Details

sample30.0ms

Algorithm

intervals

Results

12.0ms	82×	body	1280	valid
4.0ms	37×	body	640	valid
3.0ms	184×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	15×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 27.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.6b	(- (exp (* a x)) 1.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

2.0ms	(exp (* a x))
5.0ms	(- (exp (* a x)) 1.0)

series52.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(exp (* a x))
34.0ms	(- (exp (* a x)) 1.0)

simplify84.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	173	292
1	562	211
2	2710	200
3	5002	164

prune94.0ms

Filtered

46 candidates to 28 candidates (60.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	6	47

Merged error: 8.3b

Counts

47 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (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)

series199.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (- (exp (* a x)) 1.0))
33.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)

simplify109.0ms

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

prune273.0ms

Filtered

113 candidates to 73 candidates (64.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	113	6	119

Merged error: 8.3b

Counts

119 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (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)

series143.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (exp (* a x)) 1.0)
39.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)

simplify87.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (77.0ms)

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

prune331.0ms

Filtered

124 candidates to 72 candidates (58.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	123	7	130

Merged error: 8.3b

Counts

130 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)
4.6b	(- (exp (* a x)) 1.0)

rewrite23.0ms

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)

series145.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
39.0ms	(- (exp (* a x)) 1.0)

simplify89.0ms

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

prune359.0ms

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	1	5	6
Picked	1	0	1
Done	0	0	0
Total	125	6	131

Merged error: 8.3b

Counts

131 → 6

regimes261.0ms

Accuracy

94.3% (1.2b remaining)

Error of 9.3b against oracle of 8.2b and baseline of 29.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample881.0ms

Algorithm

intervals

Results

407.0ms	2664×	body	1280	valid
126.0ms	1278×	body	640	valid
100.0ms	5498×	body	80	valid
52.0ms	791×	body	320	valid
17.0ms	394×	body	160	valid