Details

sample1.9s

Algorithm

intervals

Results

926.0ms	235×	body	10240	exit
352.0ms	96×	body	2560	valid
151.0ms	507×	body	80	nan
120.0ms	83×	body	1280	valid
44.0ms	51×	body	640	valid
8.0ms	14×	body	320	valid
5.0ms	11×	body	160	valid
2.0ms	1×	body	2560	nan
0.0ms	1×	body	320	nan
0.0ms	1×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2025
7	2025
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize19.0ms

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` `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:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
13.0ms	(fmod (cosh a) (* a a))

simplify1.3s

Counts

23 → 23

Iterations

Iter	Nodes
done	2001
7	2001
6	1070
5	408
4	202
3	117
2	77
1	54
0	31

prune362.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize45.0ms

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))

rewrite8.0ms

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:

2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series11.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(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))

simplify1.4s

Counts

42 → 42

Iterations

Iter	Nodes
done	2028
7	2028
6	1688
5	583
4	288
3	173
2	118
1	85
0	54

prune373.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize34.0ms

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))

rewrite3.0ms

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:

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))

simplify2.0s

Counts

52 → 52

Iterations

Iter	Nodes
done	2001
8	2001
7	1699
6	651
5	333
4	188
3	119
2	83
1	60
0	38

prune963.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize74.0ms

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))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

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))

series12.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify1.0s

Counts

44 → 44

Iterations

Iter	Nodes
done	2001
9	2001
8	1276
7	568
6	304
5	159
4	98
3	62
2	43
1	28
0	15

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

regimes345.0ms

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
done	19
1	19
0	18

end0.0ms

sample44.4s

Algorithm

intervals

Results

25.0s	7898×	body	10240	exit
9.9s	3164×	body	2560	valid
4.1s	2492×	body	1280	valid
2.9s	16099×	body	80	nan
1.1s	1289×	body	640	valid
486.0ms	627×	body	320	valid
165.0ms	311×	body	160	valid
28.0ms	8×	body	1280	nan
27.0ms	7×	body	5120	nan
26.0ms	117×	body	80	valid
13.0ms	7×	body	2560	nan
6.0ms	6×	body	640	nan
4.0ms	7×	body	320	nan
2.0ms	5×	body	160	nan