Details

sample1.5s

Algorithm

intervals

Results

924.0ms	267×	body	10240	exit
228.0ms	92×	body	2560	valid
139.0ms	83×	body	1280	valid
57.0ms	550×	body	80	nan
34.0ms	47×	body	640	valid
11.0ms	19×	body	320	valid
4.0ms	13×	body	160	valid
2.0ms	1×	body	5120	nan
1.0ms	2×	body	1280	nan
0.0ms	2×	body	80	valid

simplify2.9s

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
2.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log`
3×	`unpow-prod-down` `pow-unpow` `add-cbrt-cube` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 32

Calls

3 calls:

4.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series194.0ms

Counts

3 → 9

Calls

3 calls:

176.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
10.0ms	(fmod (cosh a) (* a a))

simplify2.4s

Counts

41 → 41

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	51	507
1	90	492
2	189	450
3	459	450
4	1327	450
done	5001	450

prune236.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
13.4b	(log (exp (fmod (cosh a) (* a a))))
59.5b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

5.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series194.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(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))

simplify2.4s

Counts

63 → 63

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	78	857
1	121	729
2	225	668
3	515	668
4	1413	668
done	5001	668

prune355.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.8b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.3b	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`add-exp-log`
4×	`log-pow` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `log-prod` `exp-prod`
2×	`acos-asin`
1×	`pow-to-exp` `log-div` `pow-pow` `exp-diff` `rem-log-exp` `pow-exp` `sqr-pow`

Counts

4 → 48

Calls

4 calls:

5.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
7.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series201.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
7.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
5.0ms	(fmod (cosh a) (* a a))

simplify2.4s

Counts

60 → 60

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	76	816
1	121	766
2	226	693
3	516	693
4	1433	693
done	5000	693

prune354.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.8b

localize39.0ms

Local error

Found 4 expressions with local error:

2.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.5b	(fmod (cosh a) (* a a))
59.5b	(fmod (cosh a) (* a a))

rewrite5.0ms

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`
2×	`acos-asin`

Counts

4 → 30

Calls

4 calls:

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify3.5s

Counts

42 → 42

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	29	482
1	43	482
2	61	418
3	90	418
4	148	418
5	288	418
6	765	418
7	2920	418
done	5000	418

prune252.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 59.8b

regimes358.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	31
1	22	31
done	22	31

end0.0ms

sample39.3s

Algorithm

intervals

Results

22.6s	7831×	body	10240	exit
8.9s	3111×	body	2560	valid
3.7s	2543×	body	1280	valid
1.4s	15913×	body	80	nan
940.0ms	1272×	body	640	valid
331.0ms	644×	body	320	valid
135.0ms	310×	body	160	valid
23.0ms	9×	body	5120	nan
19.0ms	120×	body	80	valid
9.0ms	9×	body	1280	nan
4.0ms	7×	body	640	nan
3.0ms	6×	body	320	nan
3.0ms	10×	body	160	nan
2.0ms	1×	body	2560	nan