Details

sample1.9s

Algorithm

intervals

Results

1.1s	235×	body	10240	exit
425.0ms	96×	body	2560	valid
113.0ms	83×	body	1280	valid
73.0ms	507×	body	80	nan
44.0ms	51×	body	640	valid
9.0ms	14×	body	320	valid
5.0ms	11×	body	160	valid
3.0ms	1×	body	2560	nan
0.0ms	1×	body	320	nan
0.0ms	1×	body	80	valid

simplify1.4s

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: 61.1b

localize19.0ms

Local error

Found 2 expressions with local error:

1.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.4b	(fmod (cosh a) (* a a))

rewrite10.0ms

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:

3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify1.3s

Counts

27 → 27

Iterations

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

prune266.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize26.0ms

Local error

Found 3 expressions with local error:

1.6b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.9b	(log (exp (fmod (cosh a) (* a a))))
59.4b	(fmod (cosh a) (* a a))

rewrite9.0ms

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))

series10.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify1.4s

Counts

48 → 48

Iterations

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

prune462.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize51.0ms

Local error

Found 4 expressions with local error:

10.9b	(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))

rewrite4.0ms

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))

simplify1.4s

Counts

60 → 60

Iterations

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

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize85.0ms

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))

rewrite3.0ms

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))

series14.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(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))

simplify1.3s

Counts

52 → 52

Iterations

Iter	Nodes
done	2293
9	2293
8	1269
7	546
6	290
5	169
4	100
3	64
2	45
1	30
0	17

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

regimes353.0ms

Accuracy

0% (0.4b remaining)

Error of 59.6b against oracle of 59.1b and baseline of 59.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample45.6s

Algorithm

intervals

Results

25.8s	7898×	body	10240	exit
10.1s	3164×	body	2560	valid
4.3s	2492×	body	1280	valid
2.6s	16099×	body	80	nan
1.2s	1289×	body	640	valid
523.0ms	311×	body	160	valid
458.0ms	627×	body	320	valid
27.0ms	117×	body	80	valid
24.0ms	7×	body	5120	nan
12.0ms	7×	body	2560	nan
9.0ms	8×	body	1280	nan
6.0ms	7×	body	320	nan
4.0ms	6×	body	640	nan
2.0ms	5×	body	160	nan