Details

sample356.0ms

Algorithm

intervals

Results

268.0ms	240×	body	10240	exit
29.0ms	61×	body	1280	valid
12.0ms	50×	body	640	valid
7.0ms	6×	body	2560	valid
6.0ms	138×	body	80	nan
5.0ms	99×	body	80	valid
4.0ms	27×	body	320	valid
2.0ms	13×	body	160	valid

simplify208.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
36.3b	(fmod (cosh c) (log1p a))

rewrite2.0ms

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`
1×	`cosh-def`

Counts

2 → 15

Calls

2 calls:

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

series71.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(cosh c)
3.0ms	(fmod (cosh c) (log1p a))

simplify128.0ms

Counts: 21 → 21

prune70.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 32.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cosh c))
0.0b	(cbrt (cosh c))
0.0b	(cbrt (cosh c))
36.3b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

rewrite4.0ms

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×	`cbrt-div` `cosh-def` `pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series487.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt (cosh c))
158.0ms	(cbrt (cosh c))
164.0ms	(cbrt (cosh c))
4.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

simplify137.0ms

Counts: 55 → 55

prune181.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 32.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a)))
36.3b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))
36.3b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))
36.3b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod`
1×	`pow1/3`

Counts

4 → 32

Calls

4 calls:

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

series58.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(cbrt (fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a)))
3.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))
4.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))
4.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))

simplify85.0ms

Counts: 44 → 44

prune243.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 31.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.9b	(log (fmod (cosh c) (log1p a)))
36.3b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))
36.3b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))
36.3b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-cbrt-cube` `add-log-exp`
3×	`log-prod`
1×	`rem-log-exp` `log-pow`

Counts

4 → 33

Calls

4 calls:

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

series32.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))
3.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (cbrt (cosh c))) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify54.0ms

Counts: 45 → 45

prune192.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 31.9b

regimes601.0ms

Accuracy

0% (0.1b remaining)

Error of 34.2b against oracle of 34.2b and baseline of 34.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample13.3s

Algorithm

intervals

Results

9.1s	7945×	body	10240	exit
1.6s	2319×	body	1280	valid
788.0ms	1542×	body	640	valid
474.0ms	2774×	body	80	valid
260.0ms	5298×	body	80	nan
219.0ms	810×	body	320	valid
166.0ms	145×	body	2560	valid
44.0ms	396×	body	160	valid
21.0ms	14×	body	5120	valid