Details

sample1.5s

Algorithm

intervals

Results

877.0ms	284×	body	10240	exit
271.0ms	103×	body	2560	valid
88.0ms	68×	body	1280	valid
76.0ms	44×	body	640	valid
49.0ms	583×	body	80	nan
12.0ms	23×	body	320	valid
5.0ms	11×	body	160	valid
1.0ms	7×	body	80	valid
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

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh a)
3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.4b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `cosh-def`

Counts

3 → 23

Calls

3 calls:

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

series128.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(cosh a)
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
18.0ms	(fmod (cosh a) (* a a))

simplify618.0ms

Counts: 32 → 32

prune258.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 59.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh a)
3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.9b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))

rewrite6.0ms

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×	`acos-asin` `cosh-def` `rem-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cosh 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))

series84.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cosh 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))

simplify781.0ms

Counts: 50 → 50

prune261.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.4b

localize33.0ms

Local error

Found 4 expressions with local error:

3.1b	(acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
10.9b	(log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

3.0ms	(acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
6.0ms	(log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series20.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
5.0ms	(log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify1.2s

Counts: 48 → 48

prune267.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.4b

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b	(acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
10.9b	(log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

17.0ms	(acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
6.0ms	(log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series23.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(acos (pow (log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
6.0ms	(log (exp (* (sqrt (fmod (cosh a) (* a a))) (sqrt (fmod (cosh a) (* a a))))))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify1.1s

Counts: 48 → 48

prune220.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.4b

regimes317.0ms

Accuracy

0% (0.4b remaining)

Error of 60.0b against oracle of 59.6b and baseline of 60.0b

bsearch0.0ms

simplify681.0ms

end0.0ms

sample34.8s

Algorithm

intervals

Results

19.7s	7890×	body	10240	exit
7.2s	3103×	body	2560	valid
3.4s	2576×	body	1280	valid
2.2s	16087×	body	80	nan
807.0ms	1184×	body	640	valid
261.0ms	662×	body	320	valid
97.0ms	335×	body	160	valid
36.0ms	13×	body	5120	nan
20.0ms	140×	body	80	valid
14.0ms	9×	body	2560	nan
6.0ms	7×	body	1280	nan
5.0ms	9×	body	640	nan
3.0ms	8×	body	320	nan
2.0ms	9×	body	160	nan