Details

sample1.6s

Algorithm

intervals

Results

946.0ms	247×	body	10240	exit
246.0ms	111×	body	2560	valid
119.0ms	80×	body	1280	valid
72.0ms	493×	body	80	nan
24.0ms	39×	body	640	valid
6.0ms	12×	body	320	valid
3.0ms	10×	body	160	valid
1.0ms	4×	body	80	valid

simplify3.4s

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	89	10
5	195	10
6	633	10
7	2582	10
done	5000	10

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize27.0ms

Local error

Found 2 expressions with local error:

1.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite7.0ms

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:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
18.0ms	(fmod (cosh a) (* a a))

simplify3.3s

Counts

21 → 21

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	29	241
1	43	241
2	61	209
3	90	209
4	148	209
5	288	209
6	765	209
7	2920	209
done	5000	209

prune115.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.1b

localize21.0ms

Local error

Found 3 expressions with local error:

1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.9b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))

rewrite12.0ms

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)))
9.0ms	(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))

simplify4.2s

Counts

39 → 39

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	51	463
1	70	410
2	92	359
3	130	359
4	211	359
5	428	359
6	1103	359
7	4017	359
done	5000	359

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.1b

localize33.0ms

Local error

Found 4 expressions with local error:

2.6b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.6b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite11.0ms

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:

5.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series416.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
227.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify1.8s

Counts

66 → 66

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	49	782
1	66	734
2	83	658
3	103	658
4	143	658
5	252	658
6	533	658
7	1583	658
done	5001	658

prune404.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.1b

localize31.0ms

Local error

Found 4 expressions with local error:

1.6b	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
59.9b	(fmod (cosh a) (pow a 2))
59.9b	(fmod (cosh a) (pow a 2))
59.9b	(fmod (cosh a) (pow a 2))

rewrite4.0ms

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`
1×	`acos-asin`

Counts

4 → 29

Calls

4 calls:

2.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))
1.0ms	(fmod (cosh a) (pow a 2))

series21.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
5.0ms	(fmod (cosh a) (pow a 2))
5.0ms	(fmod (cosh a) (pow a 2))
5.0ms	(fmod (cosh a) (pow a 2))

simplify3.0s

Counts

41 → 41

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	25	417
1	40	417
2	58	361
3	87	361
4	145	361
5	278	361
6	772	361
7	2907	361
done	5001	361

prune220.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 60.1b

regimes227.0ms

Accuracy

0% (0.5b remaining)

Error of 60.3b against oracle of 59.9b and baseline of 60.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	23
done	11	23

end0.0ms

sample36.6s

Algorithm

intervals

Results

21.6s	7851×	body	10240	exit
7.4s	3174×	body	2560	valid
2.9s	2491×	body	1280	valid
2.3s	15680×	body	80	nan
844.0ms	1254×	body	640	valid
338.0ms	636×	body	320	valid
102.0ms	337×	body	160	valid
73.0ms	10×	body	5120	nan
17.0ms	108×	body	80	valid
7.0ms	7×	body	1280	nan
5.0ms	4×	body	2560	nan
3.0ms	6×	body	640	nan
3.0ms	10×	body	320	nan
2.0ms	10×	body	160	nan