Details

sample384.0ms

Algorithm

intervals

Results

293.0ms	291×	body	10240	exit
35.0ms	74×	body	1280	valid
12.0ms	57×	body	640	valid
11.0ms	9×	body	2560	valid
5.0ms	191×	body	80	nan
4.0ms	83×	body	80	valid
3.0ms	22×	body	320	valid
1.0ms	11×	body	160	valid

simplify221.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize6.0ms

Local error

Found 1 expressions with local error:

39.9b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

0.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify97.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	57
1	26	50
2	31	50
3	38	50
4	58	50
5	117	50
6	567	50
7	1852	50
8	5001	50

prune41.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(log (fmod (cosh c) (log1p a)))
0.5b	(exp (log (fmod (cosh c) (log1p a))))
39.9b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `exp-prod`
3×	`expm1-log1p-u` `exp-sum` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 40

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(exp (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series23.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))

simplify83.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	61	260
1	87	232
2	110	226
3	158	220
4	303	220
5	741	220
6	2510	220
7	5002	220

prune138.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 35.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b	(log (fmod (cosh c) (log1p a)))
0.6b	(pow E (log (fmod (cosh c) (log1p a))))
39.9b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`pow-unpow`
3×	`unpow-prod-up` `expm1-log1p-u` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(pow E (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series68.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(log (fmod (cosh c) (log1p a)))
47.0ms	(pow E (log (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))

simplify196.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	108	348
1	291	299
2	977	295
3	4952	281
4	5001	281

prune162.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 35.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow E (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
39.9b	(fmod (cosh c) (log1p a))
39.9b	(fmod (cosh c) (log1p a))
39.9b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down`
2×	`pow-exp`
1×	`pow-to-exp` `e-exp-1` `pow-unpow` `pow-pow` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

1.0ms	(pow E (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series50.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow E (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify78.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	79	602
1	196	484
2	737	421
3	2863	393
4	5001	393

prune184.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 35.2b

regimes336.0ms

Accuracy

0% (0.1b remaining)

Error of 34.6b against oracle of 34.5b and baseline of 34.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	15	13
2	15	13

end0.0ms

sample10.5s

Algorithm

intervals

Results

8.0s	7942×	body	10240	exit
1.0s	2252×	body	1280	valid
359.0ms	1640×	body	640	valid
172.0ms	162×	body	2560	valid
151.0ms	5256×	body	80	nan
113.0ms	2698×	body	80	valid
106.0ms	815×	body	320	valid
43.0ms	424×	body	160	valid
15.0ms	9×	body	5120	valid