Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	84×	body	1280	valid
5.0ms	45×	body	640	valid
3.0ms	178×	body	80	valid
1.0ms	18×	body	320	valid
1.0ms	18×	body	160	valid

simplify60.0ms

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

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: 30.8b

Counts

2 → 1

localize5.0ms

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

series50.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
38.0ms	(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

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

prune67.0ms

Filtered

30 candidates to 20 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 10.1b

Counts

31 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

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

series209.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (- (exp (* a x)) 1.0))
39.0ms	(- (exp (* a x)) 1.0)
35.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)

simplify63.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	167	460
1	491	412
2	1911	395
3	5001	391

prune190.0ms

Filtered

69 candidates to 50 candidates (72.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	1	4	5
Picked	1	0	1
Done	1	0	1
Total	68	8	76

Merged error: 10.0b

Counts

76 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

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

series145.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (exp (* a x)) 1.0)
39.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	103	400
1	300	368
2	1055	360
3	5001	360

prune228.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	67	9	76

Merged error: 10.0b

Counts

76 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`difference-of-squares`
6×	`sqrt-prod`
5×	`cbrt-prod` `add-cube-cbrt` `distribute-lft-out--`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 61

Calls

4 calls:

4.0ms	(cbrt (- (exp (* a x)) 1.0))
4.0ms	(- (exp (* a x)) 1.0)
4.0ms	(- (exp (* a x)) 1.0)
6.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series229.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (- (exp (* a x)) 1.0))
39.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
60.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	231	540
1	731	494
2	2793	478
3	5002	478

prune236.0ms

Filtered

73 candidates to 51 candidates (69.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	73	9	82

Merged error: 10.0b

Counts

82 → 9

regimes332.0ms

Accuracy

94.9% (1.1b remaining)

Error of 9.1b against oracle of 8.0b and baseline of 29.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	37
1	39	37

end0.0ms

sample930.0ms

Algorithm

intervals

Results

440.0ms	2815×	body	1280	valid
136.0ms	1345×	body	640	valid
101.0ms	5303×	body	80	valid
48.0ms	746×	body	320	valid
15.0ms	342×	body	160	valid