Details

sample1.1s

Algorithm

intervals

Results

439.0ms	241×	body	10240	exit
198.0ms	117×	body	2560	valid
52.0ms	69×	body	1280	valid
43.0ms	80×	body	1280	nan
19.0ms	67×	body	640	nan
17.0ms	41×	body	640	valid
15.0ms	304×	body	80	nan
8.0ms	47×	body	320	nan
6.0ms	22×	body	320	valid
2.0ms	18×	body	160	nan
1.0ms	5×	body	80	valid
0.0ms	2×	body	160	valid

simplify49.0ms

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	5002	6

prune4.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

1.0b	(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))

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))

simplify84.0ms

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

prune82.0ms

Filtered

25 candidates to 20 candidates (80.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	3	26

Merged error: 60.3b

Counts

26 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

1.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
8.8b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))

rewrite8.0ms

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)))
5.0ms	(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))

simplify108.0ms

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

prune139.0ms

Filtered

45 candidates to 35 candidates (77.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Merged error: 60.3b

Counts

48 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.0b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))

rewrite9.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 62

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))

series220.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
110.0ms	(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

74 → 74

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	70	532
1	102	478
2	184	478
3	446	474
4	2034	474
5	5002	474

prune276.0ms

Filtered

74 candidates to 56 candidates (75.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	73	6	79

Merged error: 60.2b

Counts

79 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

1.1b	(log (sqrt (sqrt (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))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`sqrt-pow1`
9×	`log-prod` `sqrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
7×	`pow1`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
2×	`pow1/2`
1×	`rem-log-exp`

Counts

4 → 54

Calls

4 calls:

4.0ms	(log (sqrt (sqrt (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))

series207.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(log (sqrt (sqrt (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))

simplify90.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	83	459
1	112	415
2	194	415
3	462	410
4	2109	410
5	5001	410

prune253.0ms

Filtered

66 candidates to 48 candidates (72.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	66	6	72

Merged error: 60.2b

Counts

72 → 6

regimes128.0ms

Accuracy

0% (0.5b remaining)

Error of 60.1b against oracle of 59.6b and baseline of 60.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	35
1	19	35

end0.0ms

sample24.5s

Algorithm

intervals

Results

13.5s	7768×	body	10240	exit
5.0s	3122×	body	2560	valid
1.8s	2507×	body	1280	valid
1.5s	2868×	body	1280	nan
686.0ms	2503×	body	640	nan
494.0ms	1268×	body	640	valid
391.0ms	8827×	body	80	nan
219.0ms	1282×	body	320	nan
183.0ms	634×	body	320	valid
83.0ms	685×	body	160	nan
66.0ms	336×	body	160	valid
14.0ms	133×	body	80	valid
8.0ms	4×	body	5120	nan
3.0ms	3×	body	2560	nan