Details

sample500.0ms

Algorithm

intervals

Results

324.0ms	227×	body	10240	exit
62.0ms	8×	body	2560	valid
45.0ms	70×	body	1280	valid
15.0ms	43×	body	640	valid
7.0ms	144×	body	80	nan
6.0ms	29×	body	320	valid
6.0ms	91×	body	80	valid
2.0ms	15×	body	160	valid

simplify11.2s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.5b

localize9.0ms

Local error

Found 1 expressions with local error:

38.1b

(fmod (cosh c) (log1p a))

rewrite2.0ms

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))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(fmod (cosh c) (log1p a))

simplify2.3s

Counts: 10 → 10

prune53.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 33.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.4b	(log (fmod (cosh c) (log1p a)))
0.6b	(exp (log (fmod (cosh c) (log1p a))))
38.1b	(fmod (cosh c) (log1p a))

rewrite13.0ms

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:

2.0ms	(log (fmod (cosh c) (log1p a)))
9.0ms	(exp (log (fmod (cosh c) (log1p a))))
1.0ms	(fmod (cosh c) (log1p a))

series67.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(log (fmod (cosh c) (log1p a)))
6.0ms	(exp (log (fmod (cosh c) (log1p a))))
6.0ms	(fmod (cosh c) (log1p a))

simplify876.0ms

Counts: 43 → 43

prune150.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 33.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
38.1b	(fmod (cosh c) (log1p a))
38.1b	(fmod (cosh c) (log1p a))
38.1b	(fmod (cosh c) (log1p a))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 31

Calls

4 calls:

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

series19.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
3.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify827.0ms

Counts: 43 → 43

prune234.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 33.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
38.1b	(fmod (cosh c) (log1p a))
38.1b	(fmod (cosh c) (log1p a))
38.1b	(fmod (cosh c) (log1p a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `pow-unpow` `*-un-lft-identity`
6×	`pow1`
5×	`add-log-exp`
4×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
3×	`unpow-prod-down` `pow-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `pow-exp` `log-pow` `sqr-pow`

Counts

4 → 44

Calls

4 calls:

16.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (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))

series237.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (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))

simplify1.2s

Counts: 56 → 56

prune267.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 33.5b

regimes559.0ms

Accuracy

0% (0.0b remaining)

Error of 34.2b against oracle of 34.1b and baseline of 34.2b

bsearch0.0ms

simplify635.0ms

end0.0ms

sample18.5s

Algorithm

intervals

Results

13.2s	7764×	body	10240	exit
2.1s	2222×	body	1280	valid
1.1s	1649×	body	640	valid
310.0ms	5280×	body	80	nan
290.0ms	2771×	body	80	valid
285.0ms	159×	body	2560	valid
166.0ms	782×	body	320	valid
103.0ms	408×	body	160	valid
18.0ms	9×	body	5120	valid