Details

sample1.3s

Algorithm

intervals

Results

744.0ms	260×	body	10240	exit
231.0ms	96×	body	2560	valid
90.0ms	84×	body	1280	valid
46.0ms	583×	body	80	nan
19.0ms	32×	body	640	valid
12.0ms	25×	body	320	valid
5.0ms	16×	body	160	valid
0.0ms	3×	body	80	valid
0.0ms	1×	body	160	nan

simplify122.0ms

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize21.0ms

Local error

Found 2 expressions with local error:

2.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite4.0ms

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×	`acos-asin`

Counts

2 → 15

Calls

2 calls:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms	(fmod (cosh a) (* a a))

simplify134.0ms

Counts: 21 → 21

prune134.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.7b

localize21.0ms

Local error

Found 3 expressions with local error:

2.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.6b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 30

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series14.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify59.0ms

Counts: 39 → 39

prune180.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.9b	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
1.6b	(- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
10.6b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `log-pow` `add-cbrt-cube`
3×	`log-prod` `exp-prod`
2×	`asin-acos` `difference-of-squares`
1×	`sub-neg` `flip3--` `times-frac` `diff-log` `rem-log-exp` `flip--` `distribute-lft-out--` `associate--r-`

Counts

4 → 46

Calls

4 calls:

1.0ms	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
23.0ms	(- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series45.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
35.0ms	(- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify78.0ms

Counts: 58 → 58

prune388.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.7b

localize42.0ms

Local error

Found 4 expressions with local error:

10.6b	(log (exp (fmod (cosh a) (* a a))))
10.6b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series14.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify78.0ms

Counts: 56 → 56

prune409.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 59.7b

regimes323.0ms

Accuracy

0% (0.4b remaining)

Error of 60.4b against oracle of 60.0b and baseline of 60.4b

bsearch0.0ms

simplify67.0ms

end0.0ms

sample35.9s

Algorithm

intervals

Results

20.9s	8089×	body	10240	exit
7.2s	3210×	body	2560	valid
3.0s	2564×	body	1280	valid
2.5s	16192×	body	80	nan
748.0ms	1198×	body	640	valid
249.0ms	628×	body	320	valid
126.0ms	297×	body	160	valid
24.0ms	8×	body	5120	nan
15.0ms	103×	body	80	valid
11.0ms	9×	body	2560	nan
6.0ms	8×	body	1280	nan
5.0ms	8×	body	640	nan
2.0ms	6×	body	320	nan
1.0ms	7×	body	160	nan