Details

sample1.6s

Algorithm

intervals

Results

866.0ms	241×	body	10240	exit
333.0ms	94×	body	2560	valid
124.0ms	528×	body	80	nan
120.0ms	75×	body	1280	valid
40.0ms	43×	body	640	valid
19.0ms	26×	body	320	valid
6.0ms	14×	body	160	valid
1.0ms	4×	body	80	valid

simplify15.0s

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` `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:

1.0ms	(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))

simplify1.8s

Counts

27 → 27

Iterations

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

prune392.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.7b

localize25.0ms

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×	`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:

2.0ms	(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))

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))

simplify3.1s

Counts

48 → 48

Iterations

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

prune572.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 58.7b

localize69.0ms

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))

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))

simplify7.4s

Counts

60 → 60

Iterations

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

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 58.6b

localize69.0ms

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))

simplify6.2s

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

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 58.6b

regimes393.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	19
1	19
0	18

end0.0ms

sample40.1s

Algorithm

intervals

Results

23.0s	7904×	body	10240	exit
9.0s	3151×	body	2560	valid
3.4s	2523×	body	1280	valid
2.3s	16154×	body	80	nan
1.1s	1263×	body	640	valid
350.0ms	600×	body	320	valid
183.0ms	353×	body	160	valid
36.0ms	110×	body	80	valid
20.0ms	7×	body	5120	nan
12.0ms	8×	body	2560	nan
6.0ms	6×	body	1280	nan
5.0ms	7×	body	640	nan
4.0ms	12×	body	160	nan
3.0ms	7×	body	320	nan