Details

analyze52.0ms (3.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
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 8 to 5 computations (37.5% saved)

sample720.0ms (50.5%)

Results

665.0ms	8256×	body	256	valid
16.0ms	210×	body	256	infinite

Bogosity

preprocess192.0ms (13.4%)

Algorithm

2×	egg-herbie

Rules

215×	`fma-def_binary64`
140×	`fma-neg_binary64`
53×	`cancel-sign-sub-inv_binary64`
26×	`distribute-rgt-in_binary64`
26×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	15	14
2	25	14
3	46	14
4	73	14
5	114	14
6	251	14
7	491	14
8	731	14
9	774	14
10	778	14
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify14.0ms (1%)

Algorithm

1×	egg-herbie

Rules

123×	`fma-def_binary64`
78×	`fma-neg_binary64`
29×	`cancel-sign-sub-inv_binary64`
16×	`distribute-rgt-neg-in_binary64`
16×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	15	7
3	26	7
4	44	7
5	72	7
6	155	7
7	298	7
8	442	7
9	476	7
10	478	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize20.0ms (1.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
584×	`add-log-exp_binary64`
584×	`log1p-expm1-u_binary64`
584×	`expm1-log1p-u_binary64`
571×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1573	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify49.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

775×	`fma-neg_binary64`
397×	`fma-def_binary64`
278×	`distribute-rgt-neg-in_binary64`
214×	`log-prod_binary64`
205×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	644
1	276	604
2	1029	604
3	4647	554

Stop Event

1×	node limit

Counts

62 → 51

Calls

Call 1

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

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

eval45.0ms (3.1%)

Compiler: Compiled 579 to 214 computations (63% saved)

prune7.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x y) x)
▶	0.0b	(*.f64 (-.f64 y 1) x)
▶	33.8b	(*.f64 y x)
▶	28.6b	(neg.f64 x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize3.0ms (0.2%)

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

localize3.0ms (0.2%)

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

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.2%)

Counts

1 → 12

Calls

6 calls:

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

rewrite40.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`pow1_binary64`
556×	`add-log-exp_binary64`
555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
545×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	124	7
2	1543	7

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify39.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

535×	`log-prod_binary64`
420×	`fma-def_binary64`
322×	`*-commutative_binary64`
304×	`associate-l_binary64`
263×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	219
1	122	219
2	386	219
3	2378	219
4	5182	219

Stop Event

1×	node limit

Counts

29 → 27

Calls

Call 1

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

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

eval5.0ms (0.3%)

Compiler: Compiled 217 to 138 computations (36.4% saved)

prune4.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	27	4	31

Error

Counts

31 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x y) x)
✓	0.0b	(*.f64 (-.f64 y 1) x)
✓	33.8b	(*.f64 y x)
✓	28.6b	(neg.f64 x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes11.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(-.f64 (*.f64 x y) x)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

regimes40.0ms (2.8%)

Accuracy

Total -59.8b remaining (-4524%)

Threshold costs -59.8b (-4524%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
8.0ms	y

Results

Error	Segments	Branch
21.6b	5	`x`
1.3b	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch45.0ms (3.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	0.9301235725175103	5455017866.4131
15.0ms	-42.55970249987206	-2.438320178264172e-10

Results

41.0ms

320×

body

256

valid

Compiler

Compiled 232 to 168 computations (27.6% saved)

simplify31.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	22	33
2	25	33
3	26	33

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 y 1) x)
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y 1) (neg.f64 x) (.f64 y x)))
(neg.f64 x)

Outputs
(*.f64 (-.f64 y 1) x)
(*.f64 (+.f64 y -1) x)
(if (<=.f64 y -1) (.f64 y x) (if (<=.f64 y 1) (neg.f64 x) (.f64 y x)))
(neg.f64 x)

Compiler

Compiled 29 to 18 computations (37.9% saved)

soundness0.0ms (0%)

end41.0ms (2.9%)

Compiler: Compiled 25 to 13 computations (48% saved)

Iter	Nodes	Cost
0	7	14
1	15	14
2	25	14
3	46	14
4	73	14
5	114	14
6	251	14
7	491	14
8	731	14
9	774	14
10	778	14
0	2	2

Iter	Nodes	Cost
0	7	14
1	15	14
2	25	14
3	46	14
4	73	14
5	114	14
6	251	14
7	491	14
8	731	14
9	774	14
10	778	14
0	2	2

Details

analyze52.0ms (3.6%)

sample720.0ms (50.5%)

preprocess192.0ms (13.4%)

simplify14.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (1.4%)

series3.0ms (0.2%)

rewrite54.0ms (3.8%)

simplify49.0ms (3.4%)

eval45.0ms (3.1%)

prune7.0ms (0.5%)

localize3.0ms (0.2%)

localize3.0ms (0.2%)

localize5.0ms (0.4%)

series2.0ms (0.2%)

rewrite40.0ms (2.8%)

simplify39.0ms (2.7%)

eval5.0ms (0.3%)

prune4.0ms (0.3%)

regimes11.0ms (0.8%)

regimes40.0ms (2.8%)

bsearch45.0ms (3.1%)

simplify31.0ms (2.1%)

soundness0.0ms (0%)

end41.0ms (2.9%)

Profiling

Iter	Nodes	Cost
0	7	14
1	15	14
2	25	14
3	46	14
4	73	14
5	114	14
6	251	14
7	491	14
8	731	14
9	774	14
10	778	14
0	2	2