Details

sample31.0ms

Algorithm

intervals

Results

13.0ms	82×	body	1280	valid
4.0ms	48×	body	640	valid
3.0ms	175×	body	80	valid
2.0ms	26×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.1b	(- (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)

series49.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

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

prune67.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)

rewrite15.0ms

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

series193.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (- (exp (* a x)) 1.0))
33.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
36.0ms	(- (exp (* a x)) 1.0)

simplify64.0ms

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

prune190.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.0b

localize13.0ms

Local error

Found 4 expressions with local error:

4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)

rewrite17.0ms

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)

series139.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	103	400
1	300	368
2	1055	360
3	5001	360

prune221.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)
4.1b	(- (exp (* a x)) 1.0)

rewrite16.0ms

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)

series142.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)
35.0ms	(- (exp (* a x)) 1.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	103	400
1	300	368
2	1055	360
3	5001	360

prune236.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.0b

regimes249.0ms

Accuracy

96.3% (0.8b remaining)

Error of 8.9b against oracle of 8.2b and baseline of 28.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	66
1	49	66

end0.0ms

sample877.0ms

Algorithm

intervals

Results

401.0ms	2638×	body	1280	valid
137.0ms	1335×	body	640	valid
97.0ms	5515×	body	80	valid
48.0ms	743×	body	320	valid
18.0ms	440×	body	160	valid