Details

sample1.1s

Algorithm

intervals

Results

442.0ms	250×	body	10240	exit
150.0ms	93×	body	2560	valid
70.0ms	93×	body	1280	valid
42.0ms	487×	body	80	nan
19.0ms	46×	body	640	valid
5.0ms	17×	body	320	valid
3.0ms	3×	body	2560	nan
1.0ms	6×	body	160	valid
0.0ms	1×	body	640	nan
0.0ms	1×	body	320	nan
0.0ms	1×	body	80	valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5001	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.2b

localize12.0ms

Local error

Found 2 expressions with local error:

1.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.8b	(fmod (cosh a) (* a a))

rewrite4.0ms

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×	`acos-asin`

Counts

2 → 15

Calls

2 calls:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms	(fmod (cosh a) (* a a))

simplify85.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	144
1	72	124
2	156	124
3	405	124
4	1968	124
5	5002	124

prune79.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.7b

localize13.0ms

Local error

Found 3 expressions with local error:

1.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.5b	(log (exp (fmod (cosh a) (* a a))))
59.8b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `log-pow`
3×	`add-exp-log` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 30

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series9.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify109.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	73	265
1	107	226
2	221	226
3	590	226
4	2934	226
5	5002	226

prune141.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.7b

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `sqrt-pow1`
6×	`add-exp-log` `exp-prod` `sqrt-prod`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 54

Calls

4 calls:

4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series232.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
115.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify83.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	66	488
1	98	434
2	180	434
3	439	430
4	2003	430
5	5002	430

prune273.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.7b

localize18.0ms

Local error

Found 4 expressions with local error:

11.5b	(log (exp (fmod (cosh a) (* a a))))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify81.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	246
1	75	212
2	157	212
3	405	212
4	1946	212
5	5003	212

prune210.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.7b

regimes163.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	13	29

end0.0ms

sample23.2s

Algorithm

intervals

Results

14.0s	7978×	body	10240	exit
5.1s	3176×	body	2560	valid
1.9s	2491×	body	1280	valid
738.0ms	16298×	body	80	nan
506.0ms	1244×	body	640	valid
184.0ms	657×	body	320	valid
64.0ms	319×	body	160	valid
19.0ms	9×	body	5120	nan
12.0ms	113×	body	80	valid
7.0ms	7×	body	2560	nan
4.0ms	11×	body	640	nan
4.0ms	7×	body	1280	nan
2.0ms	8×	body	320	nan
1.0ms	6×	body	160	nan