Details

sample1.8s

Algorithm

intervals

Results

1.2s	254×	body	10240	exit
264.0ms	96×	body	2560	valid
109.0ms	85×	body	1280	valid
45.0ms	495×	body	80	nan
25.0ms	36×	body	640	valid
11.0ms	20×	body	320	valid
6.0ms	15×	body	160	valid
1.0ms	4×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize34.0ms

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))

rewrite7.0ms

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:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

series22.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
16.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

23 → 23

Iterations

Iter	Nodes
done	5004
7	3117
6	1070
5	408
4	202
3	117
2	77
1	54
0	31

prune156.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.5b

localize45.0ms

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))

rewrite11.0ms

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:

3.0ms	(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))

series15.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify2.5s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
6	1688
5	583
4	288
3	173
2	118
1	85
0	54

prune279.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.5b

localize41.0ms

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))

rewrite7.0ms

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:

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

series9.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify2.7s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
7	1699
6	651
5	333
4	188
3	119
2	83
1	60
0	38

prune608.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 58.5b

localize57.0ms

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))

rewrite9.0ms

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:

6.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series26.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify2.4s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
7	1699
6	651
5	333
4	188
3	119
2	83
1	60
0	38

prune468.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 58.5b

regimes512.0ms

Accuracy

0% (0.4b remaining)

Error of 59.5b against oracle of 59.0b and baseline of 59.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample37.0s

Algorithm

intervals

Results

21.4s	8093×	body	10240	exit
7.9s	3209×	body	2560	valid
3.2s	2438×	body	1280	valid
2.2s	16163×	body	80	nan
907.0ms	1274×	body	640	valid
656.0ms	617×	body	320	valid
143.0ms	338×	body	160	valid
18.0ms	124×	body	80	valid
17.0ms	6×	body	5120	nan
12.0ms	8×	body	2560	nan
6.0ms	14×	body	320	nan
4.0ms	4×	body	1280	nan
3.0ms	5×	body	640	nan
2.0ms	8×	body	160	nan