Details

sample367.0ms

Algorithm

intervals

Results

240.0ms	235×	body	10240	exit
39.0ms	80×	body	1280	valid
31.0ms	96×	body	80	valid
10.0ms	41×	body	640	valid
10.0ms	10×	body	2560	valid
5.0ms	143×	body	80	nan
3.0ms	23×	body	320	valid
2.0ms	1×	body	5120	valid
0.0ms	5×	body	160	valid

simplify207.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
37.6b	(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:

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

series51.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(cosh c)
3.0ms	(fmod (cosh c) (log1p a))

simplify125.0ms

Counts: 21 → 21

prune373.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.3b	(exp (log (fmod (cosh c) (log1p a))))
0.5b	(log (fmod (cosh c) (log1p a)))
37.6b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

1.0ms	(cosh c)
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series83.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cosh c)
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
22.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify145.0ms

Counts: 54 → 54

prune179.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 32.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.4b	(pow E (log (fmod (cosh c) (log1p a))))
0.5b	(log (fmod (cosh c) (log1p a)))
37.6b	(fmod (cosh c) (log1p a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `log-prod`
4×	`pow-unpow` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-up` `unpow-prod-down`
2×	`pow-exp` `log-pow`
1×	`pow-to-exp` `e-exp-1` `cosh-def` `pow-pow` `rem-log-exp` `sqr-pow`

Counts

4 → 49

Calls

4 calls:

7.0ms	(cosh c)
4.0ms	(pow E (log (fmod (cosh c) (log1p a))))
1.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series123.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cosh c)
48.0ms	(pow E (log (fmod (cosh c) (log1p a))))
21.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify57.0ms

Counts: 61 → 61

prune235.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 32.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(log (cbrt (fmod (cosh c) (log1p a))))
0.6b	(log (cbrt (fmod (cosh c) (log1p a))))
37.6b	(fmod (cosh c) (log1p a))
37.6b	(fmod (cosh c) (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-prod`
4×	`log-pow` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3` `rem-log-exp`

Counts

4 → 46

Calls

4 calls:

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

series147.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
65.0ms	(log (cbrt (fmod (cosh c) (log1p a))))
10.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify40.0ms

Counts: 58 → 58

prune235.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 32.8b

regimes471.0ms

Accuracy

0% (0.1b remaining)

Error of 33.9b against oracle of 33.8b and baseline of 33.9b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample13.4s

Algorithm

intervals

Results

9.8s	7981×	body	10240	exit
1.2s	2222×	body	1280	valid
601.0ms	5438×	body	80	nan
561.0ms	1615×	body	640	valid
188.0ms	162×	body	2560	valid
149.0ms	2818×	body	80	valid
122.0ms	777×	body	320	valid
73.0ms	395×	body	160	valid
20.0ms	11×	body	5120	valid