Details

sample1.1s

Algorithm

intervals

Results

567.0ms	292×	body	10240	exit
156.0ms	90×	body	2560	valid
75.0ms	86×	body	1280	valid
52.0ms	555×	body	80	nan
29.0ms	46×	body	640	valid
6.0ms	16×	body	320	valid
3.0ms	11×	body	160	valid
1.0ms	7×	body	80	valid
0.0ms	1×	body	320	nan

simplify46.0ms

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: 60.5b

localize11.0ms

Local error

Found 2 expressions with local error:

2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.5b	(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)))
9.0ms	(fmod (cosh a) (* a a))

simplify83.0ms

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

prune81.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.2b

localize12.0ms

Local error

Found 3 expressions with local error:

2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.3b	(log (exp (fmod (cosh a) (* a a))))
58.5b	(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))

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

prune134.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.2b

localize15.0ms

Local error

Found 4 expressions with local error:

1.1b	(log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))
2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.3b	(log (exp (fmod (cosh a) (* a a))))
58.5b	(fmod (cosh a) (* a a))

rewrite6.0ms

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×	`acos-asin` `rem-log-exp`
1×	`log-div` `exp-diff`

Counts

4 → 46

Calls

4 calls:

1.0ms	(log (exp (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))

series10.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (exp (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))

simplify126.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	101	478
1	138	409
2	271	409
3	706	409
4	3505	409
5	5002	409

prune214.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.2b

localize20.0ms

Local error

Found 4 expressions with local error:

11.3b	(log (exp (fmod (cosh a) (* a a))))
11.3b	(log (exp (fmod (cosh a) (* a a))))
58.5b	(fmod (cosh a) (* a a))
58.5b	(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))

series10.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(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))

simplify80.0ms

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

prune283.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 59.1b

regimes251.0ms

Accuracy

0% (0.5b remaining)

Error of 60.2b against oracle of 59.7b and baseline of 60.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	33
1	28	33

end0.0ms

sample25.8s

Algorithm

intervals

Results

15.3s	7901×	body	10240	exit
5.4s	3120×	body	2560	valid
2.1s	2444×	body	1280	valid
1.4s	16013×	body	80	nan
651.0ms	1317×	body	640	valid
237.0ms	634×	body	320	valid
104.0ms	352×	body	160	valid
25.0ms	133×	body	80	valid
19.0ms	8×	body	5120	nan
6.0ms	9×	body	1280	nan
4.0ms	4×	body	2560	nan
4.0ms	8×	body	640	nan
2.0ms	7×	body	320	nan
2.0ms	9×	body	160	nan