Details

sample33.0ms

Algorithm

intervals

Results

14.0ms	94×	body	1280	valid
4.0ms	208×	body	80	valid
4.0ms	39×	body	640	valid
1.0ms	21×	body	320	valid
1.0ms	14×	body	160	valid

simplify61.0ms

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: 29.4b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (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)

simplify82.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (78.0ms)

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

prune60.0ms

Filtered

31 candidates to 18 candidates (58.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	25	6	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	6	32

Merged error: 8.3b

Counts

32 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

4.7b	(log (exp (- (exp (* a x)) 1.0)))
4.7b	(- (exp (* a x)) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
14×	`log-prod`
11×	`exp-sum`
6×	`log-pow`
5×	`exp-prod`
4×	`add-log-exp`
3×	`pow1` `fma-neg`
2×	`add-exp-log` `expm1-log1p-u` `sub-neg` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 59

Calls

2 calls:

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

series69.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(log (exp (- (exp (* a x)) 1.0)))
33.0ms	(- (exp (* a x)) 1.0)

simplify90.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	225	523
1	631	357
2	2840	283
3	5001	265

prune87.0ms

Filtered

65 candidates to 34 candidates (52.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	64	7	71

Merged error: 8.3b

Counts

71 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (- (exp (* a x)) 1.0))
0.0b	(expm1 (log1p (- (exp (* a x)) 1.0)))
4.7b	(- (exp (* a x)) 1.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

1.0ms	(log1p (- (exp (* a x)) 1.0))
1.0ms	(expm1 (log1p (- (exp (* a x)) 1.0)))
5.0ms	(- (exp (* a x)) 1.0)

series158.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(log1p (- (exp (* a x)) 1.0))
88.0ms	(expm1 (log1p (- (exp (* a x)) 1.0)))
36.0ms	(- (exp (* a x)) 1.0)

simplify82.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	189	382
1	570	285
2	2727	274
3	5002	238

prune92.0ms

Filtered

59 candidates to 37 candidates (62.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	5	0	5
Picked	1	0	1
Done	1	0	1
Total	65	1	66

Merged error: 0.0b

Counts

66 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(expm1 (* a x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`log1p-expm1-u`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `expm1-log1p` `*-un-lft-identity` `add-cbrt-cube` `expm1-udef` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(expm1 (* a x))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(expm1 (* a x))

simplify34.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	68	49
1	242	44
2	961	44
3	5001	44

prune18.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

regimes35.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

end0.0ms

sample907.0ms

Algorithm

intervals

Results

434.0ms	2709×	body	1280	valid
129.0ms	1358×	body	640	valid
104.0ms	5474×	body	80	valid
44.0ms	714×	body	320	valid
17.0ms	394×	body	160	valid