Details

sample1.4s

Algorithm

intervals

Results

770.0ms	246×	body	10240	exit
211.0ms	86×	body	2560	valid
169.0ms	99×	body	1280	valid
69.0ms	37×	body	640	valid
50.0ms	561×	body	80	nan
11.0ms	20×	body	320	valid
4.0ms	10×	body	160	valid
2.0ms	1×	body	2560	nan
1.0ms	4×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3169
5	373
4	91
3	44
2	24
1	16
0	7

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 38

Calls

3 calls:

5.0ms	(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))

series106.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
27.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	1013
1	253
0	99

prune323.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.8b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 59

Calls

4 calls:

8.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.0ms	(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))

series86.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
2	1212
1	321
0	128

prune474.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.8b

localize95.0ms

Local error

Found 4 expressions with local error:

10.8b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(log (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))

series18.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5004
6	1672
5	541
4	260
3	164
2	108
1	63
0	40

prune650.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 59.8b

localize62.0ms

Local error

Found 4 expressions with local error:

2.9b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.9b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log` `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:

3.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
9.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series354.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
175.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
2.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify3.2s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
6	2578
5	694
4	300
3	179
2	118
1	76
0	53

prune576.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.8b

regimes282.0ms

Accuracy

0% (0.5b remaining)

Error of 60.1b against oracle of 59.7b and baseline of 60.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample35.8s

Algorithm

intervals

Results

21.6s	7850×	body	10240	exit
7.2s	3140×	body	2560	valid
2.8s	2471×	body	1280	valid
1.8s	16189×	body	80	nan
860.0ms	1292×	body	640	valid
332.0ms	630×	body	320	valid
101.0ms	333×	body	160	valid
53.0ms	134×	body	80	valid
23.0ms	8×	body	5120	nan
14.0ms	11×	body	2560	nan
7.0ms	9×	body	1280	nan
3.0ms	5×	body	640	nan
3.0ms	8×	body	320	nan
2.0ms	10×	body	160	nan