Details

sample108.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 24.298835%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

14.0ms	84×	body	1280	valid
4.0ms	34×	body	640	valid
3.0ms	32×	body	320	valid
2.0ms	95×	body	80	valid
1.0ms	11×	body	160	valid
0.0ms	1×	body	80	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

prune3.0ms

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: 28.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.4b	(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

2.0ms	(exp (* a x))
3.0ms	(- (exp (* a x)) 1.0)

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(exp (* a x))
8.0ms	(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune50.0ms

Filtered

20 candidates to 30 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	5	31

Merged error: 7.0b

Counts

31 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(pow (exp (* a x)) 3)
4.3b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`difference-of-squares`
15×	`unpow-prod-down` `cube-prod`
11×	`add-log-exp`
9×	`sqr-pow`
7×	`add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `distribute-lft-out--`
4×	`add-exp-log`
3×	`pow-unpow` `exp-prod` `exp-to-pow` `pow-pow`
2×	`rem-exp-log`
1×	`difference-cubes` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `flip--` `rem-cube-cbrt`

Counts

4 → 79

Calls

4 calls:

2.0ms	(exp (* a x))
2.0ms	(exp (* a x))
3.0ms	(pow (exp (* a x)) 3)
11.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(exp (* a x))
4.0ms	(exp (* a x))
9.0ms	(pow (exp (* a x)) 3)
15.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	256	538
1	977	520
2	5001	497

prune128.0ms

Filtered

50 candidates to 91 candidates (-82.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	90	6	96

Merged error: 7.0b

Counts

96 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* (* a x) 3))
0.2b	(* (* a x) 3)
4.6b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
11×	`add-log-exp`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`difference-of-squares`
3×	`difference-cubes` `exp-prod` `exp-to-pow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`exp-lft-cube` `rem-exp-log`
1×	`sub-neg` `unpow-prod-down` `flip3--` `diff-log` `cube-prod` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

3.0ms	(exp (* a x))
4.0ms	(exp (* (* a x) 3))
8.0ms	(* (* a x) 3)
9.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series28.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp (* a x))
6.0ms	(exp (* (* a x) 3))
5.0ms	(* (* a x) 3)
12.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify64.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	267	373
1	1107	335
2	5002	331

prune110.0ms

Filtered

43 candidates to 71 candidates (-65.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	71	6	77

Merged error: 7.0b

Counts

77 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a x) 3)
4.6b	(- (exp (* (* a x) 3)) (pow 1.0 3))
4.6b	(- (exp (* (* a x) 3)) (pow 1.0 3))
4.6b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
13×	`add-log-exp`
12×	`difference-of-squares`
11×	`*-un-lft-identity`
9×	`pow1` `difference-cubes` `add-exp-log` `add-cbrt-cube`
5×	`add-cube-cbrt`
3×	`sub-neg` `unpow-prod-down` `exp-lft-cube` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `cube-prod` `associate-r` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `distribute-lft-out--` `sqr-pow`
1×	`associate-l` `*-commutative`

Counts

4 → 78

Calls

4 calls:

5.0ms	(* (* a x) 3)
6.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))
6.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))
6.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series28.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* a x) 3)
8.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))
8.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))
8.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	240	725
1	1014	663
2	5001	651

prune255.0ms

Filtered

59 candidates to 90 candidates (-52.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	89	7	96

Merged error: 7.0b

Counts

96 → 7

regimes344.0ms

Accuracy

94.9% (1.1b remaining)

Error of 9.3b against oracle of 8.3b and baseline of 29.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	25
1	43	25

end0.0ms

sample1.0s

Algorithm

intervals

sampling

Space saved by range analysis: 24.298835%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

496.0ms	2714×	body	1280	valid
160.0ms	1329×	body	640	valid
70.0ms	2833×	body	80	valid
57.0ms	731×	body	320	valid
21.0ms	393×	body	160	valid
2.0ms	71×	body	80	invalid

Details

sample108.0ms

simplify61.0ms

prune3.0ms

localize7.0ms

rewrite6.0ms

series12.0ms

simplify40.0ms

prune50.0ms

localize13.0ms

rewrite20.0ms

series31.0ms

simplify44.0ms

prune128.0ms

localize14.0ms

rewrite25.0ms

series28.0ms

simplify64.0ms

prune110.0ms

localize20.0ms

rewrite26.0ms

series28.0ms

simplify43.0ms

prune255.0ms

regimes344.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.0s

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