Details

sample41.0ms

Algorithm

intervals

Results

16.0ms	77×	body	1280	valid
5.0ms	42×	body	640	valid
5.0ms	186×	body	80	valid
3.0ms	28×	body	320	valid
1.0ms	12×	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	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: 27.9b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.0b	(- (exp (* a x)) 1.0)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

2.0ms	(exp (* a x))
4.0ms	(- (exp (* a x)) 1.0)

series49.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(exp (* a x))
34.0ms	(- (exp (* a x)) 1.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune64.0ms

Filtered

30 candidates to 20 candidates (66.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	7	31

Merged error: 9.8b

Counts

31 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
2.9b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
16×	`difference-of-squares`
14×	`*-un-lft-identity`
12×	`unpow-prod-down` `cube-prod` `add-log-exp`
8×	`sqr-pow`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 64

Calls

4 calls:

2.0ms	(exp (* a x))
2.0ms	(exp (* a x))
2.0ms	(exp (* a x))
12.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series92.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
12.0ms	(exp (* a x))
12.0ms	(exp (* a x))
56.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify107.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	207	469
1	647	457
2	3082	456
3	5001	456

prune181.0ms

Filtered

76 candidates to 47 candidates (61.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	72	11	83

Merged error: 9.8b

Counts

83 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
2.9b	(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
15×	`difference-of-squares`
12×	`sqrt-prod` `add-log-exp`
8×	`unpow-prod-down` `sqr-pow`
6×	`*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`exp-prod` `exp-to-pow` `cube-prod` `rem-exp-log`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 58

Calls

4 calls:

4.0ms	(exp (* a x))
2.0ms	(exp (* a x))
2.0ms	(exp (* a x))
11.0ms	(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

series180.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
16.0ms	(exp (* a x))
12.0ms	(exp (* a x))
139.0ms	(- (sqrt (pow (exp (* a x)) 3)) (pow 1.0 3/2))

simplify62.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	179	470
1	502	456
2	1609	455
3	5001	454

prune216.0ms

Filtered

70 candidates to 44 candidates (62.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	3	6	9
Picked	1	0	1
Done	1	0	1
Total	71	10	81

Merged error: 9.7b

Counts

81 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
2.9b	(- (pow (sqrt (pow (exp (* a x)) 3)) 3) (pow (pow 1.0 3/2) 3))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

136×	`add-sqr-sqrt`
120×	`unpow-prod-down`
96×	`cube-prod` `difference-of-squares`
64×	`sqrt-prod`
60×	`sqr-pow`
14×	`*-un-lft-identity`
12×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`difference-cubes` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 144

Calls

4 calls:

2.0ms	(exp (* a x))
2.0ms	(exp (* a x))
2.0ms	(exp (* a x))
40.0ms	(- (pow (sqrt (pow (exp (* a x)) 3)) 3) (pow (pow 1.0 3/2) 3))

series167.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
12.0ms	(exp (* a x))
12.0ms	(exp (* a x))
131.0ms	(- (pow (sqrt (pow (exp (* a x)) 3)) 3) (pow (pow 1.0 3/2) 3))

simplify254.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	324	2254
1	953	2237
2	4861	2236
3	5001	2236

prune356.0ms

Filtered

156 candidates to 63 candidates (40.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	152	4	156
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	155	11	166

Merged error: 9.7b

Counts

166 → 11

regimes415.0ms

Accuracy

94.2% (1.2b remaining)

Error of 9.4b against oracle of 8.2b and baseline of 29.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	27
1	43	27

end0.0ms

sample946.0ms

Algorithm

intervals

Results

434.0ms	2750×	body	1280	valid
136.0ms	1300×	body	640	valid
115.0ms	5394×	body	80	valid
55.0ms	771×	body	320	valid
18.0ms	390×	body	160	valid