Details

sample2.0s

Algorithm

intervals

Results

1.2s	236×	body	10240	exit
404.0ms	96×	body	2560	valid
144.0ms	77×	body	1280	valid
79.0ms	472×	body	80	nan
34.0ms	48×	body	640	valid
8.0ms	16×	body	320	valid
5.0ms	12×	body	160	valid
1.0ms	7×	body	80	valid
1.0ms	1×	body	320	nan

simplify4.2s

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	91	10
5	373	10
6	3269	10
done	5001	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize14.0ms

Local error

Found 2 expressions with local error:

1.4b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.8b	(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))

series24.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
17.0ms	(fmod (cosh a) (* a a))

simplify3.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	29	241
1	52	241
2	101	209
3	172	209
4	301	209
5	807	209
6	3981	209
done	5000	209

prune112.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 59.1b

localize16.0ms

Local error

Found 3 expressions with local error:

1.4b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))

rewrite11.0ms

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:

3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series16.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify3.0s

Counts

39 → 39

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	51	463
1	83	410
2	148	359
3	235	359
4	387	359
5	984	359
6	4616	359
done	5001	359

prune166.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 59.1b

localize37.0ms

Local error

Found 4 expressions with local error:

2.7b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.7b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))

rewrite10.0ms

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:

4.0ms	(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))

series299.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
148.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

66 → 66

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	49	782
1	72	734
2	114	658
3	182	658
4	302	658
5	671	658
6	2140	658
done	5002	658

prune423.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.1b

localize45.0ms

Local error

Found 4 expressions with local error:

2.8b	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

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:

4.0ms	(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))

series285.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(log (sqrt (cbrt (exp (fmod (cosh a) (* a a))))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify2.2s

Counts

54 → 54

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	55	635
1	73	615
2	101	550
3	146	550
4	224	550
5	444	550
6	1052	550
7	3305	550
done	5000	550

prune448.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.1b

regimes269.0ms

Accuracy

0% (0.4b remaining)

Error of 60.3b against oracle of 59.8b and baseline of 60.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	37
1	19	37
done	19	37

end0.0ms

sample36.1s

Algorithm

intervals

Results

21.8s	7879×	body	10240	exit
7.6s	3170×	body	2560	valid
2.9s	2535×	body	1280	valid
1.5s	15784×	body	80	nan
856.0ms	1227×	body	640	valid
307.0ms	648×	body	320	valid
88.0ms	300×	body	160	valid
18.0ms	120×	body	80	valid
9.0ms	3×	body	5120	nan
6.0ms	5×	body	2560	nan
4.0ms	7×	body	640	nan
2.0ms	3×	body	1280	nan
2.0ms	6×	body	320	nan
1.0ms	3×	body	160	nan