Details

sample1.1s

Algorithm

intervals

Results

432.0ms	233×	body	10240	exit
171.0ms	102×	body	2560	valid
66.0ms	85×	body	1280	valid
47.0ms	88×	body	1280	nan
23.0ms	78×	body	640	nan
18.0ms	42×	body	640	valid
14.0ms	285×	body	80	nan
5.0ms	18×	body	320	valid
5.0ms	28×	body	320	nan
3.0ms	23×	body	160	nan
1.0ms	5×	body	160	valid
1.0ms	1×	body	2560	nan
0.0ms	4×	body	80	valid

simplify51.0ms

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	5002	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))

rewrite4.0ms

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:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series21.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
18.0ms	(fmod (cosh a) (* a a))

simplify87.0ms

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

prune84.0ms

Filtered

25 candidates to 20 candidates (80.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	4	26

Merged error: 60.1b

Counts

26 → 4

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

Counts

3 → 36

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(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))

simplify111.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	299
1	113	260
2	227	260
3	599	260
4	2974	260
5	5001	260

prune138.0ms

Filtered

45 candidates to 35 candidates (77.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 60.1b

Counts

49 → 5

localize17.0ms

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` `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:

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))

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))

simplify84.0ms

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

prune236.0ms

Filtered

56 candidates to 42 candidates (75.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Merged error: 60.1b

Counts

61 → 5

localize16.0ms

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))

rewrite8.0ms

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

Counts

4 → 54

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))

simplify132.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	109	530
1	146	461
2	279	461
3	717	461
4	3551	461
5	5002	461

prune195.0ms

Filtered

66 candidates to 51 candidates (77.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	66	5	71

Merged error: 60.1b

Counts

71 → 5

regimes129.0ms

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
689.0ms	2461×	body	640	nan
514.0ms	1272×	body	640	valid
385.0ms	8425×	body	80	nan
207.0ms	1220×	body	320	nan
182.0ms	643×	body	320	valid
80.0ms	663×	body	160	nan
60.0ms	286×	body	160	valid
25.0ms	11×	body	5120	nan
12.0ms	114×	body	80	valid
7.0ms	7×	body	2560	nan