Details

sample1.1s

Algorithm

intervals

Results

593.0ms	232×	body	10240	exit
226.0ms	106×	body	2560	valid
71.0ms	73×	body	1280	valid
38.0ms	514×	body	80	nan
21.0ms	41×	body	640	valid
8.0ms	20×	body	320	valid
3.0ms	9×	body	160	valid
1.0ms	7×	body	80	valid
0.0ms	1×	body	320	nan
0.0ms	1×	body	160	nan

simplify2.4s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.2b	(fmod (cosh a) (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

7.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series192.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
16.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts: 41 → 41

prune230.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.5b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

10.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series196.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts: 63 → 63

prune301.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.3b

localize27.0ms

Local error

Found 4 expressions with local error:

10.5b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))

rewrite4.0ms

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))

simplify784.0ms

Counts: 48 → 48

prune375.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.3b

localize46.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))
1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.5b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))

rewrite19.0ms

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×	`acos-asin` `rem-log-exp`
1×	`log-div` `exp-diff`

Counts

4 → 46

Calls

4 calls:

8.0ms	(log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series25.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(log (exp (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))))
7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify1.3s

Counts: 58 → 58

prune352.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.3b

regimes171.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify2.3s

end0.0ms

sample37.1s

Algorithm

intervals

Results

21.7s	7969×	body	10240	exit
8.4s	3144×	body	2560	valid
2.8s	2482×	body	1280	valid
1.3s	15869×	body	80	nan
893.0ms	1253×	body	640	valid
827.0ms	671×	body	320	valid
133.0ms	338×	body	160	valid
18.0ms	7×	body	5120	nan
16.0ms	112×	body	80	valid
10.0ms	12×	body	1280	nan
8.0ms	6×	body	2560	nan
4.0ms	7×	body	640	nan
2.0ms	7×	body	160	nan
1.0ms	4×	body	320	nan