Details

sample2.0s

Algorithm

intervals

Results

1.1s	294×	body	10240	exit
506.0ms	105×	body	2560	valid
111.0ms	79×	body	1280	valid
57.0ms	581×	body	80	nan
24.0ms	31×	body	640	valid
12.0ms	22×	body	320	valid
5.0ms	13×	body	160	valid
1.0ms	6×	body	80	valid
0.0ms	1×	body	160	nan

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
7	2821
6	736
5	199
4	87
3	44
2	24
1	16
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize35.0ms

Local error

Found 2 expressions with local error:

3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.1b	(fmod (cosh a) (* a a))

rewrite6.0ms

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:

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
15.0ms	(fmod (cosh a) (* a a))

simplify5.7s

Counts

25 → 25

Iterations

Iter	Nodes
done	5089
7	3583
6	1084
5	412
4	203
3	118
2	78
1	55
0	33

prune229.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.4b

localize37.0ms

Local error

Found 3 expressions with local error:

3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.8b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(fmod (cosh a) (* a a))

rewrite20.0ms

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:

12.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series18.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify2.8s

Counts

45 → 45

Iterations

Iter	Nodes
done	5004
6	1675
5	574
4	298
3	176
2	120
1	89
0	57

prune411.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 59.4b

localize51.0ms

Local error

Found 4 expressions with local error:

4.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
4.3b	(log (sqrt (exp (fmod (cosh a) (* a a)))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite20.0ms

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:

8.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
8.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series480.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
234.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify4.7s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
7	2102
6	706
5	355
4	195
3	136
2	100
1	76
0	53

prune853.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 59.3b

localize71.0ms

Local error

Found 4 expressions with local error:

10.8b	(log (exp (fmod (cosh a) (* a a))))
10.8b	(log (exp (fmod (cosh a) (* a a))))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

6.0ms	(log (exp (fmod (cosh a) (* a a))))
6.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series49.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
33.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify4.5s

Counts

64 → 64

Iterations

Iter	Nodes
done	5020
7	2054
6	662
5	333
4	189
3	122
2	86
1	63
0	40

prune740.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 59.3b

regimes690.0ms

Accuracy

0% (0.5b remaining)

Error of 60.2b against oracle of 59.7b and baseline of 60.2b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample49.5s

Algorithm

intervals

Results

27.9s	7712×	body	10240	exit
10.8s	3116×	body	2560	valid
4.5s	2466×	body	1280	valid
2.9s	15639×	body	80	nan
1.1s	1280×	body	640	valid
516.0ms	676×	body	320	valid
205.0ms	343×	body	160	valid
24.0ms	119×	body	80	valid
23.0ms	6×	body	5120	nan
11.0ms	11×	body	1280	nan
9.0ms	3×	body	2560	nan
6.0ms	9×	body	640	nan
4.0ms	8×	body	320	nan
2.0ms	6×	body	160	nan