Details

sample1.2s

Algorithm

intervals

Results

684.0ms	254×	body	10240	exit
228.0ms	96×	body	2560	valid
91.0ms	85×	body	1280	valid
81.0ms	495×	body	80	nan
21.0ms	36×	body	640	valid
9.0ms	20×	body	320	valid
4.0ms	15×	body	160	valid
1.0ms	4×	body	80	valid

simplify7.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5041
7	3478
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.4b

localize44.0ms

Local error

Found 2 expressions with local error:

3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.8b	(fmod (cosh a) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
1×	`acos-asin`

Counts

2 → 17

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

series54.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
25.0ms	(fmod (cosh a) (* a a))

simplify6.3s

Counts

23 → 23

Iterations

Iter	Nodes
done	5002
7	2762
6	904
5	373
4	194
3	117
2	77
1	54
0	31

prune323.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.2b

localize44.0ms

Local error

Found 3 expressions with local error:

3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-pow`
3×	`log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 33

Calls

3 calls:

8.0ms	(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))

series35.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
8.0ms	(log (exp (fmod (cosh a) (* a a))))
11.0ms	(fmod (cosh a) (* a a))

simplify4.3s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
6	1526
5	555
4	286
3	174
2	119
1	86
0	54

prune458.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.2b

localize91.0ms

Local error

Found 4 expressions with local error:

11.9b	(log (exp (fmod (cosh a) (* a a))))
11.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`pow1` `log-prod` `exp-prod`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 48

Calls

4 calls:

4.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series35.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(log (exp (fmod (cosh a) (* a a))))
10.0ms	(log (exp (fmod (cosh a) (* a a))))
8.0ms	(fmod (cosh a) (* a a))
8.0ms	(fmod (cosh a) (* a a))

simplify5.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
7	1834
6	680
5	346
4	186
3	119
2	84
1	61
0	38

prune945.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.2b

localize126.0ms

Local error

Found 4 expressions with local error:

11.9b	(log (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))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series44.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(log (exp (fmod (cosh a) (* a a))))
8.0ms	(fmod (cosh a) (* a a))
12.0ms	(fmod (cosh a) (* a a))
15.0ms	(fmod (cosh a) (* a a))

simplify5.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
7	1834
6	680
5	346
4	186
3	119
2	84
1	61
0	38

prune681.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 59.2b

regimes930.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample36.1s

Algorithm

intervals

Results

21.1s	8093×	body	10240	exit
7.3s	3209×	body	2560	valid
2.8s	2438×	body	1280	valid
2.2s	16163×	body	80	nan
1.2s	1274×	body	640	valid
337.0ms	617×	body	320	valid
94.0ms	338×	body	160	valid
18.0ms	124×	body	80	valid
16.0ms	6×	body	5120	nan
10.0ms	8×	body	2560	nan
5.0ms	14×	body	320	nan
3.0ms	4×	body	1280	nan
3.0ms	5×	body	640	nan
2.0ms	8×	body	160	nan