Details

sample883.0ms

Algorithm

intervals

Results

452.0ms	247×	body	10240	exit
191.0ms	113×	body	2560	valid
83.0ms	67×	body	1280	valid
43.0ms	25×	body	320	valid
27.0ms	431×	body	80	nan
17.0ms	38×	body	640	valid
2.0ms	8×	body	160	valid
1.0ms	5×	body	80	valid

simplify37.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize13.0ms

Local error

Found 2 expressions with local error:

2.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(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:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify79.0ms

Counts: 21 → 21

prune91.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.9b

localize20.0ms

Local error

Found 3 expressions with local error:

2.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.2b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))

rewrite5.0ms

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

series9.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(acos (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))

simplify105.0ms

Counts: 39 → 39

prune152.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0b	(- (/ PI 2) (asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
13.2b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(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))

series46.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(asin (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
36.0ms	(- (/ 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))

simplify135.0ms

Counts: 58 → 58

prune237.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.9b

localize28.0ms

Local error

Found 4 expressions with local error:

13.2b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

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

series11.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify76.0ms

Counts: 48 → 48

prune257.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.9b

regimes236.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample28.0s

Algorithm

intervals

Results

16.7s	7934×	body	10240	exit
6.2s	3203×	body	2560	valid
2.2s	2565×	body	1280	valid
1.2s	15728×	body	80	nan
595.0ms	1194×	body	640	valid
193.0ms	623×	body	320	valid
69.0ms	312×	body	160	valid
37.0ms	17×	body	5120	nan
12.0ms	103×	body	80	valid
10.0ms	10×	body	2560	nan
7.0ms	12×	body	1280	nan
3.0ms	12×	body	320	nan
3.0ms	8×	body	640	nan
1.0ms	8×	body	160	nan