Details

sample932.0ms

Algorithm

intervals

Results

407.0ms	229×	body	10240	exit
159.0ms	97×	body	2560	valid
63.0ms	84×	body	1280	valid
21.0ms	510×	body	80	nan
14.0ms	36×	body	640	valid
8.0ms	29×	body	320	valid
1.0ms	5×	body	160	valid
0.0ms	5×	body	80	valid

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	16	10
2	24	10
3	44	10
4	87	10
5	191	10
6	706	10
7	2867	10
done	5001	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize11.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(fmod (cosh a) (* a a))

rewrite3.0ms

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))

series19.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

21 → 21

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	29	241
1	45	241
2	63	209
3	124	209
4	339	209
5	1356	209
done	5001	209

prune76.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.8b

localize12.0ms

Local error

Found 3 expressions with local error:

1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.3b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(fmod (cosh a) (* a a))

rewrite3.0ms

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:

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

series7.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify1.8s

Counts

39 → 39

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	51	463
1	73	410
2	99	359
3	171	359
4	475	359
5	1929	359
done	5000	359

prune144.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.8b

localize14.0ms

Local error

Found 4 expressions with local error:

2.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.1b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))

rewrite5.0ms

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:

2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series222.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
112.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.9s

Counts

66 → 66

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	49	782
1	66	734
2	87	658
3	138	658
4	359	658
5	1420	658
done	5000	658

prune294.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 59.8b

localize24.0ms

Local error

Found 4 expressions with local error:

2.2b	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

2.0ms	(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))

series213.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

54 → 54

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	55	635
1	70	615
2	84	550
3	125	550
4	297	550
5	1156	550
done	5000	550

prune274.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.7b

regimes229.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
done	9	12

end0.0ms

sample22.7s

Algorithm

intervals

Results

13.9s	8024×	body	10240	exit
5.0s	3148×	body	2560	valid
1.8s	2522×	body	1280	valid
673.0ms	16165×	body	80	nan
469.0ms	1226×	body	640	valid
174.0ms	652×	body	320	valid
60.0ms	320×	body	160	valid
14.0ms	7×	body	5120	nan
13.0ms	132×	body	80	valid
9.0ms	10×	body	2560	nan
4.0ms	7×	body	1280	nan
2.0ms	5×	body	640	nan
1.0ms	5×	body	320	nan
1.0ms	5×	body	160	nan