Details

analyze59.0ms (3.3%)

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)

sample1.1s (62.9%)

Results

1.1s	8256×	body	256	valid
16.0ms	233×	body	256	infinite

Bogosity

preprocess62.0ms (3.5%)

Algorithm

2×	egg-herbie

Rules

304×	`fma-def`
192×	`associate-+l+`
154×	`associate--r+`
136×	`associate-+l-`
120×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	17	26
2	27	26
3	48	26
4	73	26
5	116	26
6	275	26
7	671	26
8	1099	26
9	1142	26
10	1146	26
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)
(*.f64 x (+.f64 y -1))
(-.f64 (*.f64 y x) y)
(-.f64 (*.f64 x y) y)
(*.f64 y (+.f64 x -1))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify23.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

188×	`fma-def`
102×	`associate-r`
86×	`associate-+l+`
78×	`associate--r+`
70×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	12	13
2	18	13
3	29	13
4	46	13
5	75	13
6	166	13
7	384	13
8	644	13
9	685	13
10	687	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 12 to 6 computations (50% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x y (neg.f64 x))
▶	0.0b	(-.f64 (*.f64 x y) x)

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize4.0ms (0.2%)

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)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (4.7%)

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

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

simplify84.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1584×	`associate-+r+`
1102×	`associate-+l+`
732×	`associate-*r/`
706×	`fma-def`
440×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	1273
1	284	1193
2	1202	1193
3	4534	1193

Stop Event

1×	node limit

Counts

63 → 53

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

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

localize5.0ms (0.3%)

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

eval8.0ms (0.5%)

Compiler: Compiled 633 to 232 computations (63.3% saved)

prune10.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	51	4	55

Error

Counts

55 → 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)
▶	32.6b	(*.f64 y x)
▶	30.2b	(neg.f64 x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize2.0ms (0.1%)

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

localize3.0ms (0.1%)

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

localize5.0ms (0.3%)

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 (0.1%)

Counts

1 → 12

Calls

6 calls:

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

rewrite56.0ms (3.2%)

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 (-.f64 y 1) x)

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

Outputs

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

simplify53.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1034×	`*-commutative`
874×	`fma-def`
688×	`associate-r`
606×	`associate-l`
604×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	422
1	130	422
2	404	422
3	2396	422
4	4947	422

Stop Event

1×	node limit

Counts

30 → 28

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

eval5.0ms (0.3%)

Compiler: Compiled 235 to 153 computations (34.9% saved)

prune4.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	28	4	32

Error

Counts

32 → 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)
✓	32.6b	(*.f64 y x)
✓	30.2b	(neg.f64 x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

regimes14.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(-.f64 (*.f64 x y) x)`

Compiler

Compiled 35 to 18 computations (48.6% saved)

regimes12.0ms (0.7%)

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)
4.0ms	x
3.0ms	y

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)

regimes30.0ms (1.7%)

Accuracy

Total -59.9b remaining (-4147%)

Threshold costs -59.9b (-4147%)

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:

20.0ms	x
9.0ms	y

Results

Error	Segments	Branch
22.6b	7	`x`
1.4b	3	`y`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch46.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	0.049763104561934286	69875935.53130601
34.0ms	-2.4637070242159336	-5.705645047086582e-7

Results

22.0ms

288×

body

256

valid

Compiler

Compiled 210 to 152 computations (27.6% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	33	68
2	36	68
3	37	68

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 36 to 22 computations (38.9% saved)

soundness57.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

188×	`fma-def`
102×	`associate-r`
86×	`associate-+l+`
78×	`associate--r+`
70×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	12	13
2	18	13
3	29	13
4	46	13
5	75	13
6	166	13
7	384	13
8	644	13
9	685	13
10	687	13

Stop Event

1×

saturated

Compiler

Compiled 12 to 6 computations (50% saved)

end23.0ms (1.3%)

Compiler: Compiled 30 to 14 computations (53.3% saved)

Iter	Nodes	Cost
0	6	13
1	12	13
2	18	13
3	29	13
4	46	13
5	75	13
6	166	13
7	384	13
8	644	13
9	685	13
10	687	13

Iter	Nodes	Cost
0	6	13
1	12	13
2	18	13
3	29	13
4	46	13
5	75	13
6	166	13
7	384	13
8	644	13
9	685	13
10	687	13

Iter	Nodes	Cost
0	6	13
1	12	13
2	18	13
3	29	13
4	46	13
5	75	13
6	166	13
7	384	13
8	644	13
9	685	13
10	687	13

Iter	Nodes	Cost
0	6	13
1	12	13
2	18	13
3	29	13
4	46	13
5	75	13
6	166	13
7	384	13
8	644	13
9	685	13
10	687	13

Details

analyze59.0ms (3.3%)

sample1.1s (62.9%)

preprocess62.0ms (3.5%)

simplify23.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite83.0ms (4.7%)

simplify84.0ms (4.7%)

localize5.0ms (0.3%)

eval8.0ms (0.5%)

prune10.0ms (0.6%)

localize2.0ms (0.1%)

localize3.0ms (0.1%)

localize5.0ms (0.3%)

series2.0ms (0.1%)

rewrite56.0ms (3.2%)

simplify53.0ms (3%)

eval5.0ms (0.3%)

prune4.0ms (0.2%)

regimes14.0ms (0.8%)

regimes12.0ms (0.7%)

regimes30.0ms (1.7%)

bsearch46.0ms (2.6%)

simplify6.0ms (0.3%)

soundness57.0ms (3.2%)

end23.0ms (1.3%)

Profiling

Iter	Nodes	Cost
0	6	13
1	12	13
2	18	13
3	29	13
4	46	13
5	75	13
6	166	13
7	384	13
8	644	13
9	685	13
10	687	13

Iter	Nodes	Cost
0	6	13
1	12	13
2	18	13
3	29	13
4	46	13
5	75	13
6	166	13
7	384	13
8	644	13
9	685	13
10	687	13