Details

analyze80.0ms (3.4%)

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)

sample1.3s (52.8%)

Results

1.1s	8256×	body	256	valid
85.0ms	472×	body	256	infinite

Bogosity

preprocess73.0ms (3.1%)

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)

simplify48.0ms (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 (0.1%)

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)

localize8.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series31.0ms (1.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	y	@	0	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
2.0ms	y	@	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)))
1.0ms	x	@	-inf	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

rewrite81.0ms (3.4%)

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	19
1	204	19
2	2744	19

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(.f64 2 (-.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))

simplify79.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1068×	`times-frac`
860×	`fma-def`
626×	`distribute-lft-in`
598×	`distribute-rgt-in`
596×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	2304
1	344	2126
2	995	1700
3	4254	1652

Stop Event

1×	node limit

Counts

82 → 77

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 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))

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

localize6.0ms (0.3%)

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	x	@	-inf	(.f64 (-.f64 x y) (.f64 2 x))
0.0ms	y	@	inf	(.f64 (-.f64 x y) (.f64 2 x))
0.0ms	y	@	0	(.f64 (-.f64 x y) (.f64 2 x))

rewrite73.0ms (3.1%)

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 (2.2%)

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))

eval59.0ms (2.5%)

Compiler: Compiled 1595 to 700 computations (56.1% saved)

prune15.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Accurracy

100.0%

Counts

111 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 2 x))
▶	69.4%	(.f64 y (.f64 -2 x))
▶	45.5%	(*.f64 x (+.f64 x x))
✓	100.0%	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize4.0ms (0.2%)

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

localize6.0ms (0.2%)

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

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (-.f64 x y) (.f64 2 x))
✓	69.4%	(.f64 y (.f64 -2 x))
✓	45.5%	(*.f64 x (+.f64 x x))
✓	100.0%	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 22 computations (35.3% saved)

regimes45.0ms (1.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

33.0ms	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 54 to 32 computations (40.7% saved)

regimes38.0ms (1.6%)

Accuracy

Total -48.0b remaining (-823.7%)

Threshold costs -48b (-823.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	y
17.0ms	x

Results

Accuracy	Segments	Branch
81.6%	5	`x`
90.9%	3	`y`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch89.0ms (3.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.0379779698698912e-78	9.424662597695312e-78
79.0ms	-8.575057129655463e-55	-2.2823017622914648e-63

Results

86.0ms

240×

body

256

valid

Compiler

Compiled 256 to 176 computations (31.3% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
2×	`neg-mul-1`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	83
1	35	83
2	40	83
3	42	83
4	43	83

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y -8141631274498795/904625697166532776746648320380374280103671755200316906558262375061821325312) (*.f64 y (*.f64 -2 x)) (if (<=.f64 y 677925572924117/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (*.f64 x (+.f64 x x)) (*.f64 y (*.f64 -2 x))))

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

Outputs
(.f64 (-.f64 x y) (.f64 2 x))
(.f64 (-.f64 x y) (.f64 x 2))
(if (<=.f64 y -8141631274498795/904625697166532776746648320380374280103671755200316906558262375061821325312) (.f64 y (.f64 -2 x)) (if (<=.f64 y 677925572924117/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (.f64 x (+.f64 x x)) (.f64 y (*.f64 -2 x))))
(if (or (<=.f64 y -8141631274498795/904625697166532776746648320380374280103671755200316906558262375061821325312) (not (<=.f64 y 677925572924117/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064))) (.f64 y (.f64 x -2)) (*.f64 x (+.f64 x x)))
(*.f64 x (+.f64 x x))

Compiler

Compiled 37 to 24 computations (35.1% saved)

soundness283.0ms (11.9%)

Rules

1232×	`fma-def`
1068×	`times-frac`
1068×	`times-frac`
860×	`fma-def`
860×	`fma-def`

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
0	142	2304
1	344	2126
2	995	1700
3	4254	1652
0	142	2304
1	344	2126
2	995	1700
3	4254	1652

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 91 to 52 computations (42.9% saved)

end37.0ms (1.6%)

Compiler: Compiled 33 to 18 computations (45.5% saved)

Details

analyze80.0ms (3.4%)

sample1.3s (52.8%)

preprocess73.0ms (3.1%)

simplify48.0ms (2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.3%)

series31.0ms (1.3%)

rewrite81.0ms (3.4%)

simplify79.0ms (3.3%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite73.0ms (3.1%)

simplify52.0ms (2.2%)

eval59.0ms (2.5%)

prune15.0ms (0.6%)

localize4.0ms (0.2%)

localize6.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes45.0ms (1.9%)

regimes38.0ms (1.6%)

bsearch89.0ms (3.7%)

simplify7.0ms (0.3%)

soundness283.0ms (11.9%)

end37.0ms (1.6%)

Profiling