Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	77×	body	1280	valid
6.0ms	48×	body	640	valid
5.0ms	194×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	10×	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: 27.4b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.0b	(- (exp (* a x)) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

4.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	103	100
1	300	92
2	1055	90
3	5001	90

prune41.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	12	5	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	5	18

Merged error: 9.6b

Counts

18 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (exp (* a x)) 1.0))
3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (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)

series200.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (- (exp (* a x)) 1.0))
37.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
35.0ms	(- (exp (* a x)) 1.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (59.0ms)

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

prune159.0ms

Filtered

69 candidates to 50 candidates (72.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Merged error: 9.6b

Counts

74 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)

rewrite16.0ms

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)

series139.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (11.0ms)

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

prune193.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Merged error: 9.6b

Counts

74 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)
3.0b	(- (exp (* a x)) 1.0)

rewrite16.0ms

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)

series142.0ms

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)
35.0ms	(- (exp (* a x)) 1.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (11.0ms)

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

prune202.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	68	6	74

Merged error: 9.6b

Counts

74 → 6

regimes257.0ms

Accuracy

94.6% (1.1b remaining)

Error of 9.6b against oracle of 8.5b and baseline of 29.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	38
1	39	38

end0.0ms

sample1.1s

Algorithm

intervals

Results

481.0ms	2664×	body	1280	valid
157.0ms	1331×	body	640	valid
144.0ms	5435×	body	80	valid
62.0ms	774×	body	320	valid
24.0ms	431×	body	160	valid