Details

sample1.7s

Algorithm

intervals

Results

917.0ms	265×	body	10240	exit
349.0ms	106×	body	2560	valid
163.0ms	84×	body	1280	valid
112.0ms	533×	body	80	nan
31.0ms	35×	body	640	valid
12.0ms	16×	body	320	valid
3.0ms	6×	body	160	valid
2.0ms	9×	body	80	valid
2.0ms	1×	body	1280	nan

simplify15.8s

Counts

1 → 1

Iterations

Iter	Nodes
8	10109
7	1959
6	486
5	195
4	87
3	44
2	24
1	16
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.8b

localize23.0ms

Local error

Found 2 expressions with local error:

1.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.0b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 21

Calls

2 calls:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
13.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

27 → 27

Iterations

Iter	Nodes
7	2443
6	728
5	318
4	164
3	102
2	74
1	58
0	35

prune310.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.7b

localize35.0ms

Local error

Found 3 expressions with local error:

1.5b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.2b	(log (exp (fmod (cosh a) (* a a))))
59.0b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-pow`
3×	`expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 39

Calls

3 calls:

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))

series6.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify2.7s

Counts

48 → 48

Iterations

Iter	Nodes
7	3683
6	1104
5	491
4	245
3	154
2	115
1	92
0	60

prune552.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 58.6b

localize42.0ms

Local error

Found 4 expressions with local error:

11.2b	(log (exp (fmod (cosh a) (* a a))))
59.0b	(fmod (cosh a) (* a a))
59.0b	(fmod (cosh a) (* a a))
59.0b	(fmod (cosh a) (* a a))

rewrite3.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 48

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))

series8.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(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))

simplify4.8s

Counts

60 → 60

Iterations

Iter	Nodes
8	5368
7	1338
6	489
5	237
4	135
3	95
2	78
1	65
0	42

prune731.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.6b

localize51.0ms

Local error

Found 4 expressions with local error:

59.0b	(fmod (cosh a) (* a a))
59.0b	(fmod (cosh a) (* a a))
59.0b	(fmod (cosh a) (* a a))
59.0b	(fmod (cosh a) (* a a))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

0.0ms	(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))

series7.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(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))

simplify4.1s

Counts

52 → 52

Iterations

Iter	Nodes
10	6978
9	1470
8	502
7	222
6	121
5	79
4	55
3	44
2	38
1	30
0	17

prune799.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 58.6b

regimes223.0ms

Accuracy

0% (0.4b remaining)

Error of 59.5b against oracle of 59.1b and baseline of 59.5b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	19
1	19
0	18

end0.0ms

sample31.4s

Algorithm

intervals

Results

18.1s	8046×	body	10240	exit
6.6s	3159×	body	2560	valid
2.7s	2535×	body	1280	valid
2.3s	16139×	body	80	nan
873.0ms	1281×	body	640	valid
263.0ms	576×	body	320	valid
115.0ms	314×	body	160	valid
21.0ms	135×	body	80	valid
16.0ms	12×	body	2560	nan
15.0ms	6×	body	5120	nan
5.0ms	12×	body	320	nan
5.0ms	6×	body	1280	nan
3.0ms	6×	body	640	nan
1.0ms	3×	body	160	nan