Details

sample357.0ms

Algorithm

intervals

Results

278.0ms	274×	body	10240	exit
30.0ms	68×	body	1280	valid
10.0ms	48×	body	640	valid
6.0ms	202×	body	80	nan
4.0ms	4×	body	2560	valid
4.0ms	95×	body	80	valid
3.0ms	22×	body	320	valid
2.0ms	19×	body	160	valid

simplify223.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
37.3b	(fmod (cosh c) (log1p a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`expm1-log1p-u`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `log1p-expm1`

Counts

2 → 20

Calls

2 calls:

0.0ms	(log1p a)
0.0ms	(fmod (cosh c) (log1p a))

series25.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(log1p a)
2.0ms	(fmod (cosh c) (log1p a))

simplify195.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	97	103
1	258	91
2	798	90
3	4467	86
4	5001	86

prune92.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 31.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
37.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 48

Calls

4 calls:

1.0ms	(cbrt (log1p a))
0.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series148.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt (log1p a))
50.0ms	(cbrt (log1p a))
49.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify103.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	215	543
1	684	498
2	3108	438
3	5001	431

prune303.0ms

Filtered

60 candidates to 54 candidates (90.0%)

Pruning

23 alts after pruning (21 fresh and 2 done)

Merged error: 31.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
37.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

series151.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (cbrt (log1p a)))
47.0ms	(cbrt (cbrt (log1p a)))
51.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify87.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	221	777
1	633	708
2	2827	663
3	5001	663

prune443.0ms

Filtered

69 candidates to 63 candidates (91.3%)

Pruning

37 alts after pruning (35 fresh and 2 done)

Merged error: 30.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (log1p a)))
37.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))
37.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))
37.3b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify85.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	221	923
1	633	796
2	2827	781
3	5001	781

prune293.0ms

Filtered

55 candidates to 48 candidates (87.3%)

Pruning

46 alts after pruning (44 fresh and 2 done)

Merged error: 30.7b

regimes1.1s

Accuracy

0% (2.0b remaining)

Error of 34.0b against oracle of 32.0b and baseline of 34.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	84
1	22	84

end0.0ms

sample10.4s

Algorithm

intervals

Results

8.0s	7910×	body	10240	exit
1.0s	2294×	body	1280	valid
348.0ms	1615×	body	640	valid
154.0ms	5305×	body	80	nan
149.0ms	141×	body	2560	valid
118.0ms	2740×	body	80	valid
105.0ms	789×	body	320	valid
41.0ms	411×	body	160	valid
15.0ms	10×	body	5120	valid