Details

sample1.4s

Algorithm

intervals

Results

634.0ms	255×	body	5120	exit
191.0ms	102×	body	2560	valid
91.0ms	99×	body	1280	nan
69.0ms	75×	body	1280	valid
40.0ms	96×	body	640	nan
25.0ms	304×	body	80	nan
19.0ms	36×	body	640	valid
17.0ms	63×	body	320	nan
8.0ms	22×	body	320	valid
4.0ms	15×	body	160	valid
3.0ms	15×	body	160	nan
3.0ms	1×	body	5120	nan
2.0ms	2×	body	2560	nan
1.0ms	6×	body	80	valid

simplify53.0ms

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: 60.3b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

2.0b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.1b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 15

Calls

2 calls:

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify86.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	44	144
1	72	124
2	156	124
3	405	124
4	1938	124
5	5002	124

prune82.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	14	7	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	7	22

Merged error: 59.0b

Counts

22 → 7

localize14.0ms

Local error

Found 3 expressions with local error:

2.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.7b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(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` `log-prod` `exp-prod` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 30

Calls

3 calls:

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))

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))

simplify109.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	73	265
1	107	226
2	221	226
3	590	226
4	2934	226
5	5002	226

prune136.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	36	10	46

Merged error: 59.0b

Counts

46 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.0b	(- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
11.7b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `log-pow` `add-cbrt-cube`
3×	`log-prod` `exp-prod`
2×	`asin-acos` `difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `diff-log` `rem-log-exp` `flip--` `distribute-lft-out--` `associate--r-`

Counts

4 → 46

Calls

4 calls:

1.0ms	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
7.0ms	(- (/ PI 2) (asin (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))

series41.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
34.0ms	(- (/ PI 2) (asin (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))

simplify142.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 4 (135.0ms)

Iter	Nodes	Cost
0	148	533
1	295	476
2	702	474
3	2899	474
4	5001	472

prune194.0ms

Filtered

58 candidates to 42 candidates (72.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	57	11	68

Merged error: 59.0b

Counts

68 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

11.7b	(log (exp (fmod (cosh a) (* a a))))
11.7b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite6.0ms

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` `add-cbrt-cube` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(log (exp (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	(log (exp (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	52	296
1	75	256
2	157	256
3	405	256
4	1946	256
5	5003	256

prune221.0ms

Filtered

56 candidates to 40 candidates (71.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	56	11	67

Merged error: 59.0b

Counts

67 → 11

regimes239.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample32.6s

Algorithm

intervals

Results

19.0s	7862×	body	5120	exit
5.7s	3139×	body	2560	valid
2.2s	2525×	body	1280	valid
2.0s	2916×	body	1280	nan
1.0s	2471×	body	640	nan
683.0ms	8659×	body	80	nan
627.0ms	1272×	body	640	valid
330.0ms	1240×	body	320	nan
209.0ms	612×	body	320	valid
106.0ms	619×	body	160	nan
80.0ms	350×	body	160	valid
40.0ms	14×	body	5120	nan
12.0ms	102×	body	80	valid
7.0ms	6×	body	2560	nan

Details

sample1.4s

simplify53.0ms

prune5.0ms

localize12.0ms

rewrite4.0ms

series12.0ms

simplify86.0ms

prune82.0ms

localize14.0ms

rewrite5.0ms

series7.0ms

simplify109.0ms

prune136.0ms

localize15.0ms

rewrite12.0ms

series41.0ms

simplify142.0ms

prune194.0ms

localize17.0ms

rewrite6.0ms

series7.0ms

simplify84.0ms

prune221.0ms

regimes239.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample32.6s

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