Details

analyze131.0ms (11.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
59.3%	35.9%	4.8%	8
67.1%	25.8%	7.1%	9
72.6%	19.1%	8.3%	10
76.9%	13.5%	9.7%	11
79.8%	9.9%	10.3%	12
82%	6.9%	11.1%	13
83.6%	5%	11.4%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample804.0ms (71.5%)

Results

780.0ms	8256×	body	128	valid
11.0ms	111×	body	128	invalid

preprocess34.0ms (3.1%)

Algorithm

2×	egg-herbie

Rules

643×	`fma-def_binary64`
315×	`fma-neg_binary64`
113×	`cancel-sign-sub-inv_binary64`
78×	`distribute-rgt-in_binary64`
59×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	22	20
2	45	16
3	123	16
4	268	16
5	550	16
6	1090	16
7	1776	16
8	1952	16
9	1970	16
10	1970	16
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify17.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

408×	`fma-def_binary64`
244×	`fma-neg_binary64`
73×	`cancel-sign-sub-inv_binary64`
46×	`distribute-rgt-in_binary64`
36×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	27	8
3	66	8
4	135	8
5	264	8
6	492	8
7	925	8
8	1238	8
9	1287	8
10	1296	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 31 to 16 computations (48.4% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

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

rewrite34.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

651×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
61×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	111	8
2	1578	8

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

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

Outputs

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

simplify21.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

190×	`fma-def_binary64`
177×	`fma-neg_binary64`
48×	`distribute-rgt-in_binary64`
44×	`unsub-neg_binary64`
41×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	176
1	54	176
2	132	172
3	322	172
4	640	172
5	911	172
6	975	172
7	979	172

Stop Event

1×

saturated

Counts

62 → 52

Calls

Call 1

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

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

prune32.0ms (2.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	1	53

Error

Counts

53 → 1

Alt Table

Status	Error	Program
▶	0b	(fma.f64 (+.f64 y -1) x y)

Compiler

Compiled 637 to 231 computations (63.7% saved)

localize4.0ms (0.3%)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Error

Counts

1 → 1

Alt Table

Status	Error	Program
✓	0b	(fma.f64 (+.f64 y -1) x y)

Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (1.8%)

Accuracy

Total -62.2b remaining (-∞%)

Threshold costs -62.2b (-∞%)

Counts

10 → 1

Calls

Call 1

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

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

Results

5.0ms	0b	`x`
7.0ms	0b	`y`
6.0ms	0b	`(-.f64 (*.f64 (+.f64 x 1) y) x)`

Compiler

Compiled 63 to 35 computations (44.4% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Calls

Call 1

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

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

end13.0ms (1.2%)

Stop Event

1×

done

Compiler

Compiled 16 to 10 computations (37.5% saved)

Details

analyze131.0ms (11.6%)

sample804.0ms (71.5%)

preprocess34.0ms (3.1%)

simplify17.0ms (1.5%)

prune3.0ms (0.2%)

localize4.0ms (0.4%)

series4.0ms (0.3%)

rewrite34.0ms (3%)

simplify21.0ms (1.9%)

prune32.0ms (2.8%)

localize4.0ms (0.3%)

prune1.0ms (0.1%)

regimes20.0ms (1.8%)

simplify2.0ms (0.2%)

end13.0ms (1.2%)

Profiling