Details

sample1.2s

Algorithm

intervals

Results

710.0ms	246×	body	10240	exit
200.0ms	86×	body	2560	valid
103.0ms	99×	body	1280	valid
77.0ms	561×	body	80	nan
26.0ms	37×	body	640	valid
9.0ms	20×	body	320	valid
3.0ms	10×	body	160	valid
1.0ms	1×	body	2560	nan
1.0ms	4×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune11.0ms

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))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

3.0ms	(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:

178.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
6.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
3	3062
2	508
1	132
0	54

prune285.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize29.0ms

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))

rewrite9.0ms

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×	`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:

4.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series163.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(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))

simplify421.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	774
1	198
0	81

prune373.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.8b

localize35.0ms

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))

rewrite8.0ms

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

Counts

4 → 54

Calls

4 calls:

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

series374.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
182.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
6	2138
5	671
4	302
3	182
2	114
1	72
0	49

prune708.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.8b

localize116.0ms

Local error

Found 4 expressions with local error:

2.9b	(log (sqrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
59.9b	(fmod (cosh a) (pow a 2))
59.9b	(fmod (cosh a) (pow a 2))
59.9b	(fmod (cosh a) (* a a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

8.0ms	(log (sqrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (* a a))

series340.0ms

Counts

4 → 12

Calls

4 calls:

326.0ms	(log (sqrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
4.0ms	(fmod (cosh a) (pow a 2))
4.0ms	(fmod (cosh a) (pow a 2))
4.0ms	(fmod (cosh a) (* a a))

simplify1.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
6	1742
5	587
4	274
3	171
2	120
1	91
0	67

prune600.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.7b

regimes585.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	33
3	33
2	31
1	29
0	23

end0.0ms

sample36.0s

Algorithm

intervals

Results

21.6s	7850×	body	10240	exit
7.5s	3140×	body	2560	valid
3.0s	2471×	body	1280	valid
1.6s	16189×	body	80	nan
775.0ms	1292×	body	640	valid
338.0ms	630×	body	320	valid
101.0ms	333×	body	160	valid
21.0ms	8×	body	5120	nan
20.0ms	134×	body	80	valid
15.0ms	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