Details

sample49.0ms

Algorithm

intervals

Results

22.0ms	89×	body	1280	valid
7.0ms	42×	body	640	valid
7.0ms	169×	body	80	valid
2.0ms	20×	body	320	valid
1.0ms	12×	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	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.2b	(- (exp (* a x)) 1.0)

rewrite5.0ms

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:

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

series51.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
38.0ms	(- (exp (* a x)) 1.0)

simplify44.0ms

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

prune73.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 8.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt (exp (* a x))) (sqrt 1.0))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
3.3b	(- (sqrt (exp (* a x))) (sqrt 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

9.0ms	(+ (sqrt (exp (* a x))) (sqrt 1.0))
1.0ms	(exp (* a x))
1.0ms	(exp (* a x))
8.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

series125.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (sqrt (exp (* a x))) (sqrt 1.0))
12.0ms	(exp (* a x))
12.0ms	(exp (* a x))
54.0ms	(- (sqrt (exp (* a x))) (sqrt 1.0))

simplify177.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	153	380
1	437	348
2	1199	346
3	4678	345
4	5001	345

prune157.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
3.2b	(- (exp (* a x)) 1.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series72.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
12.0ms	(exp (* a x))
12.0ms	(exp (* a x))
37.0ms	(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	115	205
1	333	197
2	1116	195
3	5001	195

prune152.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (* a x))
0.0b	(exp (* a x))
3.2b	(- (exp (* a x)) 1.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series74.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
15.0ms	(exp (* a x))
12.0ms	(exp (* a x))
35.0ms	(- (exp (* a x)) 1.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	115	205
1	333	197
2	1116	195
3	5001	195

prune168.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 8.2b

regimes212.0ms

Accuracy

93.7% (1.3b remaining)

Error of 9.8b against oracle of 8.4b and baseline of 29.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	35
1	45	35

end0.0ms

sample1.5s

Algorithm

intervals

Results

670.0ms	2710×	body	1280	valid
235.0ms	1309×	body	640	valid
234.0ms	5339×	body	80	valid
100.0ms	802×	body	320	valid
37.0ms	419×	body	160	valid