Details

analyze117.0ms (5.9%)

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)

sample1.2s (58.2%)

Results

1.1s	8256×	body	256	valid
45.0ms	478×	body	256	infinite

Bogosity

preprocess60.0ms (3%)

Algorithm

2×	egg-herbie

Rules

1028×	`fma-def`
288×	`associate-r`
248×	`distribute-lft-in`
230×	`*-commutative`
216×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	33	38
2	77	38
3	149	38
4	267	38
5	571	38
6	1201	38
7	1671	38
8	1972	38
9	2118	38
10	2120	38
11	2120	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))
(.f64 (-.f64 y x) (.f64 2 y))

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify47.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def`
372×	`associate-r`
184×	`*-commutative`
168×	`distribute-lft-in`
160×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	21	19
2	49	19
3	100	19
4	177	19
5	283	19
6	534	19
7	1043	19
8	1449	19
9	1683	19
10	1733	19

Stop Event

1×

saturated

Counts

1 → 4

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

eval1.0ms (0%)

Compiler: Compiled 32 to 17 computations (46.9% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 (-.f64 x y) (.f64 2 x))
▶	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`*-commutative`
756×	`unswap-sqr`
752×	`distribute-lft-in`
742×	`distribute-rgt-in`
682×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	200	19
2	2718	19

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (.f64 2 x)) (.f64 2 (.f64 (.f64 x y) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (.f64 2 x)) (+.f64 (.f64 2 (.f64 (.f64 x y) 0)) (.f64 2 (.f64 (.f64 x y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (.f64 2 x)) (.f64 2 (.f64 2 (.f64 (.f64 x y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (.f64 2 x)) (.f64 2 (fma.f64 (neg.f64 x) y (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (.f64 2 x)) (.f64 2 (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (.f64 2 x)) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (.f64 2 x)) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y))))))) (#(struct:change #<rule 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x y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 x x)) (.f64 2 (+.f64 (.f64 x (neg.f64 y)) (.f64 (.f64 x y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 x x)) (.f64 (+.f64 (.f64 x (neg.f64 y)) (.f64 (.f64 x y) 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 x (neg.f64 y))) (.f64 2 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 2 (.f64 x x))) (.f64 1 (.f64 2 (.f64 x (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2 x) x) (.f64 (.f64 2 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2 (.f64 x x)) 1) (.f64 (.f64 2 (.f64 x (neg.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 2 x)) (.f64 (neg.f64 y) (.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 x y) (.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 x y) (.f64 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y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 x) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 x (-.f64 x y)))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 x (-.f64 x y)))) (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)))) (sqrt.f64 (.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 x (-.f64 x y))) 2)) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 x 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y) 3))) 2) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) 1) (.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) 1) (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) (.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))) (.f64 2 (sqrt.f64 (.f64 x (-.f64 x y))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) (.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (.f64 2 (sqrt.f64 (.f64 x (-.f64 x y))))) (sqrt.f64 (.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) x) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 2 (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 x y) (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 x y) (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 x y) (*.f64 2 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 2 (*.f64 (*.f64 x y) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (+.f64 (*.f64 2 (*.f64 (*.f64 x y) 0)) (*.f64 2 (*.f64 (*.f64 x y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 2 (*.f64 2 (*.f64 (*.f64 x y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 2 (fma.f64 (neg.f64 x) y (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 2 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (*.f64 2 x) (fma.f64 (neg.f64 y) 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (*.f64 2 x) (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (*.f64 2 x) (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (*.f64 2 (*.f64 (*.f64 x y) 0)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (*.f64 2 (*.f64 (*.f64 x y) 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (fma.f64 (neg.f64 x) y (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (fma.f64 (neg.f64 y) 1 y) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y) y) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2) y) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (*.f64 x y) 0)) (*.f64 (-.f64 x y) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 x x)) (*.f64 2 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 x x)) (+.f64 (*.f64 2 (*.f64 x (neg.f64 y))) (*.f64 2 (*.f64 (*.f64 x y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 x x)) (*.f64 2 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 x x)) (*.f64 (+.f64 (*.f64 x (neg.f64 y)) (*.f64 (*.f64 x y) 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 x (neg.f64 y))) (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 1 (*.f64 2 (*.f64 x (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 x) x) (*.f64 (*.f64 2 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (*.f64 x x)) 1) (*.f64 (*.f64 2 (*.f64 x (neg.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 2 x)) (*.f64 (neg.f64 y) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 2 x)))) (-.f64 1 (*.f64 2 (*.f64 (*.f64 x y) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 1 (*.f64 x (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2)) (/.f64 (*.f64 x (+.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3)) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))) (*.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 0) (*.f64 (*.f64 x y) 0)))) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 (*.f64 x y) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (neg.f64 y)) 3))) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x y) 2) (neg.f64 (*.f64 y (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 0) 3))) (+.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 0) (-.f64 (*.f64 (*.f64 x y) 0) (*.f64 x (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (neg.f64 (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2))) (*.f64 (neg.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3)))) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2)))) (*.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3)))) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 x) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 x) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sqrt.f64 (*.f64 x (-.f64 x y)))) (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2)))) (sqrt.f64 (*.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 2)) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 x y))) 2)) (cbrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2)))) (cbrt.f64 (*.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 0) (*.f64 (*.f64 x y) 0))) 2) (-.f64 (*.f64 x (-.f64 x y)) (*.f64 (*.f64 x y) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (neg.f64 y)) 3)) 2) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x y) 2) (neg.f64 (*.f64 y (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x y)) 3) (pow.f64 (*.f64 (*.f64 x y) 0) 3)) 2) (+.f64 (pow.f64 (*.f64 x (-.f64 x y)) 2) (*.f64 (*.f64 (*.f64 x y) 0) (-.f64 (*.f64 (*.f64 x y) 0) (*.f64 x (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2)) 2) (*.f64 (neg.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))) 2) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))) 1) (*.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))) 1) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))) (*.f64 2 (sqrt.f64 (*.f64 x (-.f64 x y))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))) (*.f64 2 (sqrt.f64 (*.f64 x (-.f64 x y))))) (sqrt.f64 (*.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))) x) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))) 1) (*.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))) (sqrt.f64 (*.f64 x (+.f64 x y)))) (sqrt.f64 (*.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) (cbrt.f64 (*.f64 x (+.f64 x y))))) (cbrt.f64 (*.f64 x (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))) 1) (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y)))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 y (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 x y) (*.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 x y) (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 2 x))))))))

