Details

sample1.1s

Algorithm

intervals

Results

436.0ms	233×	body	10240	exit
171.0ms	102×	body	2560	valid
65.0ms	85×	body	1280	valid
48.0ms	88×	body	1280	nan
23.0ms	78×	body	640	nan
18.0ms	42×	body	640	valid
14.0ms	285×	body	80	nan
5.0ms	28×	body	320	nan
5.0ms	18×	body	320	valid
3.0ms	23×	body	160	nan
1.0ms	5×	body	160	valid
1.0ms	1×	body	2560	nan
0.0ms	4×	body	80	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5001	6

prune5.0ms

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: 61.5b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

1.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite12.0ms

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:

9.0ms	(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))

simplify87.0ms

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

prune70.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	3	22

Merged error: 60.1b

Counts

22 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
8.9b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(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))

simplify112.0ms

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

prune116.0ms

Filtered

39 candidates to 29 candidates (74.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 60.1b

Counts

42 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

8.9b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))
59.5b	(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))

simplify84.0ms

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

prune194.0ms

Filtered

48 candidates to 34 candidates (70.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 60.1b

Counts

52 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))
1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
8.9b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))

rewrite7.0ms

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:

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

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))

simplify90.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	101	478
1	138	409
2	271	409
3	705	409
4	3209	409
5	5002	409

prune169.0ms

Filtered

58 candidates to 43 candidates (74.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	57	5	62

Merged error: 60.1b

Counts

62 → 5

regimes132.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 60.0b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	17	24

end0.0ms

sample25.2s

Algorithm

intervals

Results

14.0s	7984×	body	10240	exit
5.1s	3172×	body	2560	valid
1.9s	2513×	body	1280	valid
1.5s	2955×	body	1280	nan
693.0ms	2461×	body	640	nan
507.0ms	1272×	body	640	valid
389.0ms	8425×	body	80	nan
210.0ms	1220×	body	320	nan
182.0ms	643×	body	320	valid
78.0ms	663×	body	160	nan
59.0ms	286×	body	160	valid
24.0ms	11×	body	5120	nan
12.0ms	114×	body	80	valid
7.0ms	7×	body	2560	nan