Details

sample327.0ms

Algorithm

intervals

Results

245.0ms	246×	body	10240	exit
31.0ms	67×	body	1280	valid
13.0ms	46×	body	640	valid
5.0ms	173×	body	80	nan
5.0ms	4×	body	2560	valid
4.0ms	100×	body	80	valid
3.0ms	25×	body	320	valid
1.0ms	14×	body	160	valid

simplify217.0ms

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

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

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 (2.0ms)

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

prune64.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 30.7b

localize11.0ms

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))))

rewrite2.0ms

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))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt (log1p a))
101.0ms	(cbrt (log1p a))
102.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify90.0ms

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

prune200.0ms

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 (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

rewrite2.0ms

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 (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (log1p a))
105.0ms	(cbrt (log1p a))
100.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify160.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	50	361
1	114	309
2	281	303
3	982	303
4	4771	303
5	5001	303

prune267.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 29.7b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `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 → 36

Calls

4 calls:

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

series214.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (log1p a))
107.0ms	(cbrt (log1p a))
3.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))
3.0ms	(fmod (cosh c) (* (* (* (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))) (cbrt (cbrt (log1p a)))) (cbrt (log1p a))) (cbrt (log1p a))))

simplify160.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	50	506
1	114	422
2	281	418
3	982	418
4	4771	418
5	5001	418

prune203.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 29.4b

regimes865.0ms

Accuracy

0% (1.9b remaining)

Error of 33.4b against oracle of 31.5b and baseline of 33.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	48
1	25	48

end0.0ms

sample10.3s

Algorithm

intervals

Results

7.9s	7794×	body	10240	exit
1.0s	2224×	body	1280	valid
352.0ms	1609×	body	640	valid
155.0ms	5238×	body	80	nan
148.0ms	135×	body	2560	valid
124.0ms	2839×	body	80	valid
101.0ms	777×	body	320	valid
40.0ms	409×	body	160	valid
11.0ms	7×	body	5120	valid