Details

sample303.0ms

Algorithm

intervals

Results

225.0ms	213×	body	10240	exit
31.0ms	69×	body	1280	valid
9.0ms	41×	body	640	valid
7.0ms	6×	body	2560	valid
4.0ms	154×	body	80	nan
4.0ms	95×	body	80	valid
4.0ms	29×	body	320	valid
2.0ms	16×	body	160	valid

simplify218.0ms

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	43	3
7	64	3
8	154	3
9	1044	3
10	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
37.2b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`cosh-def`

Counts

2 → 15

Calls

2 calls:

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

series49.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify135.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	76	89
1	159	79
2	542	71
3	3481	69
4	5001	69

prune83.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 32.8b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.1b	(exp (log (cosh c)))
2.6b	(log (cosh c))
37.2b	(fmod (exp (log (cosh c))) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`exp-prod` `add-cbrt-cube` `add-log-exp`
3×	`cosh-def` `exp-sum`
2×	`log-div` `log-pow`
1×	`exp-diff` `rem-log-exp` `rem-exp-log`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cosh c)
3.0ms	(exp (log (cosh c)))
1.0ms	(log (cosh c))
0.0ms	(fmod (exp (log (cosh c))) (log1p a))

series237.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cosh c)
42.0ms	(exp (log (cosh c)))
147.0ms	(log (cosh c))
3.0ms	(fmod (exp (log (cosh c))) (log1p a))

simplify38.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	138	247
1	294	220
2	906	196
3	5002	186

prune188.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 32.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(exp (log (fmod (exp (log (cosh c))) (log1p a))))
0.9b	(log (fmod (exp (log (cosh c))) (log1p a)))
2.6b	(log (cosh c))
37.2b	(fmod (exp (log (cosh c))) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log`
4×	`exp-prod` `add-cbrt-cube` `add-log-exp`
3×	`exp-sum` `log-pow`
2×	`rem-log-exp`
1×	`log-div` `cosh-def` `rem-exp-log`

Counts

4 → 47

Calls

4 calls:

3.0ms	(exp (log (fmod (exp (log (cosh c))) (log1p a))))
1.0ms	(log (fmod (exp (log (cosh c))) (log1p a)))
1.0ms	(log (cosh c))
0.0ms	(fmod (exp (log (cosh c))) (log1p a))

series173.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(exp (log (fmod (exp (log (cosh c))) (log1p a))))
19.0ms	(log (fmod (exp (log (cosh c))) (log1p a)))
149.0ms	(log (cosh c))
2.0ms	(fmod (exp (log (cosh c))) (log1p a))

simplify153.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 4 (148.0ms)

Iter	Nodes	Cost
0	136	388
1	260	332
2	742	312
3	3988	306
4	5002	303

prune282.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 32.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow E (log (fmod (exp (log (cosh c))) (log1p a))))
0.9b	(log (fmod (exp (log (cosh c))) (log1p a)))
2.6b	(log (cosh c))
37.2b	(fmod (exp (log (cosh c))) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
8×	`pow1`
7×	`add-exp-log`
4×	`pow-unpow` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-up` `unpow-prod-down` `log-pow`
2×	`rem-log-exp` `pow-exp`
1×	`pow-to-exp` `log-div` `e-exp-1` `cosh-def` `pow-pow` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

3.0ms	(pow E (log (fmod (exp (log (cosh c))) (log1p a))))
1.0ms	(log (fmod (exp (log (cosh c))) (log1p a)))
1.0ms	(log (cosh c))
0.0ms	(fmod (exp (log (cosh c))) (log1p a))

series214.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(pow E (log (fmod (exp (log (cosh c))) (log1p a))))
19.0ms	(log (fmod (exp (log (cosh c))) (log1p a)))
150.0ms	(log (cosh c))
2.0ms	(fmod (exp (log (cosh c))) (log1p a))

simplify66.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	183	486
1	524	404
2	1933	387
3	5001	358

prune224.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.8b

regimes568.0ms

Accuracy

0% (0.1b remaining)

Error of 34.3b against oracle of 34.3b and baseline of 34.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12

end0.0ms

sample10.2s

Algorithm

intervals

Results

7.8s	7733×	body	10240	exit
1.1s	2345×	body	1280	valid
346.0ms	1571×	body	640	valid
152.0ms	5283×	body	80	nan
140.0ms	128×	body	2560	valid
117.0ms	2752×	body	80	valid
107.0ms	815×	body	320	valid
36.0ms	382×	body	160	valid
11.0ms	7×	body	5120	valid