Details

sample1.1s

Algorithm

intervals

Results

515.0ms	266×	body	10240	exit
201.0ms	115×	body	2560	valid
64.0ms	78×	body	1280	valid
36.0ms	536×	body	80	nan
17.0ms	36×	body	640	valid
5.0ms	15×	body	320	valid
2.0ms	7×	body	160	valid
1.0ms	5×	body	80	valid
0.0ms	1×	body	640	nan

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	5002	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize11.0ms

Local error

Found 2 expressions with local error:

1.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.4b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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`
1×	`acos-asin`

Counts

2 → 19

Calls

2 calls:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify85.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	166
1	76	146
2	160	146
3	411	146
4	2000	146
5	5001	146

prune94.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.1b

localize15.0ms

Local error

Found 3 expressions with local error:

1.5b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.0b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

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

series7.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify108.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	299
1	113	260
2	227	260
3	599	260
4	2974	260
5	5001	260

prune158.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.1b

localize19.0ms

Local error

Found 4 expressions with local error:

11.0b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(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))

series8.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify81.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	56	278
1	79	244
2	161	244
3	412	244
4	1977	244
5	5001	244

prune278.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.0b

localize14.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 62

Calls

4 calls:

2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series225.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
111.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify84.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	70	532
1	102	478
2	184	478
3	446	474
4	2034	474
5	5002	474

prune292.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.0b

regimes173.0ms

Accuracy

0% (0.4b remaining)

Error of 60.4b against oracle of 60.0b and baseline of 60.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	15	25

end0.0ms

sample24.9s

Algorithm

intervals

Results

14.8s	7791×	body	10240	exit
5.4s	3131×	body	2560	valid
2.1s	2538×	body	1280	valid
1.0s	15885×	body	80	nan
638.0ms	1320×	body	640	valid
214.0ms	616×	body	320	valid
73.0ms	295×	body	160	valid
12.0ms	100×	body	80	valid
12.0ms	5×	body	5120	nan
9.0ms	8×	body	2560	nan
5.0ms	8×	body	1280	nan
3.0ms	7×	body	640	nan
2.0ms	5×	body	320	nan
0.0ms	2×	body	160	nan