Details

sample37.0ms

Algorithm

intervals

Results

17.0ms	90×	body	1280	valid
4.0ms	35×	body	640	valid
4.0ms	160×	body	80	valid
2.0ms	28×	body	320	valid
1.0ms	18×	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: 31.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.4b	(- (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)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify41.0ms

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

prune44.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	11	6	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	6	18

Merged error: 10.5b

Counts

18 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)

rewrite18.0ms

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:

3.0ms	(cbrt (- (exp (* a x)) 1.0))
4.0ms	(- (exp (* a x)) 1.0)
6.0ms	(- (exp (* a x)) 1.0)
4.0ms	(- (exp (* a x)) 1.0)

series198.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (- (exp (* a x)) 1.0))
36.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (60.0ms)

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

prune157.0ms

Filtered

69 candidates to 50 candidates (72.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	68	7	75

Merged error: 10.5b

Counts

75 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (exp (* a x)) 1.0))
4.4b	(- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-sqr-sqrt`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`
2×	`cbrt-div` `distribute-lft-out--`
1×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`

Counts

4 → 55

Calls

4 calls:

3.0ms	(cbrt (+ (exp (* a x)) 1.0))
5.0ms	(- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0))
4.0ms	(- (exp (* a x)) 1.0)
4.0ms	(- (exp (* a x)) 1.0)

series228.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (+ (exp (* a x)) 1.0))
44.0ms	(- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0))
37.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)

simplify109.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	247	490
1	842	434
2	3374	426
3	5002	426

prune210.0ms

Filtered

67 candidates to 50 candidates (74.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	66	8	74

Merged error: 10.5b

Counts

74 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

4.4b	(- (pow (exp (* a x)) 2) (* 1.0 1.0))
4.4b	(log (exp (- (pow (exp (* a x)) 2) (* 1.0 1.0))))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-log-exp` `difference-of-squares`
8×	`log-pow`
7×	`exp-prod`
6×	`add-cube-cbrt`
5×	`pow1` `log-prod`
4×	`add-exp-log` `sub-neg` `add-cbrt-cube`
3×	`flip3--` `diff-log` `flip--`
2×	`unpow-prod-down` `exp-sum` `distribute-lft-out--` `unpow2` `sqr-pow`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 66

Calls

4 calls:

5.0ms	(- (pow (exp (* a x)) 2) (* 1.0 1.0))
5.0ms	(log (exp (- (pow (exp (* a x)) 2) (* 1.0 1.0))))
4.0ms	(- (exp (* a x)) 1.0)
4.0ms	(- (exp (* a x)) 1.0)

series159.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (pow (exp (* a x)) 2) (* 1.0 1.0))
47.0ms	(log (exp (- (pow (exp (* a x)) 2) (* 1.0 1.0))))
33.0ms	(- (exp (* a x)) 1.0)
36.0ms	(- (exp (* a x)) 1.0)

simplify102.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	252	526
1	759	476
2	3156	472
3	5002	470

prune245.0ms

Filtered

78 candidates to 57 candidates (73.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	76	10	86

Merged error: 10.5b

Counts

86 → 10

regimes312.0ms

Accuracy

94.4% (1.2b remaining)

Error of 9.5b against oracle of 8.4b and baseline of 29.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	42
1	54	42

end0.0ms

sample1.1s

Algorithm

intervals

Results

492.0ms	2737×	body	1280	valid
157.0ms	1286×	body	640	valid
134.0ms	5449×	body	80	valid
59.0ms	756×	body	320	valid
20.0ms	374×	body	160	valid

Details

sample37.0ms

simplify60.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series33.0ms

simplify41.0ms

prune44.0ms

localize8.0ms

rewrite18.0ms

series198.0ms

simplify66.0ms

prune157.0ms

localize18.0ms

rewrite17.0ms

series228.0ms

simplify109.0ms

prune210.0ms

localize19.0ms

rewrite20.0ms

series159.0ms

simplify102.0ms

prune245.0ms

regimes312.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.1s

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