Details

sample1.3s

Algorithm

intervals

Results

628.0ms	249×	body	5120	exit
183.0ms	98×	body	2560	valid
74.0ms	103×	body	1280	nan
72.0ms	76×	body	1280	valid
32.0ms	77×	body	640	nan
23.0ms	283×	body	80	nan
20.0ms	38×	body	640	valid
16.0ms	47×	body	320	nan
9.0ms	24×	body	320	valid
4.0ms	14×	body	160	valid
3.0ms	16×	body	160	nan
1.0ms	6×	body	80	valid

simplify50.0ms

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

prune10.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 60.2b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

2.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.9b	(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)))
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

prune75.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	4	22

Merged error: 58.8b

Counts

22 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

2.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.2b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(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))

simplify110.0ms

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

prune129.0ms

Filtered

39 candidates to 29 candidates (74.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Merged error: 58.8b

Counts

43 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.8b	(- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
11.2b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `log-pow` `add-cbrt-cube`
3×	`log-prod` `exp-prod`
2×	`asin-acos` `difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `diff-log` `rem-log-exp` `flip--` `distribute-lft-out--` `associate--r-`

Counts

4 → 46

Calls

4 calls:

1.0ms	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
7.0ms	(- (/ PI 2) (asin (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))

series40.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
33.0ms	(- (/ PI 2) (asin (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))

simplify140.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (133.0ms)

Iter	Nodes	Cost
0	148	533
1	295	476
2	702	474
3	2899	474
4	5001	472

prune194.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	56	9	65

Merged error: 58.8b

Counts

65 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

11.2b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(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

prune201.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 58.8b

Counts

57 → 9

regimes225.0ms

Accuracy

0% (0.4b 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	24	36
1	24	36

end0.0ms

sample32.6s

Algorithm

intervals

Results

19.0s	7873×	body	5120	exit
5.5s	3072×	body	2560	valid
2.3s	2566×	body	1280	valid
2.0s	2911×	body	1280	nan
1.0s	2522×	body	640	nan
707.0ms	8738×	body	80	nan
629.0ms	1257×	body	640	valid
337.0ms	1280×	body	320	nan
226.0ms	648×	body	320	valid
116.0ms	650×	body	160	nan
84.0ms	339×	body	160	valid
14.0ms	118×	body	80	valid
7.0ms	3×	body	5120	nan
5.0ms	4×	body	2560	nan

Details

sample1.3s

simplify50.0ms

prune10.0ms

localize12.0ms

rewrite4.0ms

series13.0ms

simplify83.0ms

prune75.0ms

localize13.0ms

rewrite5.0ms

series7.0ms

simplify110.0ms

prune129.0ms

localize15.0ms

rewrite12.0ms

series40.0ms

simplify140.0ms

prune194.0ms

localize23.0ms

rewrite5.0ms

series7.0ms

simplify82.0ms

prune201.0ms

regimes225.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample32.6s

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