Details

sample967.0ms

Algorithm

intervals

Results

418.0ms	236×	body	10240	exit
173.0ms	98×	body	2560	valid
70.0ms	97×	body	1280	valid
24.0ms	539×	body	80	nan
13.0ms	32×	body	640	valid
5.0ms	18×	body	320	valid
2.0ms	8×	body	160	valid
0.0ms	3×	body	80	valid

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.6b

localize12.0ms

Local error

Found 2 expressions with local error:

1.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.2b	(fmod (cosh a) (* a a))

rewrite3.0ms

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))

simplify84.0ms

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

prune82.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.4b

localize12.0ms

Local error

Found 3 expressions with local error:

1.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.3b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(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` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 30

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))

series10.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify107.0ms

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

prune130.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.4b

localize17.0ms

Local error

Found 4 expressions with local error:

9.3b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
59.2b	(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` `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))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(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

prune228.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.3b

localize25.0ms

Local error

Found 4 expressions with local error:

59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

0.0ms	(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	(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))

simplify60.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	196
1	40	168
2	92	168
3	228	168
4	1044	168
5	5001	168

prune257.0ms

Filtered

40 candidates to 32 candidates (80.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.3b

regimes168.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.8b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	19	37

end0.0ms

sample22.2s

Algorithm

intervals

Results

13.4s	7729×	body	10240	exit
4.9s	3128×	body	2560	valid
1.8s	2545×	body	1280	valid
669.0ms	15870×	body	80	nan
486.0ms	1257×	body	640	valid
170.0ms	622×	body	320	valid
62.0ms	325×	body	160	valid
15.0ms	7×	body	5120	nan
12.0ms	123×	body	80	valid
6.0ms	6×	body	2560	nan
4.0ms	12×	body	640	nan
2.0ms	4×	body	1280	nan
1.0ms	10×	body	160	nan
1.0ms	5×	body	320	nan