Details

sample1.4s

Algorithm

intervals

Results

672.0ms	269×	body	5120	exit
190.0ms	102×	body	2560	valid
80.0ms	86×	body	1280	valid
67.0ms	94×	body	1280	nan
38.0ms	301×	body	80	nan
27.0ms	65×	body	640	nan
22.0ms	42×	body	640	valid
9.0ms	32×	body	320	nan
5.0ms	12×	body	320	valid
4.0ms	21×	body	160	nan
3.0ms	13×	body	160	valid
2.0ms	1×	body	5120	nan
0.0ms	1×	body	80	valid

simplify51.0ms

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

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: 61.6b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh a)
2.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `cosh-def`

Counts

3 → 23

Calls

3 calls:

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

series61.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(cosh a)
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify161.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	96	184
1	202	161
2	643	153
3	4010	151
4	5001	151

prune112.0ms

Filtered

32 candidates to 25 candidates (78.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	26	6	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	6	33

Merged error: 60.4b

Counts

33 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh a)
2.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.9b	(log (exp (fmod (cosh a) (* a a))))
59.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

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×	`acos-asin` `cosh-def` `rem-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cosh 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))

series55.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cosh 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))

simplify167.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	122	305
1	234	263
2	716	255
3	4418	253
4	5001	253

prune156.0ms

Filtered

50 candidates to 37 candidates (74.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	49	7	56

Merged error: 60.4b

Counts

56 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

10.9b	(log (exp (fmod (cosh a) (* a a))))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(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))

simplify83.0ms

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

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Merged error: 60.4b

Counts

55 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

3.4b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.4b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series226.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
114.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify86.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	66	488
1	98	434
2	180	434
3	439	430
4	2003	430
5	5002	430

prune224.0ms

Filtered

66 candidates to 48 candidates (72.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	65	8	73

Merged error: 60.4b

Counts

73 → 8

regimes200.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.8b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	13	29

end0.0ms

sample32.8s

Algorithm

intervals

Results

19.1s	7881×	body	5120	exit
5.8s	3188×	body	2560	valid
2.2s	2507×	body	1280	valid
2.0s	2917×	body	1280	nan
1.0s	2447×	body	640	nan
714.0ms	8861×	body	80	nan
627.0ms	1254×	body	640	valid
313.0ms	1206×	body	320	nan
213.0ms	615×	body	320	valid
113.0ms	650×	body	160	nan
74.0ms	319×	body	160	valid
27.0ms	11×	body	5120	nan
14.0ms	117×	body	80	valid
6.0ms	5×	body	2560	nan