Details

sample1.6s

Algorithm

intervals

Results

963.0ms	267×	body	10240	exit
300.0ms	92×	body	2560	valid
112.0ms	83×	body	1280	valid
53.0ms	550×	body	80	nan
36.0ms	47×	body	640	valid
10.0ms	19×	body	320	valid
5.0ms	13×	body	160	valid
4.0ms	1×	body	5120	nan
2.0ms	2×	body	1280	nan
0.0ms	2×	body	80	valid

simplify2.3s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite8.0ms

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:

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

series212.0ms

Counts

3 → 9

Calls

3 calls:

195.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts: 41 → 41

prune198.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.4b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))

rewrite11.0ms

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:

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

series179.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
8.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))

simplify1.9s

Counts: 63 → 63

prune313.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize47.0ms

Local error

Found 4 expressions with local error:

13.4b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))

rewrite9.0ms

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:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series20.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify774.0ms

Counts: 48 → 48

prune349.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize38.0ms

Local error

Found 4 expressions with local error:

13.4b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(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

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:

4.0ms	(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))

series15.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify693.0ms

Counts: 48 → 48

prune366.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

regimes313.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify999.0ms

end0.0ms

sample38.6s

Algorithm

intervals

Results

22.4s	7831×	body	10240	exit
8.9s	3111×	body	2560	valid
3.1s	2543×	body	1280	valid
1.7s	15913×	body	80	nan
876.0ms	1272×	body	640	valid
280.0ms	644×	body	320	valid
99.0ms	310×	body	160	valid
29.0ms	9×	body	5120	nan
19.0ms	120×	body	80	valid
8.0ms	9×	body	1280	nan
5.0ms	7×	body	640	nan
3.0ms	10×	body	160	nan
3.0ms	6×	body	320	nan
2.0ms	1×	body	2560	nan