Details

analyze57.0ms (1.8%)

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
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	6
51.6%	50%	46.8%	0.1%	3.1%	0%	0%	7
62.3%	59.3%	35.9%	0.1%	4.7%	0%	0%	8
72.3%	67.1%	25.8%	0.1%	7%	0%	0%	9
79.1%	72.6%	19.1%	0.1%	8.2%	0%	0%	10
85.1%	76.9%	13.5%	0.1%	9.6%	0%	0%	11
89%	79.8%	9.9%	0.1%	10.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample893.0ms (27.5%)

Results

591.0ms	6730×	body	256	valid
143.0ms	684×	body	1024	valid
128.0ms	838×	body	512	valid
18.0ms	209×	body	256	infinite
1.0ms	4×	body	2048	valid

Bogosity

preprocess52.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

1732×	`fma-def`
1218×	`+-commutative`
1176×	`associate--r+`
870×	`sub-neg`
790×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	22	42
2	46	42
3	142	42
4	553	30
5	2239	30
6	5499	30
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))

Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 x y (-.f64 1 y))
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 x y 1) y)
(+.f64 y (*.f64 (-.f64 1 y) (-.f64 1 x)))
(+.f64 y (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) y)
(fma.f64 x y (-.f64 1 x))
(-.f64 (fma.f64 x y 1) x)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify158.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-def`
1088×	`+-commutative`
880×	`*-commutative`
758×	`unsub-neg`
734×	`distribute-lft-out--`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	18	21
2	40	21
3	116	21
4	437	15
5	1729	15
6	4215	15
7	5766	15
8	6652	15
9	6932	15
10	7120	15
11	7212	15
12	7370	15
13	7795	15

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Outputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(fma.f64 (-.f64 1 x) (-.f64 1 y) x)
(fma.f64 y (+.f64 x -1) 1)
(-.f64 (fma.f64 x y 1) y)

eval1.0ms (0%)

Compiler: Compiled 31 to 20 computations (35.5% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

Counts

5 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 y (+.f64 x -1) 1)
▶	0.0b	(-.f64 (fma.f64 x y 1) y)
▶	17.3b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Compiler

Compiled 27 to 19 computations (29.6% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1 x) (-.f64 1 y))
✓	2.0b	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

Compiler

Compiled 27 to 18 computations (33.3% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0ms	y	@	-inf	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0ms	x	@	0	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0ms	y	@	inf	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
0.0ms	y	@	0	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))

rewrite82.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`associate-*l/`
986×	`*-commutative`
888×	`distribute-lft-in`
862×	`distribute-rgt-in`
316×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	200	40
2	2828	40

Stop Event

1×	node limit

Counts

2 → 158

Calls

Call 1

Inputs
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(*.f64 (-.f64 1 x) (-.f64 1 y))

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

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

simplify124.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-+l+`
990×	`associate-+r+`
980×	`+-commutative`
954×	`associate-/l*`
522×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	10150
1	1424	9134
2	6648	8834

Stop Event

1×	node limit

Counts

206 → 266

Calls

Call 1

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

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

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 x y 1) y)

Compiler

Compiled 15 to 8 computations (46.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(-.f64 (fma.f64 x y 1) y)
0.0ms	y	@	-inf	(-.f64 (fma.f64 x y 1) y)
0.0ms	x	@	0	(-.f64 (fma.f64 x y 1) y)
0.0ms	y	@	0	(-.f64 (fma.f64 x y 1) y)
0.0ms	y	@	inf	(-.f64 (fma.f64 x y 1) y)

rewrite59.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`add-sqr-sqrt`
1714×	`*-un-lft-identity`
1594×	`add-cube-cbrt`
1576×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	163	15
2	2067	15

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(-.f64 (fma.f64 x y 1) y)

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

Outputs

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

simplify70.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1148×	`associate-+l-`
1068×	`associate-+r-`
826×	`fma-def`
824×	`associate--l+`
764×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	117	1449
1	310	1369
2	1301	1369
3	5460	1369

Stop Event

1×	node limit

Counts

63 → 55

Calls

Call 1

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

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y (+.f64 x -1) 1)

Compiler

Compiled 15 to 10 computations (33.3% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(fma.f64 y (+.f64 x -1) 1)
0.0ms	y	@	0	(fma.f64 y (+.f64 x -1) 1)
0.0ms	x	@	0	(fma.f64 y (+.f64 x -1) 1)
0.0ms	x	@	-inf	(fma.f64 y (+.f64 x -1) 1)
0.0ms	x	@	inf	(fma.f64 y (+.f64 x -1) 1)

rewrite83.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`add-sqr-sqrt`
1732×	`*-un-lft-identity`
1604×	`add-cube-cbrt`
1588×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	180	15
2	2086	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x -1) 1)

