Details

sample30.0ms

Algorithm

intervals

Results

13.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	58	4
2	178	4
3	351	4
4	401	4
5	401	4

prune2.0ms

Filtered

1 candidates to 0 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: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ e d) c)
0.2b	(+ (+ (+ e d) c) b)
0.2b	(+ (+ (+ (+ e d) c) b) a)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
31×	`add-log-exp`
29×	`distribute-lft-out`
19×	`sum-log`
15×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

3 → 72

Calls

3 calls:

6.0ms	(+ (+ e d) c)
8.0ms	(+ (+ (+ e d) c) b)
12.0ms	(+ (+ (+ (+ e d) c) b) a)

series94.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (+ e d) c)
28.0ms	(+ (+ (+ e d) c) b)
52.0ms	(+ (+ (+ (+ e d) c) b) a)

simplify32.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	249	295
1	1063	283
2	5002	283

prune146.0ms

Filtered

81 candidates to 54 candidates (66.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	73	8	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	8	82

Merged error: 0b

Counts

82 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (+ e d) (+ c b))
0.2b	(+ (+ (+ e d) (+ c b)) a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
32×	`add-log-exp`
30×	`distribute-lft-out`
21×	`sum-log`
11×	`fma-def`
6×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `frac-add`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+l+` `add-cbrt-cube` `log1p-expm1-u`
1×	`associate-+r+`

Counts

2 → 60

Calls

2 calls:

11.0ms	(+ (+ e d) (+ c b))
12.0ms	(+ (+ (+ e d) (+ c b)) a)

series76.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (+ e d) (+ c b))
48.0ms	(+ (+ (+ e d) (+ c b)) a)

simplify43.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	363	326
1	1444	310
2	5001	310

prune108.0ms

Filtered

66 candidates to 41 candidates (62.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Merged error: 0b

Counts

74 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ a (+ b c))
0.3b	(+ (+ e d) (+ a (+ b c)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
28×	`add-log-exp`
19×	`distribute-lft-out`
18×	`sum-log`
7×	`fma-def`
6×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `add-cube-cbrt` `frac-add`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `add-cbrt-cube` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 54

Calls

2 calls:

5.0ms	(+ a (+ b c))
11.0ms	(+ (+ e d) (+ a (+ b c)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ a (+ b c))
48.0ms	(+ (+ e d) (+ a (+ b c)))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	322	318
1	1348	300
2	5001	300

prune100.0ms

Filtered

60 candidates to 39 candidates (65.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	60	6	66

Merged error: 0b

Counts

66 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ d (+ a (+ b c)))
0.2b	(+ a (+ b c))
0.2b	(+ e (+ d (+ a (+ b c))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
31×	`add-log-exp`
19×	`sum-log` `distribute-lft-out`
9×	`fma-def`
6×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

3 → 66

Calls

3 calls:

7.0ms	(+ d (+ a (+ b c)))
5.0ms	(+ a (+ b c))
10.0ms	(+ e (+ d (+ a (+ b c))))

series94.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ d (+ a (+ b c)))
18.0ms	(+ a (+ b c))
48.0ms	(+ e (+ d (+ a (+ b c))))

simplify29.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	263	289
1	979	277
2	5002	277

prune109.0ms

Filtered

75 candidates to 51 candidates (68.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	76	5	81

Merged error: 0b

Counts

81 → 5

regimes247.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample763.0ms

Algorithm

intervals

Results

329.0ms	8000×	pre	80	true
211.0ms	8000×	body	80	valid