Details

sample1.4s

Algorithm

intervals

Results

614.0ms	242×	body	5120	exit
210.0ms	105×	body	2560	valid
80.0ms	108×	body	1280	nan
74.0ms	80×	body	1280	valid
34.0ms	77×	body	640	nan
23.0ms	276×	body	80	nan
23.0ms	42×	body	640	valid
12.0ms	44×	body	320	nan
6.0ms	17×	body	320	valid
5.0ms	25×	body	160	nan
3.0ms	1×	body	5120	nan
3.0ms	10×	body	160	valid
2.0ms	2×	body	2560	nan
0.0ms	2×	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: 61.5b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.0b	(fmod (cosh a) (* a a))

rewrite8.0ms

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:

3.0ms	(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))

series131.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify142.0ms

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

prune122.0ms

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: 60.2b

Counts

42 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.8b	(log (exp (fmod (cosh a) (* a a))))
60.0b	(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×	`exp-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
1×	`acos-asin` `pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `sqr-pow`

Counts

4 → 51

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))

series115.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(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))

simplify186.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (32.0ms)

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

prune185.0ms

Filtered

63 candidates to 44 candidates (69.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	60	9	69

Merged error: 60.1b

Counts

69 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
1.9b	(acos (log (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))
10.8b	(log (exp (fmod (cosh a) (* a a))))
60.0b	(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×	`log-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`rem-log-exp`
1×	`acos-asin` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

5.0ms	(log (exp (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
2.0ms	(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))

series115.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(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

65 → 65

Iterations

Useful iterations: 1 (4.0ms)

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

prune226.0ms

Filtered

65 candidates to 49 candidates (75.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	64	10	74

Merged error: 60.1b

Counts

74 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

1.9b	(acos (* (pow (log (exp (sqrt (fmod (cosh a) (* a a))))) (log1p a)) (pow (sqrt (fmod (cosh a) (* a a))) (log1p a))))
10.0b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
60.0b	(fmod (cosh a) (* a a))
60.0b	(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`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `sqrt-prod`
1×	`acos-asin` `rem-log-exp`

Counts

4 → 40

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))

simplify143.0ms

Algorithm

egg-herbie

Counts

52 → 52

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

prune168.0ms

Filtered

52 candidates to 39 candidates (75.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	52	10	62

Merged error: 60.1b

Counts

62 → 10

regimes222.0ms

Accuracy

0% (0.1b remaining)

Error of 59.9b against oracle of 59.8b and baseline of 59.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	18
1	17	18

end0.0ms

sample33.4s

Algorithm

intervals

Results

19.4s	7956×	body	5120	exit
5.7s	3131×	body	2560	valid
2.2s	2531×	body	1280	valid
2.1s	2938×	body	1280	nan
1.1s	2580×	body	640	nan
722.0ms	8871×	body	80	nan
660.0ms	1287×	body	640	valid
340.0ms	1259×	body	320	nan
215.0ms	605×	body	320	valid
120.0ms	667×	body	160	nan
77.0ms	317×	body	160	valid
23.0ms	9×	body	5120	nan
16.0ms	13×	body	2560	nan
15.0ms	129×	body	80	valid