Details

sample1.1s

Algorithm

intervals

Results

496.0ms	278×	body	10240	exit
177.0ms	107×	body	2560	valid
67.0ms	74×	body	1280	valid
47.0ms	91×	body	1280	nan
20.0ms	71×	body	640	nan
18.0ms	44×	body	640	valid
12.0ms	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 (1.0ms)

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

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: 61.2b

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))

series14.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms	(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	359	34
4	1849	34
5	5002	34

prune19.0ms

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))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 7

Calls

3 calls:

1.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
4.0ms	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
1.0ms	(fmod (cosh a) (* a a))

series37.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(asin (pow (fmod (cosh a) (* a a)) (log1p a)))
32.0ms	(- (/ PI 2) (asin (pow (fmod (cosh a) (* a a)) (log1p a))))
2.0ms	(fmod (cosh a) (* a a))

simplify66.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 4 (63.0ms)

Iter	Nodes	Cost
0	80	133
1	174	132
2	417	132
3	1403	132
4	5001	129

prune52.0ms

Filtered

16 candidates to 8 candidates (50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	14	4	18

Merged error: 61.2b

Counts

18 → 4

localize23.0ms

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 (8.0ms)

Iter	Nodes	Cost
0	82	66
1	178	66
2	560	65
3	1978	65
4	5001	65

prune33.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
1.0b	(- (/ PI 2) (- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-sub`
5×	`flip3--` `flip--`
3×	`acos-asin` `sub-neg` `fma-neg` `associate--r+` `associate--r-`
2×	`frac-2neg` `clear-num`
1×	`*-commutative` `div-inv`

Counts

4 → 23

Calls

4 calls:

4.0ms	(- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
7.0ms	(- (/ PI 2) (- (* 1/2 PI) (acos (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))

series43.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
5.0ms	(- (/ PI 2) (- (* 1/2 PI) (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

simplify40.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	278	548
1	1216	508
2	5001	484

prune119.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	1	1
Picked	1	0	1
Done	1	1	2
Total	31	8	39

Merged error: 59.4b

Counts

39 → 8

regimes258.0ms

Accuracy

0% (0.0b remaining)

Error of 59.4b against oracle of 59.4b and baseline of 59.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	47
1	39	47
2	40	47
3	40	47

end0.0ms

sample24.9s

Algorithm

intervals

Results

13.8s	7944×	body	10240	exit
5.1s	3204×	body	2560	valid
1.8s	2473×	body	1280	valid
1.5s	2938×	body	1280	nan
699.0ms	2529×	body	640	nan
495.0ms	1259×	body	640	valid
385.0ms	8582×	body	80	nan
220.0ms	1290×	body	320	nan
178.0ms	625×	body	320	valid
76.0ms	653×	body	160	nan
66.0ms	333×	body	160	valid
19.0ms	14×	body	2560	nan
17.0ms	8×	body	5120	nan
11.0ms	106×	body	80	valid