Details

sample400.0ms

Algorithm

intervals

Results

299.0ms	280×	body	10240	exit
44.0ms	82×	body	1280	valid
13.0ms	47×	body	640	valid
9.0ms	195×	body	80	nan
7.0ms	91×	body	80	valid
4.0ms	4×	body	2560	valid
3.0ms	20×	body	320	valid
2.0ms	12×	body	160	valid

simplify224.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(log1p a)
38.5b	(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))

series27.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(log1p a)
2.0ms	(fmod (cosh c) (log1p a))

simplify197.0ms

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

prune82.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 32.9b

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))
38.5b	(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))))

series155.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(cbrt (log1p a))
49.0ms	(cbrt (log1p a))
52.0ms	(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

prune285.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 32.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.7b	(cbrt (cbrt (log1p a)))
38.5b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
8×	`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 → 51

Calls

4 calls:

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

series155.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(cbrt (log1p a))
54.0ms	(cbrt (log1p a))
49.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify39.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	381	681
1	1280	618
2	5001	566

prune403.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 31.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (log1p a)))
0.7b	(cbrt (cbrt (log1p a)))
38.5b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))
38.5b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
8×	`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`
2×	`pow1/3`

Counts

4 → 50

Calls

4 calls:

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

series108.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt (cbrt (log1p a)))
49.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))))

simplify86.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	222	826
1	636	732
2	2820	702
3	5001	702

prune351.0ms

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 31.4b

regimes925.0ms

Accuracy

0% (2.1b remaining)

Error of 34.5b against oracle of 32.4b and baseline of 34.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	15	39

end0.0ms

sample11.6s

Algorithm

intervals

Results

8.7s	8103×	body	10240	exit
1.1s	2282×	body	1280	valid
433.0ms	1648×	body	640	valid
250.0ms	5198×	body	80	nan
196.0ms	2664×	body	80	valid
174.0ms	153×	body	2560	valid
137.0ms	830×	body	320	valid
57.0ms	415×	body	160	valid
13.0ms	8×	body	5120	valid