Details

sample1.7s

Algorithm

intervals

Results

956.0ms	245×	body	10240	exit
335.0ms	110×	body	2560	valid
120.0ms	78×	body	1280	valid
84.0ms	527×	body	80	nan
34.0ms	35×	body	640	valid
16.0ms	21×	body	320	valid
3.0ms	7×	body	160	valid
2.0ms	5×	body	80	valid
1.0ms	1×	body	2560	nan

simplify14.9s

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: 60.4b

localize23.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.9b	(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))

series11.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify1.9s

Counts

27 → 27

Iterations

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

prune253.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.2b

localize29.0ms

Local error

Found 3 expressions with local error:

1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.7b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))

rewrite5.0ms

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)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series7.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(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))

simplify3.1s

Counts

48 → 48

Iterations

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

prune433.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.1b

localize52.0ms

Local error

Found 4 expressions with local error:

10.7b	(log (exp (fmod (cosh a) (* a a))))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(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×	`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:

5.0ms	(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))

simplify7.1s

Counts

60 → 60

Iterations

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

prune967.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.1b

localize90.0ms

Local error

Found 4 expressions with local error:

58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))
58.9b	(fmod (cosh a) (* a a))

rewrite2.0ms

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))
1.0ms	(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))

simplify5.9s

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

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.1b

regimes784.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.2b and baseline of 59.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	19
1	19
0	18

end0.0ms

sample38.5s

Algorithm

intervals

Results

21.2s	7754×	body	10240	exit
8.6s	3230×	body	2560	valid
3.6s	2524×	body	1280	valid
2.6s	15923×	body	80	nan
1.1s	1257×	body	640	valid
371.0ms	580×	body	320	valid
334.0ms	12×	body	1280	nan
135.0ms	297×	body	160	valid
41.0ms	112×	body	80	valid
16.0ms	6×	body	5120	nan
14.0ms	9×	body	2560	nan
4.0ms	5×	body	640	nan
2.0ms	4×	body	320	nan
2.0ms	5×	body	160	nan