Details

sample1.1s

Algorithm

intervals

Results

443.0ms	238×	body	10240	exit
165.0ms	100×	body	2560	valid
63.0ms	82×	body	1280	valid
50.0ms	91×	body	1280	nan
22.0ms	73×	body	640	nan
16.0ms	38×	body	640	valid
14.0ms	284×	body	80	nan
7.0ms	40×	body	320	nan
7.0ms	20×	body	320	valid
3.0ms	27×	body	160	nan
3.0ms	13×	body	160	valid
2.0ms	1×	body	5120	nan
1.0ms	1×	body	2560	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	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: 60.9b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
3.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.6b	(fmod (cosh a) (* a a))

rewrite7.0ms

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))

series139.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(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))

simplify135.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	291
1	249	265
2	801	265
3	3813	265
4	5001	265

prune114.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	8	42

Merged error: 59.7b

Counts

42 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
14.6b	(log (exp (fmod (cosh a) (* a a))))
59.6b	(fmod (cosh a) (* a a))

rewrite7.0ms

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))

series121.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(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

64 → 64

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	135	479
1	312	424
2	952	424
3	4618	420
4	5001	420

prune171.0ms

Filtered

64 candidates to 43 candidates (67.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Merged error: 59.7b

Counts

72 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

14.6b	(log (exp (fmod (cosh a) (* a a))))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 37

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series8.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify79.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	246
1	75	212
2	157	212
3	405	212
4	1936	212
5	5001	212

prune196.0ms

Filtered

49 candidates to 34 candidates (69.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	48	11	59

Merged error: 59.6b

Counts

59 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

14.6b	(log (exp (fmod (cosh a) (* a a))))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 37

Calls

4 calls:

2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(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	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify82.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	246
1	75	212
2	157	212
3	405	212
4	1936	212
5	5001	212

prune170.0ms

Filtered

49 candidates to 33 candidates (67.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	49	11	60

Merged error: 59.6b

Counts

60 → 11

regimes235.0ms

Accuracy

0% (0.4b remaining)

Error of 60.1b against oracle of 59.7b and baseline of 60.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	15	25

end0.0ms

sample25.0s

Algorithm

intervals

Results

13.8s	7833×	body	10240	exit
5.0s	3109×	body	2560	valid
1.9s	2544×	body	1280	valid
1.5s	2882×	body	1280	nan
710.0ms	2494×	body	640	nan
503.0ms	1249×	body	640	valid
404.0ms	8587×	body	80	nan
223.0ms	1249×	body	320	nan
182.0ms	637×	body	320	valid
73.0ms	611×	body	160	nan
69.0ms	331×	body	160	valid
32.0ms	15×	body	5120	nan
14.0ms	130×	body	80	valid
10.0ms	11×	body	2560	nan