Outputs

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

simplify112.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1226×	`associate-r`
1070×	`associate-l`
666×	`distribute-lft-in`
610×	`associate-/l*`
592×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	733
1	151	729
2	687	717
3	4732	717

Stop Event

1×	node limit

Counts

47 → 39

Calls

Call 1

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

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

eval170.0ms (5.2%)

Compiler: Compiled 7884 to 5220 computations (33.8% saved)

prune82.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	354	6	360
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	357	6	363

Error

Counts

363 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.4b	(-.f64 (*.f64 y x) y)
▶	20.5b	(-.f64 1 y)
▶	0.0b	(+.f64 (*.f64 y (+.f64 x -1)) 1)
▶	26.4b	(*.f64 y (-.f64 x 1))
▶	42.7b	(*.f64 y x)
	37.1b	1

Compiler

Compiled 69 to 49 computations (29% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (+.f64 x -1))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(*.f64 y (+.f64 x -1))
0.0ms	x	@	-inf	(*.f64 y (+.f64 x -1))
0.0ms	y	@	0	(*.f64 y (+.f64 x -1))
0.0ms	y	@	-inf	(*.f64 y (+.f64 x -1))
0.0ms	x	@	0	(*.f64 y (+.f64 x -1))

rewrite53.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`add-sqr-sqrt`
1594×	`*-un-lft-identity`
1486×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
154×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	153	13
2	1945	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 y (+.f64 x -1))

Outputs

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

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1042×	`*-commutative`
834×	`associate-+r+`
628×	`associate-+l+`
498×	`distribute-lft-neg-out`
456×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	764
1	223	742
2	823	730
3	3531	728

Stop Event

1×	node limit

Counts

48 → 40

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 x 1))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 y (-.f64 x 1))
0.0ms	x	@	inf	(*.f64 y (-.f64 x 1))
0.0ms	x	@	-inf	(*.f64 y (-.f64 x 1))
0.0ms	y	@	inf	(*.f64 y (-.f64 x 1))
0.0ms	x	@	0	(*.f64 y (-.f64 x 1))

rewrite53.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`add-sqr-sqrt`
1396×	`*-un-lft-identity`
1302×	`add-cube-cbrt`
1286×	`add-cbrt-cube`
1274×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	144	13
2	1785	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 y (-.f64 x 1))

Outputs

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

simplify58.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1034×	`*-commutative`
874×	`fma-def`
686×	`associate-r`
604×	`associate-l`
596×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	422
1	133	422
2	411	422
3	2454	422
4	5036	422

Stop Event

1×	node limit

Counts

30 → 28

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1372×	`add-cube-cbrt`
1358×	`add-cbrt-cube`
1346×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	132	13
2	1802	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

946×	`associate-+r+`
804×	`associate-/l/`
720×	`associate-*r/`
708×	`*-commutative`
704×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	1273
1	287	1193
2	1175	1193
3	4391	1193

Stop Event

1×	node limit

Counts

63 → 50

Calls

Call 1

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

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

eval38.0ms (1.2%)

Compiler: Compiled 1326 to 660 computations (50.2% saved)

prune17.0ms (0.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	116	8	124

Error

Counts

124 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.4b	(-.f64 (*.f64 y x) y)
✓	20.5b	(-.f64 1 y)
✓	0.0b	(+.f64 (*.f64 y (+.f64 x -1)) 1)
▶	17.1b	(+.f64 (*.f64 y x) 1)
✓	26.4b	(*.f64 y (-.f64 x 1))
✓	42.7b	(*.f64 y x)
▶	46.2b	(neg.f64 y)
	37.1b	1

Compiler

Compiled 47 to 34 computations (27.7% saved)

localize8.0ms (0.2%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	6	6
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.4b	(-.f64 (*.f64 y x) y)
✓	20.5b	(-.f64 1 y)
✓	0.0b	(+.f64 (*.f64 y (+.f64 x -1)) 1)
✓	17.1b	(+.f64 (*.f64 y x) 1)
✓	26.4b	(*.f64 y (-.f64 x 1))
✓	42.7b	(*.f64 y x)
✓	46.2b	(neg.f64 y)
	37.1b	1

Compiler

Compiled 47 to 34 computations (27.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Error

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	26.4b	(-.f64 (*.f64 y x) y)
✓	20.5b	(-.f64 1 y)
✓	0.0b	(+.f64 (*.f64 y (+.f64 x -1)) 1)
✓	17.1b	(+.f64 (*.f64 y x) 1)
✓	26.4b	(*.f64 y (-.f64 x 1))
✓	42.7b	(*.f64 y x)
✓	46.2b	(neg.f64 y)
	37.1b	1

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes23.0ms (0.7%)

