Details

sample933.0ms

Algorithm

intervals

Results

529.0ms	266×	body	10240	exit
217.0ms	114×	body	2560	valid
62.0ms	76×	body	1280	valid
24.0ms	446×	body	80	nan
18.0ms	42×	body	640	valid
4.0ms	12×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	6×	body	80	valid
1.0ms	1×	body	1280	nan
0.0ms	1×	body	320	nan

simplify38.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize14.0ms

Local error

Found 2 expressions with local error:

1.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.1b	(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

prune98.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.0b

localize18.0ms

Local error

Found 3 expressions with local error:

1.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.4b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(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))

simplify106.0ms

Counts: 39 → 39

prune156.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 60.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.9b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.9b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `sqrt-pow1`
6×	`add-exp-log` `exp-prod` `sqrt-prod`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 54

Calls

4 calls:

4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series264.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
128.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
8.0ms	(fmod (cosh a) (* a a))

simplify81.0ms

Counts: 66 → 66

prune317.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 60.0b

localize27.0ms

Local error

Found 4 expressions with local error:

10.4b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
59.1b	(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))

simplify80.0ms

Counts: 48 → 48

prune235.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 60.0b

regimes223.0ms

Accuracy

0% (0.5b remaining)

Error of 60.3b against oracle of 59.8b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

end0.0ms

sample28.4s

Algorithm

intervals

Results

16.2s	8090×	body	10240	exit
5.5s	3188×	body	2560	valid
2.4s	2466×	body	1280	valid
2.1s	16223×	body	80	nan
901.0ms	1268×	body	640	valid
193.0ms	629×	body	320	valid
72.0ms	329×	body	160	valid
17.0ms	7×	body	5120	nan
13.0ms	120×	body	80	valid
6.0ms	5×	body	2560	nan
5.0ms	8×	body	1280	nan
3.0ms	10×	body	320	nan
1.0ms	7×	body	160	nan
0.0ms	1×	body	640	nan