Details

sample1.8s

Algorithm

intervals

Results

1.2s	246×	body	10240	exit
259.0ms	96×	body	2560	valid
131.0ms	88×	body	1280	valid
71.0ms	500×	body	80	nan
38.0ms	43×	body	640	valid
15.0ms	25×	body	320	valid
4.0ms	1×	body	5120	nan
1.0ms	3×	body	160	valid
0.0ms	1×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2027
7	2027
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: 61.5b

localize29.0ms

Local error

Found 2 expressions with local error:

1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(fmod (cosh a) (* a a))

rewrite12.0ms

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:

9.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series12.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify1.2s

Counts

27 → 27

Iterations

Iter	Nodes
done	2004
7	2004
6	895
5	371
4	199
3	121
2	81
1	58
0	35

prune144.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 60.0b

localize51.0ms

Local error

Found 3 expressions with local error:

1.7b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.4b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(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))))
1.0ms	(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))

simplify1.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	2009
7	2009
6	1430
5	558
4	291
3	180
2	125
1	92
0	60

prune272.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 60.0b

localize47.0ms

Local error

Found 4 expressions with local error:

11.4b	(log (exp (fmod (cosh a) (* a a))))
59.7b	(fmod (cosh a) (* a a))
59.7b	(fmod (cosh a) (* a a))
59.7b	(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))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	2010
7	2010
6	695
5	337
4	190
3	124
2	88
1	65
0	42

prune417.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 60.0b

localize30.0ms

Local error

Found 3 expressions with local error:

1.2b	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
1.7b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.7b	(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`
2×	`acos-asin`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

3 → 40

Calls

3 calls:

3.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series7.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

49 → 49

Iterations

Iter	Nodes
done	2017
7	2017
6	1406
5	543
4	288
3	183
2	129
1	98
0	64

prune226.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 60.0b

regimes378.0ms

Accuracy

0% (0.4b remaining)

Error of 59.4b against oracle of 59.0b and baseline of 59.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample41.7s

Algorithm

intervals

Results

24.0s	7893×	body	10240	exit
8.4s	3122×	body	2560	valid
4.0s	2550×	body	1280	valid
3.0s	16006×	body	80	nan
1.1s	1241×	body	640	valid
383.0ms	625×	body	320	valid
141.0ms	337×	body	160	valid
46.0ms	125×	body	80	valid
39.0ms	11×	body	5120	nan
11.0ms	10×	body	1280	nan
10.0ms	6×	body	2560	nan
6.0ms	9×	body	640	nan
4.0ms	5×	body	320	nan
3.0ms	9×	body	160	nan