Details

sample31.0ms

Algorithm

intervals

Results

13.0ms	82×	body	1280	valid
4.0ms	38×	body	640	valid
3.0ms	183×	body	80	valid
2.0ms	31×	body	320	valid
1.0ms	15×	body	160	valid

simplify59.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.5b	(- (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)

series48.0ms

Counts

2 → 6

Calls

2 calls:

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

prune66.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- (exp (* a x)) 1.0)) (cbrt (- (exp (* a x)) 1.0)))
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
28×	`cbrt-prod`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1`
10×	`swap-sqr` `add-log-exp`
9×	`flip3--` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log` `pow1/3`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`sub-neg` `diff-log`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

28.0ms	(* (cbrt (- (exp (* a x)) 1.0)) (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)

series214.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (cbrt (- (exp (* a x)) 1.0)) (cbrt (- (exp (* a x)) 1.0)))
33.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)

simplify126.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	246	1026
1	845	972
2	4098	874
3	5001	856

prune263.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.4b

localize15.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (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:

33.0ms	(- (exp (* a x)) 1.0)
39.0ms	(- (exp (* a x)) 1.0)
33.0ms	(- (exp (* a x)) 1.0)
38.0ms	(- (exp (* a x)) 1.0)

simplify41.0ms

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

prune245.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.4b

localize25.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.5b	(- (exp (* a x)) 1.0)
4.6b	(log (exp (- (exp (* a x)) 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

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

series134.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (exp (* a x)) 1.0)
32.0ms	(- (exp (* a x)) 1.0)
37.0ms	(- (exp (* a x)) 1.0)
33.0ms	(log (exp (- (exp (* a x)) 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	142	420
1	387	383
2	1201	376
3	5001	376

prune266.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 9.4b

regimes278.0ms

Accuracy

93.2% (1.4b remaining)

Error of 9.3b against oracle of 7.8b and baseline of 28.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	51
1	44	51

end0.0ms

sample881.0ms

Algorithm

intervals

Results

398.0ms	2637×	body	1280	valid
124.0ms	1306×	body	640	valid
109.0ms	5563×	body	80	valid
47.0ms	750×	body	320	valid
16.0ms	389×	body	160	valid