Details

sample1.4s

Algorithm

intervals

Results

892.0ms	246×	body	10240	exit
257.0ms	102×	body	2560	valid
89.0ms	73×	body	1280	valid
49.0ms	521×	body	80	nan
38.0ms	53×	body	640	valid
9.0ms	19×	body	320	valid
3.0ms	7×	body	160	valid
1.0ms	1×	body	1280	nan
1.0ms	1×	body	320	nan
0.0ms	2×	body	80	valid

simplify2.2s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.8b

localize26.0ms

Local error

Found 2 expressions with local error:

1.3b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.3b	(fmod (cosh a) (* a a))

rewrite6.0ms

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:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
13.0ms	(fmod (cosh a) (* a a))

simplify758.0ms

Counts: 21 → 21

prune134.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 60.4b

localize19.0ms

Local error

Found 3 expressions with local error:

1.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.2b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(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))

series10.0ms

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))

simplify990.0ms

Counts: 39 → 39

prune220.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
1.3b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.2b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

2.0ms	(log (acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series115.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(log (acos (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))

simplify1.0s

Counts: 54 → 54

prune314.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.4b

localize37.0ms

Local error

Found 4 expressions with local error:

13.2b	(log (exp (fmod (cosh a) (* a a))))
13.2b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series19.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify673.0ms

Counts: 56 → 56

prune407.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 60.4b

regimes418.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify2.3s

end0.0ms

sample38.5s

Algorithm

intervals

Results

22.4s	7779×	body	10240	exit
8.5s	3157×	body	2560	valid
3.0s	2496×	body	1280	valid
2.1s	15659×	body	80	nan
872.0ms	1242×	body	640	valid
337.0ms	652×	body	320	valid
101.0ms	326×	body	160	valid
21.0ms	127×	body	80	valid
21.0ms	6×	body	5120	nan
13.0ms	10×	body	2560	nan
5.0ms	10×	body	640	nan
5.0ms	7×	body	1280	nan
4.0ms	11×	body	320	nan
1.0ms	5×	body	160	nan