Details

sample326.0ms

Algorithm

intervals

Results

245.0ms	246×	body	10240	exit
34.0ms	67×	body	1280	valid
10.0ms	46×	body	640	valid
5.0ms	173×	body	80	nan
4.0ms	4×	body	2560	valid
4.0ms	100×	body	80	valid
3.0ms	25×	body	320	valid
1.0ms	14×	body	160	valid

simplify221.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
35.9b	(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))

series24.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(log1p a)
3.0ms	(fmod (cosh c) (log1p a))

simplify193.0ms

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

prune89.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 30.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
35.9b	(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:

0.0ms	(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))))

series151.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt (log1p a))
51.0ms	(cbrt (log1p a))
49.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify101.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (95.0ms)

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

prune302.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 30.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
35.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (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:

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

series154.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (log1p a))
48.0ms	(cbrt (log1p a))
51.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify103.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	224	639
1	705	578
2	3149	518
3	5002	518

prune393.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 29.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
35.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (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:

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

series155.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (log1p a))
48.0ms	(cbrt (log1p a))
52.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))) (cbrt (log1p a))))

simplify102.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	227	735
1	708	658
2	3152	598
3	5003	598

prune320.0ms

Pruning

42 alts after pruning (41 fresh and 1 done)

Merged error: 29.5b

regimes903.0ms

Accuracy

0% (1.8b remaining)

Error of 33.4b against oracle of 31.6b and baseline of 33.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	34
1	23	34

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.9s	7794×	body	10240	exit
1.0s	2224×	body	1280	valid
355.0ms	1609×	body	640	valid
151.0ms	5238×	body	80	nan
151.0ms	135×	body	2560	valid
115.0ms	2839×	body	80	valid
103.0ms	777×	body	320	valid
39.0ms	409×	body	160	valid
11.0ms	7×	body	5120	valid