Counts

11 → 1

Calls

Call 1

Inputs
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 y x) 1)
(-.f64 (*.f64 y x) y)
(+.f64 (*.f64 y (+.f64 x -1)) 1)
(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
(-.f64 (fma.f64 x y 1) y)
(fma.f64 y (+.f64 x -1) 1)

Outputs
(+.f64 (*.f64 y (+.f64 x -1)) 1)

Calls

4 calls:

7.0ms	x
7.0ms	y
4.0ms	(+.f64 x (*.f64 (-.f64 1 x) (-.f64 1 y)))
4.0ms	(-.f64 1 y)

Results

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

Compiler

Compiled 76 to 47 computations (38.2% saved)

regimes39.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

Inputs
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(*.f64 y (-.f64 x 1))
(+.f64 (*.f64 y x) 1)
(-.f64 (*.f64 y x) y)

Outputs
(+.f64 (*.f64 y x) 1)
(-.f64 1 y)
(+.f64 (*.f64 y x) 1)

Calls

3 calls:

15.0ms	y
15.0ms	x
8.0ms	(-.f64 1 y)

Results

Error	Segments	Branch
0.6b	3	`x`
1.1b	3	`y`
1.1b	3	`(-.f64 1 y)`

Compiler

Compiled 37 to 21 computations (43.2% saved)

bsearch70.0ms (2.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	1.5440964377452162e-17	1.114631888696505e-13
12.0ms	-1870.5096117328321	-65.2972512715847

Results

22.0ms

240×

body

256

valid

Compiler

Compiled 226 to 177 computations (21.7% saved)

regimes32.0ms (1%)

Counts

5 → 3

Calls

Call 1

Inputs
1
(neg.f64 y)
(*.f64 y x)
(-.f64 1 y)
(*.f64 y (-.f64 x 1))

Outputs
(*.f64 y x)
(-.f64 1 y)
(*.f64 y x)

Calls

3 calls:

12.0ms	y
12.0ms	x
7.0ms	(-.f64 1 y)

Results

Error	Segments	Branch
6.5b	3	`x`
11.1b	3	`y`
11.1b	3	`(-.f64 1 y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch61.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	476160176345280.9	7.702426019503879e+19
45.0ms	-3.2097014082685065e+85	-2.9430373939422745e+81

Results

36.0ms	57×	body	512	valid
20.0ms	215×	body	256	valid
1.0ms	12×	body	256	infinite

Compiler

Compiled 220 to 165 computations (25% saved)

regimes52.0ms (1.6%)

Counts

3 → 9

Calls

Call 1

Inputs
1
(neg.f64 y)
(*.f64 y x)

Outputs
(*.f64 y x)
1
(neg.f64 y)
1
(neg.f64 y)
1
(neg.f64 y)
1
(*.f64 y x)

Calls

2 calls:

37.0ms	x
14.0ms	y

Results

Error	Segments	Branch
17.9b	9	`x`
20.0b	4	`y`

Compiler

Compiled 14 to 9 computations (35.7% saved)

bsearch110.0ms (3.4%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
15.0ms	476160176345280.9	7.702426019503879e+19
13.0ms	1.5440964377452162e-17	1.114631888696505e-13
14.0ms	2.8269949856547463e-68	1.7305367882557415e-64
14.0ms	7.797193912541038e-171	1.4797508261200726e-169
13.0ms	-7.886720581486243e-286	-6.511712157173692e-290
12.0ms	-9.989468575854982e-234	-7.047016636107561e-237
9.0ms	-1.797287108829109e-74	-4.51449232842079e-75
19.0ms	-3.2097014082685065e+85	-2.9430373939422745e+81

Results

88.0ms	903×	body	256	valid
10.0ms	73×	body	512	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 582 to 500 computations (14.1% saved)

regimes29.0ms (0.9%)

Accuracy

Total -40.4b remaining (-187.8%)

Threshold costs -40.4b (-187.8%)

Counts

2 → 3

Calls

Call 1

Inputs
1
(neg.f64 y)

Outputs
(neg.f64 y)
1
(neg.f64 y)

Calls

2 calls:

18.0ms	x
9.0ms	y

Results

Error	Segments	Branch
31.9b	7	`x`
21.5b	3	`y`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch27.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	5.1881721412219255e-5	2.5080891212805203e+22
8.0ms	-0.013879357988759474	-0.0067347277576950805

Results

24.0ms	256×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 160 to 140 computations (12.5% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative`
6×	`if-if-or-not`
6×	`*-commutative`
4×	`sub-neg`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	238
1	79	238
2	82	238
3	83	238

