Details

sample1.1s

Algorithm

intervals

Results

515.0ms	278×	body	10240	exit
179.0ms	107×	body	2560	valid
57.0ms	74×	body	1280	valid
48.0ms	91×	body	1280	nan
20.0ms	71×	body	640	nan
19.0ms	44×	body	640	valid
13.0ms	270×	body	80	nan
8.0ms	45×	body	320	nan
6.0ms	18×	body	320	valid
2.0ms	10×	body	160	valid
2.0ms	18×	body	160	nan
0.0ms	3×	body	80	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1268	6
6	5001	6

prune11.0ms

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: 61.2b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`acos-asin`

Counts

2 → 1

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))

simplify77.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	34
1	42	34
2	121	34
3	357	34
4	1821	34
5	5001	34

prune12.0ms

Filtered

7 candidates to 2 candidates (28.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	6	1	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	2	8

Merged error: 61.2b

Counts

8 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0b	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
59.9b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`asin-acos`
1×	`sub-neg` `flip3--` `flip--` `associate--r-`

Counts

3 → 6

Calls

3 calls:

1.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
3.0ms	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
1.0ms	(fmod (cosh a) (* a a))

series35.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
30.0ms	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
2.0ms	(fmod (cosh a) (* a a))

simplify74.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	76	126
1	161	126
2	382	126
3	1333	126
4	5001	126

prune34.0ms

Filtered

15 candidates to 6 candidates (40.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	13	4	17

Merged error: 61.2b

Counts

17 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (/ PI 2) 3)
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow-to-exp` `unpow-prod-down` `unpow3` `div-inv` `sqr-pow`

Counts

4 → 4

Calls

4 calls:

2.0ms	(pow (/ PI 2) 3)
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series5.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(pow (/ PI 2) 3)
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify70.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	79	68
1	172	68
2	533	67
3	1865	67
4	5001	67

prune29.0ms

Filtered

14 candidates to 4 candidates (28.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	14	4	18

Merged error: 61.2b

Counts

18 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-commutative` `difference-of-squares`
1×	`sub-neg` `flip3--` `flip--`

Counts

4 → 8

Calls

4 calls:

9.0ms	(- (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series80.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* (/ PI 2) (/ PI 2)) (* (asin (pow (fmod (cosh a) (* a a)) (log1p a))) (asin (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify198.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	100	247
1	327	214
2	1038	209
3	4756	208
4	5001	208

prune49.0ms

Filtered

20 candidates to 8 candidates (40.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	19	5	24

Merged error: 61.2b

Counts

24 → 5

regimes178.0ms

Accuracy

0% (0.0b remaining)

Error of 61.2b against oracle of 61.2b and baseline of 61.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	51
1	37	51

end0.0ms

sample25.4s

Algorithm

intervals

Results

14.0s	7944×	body	10240	exit
5.2s	3204×	body	2560	valid
1.9s	2473×	body	1280	valid
1.5s	2938×	body	1280	nan
716.0ms	2529×	body	640	nan
519.0ms	1259×	body	640	valid
404.0ms	8582×	body	80	nan
231.0ms	1290×	body	320	nan
189.0ms	625×	body	320	valid
79.0ms	653×	body	160	nan
72.0ms	333×	body	160	valid
17.0ms	8×	body	5120	nan
13.0ms	14×	body	2560	nan
12.0ms	106×	body	80	valid