simplify71.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1508×	`associate-/l*`
1186×	`distribute-lft-in`
1074×	`*-commutative`
1064×	`distribute-rgt-in`
822×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	253	4098
1	772	3828
2	2966	3828

Stop Event

1×	node limit

Counts

100 → 134

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

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

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 x y) (.f64 2 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (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))

rewrite56.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`add-sqr-sqrt`
1838×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2255	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 2) x) (.f64 (.f64 x 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 2)) (.f64 (neg.f64 y) (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (-.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x 2) (-.f64 (.f64 x x) (.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x 2) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (.f64 x 2)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 x 2)) (fma.f64 x x (.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (.f64 (-.f64 x y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 (-.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (-.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 (-.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 (-.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 (-.f64 x y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 (-.f64 x y) 2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 2) x) (*.f64 (*.f64 x 2) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 2)) (*.f64 (neg.f64 y) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 2) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 2) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x 2)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 x 2)) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (-.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 (-.f64 x y) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 (-.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (-.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 (-.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 (-.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 (-.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (-.f64 x y) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 (-.f64 x y) 2))))))))

simplify57.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1686×	`associate-*r/`
1386×	`associate-*l/`
1122×	`associate-r`
984×	`associate-l`
784×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	1137
1	187	857
2	599	857
3	3686	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 (exp.f64 (log1p.f64 (.f64 x (.f64 (-.f64 x y) 2)))) 1)
(/.f64 (.f64 (.f64 x 2) (-.f64 (.f64 x x) (.f64 y y))) (+.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 (-.f64 (.f64 x x) (.f64 y y)) (.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))))
(pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (-.f64 x y) 2))) 2)
(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)
(sqrt.f64 (pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (*.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (-.f64 x y) 2)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (-.f64 x y) 2)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (-.f64 x y) 2))))
(exp.f64 (log.f64 (.f64 x (.f64 (-.f64 x y) 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (-.f64 x y) 2))) 1))
(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 x (.f64 x 2))
(.f64 2 (.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 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 x (.f64 x 2))
(.f64 2 (.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 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 x (.f64 x 2))
(.f64 2 (.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 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 (exp.f64 (log1p.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))
(/.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 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 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (fma.f64 x x (.f64 y (+.f64 y x))) (.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y x) (.f64 x 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 (.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))
(/.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 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (fma.f64 x x (.f64 y (+.f64 y x))) (.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y x) (.f64 x 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))))
(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 (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))
(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))
(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))
(log.f64 (+.f64 1 (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))
(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))
(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))
(exp.f64 (.f64 (log.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))
(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))

