Details

sample986.0ms

Algorithm

intervals

Results

451.0ms	251×	body	10240	exit
163.0ms	102×	body	2560	valid
56.0ms	81×	body	1280	valid
25.0ms	527×	body	80	nan
20.0ms	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	5001	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` `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))

series12.0ms

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

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 60.0b

localize13.0ms

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` `log-pow` `add-cbrt-cube`
3×	`log-prod`
1×	`acos-asin` `rem-log-exp` `rem-exp-log`

Counts

4 → 41

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))

series42.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(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))

simplify125.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	80	339
1	125	292
2	248	292
3	665	292
4	3272	292
5	5002	292

prune170.0ms

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×	`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))))
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))

series82.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(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

prune191.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 60.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

56 → 56

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	296
1	75	256
2	157	256
3	405	256
4	1946	256
5	5003	256

prune281.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 59.9b

regimes136.0ms

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	24	31
1	24	31

end0.0ms

sample23.0s

Algorithm

intervals

Results

13.9s	7913×	body	10240	exit
5.2s	3230×	body	2560	valid
1.9s	2537×	body	1280	valid
689.0ms	15957×	body	80	nan
506.0ms	1263×	body	640	valid
155.0ms	547×	body	320	valid
59.0ms	295×	body	160	valid
13.0ms	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