Details

sample1.6s

Algorithm

intervals

Results

903.0ms	274×	body	10240	exit
290.0ms	101×	body	2560	valid
131.0ms	76×	body	1280	valid
91.0ms	573×	body	80	nan
48.0ms	50×	body	640	valid
12.0ms	19×	body	320	valid
3.0ms	7×	body	160	valid
1.0ms	1×	body	1280	nan
1.0ms	3×	body	80	valid
0.0ms	1×	body	320	nan

simplify14.3s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize46.0ms

Local error

Found 2 expressions with local error:

0.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.2b	(fmod (cosh a) (* a a))

rewrite5.0ms

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))

series11.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(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

prune405.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 59.6b

localize27.0ms

Local error

Found 3 expressions with local error:

0.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.0b	(log (exp (fmod (cosh a) (* a a))))
60.2b	(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:

1.0ms	(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))

simplify3.2s

Counts

48 → 48

Iterations

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

prune448.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.6b

localize36.0ms

Local error

Found 4 expressions with local error:

9.0b	(log (exp (fmod (cosh a) (* a a))))
60.2b	(fmod (cosh a) (* a a))
60.2b	(fmod (cosh a) (* a a))
60.2b	(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))

series13.0ms

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))
7.0ms	(fmod (cosh a) (* a a))

simplify7.2s

Counts

60 → 60

Iterations

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

prune980.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.6b

localize48.0ms

Local error

Found 4 expressions with local error:

9.0b	(log (exp (fmod (cosh a) (* a a))))
9.0b	(log (exp (fmod (cosh a) (* a a))))
60.2b	(fmod (cosh a) (* a a))
60.2b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`pow1` `log-prod` `exp-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 56

Calls

4 calls:

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

simplify7.8s

Counts

68 → 68

Iterations

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

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.6b

regimes211.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
1	11
0	11

end0.0ms

sample37.0s

Algorithm

intervals

Results

21.1s	7892×	body	10240	exit
7.6s	3143×	body	2560	valid
3.5s	2513×	body	1280	valid
2.6s	16108×	body	80	nan
1.0s	1296×	body	640	valid
390.0ms	603×	body	320	valid
144.0ms	330×	body	160	valid
27.0ms	8×	body	5120	nan
23.0ms	115×	body	80	valid
9.0ms	6×	body	2560	nan
6.0ms	5×	body	1280	nan
5.0ms	8×	body	320	nan
3.0ms	5×	body	640	nan
3.0ms	9×	body	160	nan