Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

440×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	18	5
1	46	4
2	77	4
3	87	3
4	87	3

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 0.0b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (fma y 2.0 x) x (* y y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (fma y 2.0 x) x (* y y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma (fma y 2.0 x) x (* y y))

simplify102.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	42	68
1	104	52
2	466	52
3	2418	52
4	5001	52

prune31.0ms

Filtered

13 candidates to 10 candidates (23.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma y 2.0 x) x (* y y))
0.0b	(fma (fma y 2.0 x) x (* y y))
6.1b	(sqrt (fma (fma y 2.0 x) x (* y y)))
6.1b	(sqrt (fma (fma y 2.0 x) x (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 50

Calls

4 calls:

1.0ms	(fma (fma y 2.0 x) x (* y y))
1.0ms	(fma (fma y 2.0 x) x (* y y))
1.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))
2.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma (fma y 2.0 x) x (* y y))
30.0ms	(fma (fma y 2.0 x) x (* y y))
72.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))
72.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))

simplify137.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	75	306
1	169	266
2	699	266
3	3514	264
4	5001	264

prune145.0ms

Filtered

62 candidates to 50 candidates (19.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	61	4	65

Merged error: 0.0b

Counts

65 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b	(+ (* x x) (* (* x 2.0) y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
64×	`associate-l`
48×	`distribute-lft-out`
29×	`fma-def`
14×	`add-sqr-sqrt`
12×	`add-cube-cbrt`
9×	`add-log-exp`
7×	`associate-r`
4×	`sum-log`
3×	`+-commutative` `swap-sqr` `*-commutative`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`unswap-sqr`

Counts

2 → 83

Calls

2 calls:

36.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
26.0ms	(+ (* x x) (* (* x 2.0) y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
51.0ms	(+ (* x x) (* (* x 2.0) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	223	357
1	1060	298
2	5001	257

prune120.0ms

Filtered

89 candidates to 52 candidates (41.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	90	3	93

Merged error: 0b

Counts

93 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (sqrt (* x x)) (sqrt (* x x)) (* (* x 2.0) y))
0.0b	(+ (fma (sqrt (* x x)) (sqrt (* x x)) (* (* x 2.0) y)) (* y y))
17.8b	(sqrt (* x x))
17.8b	(sqrt (* x x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
29×	`add-sqr-sqrt`
20×	`pow1`
19×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`sqrt-pow1`
10×	`rem-sqrt-square`
8×	`swap-sqr`
7×	`associate-l`
6×	`associate-r` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `*-commutative` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def`
2×	`pow2` `pow-plus` `pow1/2` `pow-prod-down` `pow-sqr` `pow-prod-up` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+`

Counts

4 → 101

Calls

4 calls:

1.0ms	(fma (sqrt (* x x)) (sqrt (* x x)) (* (* x 2.0) y))
7.0ms	(+ (fma (sqrt (* x x)) (sqrt (* x x)) (* (* x 2.0) y)) (* y y))
5.0ms	(sqrt (* x x))
5.0ms	(sqrt (* x x))

series105.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma (sqrt (* x x)) (sqrt (* x x)) (* (* x 2.0) y))
37.0ms	(+ (fma (sqrt (* x x)) (sqrt (* x x)) (* (* x 2.0) y)) (* y y))
9.0ms	(sqrt (* x x))
9.0ms	(sqrt (* x x))

simplify129.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	188	499
1	692	415
2	3400	381
3	5001	376

prune198.0ms

Filtered

113 candidates to 77 candidates (31.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Merged error: 0b

Counts

116 → 3

regimes32.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms

sample583.0ms

Algorithm

intervals

Results

375.0ms

14183×

body

valid