Details

sample1.8s

Algorithm

intervals

Results

963.0ms	252×	body	10240	exit
341.0ms	105×	body	2560	valid
151.0ms	89×	body	1280	valid
145.0ms	500×	body	80	nan
32.0ms	27×	body	640	valid
17.0ms	21×	body	320	valid
8.0ms	13×	body	160	valid
4.0ms	1×	body	5120	nan
2.0ms	2×	body	320	nan
0.0ms	1×	body	80	valid

simplify1.3s

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize50.0ms

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)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 17

Calls

2 calls:

Slowest

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

series21.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

15.0ms	(fmod (cosh a) (* a a))
5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify2.2s

Counts: 23 → 23

prune346.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.5b

localize29.0ms

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)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 33

Calls

3 calls:

Slowest

2.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series6.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

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

simplify2.8s

Counts: 42 → 42

prune589.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.5b

localize52.0ms

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×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 58

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))

series254.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
116.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify748.0ms

Counts: 70 → 70

prune970.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.5b

localize79.0ms

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))
3.9b	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `sqrt-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `log-pow` `insert-posit16` `add-log-exp`
3×	`cbrt-prod`
2×	`sqrt-pow1`
1×	`pow1/2` `pow1/3` `rem-log-exp`

Counts

4 → 46

Calls

4 calls:

Slowest

6.0ms	(log (sqrt (cbrt (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))

series275.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

265.0ms	(log (sqrt (cbrt (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))

simplify4.1s

Counts: 58 → 58

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.4b

regimes375.0ms

Accuracy

0% (0.5b remaining)

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

bsearch4.0ms

end0.0ms

sample33.4s

Algorithm

intervals

Results

19.6s	7841×	body	10240	exit
7.1s	3193×	body	2560	valid
2.9s	2486×	body	1280	valid
1.9s	16059×	body	80	nan
930.0ms	1248×	body	640	valid
307.0ms	644×	body	320	valid
143.0ms	318×	body	160	valid
19.0ms	7×	body	5120	nan
18.0ms	111×	body	80	valid
15.0ms	11×	body	2560	nan
10.0ms	11×	body	1280	nan
4.0ms	10×	body	320	nan
3.0ms	5×	body	640	nan
1.0ms	3×	body	160	nan