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 y (+.f64 x -1)) 1)
(if (<=.f64 x -66) (+.f64 (.f64 y x) 1) (if (<=.f64 x 8715097876569077/79228162514264337593543950336) (-.f64 1 y) (+.f64 (.f64 y x) 1)))
(if (<=.f64 x -2999999999999999974470223024111721621642565114518416193220185473467414953911648256) (.f64 y x) (if (<=.f64 x 1700000000000000000) (-.f64 1 y) (.f64 y x)))
(if (<=.f64 x -5999999999999999948940446048223443243285130229036832386440370946934829907823296512) (.f64 y x) (if (<=.f64 x -5092589940836215/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) 1 (if (<=.f64 x -2416407518121325/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (neg.f64 y) (if (<=.f64 x -1920143424077791/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) 1 (if (<=.f64 x 2229929749041915/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (neg.f64 y) (if (<=.f64 x 4979986173918495/118571099379011784113736688648896417641748464297615937576404566024103044751294464) 1 (if (<=.f64 x 3001796621340447/162259276829213363391578010288128) (neg.f64 y) (if (<=.f64 x 185000000000000000) 1 (.f64 y x)))))))))
(if (<=.f64 y -1988789595446811/144115188075855872) (neg.f64 y) (if (<=.f64 y 1) 1 (neg.f64 y)))
1

Outputs
(+.f64 (*.f64 y (+.f64 x -1)) 1)
(if (<=.f64 x -66) (+.f64 (.f64 y x) 1) (if (<=.f64 x 8715097876569077/79228162514264337593543950336) (-.f64 1 y) (+.f64 (.f64 y x) 1)))
(if (or (<=.f64 x -66) (not (<=.f64 x 8715097876569077/79228162514264337593543950336))) (+.f64 1 (*.f64 y x)) (-.f64 1 y))
(if (<=.f64 x -2999999999999999974470223024111721621642565114518416193220185473467414953911648256) (.f64 y x) (if (<=.f64 x 1700000000000000000) (-.f64 1 y) (.f64 y x)))
(if (<=.f64 x -5999999999999999948940446048223443243285130229036832386440370946934829907823296512) (.f64 y x) (if (<=.f64 x -5092589940836215/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688) 1 (if (<=.f64 x -2416407518121325/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (neg.f64 y) (if (<=.f64 x -1920143424077791/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256) 1 (if (<=.f64 x 2229929749041915/271942652322184754529069161754863937192751676276240344678115398758606622648756348282451201159797394262471336696958208519857448620878186106577674229128492724195241610667721328144244801536) (neg.f64 y) (if (<=.f64 x 4979986173918495/118571099379011784113736688648896417641748464297615937576404566024103044751294464) 1 (if (<=.f64 x 3001796621340447/162259276829213363391578010288128) (neg.f64 y) (if (<=.f64 x 185000000000000000) 1 (.f64 y x)))))))))
(if (<=.f64 y -1988789595446811/144115188075855872) (neg.f64 y) (if (<=.f64 y 1) 1 (neg.f64 y)))
1

Compiler

Compiled 115 to 77 computations (33% saved)

soundness318.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-def`
1088×	`+-commutative`
880×	`*-commutative`
758×	`unsub-neg`
734×	`distribute-lft-out--`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	18	21
2	40	21
3	116	21
4	437	15
5	1729	15
6	4215	15
7	5766	15
8	6652	15
9	6932	15
10	7120	15
11	7212	15
12	7370	15
13	7795	15

Stop Event

1×	node limit

Compiler

Compiled 292 to 197 computations (32.5% saved)

end59.0ms (1.8%)

Compiler: Compiled 105 to 64 computations (39% saved)

Details

analyze57.0ms (1.8%)

sample893.0ms (27.5%)

preprocess52.0ms (1.6%)

simplify158.0ms (4.9%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

series4.0ms (0.1%)

rewrite82.0ms (2.5%)

simplify124.0ms (3.8%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite59.0ms (1.8%)

simplify70.0ms (2.2%)

localize6.0ms (0.2%)

series4.0ms (0.1%)

rewrite83.0ms (2.6%)

simplify112.0ms (3.5%)

eval170.0ms (5.2%)

prune82.0ms (2.5%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite53.0ms (1.6%)

simplify53.0ms (1.6%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize7.0ms (0.2%)

series0.0ms (0%)

rewrite53.0ms (1.6%)

simplify58.0ms (1.8%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite55.0ms (1.7%)

simplify62.0ms (1.9%)

eval38.0ms (1.2%)

prune17.0ms (0.5%)

localize8.0ms (0.2%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes23.0ms (0.7%)

regimes39.0ms (1.2%)

bsearch70.0ms (2.2%)

regimes32.0ms (1%)

bsearch61.0ms (1.9%)

regimes52.0ms (1.6%)

bsearch110.0ms (3.4%)

regimes29.0ms (0.9%)

bsearch27.0ms (0.8%)

simplify11.0ms (0.3%)

soundness318.0ms (9.8%)

end59.0ms (1.8%)

Profiling