Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	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

localize10.0ms

Local error

Found 3 expressions with local error:

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

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)
12.0ms	(+ (+ (+ (+ e d) c) b) a)
9.0ms	(+ (+ (+ e d) c) b)

series95.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (+ e d) c)
51.0ms	(+ (+ (+ (+ e d) c) b) a)
29.0ms	(+ (+ (+ e d) c) b)

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

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	7	82

Merged error: 0b

Counts

82 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-log-exp`
22×	`distribute-lft-out`
18×	`sum-log`
9×	`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 → 56

Calls

2 calls:

6.0ms	(+ (+ e d) c)
11.0ms	(+ (+ (+ e d) c) (+ b a))

series66.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ e d) c)
51.0ms	(+ (+ (+ e d) c) (+ b a))

simplify39.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	320	322
1	1566	306
2	5002	306

prune105.0ms

Filtered

62 candidates to 41 candidates (66.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Merged error: 0b

Counts

69 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ d (+ e c))
0.2b	(+ (+ (* 1 (+ d (+ e c))) b) a)
0.2b	(+ (* 1 (+ d (+ e c))) b)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-log-exp`
8×	`fma-def` `distribute-lft-out`
7×	`sum-log`
5×	`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`
1×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`

Counts

3 → 58

Calls

3 calls:

5.0ms	(+ d (+ e c))
10.0ms	(+ (+ (* 1 (+ d (+ e c))) b) a)
8.0ms	(+ (* 1 (+ d (+ e c))) b)

series93.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ d (+ e c))
49.0ms	(+ (+ (* 1 (+ d (+ e c))) b) a)
30.0ms	(+ (* 1 (+ d (+ e c))) b)

simplify36.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	283	295
1	1454	270
2	5001	270

prune127.0ms

Filtered

67 candidates to 54 candidates (80.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Merged error: 0b

Counts

74 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

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

series79.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (+ (+ e d) (+ c b)) a)
28.0ms	(+ (+ e d) (+ c b))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

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

prune95.0ms

Filtered

66 candidates to 41 candidates (62.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	66	7	73

Merged error: 0b

Counts

73 → 7

regimes258.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample617.0ms

Algorithm

intervals

Results

201.0ms	8000×	pre	80	true
177.0ms	8000×	body	80	valid