eval57.0ms (2.9%)

Compiler: Compiled 3002 to 1390 computations (53.7% saved)

prune27.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	164	2	166
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	164	4	168

Error

Counts

168 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (-.f64 x y) (.f64 2 x))
▶	32.9b	(.f64 x (.f64 x 2))
▶	22.3b	(.f64 x (.f64 -2 y))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize5.0ms (0.2%)

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

localize5.0ms (0.2%)

Compiler: Compiled 12 to 8 computations (33.3% 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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (-.f64 x y) (.f64 2 x))
✓	32.9b	(.f64 x (.f64 x 2))
✓	22.3b	(.f64 x (.f64 -2 y))
✓	0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes38.0ms (1.9%)

Counts

4 → 1

Calls

Call 1

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

26.0ms	(-.f64 (.f64 x x) (.f64 x y))
4.0ms	y
4.0ms	x
4.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))`
0.0b	1	`(-.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 54 to 33 computations (38.9% saved)

regimes21.0ms (1.1%)

Accuracy

Total -44.9b remaining (-491.1%)

Threshold costs -44.9b (-491.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
9.0ms	y

Results

Error	Segments	Branch
11.1b	3	`x`
9.1b	3	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch32.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.5755381565477674e-103	4.382679953273862e-96
8.0ms	-4.420187308462351e-78	-1.760166406872849e-78

Results

29.0ms

224×

body

256

valid

Compiler

Compiled 240 to 179 computations (25.4% saved)

simplify6.0ms (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 -5631997067369587/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (*.f64 x (*.f64 -2 y)) (if (<=.f64 y 5050305969996851/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (*.f64 x (*.f64 x 2)) (*.f64 x (*.f64 -2 y))))

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

Outputs
(.f64 (-.f64 x y) (.f64 2 x))
(.f64 (-.f64 x y) (.f64 x 2))
(if (<=.f64 y -5631997067369587/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (.f64 x (.f64 -2 y)) (if (<=.f64 y 5050305969996851/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (.f64 x (.f64 x 2)) (.f64 x (.f64 -2 y))))
(if (or (<=.f64 y -5631997067369587/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (not (<=.f64 y 5050305969996851/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712))) (.f64 x (.f64 y -2)) (.f64 x (.f64 x 2)))
(.f64 x (.f64 -2 y))
(.f64 x (.f64 y -2))

Compiler

Compiled 37 to 26 computations (29.7% saved)

soundness88.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def`
372×	`associate-r`
184×	`*-commutative`
168×	`distribute-lft-in`
160×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	21	19
2	49	19
3	100	19
4	177	19
5	283	19
6	534	19
7	1043	19
8	1449	19
9	1683	19
10	1733	19

Stop Event

1×

saturated

Compiler

Compiled 32 to 17 computations (46.9% saved)

end56.0ms (2.8%)

Compiler: Compiled 33 to 22 computations (33.3% saved)

Details

analyze117.0ms (5.9%)

sample1.2s (58.2%)

preprocess60.0ms (3%)

simplify47.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize8.0ms (0.4%)

series3.0ms (0.1%)

rewrite67.0ms (3.4%)

simplify71.0ms (3.6%)

localize7.0ms (0.3%)

series2.0ms (0.1%)

rewrite56.0ms (2.8%)

simplify57.0ms (2.8%)

eval57.0ms (2.9%)

prune27.0ms (1.4%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes38.0ms (1.9%)

regimes21.0ms (1.1%)

bsearch32.0ms (1.6%)

simplify6.0ms (0.3%)

soundness88.0ms (4.4%)

end56.0ms (2.8%)

Profiling