Details

sample346.0ms

Algorithm

intervals

Results

262.0ms	247×	body	10240	exit
32.0ms	72×	body	1280	valid
11.0ms	52×	body	640	valid
8.0ms	165×	body	80	nan
6.0ms	7×	body	2560	valid
4.0ms	34×	body	320	valid
4.0ms	84×	body	80	valid
1.0ms	7×	body	160	valid

simplify207.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
40.0b	(fmod (cosh c) (log1p a))

rewrite1.0ms

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))

series50.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

simplify131.0ms

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

prune71.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 35.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(exp (log (cosh c)))
2.6b	(log (cosh c))
39.9b	(fmod (exp (log (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×	`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:

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

series239.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cosh c)
47.0ms	(exp (log (cosh c)))
148.0ms	(log (cosh c))
2.0ms	(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

prune159.0ms

Filtered

56 candidates to 37 candidates (66.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 35.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.6b	(log (cosh c))
2.6b	(log (cosh c))
2.6b	(log (cosh c))
40.0b	(fmod (exp (* (* (cbrt (log (cosh c))) (cbrt (log (cosh c)))) (cbrt (log (cosh c))))) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

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

series451.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(log (cosh c))
149.0ms	(log (cosh c))
149.0ms	(log (cosh c))
3.0ms	(fmod (exp (* (* (cbrt (log (cosh c))) (cbrt (log (cosh c)))) (cbrt (log (cosh c))))) (log1p a))

simplify153.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (148.0ms)

Iter	Nodes	Cost
0	108	381
1	213	328
2	676	304
3	3885	293
4	5002	290

prune200.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 35.0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.6b	(log (cosh c))
2.6b	(log (cosh c))
2.6b	(log (cosh c))
40.0b	(fmod (exp (* (* (cbrt (log (cosh c))) (cbrt (log (cosh c)))) (cbrt (log (cosh c))))) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

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

series453.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(log (cosh c))
150.0ms	(log (cosh c))
148.0ms	(log (cosh c))
3.0ms	(fmod (exp (* (* (cbrt (log (cosh c))) (cbrt (log (cosh c)))) (cbrt (log (cosh c))))) (log1p a))

simplify153.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (148.0ms)

Iter	Nodes	Cost
0	108	381
1	213	328
2	676	304
3	3885	293
4	5002	290

prune204.0ms

Filtered

58 candidates to 41 candidates (70.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 35.0b

regimes268.0ms

Accuracy

0% (0.1b remaining)

Error of 34.1b against oracle of 34.0b and baseline of 34.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.9s	7738×	body	10240	exit
1.0s	2298×	body	1280	valid
363.0ms	1636×	body	640	valid
153.0ms	5189×	body	80	nan
148.0ms	140×	body	2560	valid
117.0ms	2780×	body	80	valid
94.0ms	732×	body	320	valid
41.0ms	404×	body	160	valid
16.0ms	10×	body	5120	valid