Details

sample1.1s

Algorithm

intervals

Results

413.0ms	236×	body	10240	exit
179.0ms	108×	body	2560	valid
58.0ms	77×	body	1280	valid
50.0ms	92×	body	1280	nan
24.0ms	85×	body	640	nan
21.0ms	324×	body	80	nan
16.0ms	39×	body	640	valid
8.0ms	47×	body	320	nan
6.0ms	23×	body	320	valid
2.0ms	2×	body	2560	nan
2.0ms	9×	body	160	valid
1.0ms	13×	body	160	nan

simplify48.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.2b

localize12.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.8b	(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:

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)))
10.0ms	(fmod (cosh a) (* a a))

simplify86.0ms

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

prune88.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.9b

localize13.0ms

Local error

Found 3 expressions with local error:

1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.9b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(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)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(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))

simplify106.0ms

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: 60.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.9b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

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

series79.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
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))

simplify119.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 5 (114.0ms)

Iter	Nodes	Cost
0	86	445
1	129	375
2	256	375
3	660	375
4	3261	375
5	5001	373

prune206.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.9b

localize21.0ms

Local error

Found 4 expressions with local error:

11.9b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))
60.8b	(fmod (cosh a) (* a a))

rewrite5.0ms

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:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series7.0ms

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))

simplify82.0ms

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

prune243.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.9b

regimes149.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	15	33

end0.0ms

sample25.3s

Algorithm

intervals

Results

14.1s	8147×	body	10240	exit
5.1s	3187×	body	2560	valid
1.8s	2485×	body	1280	valid
1.5s	2984×	body	1280	nan
698.0ms	2517×	body	640	nan
490.0ms	1240×	body	640	valid
397.0ms	8798×	body	80	nan
209.0ms	1194×	body	320	nan
177.0ms	643×	body	320	valid
71.0ms	599×	body	160	nan
67.0ms	323×	body	160	valid
30.0ms	14×	body	5120	nan
15.0ms	122×	body	80	valid
10.0ms	10×	body	2560	nan