Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

6.0ms	(+ (+ e d) c)
14.0ms	(+ (+ (+ (+ e d) c) b) a)
9.0ms	(+ (+ (+ e d) c) b)

series104.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (+ e d) c)
56.0ms	(+ (+ (+ (+ e d) c) b) a)
31.0ms	(+ (+ (+ e d) c) b)

simplify38.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	270	316
1	1116	304
2	5001	304

prune121.0ms

Filtered

90 candidates to 62 candidates (68.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

11.0ms	(+ e (+ (+ (+ d c) b) a))
6.0ms	(+ (+ d c) b)
9.0ms	(+ (+ (+ d c) b) a)

series102.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ e (+ (+ (+ d c) b) a))
15.0ms	(+ (+ d c) b)
35.0ms	(+ (+ (+ d c) b) a)

simplify36.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	274	307
1	1110	295
2	5001	295

prune122.0ms

Filtered

87 candidates to 63 candidates (72.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	87	5	92

Merged error: 0b

Counts

92 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

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

series105.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ a (+ b c))
58.0ms	(+ e (+ d (+ a (+ b c))))
31.0ms	(+ d (+ a (+ b c)))

simplify38.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	282	310
1	1022	298
2	5001	298

prune118.0ms

Filtered

84 candidates to 61 candidates (72.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ e (+ a (+ b c)))
0.2b	(+ a (+ b c))
0.2b	(+ (+ e (+ a (+ b c))) d)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

8.0ms	(+ e (+ a (+ b c)))
5.0ms	(+ a (+ b c))
12.0ms	(+ (+ e (+ a (+ b c))) d)

series103.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ e (+ a (+ b c)))
16.0ms	(+ a (+ b c))
56.0ms	(+ (+ e (+ a (+ b c))) d)

simplify39.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	276	307
1	956	295
2	5001	295

prune116.0ms

Filtered

87 candidates to 61 candidates (70.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	87	5	92

Merged error: 0b

Counts

92 → 5

regimes197.0ms

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

sample611.0ms

Algorithm

intervals

Results

209.0ms	8000×	pre	80	true
171.0ms	8000×	body	80	valid