f64 y x))) 3))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 x (+.f64 y x)))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(exp.f64 (log.f64 (.f64 2 (.f64 x (+.f64 y x)))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 x (+.f64 y x)))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))

localize4.0ms (0.1%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

localize41.0ms (1.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

eval4.0ms (0.1%)

Compiler: Compiled 213 to 114 computations (46.5% saved)

prune6.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	25	5	30

Accurracy

100.0%

Counts

30 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 2 x))
✓	68.3%	(.f64 y (.f64 x -2))
✓	48.1%	(*.f64 x (+.f64 x x))
✓	100.0%	(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))
✓	100.0%	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes17.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 x (+.f64 x x))
(.f64 y (.f64 x -2))
(.f64 (-.f64 x y) (.f64 2 x))
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))

Outputs
(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))

Calls

4 calls:

4.0ms	y
4.0ms	x
4.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(-.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 63 to 36 computations (42.9% saved)

regimes38.0ms (1%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 x (+.f64 x x))
(.f64 y (.f64 x -2))
(.f64 (-.f64 x y) (.f64 2 x))
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Calls

4 calls:

25.0ms	(-.f64 (.f64 x x) (.f64 x y))
4.0ms	x
4.0ms	y
4.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 54 to 32 computations (40.7% saved)

regimes8.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x (+.f64 x x))
(.f64 y (.f64 x -2))
(.f64 (-.f64 x y) (.f64 2 x))

Outputs
(.f64 (-.f64 x y) (.f64 2 x))

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes51.0ms (1.3%)

Accuracy

Total -45.1b remaining (-624.7%)

Threshold costs -45.1b (-624.7%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 x (+.f64 x x))
(.f64 y (.f64 x -2))

Outputs
(.f64 y (.f64 x -2))
(*.f64 x (+.f64 x x))
(.f64 y (.f64 x -2))

Calls

2 calls:

37.0ms	y
13.0ms	x

Results

Accuracy	Segments	Branch
87.7%	5	`x`
88.7%	3	`y`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch41.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	4.9464162357739216e-33	2.7742862819107056e-26
12.0ms	-1.93216214088026e-87	-6.002155624396643e-89

Results

38.0ms

256×

body

256

valid

Compiler

Compiled 272 to 187 computations (31.3% saved)

simplify152.0ms (4%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative`
10×	`sub-neg`
10×	`+-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	133
1	54	133
2	66	133
3	71	133
4	73	133

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 (-.f64 x y) (.f64 2 x))
(if (<=.f64 y -1063878752534457/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (.f64 y (.f64 x -2)) (if (<=.f64 y 1598517415830675/45671926166590716193865151022383844364247891968) (.f64 x (+.f64 x x)) (.f64 y (*.f64 x -2))))
(*.f64 x (+.f64 x x))

Outputs
(.f64 2 (fma.f64 (neg.f64 y) x (.f64 x x)))
(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (-.f64 (.f64 x x) (*.f64 y x)))
(.f64 (-.f64 x y) (.f64 2 x))
(if (<=.f64 y -1063878752534457/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (.f64 y (.f64 x -2)) (if (<=.f64 y 1598517415830675/45671926166590716193865151022383844364247891968) (.f64 x (+.f64 x x)) (.f64 y (*.f64 x -2))))
(if (or (<=.f64 y -1063878752534457/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944) (not (<=.f64 y 1598517415830675/45671926166590716193865151022383844364247891968))) (.f64 y (.f64 x -2)) (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))

Compiler

Compiled 59 to 38 computations (35.6% saved)

soundness556.0ms (14.6%)

Rules

1758×	`times-frac`
1758×	`times-frac`
1346×	`distribute-lft-in`
1346×	`distribute-lft-in`
1232×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	204	32
2	2744	32
0	424	7210
1	1012	5466
2	3021	5338
0	424	7210
1	1012	5466
2	3021	5338
0	9	19
1	21	19
2	46	19
3	105	19
4	212	19
5	296	19
6	502	19
7	860	19
8	1255	19
9	1443	19
10	1493	19

Stop Event

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

Compiler

Compiled 146 to 76 computations (47.9% saved)

end34.0ms (0.9%)

Compiler: Compiled 51 to 27 computations (47.1% saved)

Details

analyze136.0ms (3.6%)

sample1.0s (27%)

preprocess74.0ms (2%)

simplify45.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite87.0ms (2.3%)

simplify105.0ms (2.8%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite57.0ms (1.5%)

simplify52.0ms (1.4%)

eval558.0ms (14.6%)

prune285.0ms (7.5%)

localize8.0ms (0.2%)

series35.0ms (0.9%)

rewrite59.0ms (1.6%)

simplify302.0ms (7.9%)

localize4.0ms (0.1%)

localize41.0ms (1.1%)

eval4.0ms (0.1%)

prune6.0ms (0.1%)

regimes17.0ms (0.5%)

regimes38.0ms (1%)

regimes8.0ms (0.2%)

regimes51.0ms (1.3%)

bsearch41.0ms (1.1%)

simplify152.0ms (4%)

soundness556.0ms (14.6%)

end34.0ms (0.9%)

Profiling