Details

sample1.5s

Algorithm

intervals

Results

748.0ms	252×	body	10240	exit
283.0ms	105×	body	2560	valid
154.0ms	89×	body	1280	valid
92.0ms	500×	body	80	nan
53.0ms	27×	body	640	valid
13.0ms	21×	body	320	valid
5.0ms	13×	body	160	valid
3.0ms	1×	body	5120	nan
1.0ms	2×	body	320	nan
0.0ms	1×	body	80	valid

simplify2.0s

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize48.0ms

Local error

Found 2 expressions with local error:

60.1b	(fmod (cosh a) (* a a))
2.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 21

Calls

2 calls:

Slowest

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

series19.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

15.0ms	(fmod (cosh a) (* a a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify1.7s

Counts: 27 → 27

prune397.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.5b

localize54.0ms

Local error

Found 3 expressions with local error:

60.1b	(fmod (cosh a) (* a a))
12.3b	(log (exp (fmod (cosh a) (* a a))))
2.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-pow`
3×	`expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 39

Calls

3 calls:

Slowest

4.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series11.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

5.0ms	(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))

simplify2.9s

Counts: 48 → 48

prune678.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.5b

localize47.0ms

Local error

Found 4 expressions with local error:

60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.8b	(log (sqrt (exp (fmod (cosh a) (* a a)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 66

Calls

4 calls:

Slowest

3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series360.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

195.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
159.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.1s

Counts: 78 → 78

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.5b

localize46.0ms

Local error

Found 4 expressions with local error:

60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
60.1b	(fmod (cosh a) (* a a))
12.3b	(log (exp (fmod (cosh a) (* a a))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 48

Calls

4 calls:

Slowest

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

series13.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

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

simplify659.0ms

Counts: 60 → 60

prune942.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.5b

regimes379.0ms

Accuracy

0% (0.5b remaining)

Error of 59.6b against oracle of 59.1b and baseline of 59.6b

bsearch2.0ms

end0.0ms

sample35.0s

Algorithm

intervals

Results

19.4s	7841×	body	10240	exit
7.3s	3193×	body	2560	valid
3.6s	2486×	body	1280	valid
2.4s	16059×	body	80	nan
983.0ms	1248×	body	640	valid
775.0ms	644×	body	320	valid
113.0ms	318×	body	160	valid
19.0ms	111×	body	80	valid
18.0ms	11×	body	2560	nan
18.0ms	7×	body	5120	nan
10.0ms	11×	body	1280	nan
5.0ms	10×	body	320	nan
3.0ms	5×	body	640	nan
1.0ms	3×	body	160	nan