Details

sample33.0ms

Algorithm

intervals

Results

15.0ms	82×	body	1280	valid
3.0ms	168×	body	80	valid
3.0ms	29×	body	640	valid
2.0ms	36×	body	320	valid
1.0ms	14×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.4b	(- (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)

series46.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
34.0ms	(- (exp (* a x)) 1.0)

simplify39.0ms

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

prune75.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 11.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(exp (- (exp (* a x)) 1.0))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(log (exp (- (exp (* a x)) 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

1.0ms	(exp (* a x))
10.0ms	(exp (- (exp (* a x)) 1.0))
4.0ms	(- (exp (* a x)) 1.0)
10.0ms	(log (exp (- (exp (* a x)) 1.0)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(exp (* a x))
35.0ms	(exp (- (exp (* a x)) 1.0))
37.0ms	(- (exp (* a x)) 1.0)
34.0ms	(log (exp (- (exp (* a x)) 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	161	351
1	462	322
2	1438	319
3	5001	319

prune149.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 11.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* a x))
0.0b	(pow (- (exp (* a x)) 1.0) 3)
0.1b	(cbrt (pow (- (exp (* a x)) 1.0) 3))
4.4b	(- (exp (* a x)) 1.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
8×	`add-log-exp`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `exp-prod` `exp-to-pow` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 80

Calls

4 calls:

1.0ms	(exp (* a x))
9.0ms	(pow (- (exp (* a x)) 1.0) 3)
6.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
4.0ms	(- (exp (* a x)) 1.0)

series134.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp (* a x))
54.0ms	(pow (- (exp (* a x)) 1.0) 3)
34.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
34.0ms	(- (exp (* a x)) 1.0)

simplify39.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	269	550
1	1076	527
2	5001	516

prune165.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 11.1b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
9×	`flip3--` `flip--`
8×	`cbrt-div`
4×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `add-cbrt-cube`
3×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `associate-l/`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 59

Calls

4 calls:

9.0ms	(cbrt (* (- (exp (* a x)) 1.0) (- (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)

series227.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (* (- (exp (* a x)) 1.0) (- (exp (* a x)) 1.0)))
39.0ms	(- (exp (* a x)) 1.0)
34.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)

simplify92.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	218	626
1	716	578
2	3267	559
3	5002	559

prune186.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 11.1b

regimes282.0ms

Accuracy

95.8% (0.9b remaining)

Error of 8.7b against oracle of 7.9b and baseline of 28.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	39
1	49	39

end0.0ms

sample881.0ms

Algorithm

intervals

Results

408.0ms	2660×	body	1280	valid
126.0ms	1297×	body	640	valid
105.0ms	5509×	body	80	valid
47.0ms	751×	body	320	valid
16.0ms	378×	body	160	valid