Details

sample36.0ms

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

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	27	3
3	50	3
4	115	3
5	329	3
6	1642	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)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

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)

simplify81.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	162	253
1	526	172
2	2608	161
3	5002	125

prune56.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	5	32

Merged error: 9.6b

Counts

32 → 5

localize8.0ms

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)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`fma-neg`
5×	`cbrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 101

Calls

4 calls:

4.0ms	(cbrt (- (exp (* a x)) 1.0))
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series196.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (- (exp (* a x)) 1.0))
33.0ms	(- (exp (* a x)) 1.0)
36.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)

simplify110.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	227	927
1	730	660
2	3541	616
3	5001	569

prune227.0ms

Filtered

113 candidates to 73 candidates (64.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	112	6	118

Merged error: 9.6b

Counts

118 → 6

localize12.0ms

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)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series140.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)

simplify88.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	162	1012
1	526	688
2	2608	644
3	5002	500

prune275.0ms

Filtered

124 candidates to 72 candidates (58.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	124	6	130

Merged error: 9.6b

Counts

130 → 6

localize16.0ms

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)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
12×	`fma-neg` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

5.0ms	(- (exp (* a x)) 1.0)
7.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)
5.0ms	(- (exp (* a x)) 1.0)

series139.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (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)

simplify90.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	162	1012
1	526	688
2	2608	644
3	5002	500

prune301.0ms

Filtered

124 candidates to 72 candidates (58.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	124	6	130

Merged error: 9.6b

Counts

130 → 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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	37
1	32	37

end0.0ms

sample1.1s

Algorithm

intervals

Results

482.0ms	2664×	body	1280	valid
159.0ms	1331×	body	640	valid
135.0ms	5435×	body	80	valid
63.0ms	774×	body	320	valid
24.0ms	431×	body	160	valid