Details

sample1.1s

Algorithm

intervals

Results

521.0ms	290×	body	10240	exit
175.0ms	104×	body	2560	valid
59.0ms	81×	body	1280	valid
46.0ms	88×	body	1280	nan
24.0ms	83×	body	640	nan
16.0ms	41×	body	640	valid
15.0ms	291×	body	80	nan
7.0ms	42×	body	320	nan
4.0ms	13×	body	320	valid
3.0ms	14×	body	160	valid
2.0ms	15×	body	160	nan
0.0ms	3×	body	80	valid

simplify48.0ms

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: 61.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.2b	(fmod (cosh a) (* a a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`unpow-prod-down` `pow-unpow` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 32

Calls

3 calls:

11.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series126.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify138.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	291
1	249	265
2	805	265
3	3873	265
4	5001	265

prune127.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	6	42

Merged error: 59.7b

Counts

42 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.5b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.3b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`add-exp-log` `exp-prod`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`rem-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

3.0ms	(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))

series118.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(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))

simplify192.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (33.0ms)

Iter	Nodes	Cost
0	135	479
1	312	424
2	956	424
3	4680	420
4	5001	420

prune209.0ms

Filtered

64 candidates to 44 candidates (68.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	59	5	64
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	60	10	70

Merged error: 59.7b

Counts

70 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
1.5b	(acos (log (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))
12.3b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-pow`
17×	`exp-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `unpow-prod-down`
6×	`add-exp-log` `log-prod`
4×	`rem-log-exp` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

5.0ms	(log (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
1.0ms	(acos (log (exp (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))

series120.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(log (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
3.0ms	(acos (log (exp (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))

simplify87.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	134	516
1	241	431
2	629	431
3	2468	431
4	5003	431

prune256.0ms

Filtered

67 candidates to 49 candidates (73.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	59	8	67
Fresh	6	3	9
Picked	0	1	1
Done	0	0	0
Total	65	12	77

Merged error: 59.7b

Counts

77 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

1.5b	(acos (* (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a))))
11.0b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
6×	`exp-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod` `sqrt-prod`
2×	`rem-log-exp`
1×	`acos-asin`

Counts

4 → 41

Calls

4 calls:

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

series21.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (* (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a))))
13.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify145.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (11.0ms)

Iter	Nodes	Cost
0	94	448
1	148	373
2	320	373
3	946	372
4	4411	372
5	5001	372

prune197.0ms

Filtered

53 candidates to 39 candidates (73.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	54	11	65

Merged error: 59.7b

Counts

65 → 11

regimes148.0ms

Accuracy

0% (0.2b remaining)

Error of 60.0b against oracle of 59.8b and baseline of 60.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	26
1	19	26

end0.0ms

sample24.5s

Algorithm

intervals

Results

13.2s	7542×	body	10240	exit
5.2s	3210×	body	2560	valid
1.8s	2478×	body	1280	valid
1.5s	2936×	body	1280	nan
702.0ms	2517×	body	640	nan
488.0ms	1227×	body	640	valid
394.0ms	8554×	body	80	nan
222.0ms	1269×	body	320	nan
185.0ms	630×	body	320	valid
73.0ms	342×	body	160	valid
71.0ms	617×	body	160	nan
13.0ms	6×	body	5120	nan
12.0ms	113×	body	80	valid
7.0ms	7×	body	2560	nan