Details

sample1.1s

Algorithm

intervals

Results

467.0ms	255×	body	10240	exit
167.0ms	104×	body	2560	valid
58.0ms	78×	body	1280	valid
25.0ms	513×	body	80	nan
13.0ms	32×	body	640	valid
7.0ms	26×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	1×	body	2560	nan
0.0ms	4×	body	80	valid

simplify1.9s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.9b

localize12.0ms

Local error

Found 2 expressions with local error:

3.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.3b	(fmod (cosh a) (* a a))

rewrite4.0ms

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))

series15.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (13.0ms)

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

prune73.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.6b

localize13.0ms

Local error

Found 3 expressions with local error:

3.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
14.3b	(log (exp (fmod (cosh a) (* a a))))
59.3b	(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))

series12.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(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))

simplify2.7s

Counts

39 → 39

Iterations

Useful iterations: 2 (19.0ms)

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

prune131.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 59.6b

localize18.0ms

Local error

Found 4 expressions with local error:

3.2b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
3.2b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-prod`
4×	`log-pow` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3` `rem-log-exp`

Counts

4 → 46

Calls

4 calls:

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

series428.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
215.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: 5 (50.0ms)

Iter	Nodes	Cost
0	42	702
1	56	688
2	70	612
3	83	602
4	101	602
5	132	598
6	199	598
7	422	598
8	1362	598
done	5001	598

prune243.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.5b

localize19.0ms

Local error

Found 4 expressions with local error:

3.2b	(log (cbrt (exp (fmod (cosh a) (* a a)))))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))
59.3b	(fmod (cosh a) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 37

Calls

4 calls:

3.0ms	(log (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))

series221.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(log (cbrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify1.2s

Counts

49 → 49

Iterations

Useful iterations: 5 (47.0ms)

Iter	Nodes	Cost
0	42	527
1	56	520
2	70	458
3	83	453
4	101	453
5	132	451
6	199	451
7	422	451
8	1362	451
done	5001	451

prune243.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 59.5b

regimes48.0ms

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

sample22.4s

Algorithm

intervals

Results

13.4s	7739×	body	10240	exit
5.0s	3158×	body	2560	valid
1.8s	2534×	body	1280	valid
693.0ms	15847×	body	80	nan
477.0ms	1224×	body	640	valid
170.0ms	641×	body	320	valid
62.0ms	323×	body	160	valid
25.0ms	12×	body	5120	nan
12.0ms	13×	body	2560	nan
12.0ms	120×	body	80	valid
4.0ms	12×	body	640	nan
3.0ms	6×	body	1280	nan
3.0ms	13×	body	320	nan
1.0ms	5×	body	160	nan