Details

sample984.0ms

Algorithm

intervals

Results

447.0ms	251×	body	10240	exit
162.0ms	102×	body	2560	valid
55.0ms	81×	body	1280	valid
25.0ms	527×	body	80	nan
19.0ms	49×	body	640	valid
4.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	1×	body	2560	nan
0.0ms	2×	body	160	nan
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	5002	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize11.0ms

Local error

Found 2 expressions with local error:

1.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.3b	(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))

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify86.0ms

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

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 60.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (fmod (cosh a) (* a a)))
1.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.2b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

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

series37.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(exp (fmod (cosh a) (* a 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))

simplify126.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	88	383
1	133	336
2	257	336
3	681	336
4	3339	336
5	5002	336

prune199.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
1.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.2b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))

rewrite3.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
2×	`rem-log-exp`
1×	`acos-asin`

Counts

4 → 50

Calls

4 calls:

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

series81.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(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))

simplify120.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 5 (115.0ms)

Iter	Nodes	Cost
0	94	499
1	137	429
2	264	429
3	672	429
4	3314	429
5	5001	427

prune221.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 60.0b

localize23.0ms

Local error

Found 4 expressions with local error:

11.2b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(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))

simplify83.0ms

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

prune280.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 60.0b

regimes129.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.9b and baseline of 60.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	39
1	21	39

end0.0ms

sample22.8s

Algorithm

intervals

Results

13.8s	7913×	body	10240	exit
5.2s	3230×	body	2560	valid
1.8s	2537×	body	1280	valid
692.0ms	15957×	body	80	nan
493.0ms	1263×	body	640	valid
152.0ms	547×	body	320	valid
57.0ms	295×	body	160	valid
12.0ms	128×	body	80	valid
11.0ms	5×	body	5120	nan
5.0ms	5×	body	2560	nan
3.0ms	6×	body	1280	nan
2.0ms	6×	body	640	nan
1.0ms	8×	body	160	nan
1.0ms	3×	body	320	nan