Details

sample1.5s

Algorithm

intervals

Results

836.0ms	254×	body	10240	exit
268.0ms	96×	body	2560	valid
132.0ms	495×	body	80	nan
108.0ms	85×	body	1280	valid
24.0ms	36×	body	640	valid
10.0ms	20×	body	320	valid
5.0ms	15×	body	160	valid
1.0ms	4×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
7	3480
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize38.0ms

Local error

Found 2 expressions with local error:

3.1b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
58.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

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))

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))

simplify3.0s

Counts

27 → 27

Iterations

Iter	Nodes
done	5023
7	3173
6	895
5	371
4	199
3	121
2	81
1	58
0	35

prune206.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.5b

localize37.0ms

Local error

Found 3 expressions with local error:

3.1b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

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)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series8.0ms

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))

simplify4.4s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
7	4732
6	1430
5	558
4	291
3	180
2	125
1	92
0	60

prune279.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.5b

localize40.0ms

Local error

Found 4 expressions with local error:

11.9b	(log (exp (fmod (cosh a) (* a a))))
11.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))

rewrite9.0ms

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:

3.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))

series10.0ms

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

simplify2.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
7	2052
6	695
5	337
4	190
3	124
2	88
1	65
0	42

prune625.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 58.5b

localize48.0ms

Local error

Found 4 expressions with local error:

11.9b	(log (exp (fmod (cosh a) (* a a))))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))
58.8b	(fmod (cosh a) (* a a))

rewrite8.0ms

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:

6.0ms	(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))

series15.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
7	2052
6	695
5	337
4	190
3	124
2	88
1	65
0	42

prune487.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 58.5b

regimes437.0ms

Accuracy

0% (0.4b remaining)

Error of 59.5b against oracle of 59.0b and baseline of 59.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
0	11

end0.0ms

sample35.8s

Algorithm

intervals

Results

21.6s	8093×	body	10240	exit
7.8s	3209×	body	2560	valid
3.1s	2438×	body	1280	valid
1.5s	16163×	body	80	nan
799.0ms	1274×	body	640	valid
251.0ms	617×	body	320	valid
102.0ms	338×	body	160	valid
18.0ms	124×	body	80	valid
13.0ms	6×	body	5120	nan
12.0ms	8×	body	2560	nan
5.0ms	14×	body	320	nan
3.0ms	4×	body	1280	nan
3.0ms	5×	body	640	nan
2.0ms	8×	body	160	nan