Details

sample402.0ms

Algorithm

intervals

Results

302.0ms	280×	body	10240	exit
41.0ms	82×	body	1280	valid
12.0ms	47×	body	640	valid
10.0ms	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

simplify218.0ms

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	43	3
7	64	3
8	154	3
9	1044	3
10	5001	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.0b

localize6.0ms

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

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

2 → 14

Calls

2 calls:

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

series3.0ms

Counts

2 → 6

Calls

2 calls:

1.0ms	(log1p a)
2.0ms	(fmod (cosh c) (log1p a))

simplify107.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	72
1	33	62
2	40	62
3	50	62
4	79	62
5	158	62
6	702	62
7	2342	62
8	5001	62

prune68.0ms

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` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`

Counts

4 → 40

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))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (log1p a))
100.0ms	(cbrt (log1p a))
103.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify86.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	41	281
1	73	245
2	152	239
3	486	232
4	2446	232
5	5001	232

prune198.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 32.1b

localize14.0ms

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` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`

Counts

4 → 43

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))))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (log1p a))
102.0ms	(cbrt (log1p a))
104.0ms	(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))))))

simplify50.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	66	401
1	125	347
2	287	341
3	1126	341
4	5001	341

prune302.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 31.6b

localize19.0ms

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` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3`

Counts

4 → 42

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))))))

series209.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (cbrt (log1p a)))
101.0ms	(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))))))

simplify128.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 6 (118.0ms)

Iter	Nodes	Cost
0	57	586
1	82	498
2	124	494
3	308	494
4	1107	494
5	3703	492
6	5002	486

prune220.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 31.4b

regimes910.0ms

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

sample11.7s

Algorithm

intervals

Results

8.8s	8103×	body	10240	exit
1.1s	2282×	body	1280	valid
436.0ms	1648×	body	640	valid
258.0ms	5198×	body	80	nan
195.0ms	2664×	body	80	valid
175.0ms	153×	body	2560	valid
142.0ms	830×	body	320	valid
58.0ms	415×	body	160	valid
13.0ms	8×	body	5120	valid