Details

sample1.8s

Algorithm

intervals

Results

887.0ms	235×	body	10240	exit
313.0ms	96×	body	2560	valid
129.0ms	83×	body	1280	valid
111.0ms	507×	body	80	nan
47.0ms	51×	body	640	valid
11.0ms	14×	body	320	valid
4.0ms	11×	body	160	valid
2.0ms	1×	body	2560	nan
0.0ms	1×	body	320	nan
0.0ms	1×	body	80	valid

simplify15.2s

Counts

1 → 1

Iterations

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

prune5.0ms

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))

rewrite6.0ms

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))

series18.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
14.0ms	(fmod (cosh a) (* a a))

simplify1.9s

Counts

23 → 23

Iterations

Iter	Nodes
7	2209
6	727
5	315
4	158
3	96
2	68
1	54
0	31

prune142.0ms

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))

rewrite4.0ms

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:

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))

series12.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(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

42 → 42

Iterations

Iter	Nodes
7	3559
6	1102
5	479
4	235
3	147
2	108
1	84
0	54

prune236.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize75.0ms

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×	`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))
1.0ms	(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))

simplify5.1s

Counts

52 → 52

Iterations

Iter	Nodes
8	4712
7	1300
6	481
5	229
4	127
3	90
2	73
1	59
0	38

prune488.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize63.0ms

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` `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))

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))

simplify6.1s

Counts

44 → 44

Iterations

Iter	Nodes
10	7096
9	1517
8	516
7	228
6	117
5	75
4	51
3	40
2	34
1	28
0	15

prune406.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

regimes337.0ms

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

sample37.9s

Algorithm

intervals

Results

22.1s	7898×	body	10240	exit
7.6s	3164×	body	2560	valid
3.2s	2492×	body	1280	valid
2.4s	16099×	body	80	nan
1.5s	1289×	body	640	valid
355.0ms	627×	body	320	valid
116.0ms	311×	body	160	valid
24.0ms	7×	body	5120	nan
23.0ms	117×	body	80	valid
15.0ms	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