Details

sample1.1s

Algorithm

intervals

Results

521.0ms	286×	body	10240	exit
160.0ms	96×	body	2560	valid
57.0ms	77×	body	1280	valid
27.0ms	578×	body	80	nan
20.0ms	51×	body	640	valid
6.0ms	23×	body	320	valid
1.0ms	5×	body	160	valid
0.0ms	4×	body	80	valid

simplify46.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	43	6
3	91	6
4	257	6
5	1277	6
6	5002	6
done	5002	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize11.0ms

Local error

Found 2 expressions with local error:

1.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.0b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 19

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:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
11.0ms	(fmod (cosh a) (* a a))

simplify85.0ms

Counts

25 → 25

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	166
1	76	146
2	160	146
3	411	146
4	2000	146
5	5001	146
done	5001	146

prune92.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 60.3b

localize12.0ms

Local error

Found 3 expressions with local error:

1.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.4b	(log (exp (fmod (cosh a) (* a a))))
60.0b	(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` `expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 36

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))

series11.0ms

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))))
5.0ms	(fmod (cosh a) (* a a))

simplify108.0ms

Counts

45 → 45

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	299
1	113	260
2	227	260
3	599	260
4	2974	260
5	5001	260
done	5001	260

prune157.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.2b

localize14.0ms

Local error

Found 4 expressions with local error:

1.4b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
1.4b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))

rewrite12.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 62

Calls

4 calls:

4.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
6.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series228.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
114.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify84.0ms

Counts

74 → 74

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	70	532
1	102	478
2	184	478
3	446	474
4	2034	474
5	5002	474
done	5002	474

prune310.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.2b

localize18.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))
60.0b	(fmod (cosh a) (* a a))
60.0b	(fmod (cosh a) (* a a))
60.0b	(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×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`log-pow`
1×	`pow1/3` `rem-log-exp`

Counts

4 → 48

Calls

4 calls:

4.0ms	(log (cbrt (sqrt (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))

series220.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(log (cbrt (sqrt (exp (fmod (cosh a) (* a a))))))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify74.0ms

Counts

60 → 60

Iterations

Useful iterations: 4 (18.0ms)

Iter	Nodes	Cost
0	73	434
1	96	390
2	163	390
3	375	389
4	1728	385
5	5001	385
done	5001	385

prune289.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 60.2b

regimes96.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	43
1	26	43
done	26	43

end0.0ms

sample23.2s

Algorithm

intervals

Results

14.1s	8143×	body	10240	exit
5.1s	3210×	body	2560	valid
1.8s	2481×	body	1280	valid
710.0ms	16055×	body	80	nan
470.0ms	1213×	body	640	valid
177.0ms	658×	body	320	valid
63.0ms	314×	body	160	valid
12.0ms	6×	body	5120	nan
12.0ms	124×	body	80	valid
6.0ms	6×	body	2560	nan
4.0ms	7×	body	1280	nan
2.0ms	7×	body	640	nan
1.0ms	7×	body	160	nan
0.0ms	1×	body	320	nan