Details

sample1.6s

Algorithm

intervals

Results

814.0ms	235×	body	10240	exit
317.0ms	96×	body	2560	valid
129.0ms	507×	body	80	nan
113.0ms	83×	body	1280	valid
39.0ms	51×	body	640	valid
10.0ms	14×	body	320	valid
6.0ms	11×	body	160	valid
1.0ms	1×	body	2560	nan
0.0ms	1×	body	320	nan
0.0ms	1×	body	80	valid

simplify14.7s

Counts

1 → 1

Iterations

Iter	Nodes
8	9605
7	1734
6	473
5	197
4	85
3	42
2	24
1	16
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize24.0ms

Local error

Found 2 expressions with local error:

1.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

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))

series12.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify2.0s

Counts

27 → 27

Iterations

Iter	Nodes
7	2309
6	729
5	317
4	162
3	100
2	72
1	58
0	35

prune178.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize53.0ms

Local error

Found 3 expressions with local error:

1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.9b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))

rewrite9.0ms

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:

3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
1.0ms	(fmod (cosh a) (* a a))

series12.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(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))

simplify3.3s

Counts

48 → 48

Iterations

Iter	Nodes
7	3694
6	1153
5	491
4	247
3	155
2	115
1	91
0	60

prune239.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize71.0ms

Local error

Found 4 expressions with local error:

10.9b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))

rewrite4.0ms

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:

3.0ms	(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))

simplify7.3s

Counts

60 → 60

Iterations

Iter	Nodes
8	5488
7	1375
6	515
5	244
4	137
3	96
2	78
1	64
0	42

prune552.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize67.0ms

Local error

Found 4 expressions with local error:

59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(fmod (cosh a) (* a a))
59.4b	(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))

series8.0ms

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))

simplify6.5s

Counts

52 → 52

Iterations

Iter	Nodes
10	6958
9	1491
8	504
7	217
6	119
5	77
4	53
3	42
2	36
1	30
0	17

prune503.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

regimes353.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.1b and baseline of 59.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	19
1	19
0	18

end0.0ms

sample39.6s

Algorithm

intervals

Results

22.4s	7898×	body	10240	exit
8.0s	3164×	body	2560	valid
3.7s	2492×	body	1280	valid
2.9s	16099×	body	80	nan
1.1s	1289×	body	640	valid
679.0ms	627×	body	320	valid
122.0ms	311×	body	160	valid
23.0ms	117×	body	80	valid
22.0ms	7×	body	5120	nan
12.0ms	7×	body	2560	nan
7.0ms	8×	body	1280	nan
4.0ms	6×	body	640	nan
4.0ms	7×	body	320	nan
1.0ms	5×	body	160	nan