Details

sample557.0ms

Algorithm

intervals

Results

419.0ms	242×	body	10240	exit
53.0ms	75×	body	1280	valid
17.0ms	42×	body	640	valid
11.0ms	6×	body	2560	valid
8.0ms	147×	body	80	nan
7.0ms	94×	body	80	valid
6.0ms	23×	body	320	valid
3.0ms	16×	body	160	valid

simplify11.5s

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.0b

localize21.0ms

Local error

Found 1 expressions with local error:

37.4b

(fmod (cosh c) (log1p a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(fmod (cosh c) (log1p a))

simplify2.4s

Counts: 10 → 10

prune60.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.5b	(exp (log (fmod (cosh c) (log1p a))))
0.6b	(log (fmod (cosh c) (log1p a)))
37.4b	(fmod (cosh c) (log1p a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

6.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series53.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(exp (log (fmod (cosh c) (log1p a))))
43.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify958.0ms

Counts: 43 → 43

prune210.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 32.9b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(log (fmod (cosh c) (log1p a)))
37.4b	(fmod (cosh c) (log1p a))
37.4b	(fmod (cosh c) (log1p a))
37.4b	(fmod (cosh c) (log1p a))

rewrite5.0ms

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:

2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series43.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify1.0s

Counts: 45 → 45

prune296.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 32.9b

localize31.0ms

Local error

Found 4 expressions with local error:

37.4b	(fmod (cosh c) (log1p a))
37.4b	(fmod (cosh c) (log1p a))
37.4b	(fmod (cosh c) (log1p a))
37.4b	(fmod (cosh c) (log1p a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 28

Calls

4 calls:

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

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh c) (log1p a))
9.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

simplify2.3s

Counts: 40 → 40

prune271.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 32.9b

regimes525.0ms

Accuracy

0.5% (0.0b remaining)

Error of 34.3b against oracle of 34.2b and baseline of 34.3b

bsearch0.0ms

simplify682.0ms

end0.0ms

sample17.3s

Algorithm

intervals

Results

12.5s	7741×	body	10240	exit
1.9s	2285×	body	1280	valid
917.0ms	1593×	body	640	valid
431.0ms	5227×	body	80	nan
253.0ms	148×	body	2560	valid
182.0ms	2762×	body	80	valid
160.0ms	789×	body	320	valid
104.0ms	417×	body	160	valid
12.0ms	6×	body	5120	valid