Details

sample1.3s

Algorithm

intervals

Results

774.0ms	291×	body	10240	exit
279.0ms	104×	body	2560	valid
83.0ms	72×	body	1280	valid
40.0ms	523×	body	80	nan
22.0ms	37×	body	640	valid
10.0ms	24×	body	320	valid
5.0ms	15×	body	160	valid
4.0ms	1×	body	5120	nan
1.0ms	4×	body	80	valid
0.0ms	1×	body	640	nan

simplify135.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
3.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.1b	(fmod (cosh a) (* a a))

rewrite15.0ms

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))

series188.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
16.0ms	(fmod (cosh a) (* a a))

simplify56.0ms

Counts: 41 → 41

prune202.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
3.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.7b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(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:

6.0ms	(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))

series187.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
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))

simplify59.0ms

Counts: 63 → 63

prune320.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 59.4b

localize24.0ms

Local error

Found 4 expressions with local error:

10.1b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (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))

rewrite5.0ms

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×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 35

Calls

4 calls:

3.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (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))

series248.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify53.0ms

Counts: 47 → 47

prune359.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 59.4b

localize40.0ms

Local error

Found 4 expressions with local error:

59.1b	(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))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series20.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))
6.0ms	(fmod (cosh a) (* a a))

simplify204.0ms

Counts: 40 → 40

prune353.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 59.4b

regimes282.0ms

Accuracy

0% (0.3b remaining)

Error of 60.2b against oracle of 59.9b and baseline of 60.2b

bsearch0.0ms

simplify105.0ms

end0.0ms

sample33.6s

Algorithm

intervals

Results

20.3s	7698×	body	10240	exit
6.8s	3195×	body	2560	valid
2.6s	2459×	body	1280	valid
1.7s	15797×	body	80	nan
775.0ms	1254×	body	640	valid
256.0ms	656×	body	320	valid
91.0ms	330×	body	160	valid
47.0ms	6×	body	640	nan
27.0ms	12×	body	5120	nan
14.0ms	106×	body	80	valid
12.0ms	10×	body	2560	nan
6.0ms	9×	body	1280	nan
6.0ms	14×	body	320	nan
2.0ms	10×	body	160	nan