Details

sample1.3s

Algorithm

intervals

Results

691.0ms	241×	body	10240	exit
273.0ms	94×	body	2560	valid
118.0ms	75×	body	1280	valid
70.0ms	528×	body	80	nan
37.0ms	43×	body	640	valid
16.0ms	26×	body	320	valid
6.0ms	14×	body	160	valid
1.0ms	4×	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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize20.0ms

Local error

Found 2 expressions with local error:

3.0b	(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))

series19.0ms

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

prune308.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.7b

localize29.0ms

Local error

Found 3 expressions with local error:

3.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.1b	(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:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))

series10.0ms

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

simplify2.9s

Counts

42 → 42

Iterations

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

prune473.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 58.7b

localize70.0ms

Local error

Found 4 expressions with local error:

12.1b	(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))

rewrite7.0ms

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:

4.0ms	(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))

series12.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(log (exp (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))

simplify5.0s

Counts

52 → 52

Iterations

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

prune926.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.6b

localize85.0ms

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))
1.0ms	(fmod (cosh a) (* a a))

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
12.0ms	(fmod (cosh a) (* a a))

simplify6.2s

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

prune981.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 58.6b

regimes366.0ms

Accuracy

0% (0.5b 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

sample38.0s

Algorithm

intervals

Results

21.7s	7904×	body	10240	exit
7.7s	3151×	body	2560	valid
3.5s	2523×	body	1280	valid
2.5s	16154×	body	80	nan
1.5s	1263×	body	640	valid
385.0ms	600×	body	320	valid
155.0ms	353×	body	160	valid
38.0ms	7×	body	5120	nan
22.0ms	110×	body	80	valid
13.0ms	8×	body	2560	nan
7.0ms	6×	body	1280	nan
4.0ms	7×	body	640	nan
4.0ms	7×	body	320	nan
4.0ms	12×	body	160	nan