Details

sample39.0ms

Algorithm

intervals

Results

17.0ms	88×	body	1280	valid
5.0ms	38×	body	640	valid
4.0ms	176×	body	80	valid
2.0ms	24×	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: 29.9b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.5b	(- (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)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify39.0ms

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

prune40.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 6.8b

Counts

18 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (- (exp (* a x)) 1.0))
3.5b	(- (exp (* a x)) 1.0)
3.5b	(- (exp (* a x)) 1.0)
3.5b	(- (exp (* a x)) 1.0)

rewrite19.0ms

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))
7.0ms	(- (exp (* a x)) 1.0)
4.0ms	(- (exp (* a x)) 1.0)
4.0ms	(- (exp (* a x)) 1.0)

series204.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (- (exp (* a x)) 1.0))
38.0ms	(- (exp (* a x)) 1.0)
35.0ms	(- (exp (* a x)) 1.0)
35.0ms	(- (exp (* a x)) 1.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (58.0ms)

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

prune161.0ms

Filtered

69 candidates to 50 candidates (72.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 6.8b

Counts

73 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

3.5b	(- (exp (* a x)) 1.0)
3.5b	(- (exp (* a x)) 1.0)
3.5b	(- (exp (* a x)) 1.0)
3.5b	(- (exp (* a x)) 1.0)

rewrite20.0ms

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)

series143.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
36.0ms	(- (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

prune191.0ms

Filtered

68 candidates to 48 candidates (70.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 6.8b

Counts

72 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

3.5b	(- (exp (* a x)) 1.0)
3.5b	(- (exp (* a x)) 1.0)
3.5b	(- (exp (* a x)) 1.0)
3.5b	(log (exp (- (exp (* a x)) 1.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

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

series150.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (exp (* a x)) 1.0)
35.0ms	(- (exp (* a x)) 1.0)
35.0ms	(- (exp (* a x)) 1.0)
40.0ms	(log (exp (- (exp (* a x)) 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	142	420
1	387	383
2	1201	376
3	5001	376

prune240.0ms

Filtered

74 candidates to 52 candidates (70.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	74	4	78

Merged error: 6.8b

Counts

78 → 4

regimes212.0ms

Accuracy

93.4% (1.4b remaining)

Error of 10.3b against oracle of 8.8b and baseline of 30.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	49
1	48	49

end0.0ms

sample1.1s

Algorithm

intervals

Results

489.0ms	2646×	body	1280	valid
168.0ms	1382×	body	640	valid
143.0ms	5456×	body	80	valid
62.0ms	759×	body	320	valid
25.0ms	433×	body	160	valid

Details

sample39.0ms

simplify60.0ms

prune2.0ms

localize5.0ms

rewrite4.0ms

series40.0ms

simplify39.0ms

prune40.0ms

localize8.0ms

rewrite19.0ms

series204.0ms

simplify65.0ms

prune161.0ms

localize12.0ms

rewrite20.0ms

series143.0ms

simplify45.0ms

prune191.0ms

localize17.0ms

rewrite19.0ms

series150.0ms

simplify46.0ms

prune240.0ms

regimes212.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.1s

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