Details

sample1.4s

Algorithm

intervals

Results

746.0ms	276×	body	10240	exit
315.0ms	103×	body	2560	valid
97.0ms	86×	body	1280	valid
77.0ms	528×	body	80	nan
23.0ms	39×	body	640	valid
7.0ms	19×	body	320	valid
2.0ms	6×	body	160	valid
1.0ms	1×	body	640	nan
0.0ms	3×	body	80	valid

simplify2.3s

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.8b	(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))

series202.0ms

Counts

3 → 9

Calls

3 calls:

178.0ms	(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

prune215.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.8b	(log (exp (fmod (cosh a) (* a a))))
59.8b	(fmod (cosh a) (* a a))

rewrite14.0ms

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:

7.0ms	(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))

series215.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(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

prune319.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.4b

localize30.0ms

Local error

Found 4 expressions with local error:

9.8b	(log (exp (fmod (cosh a) (* a a))))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(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))

simplify787.0ms

Counts: 48 → 48

prune338.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 60.4b

localize31.0ms

Local error

Found 4 expressions with local error:

9.8b	(log (exp (fmod (cosh a) (* a a))))
59.8b	(fmod (cosh a) (* a a))
59.8b	(fmod (cosh a) (* a a))
59.8b	(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))

series12.0ms

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))

simplify804.0ms

Counts: 48 → 48

prune300.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 60.4b

regimes333.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify2.4s

end0.0ms

sample35.2s

Algorithm

intervals

Results

19.7s	7913×	body	10240	exit
7.8s	3236×	body	2560	valid
3.0s	16135×	body	80	nan
2.6s	2471×	body	1280	valid
747.0ms	1242×	body	640	valid
241.0ms	613×	body	320	valid
91.0ms	327×	body	160	valid
15.0ms	111×	body	80	valid
15.0ms	4×	body	5120	nan
13.0ms	10×	body	2560	nan
7.0ms	8×	body	1280	nan
4.0ms	12×	body	320	nan
4.0ms	8×	body	640	nan
3.0ms	14×	body	160	nan