Details

sample1.6s

Algorithm

intervals

Results

899.0ms	270×	body	10240	exit
290.0ms	101×	body	2560	valid
127.0ms	87×	body	1280	valid
102.0ms	513×	body	80	nan
33.0ms	39×	body	640	valid
10.0ms	16×	body	320	valid
4.0ms	9×	body	160	valid
1.0ms	4×	body	80	valid

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: 60.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p a)
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.0b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.2b	(fmod (cosh a) (* a a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`expm1-log1p-u` `pow1` `add-exp-log`
4×	`add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down`
1×	`acos-asin` `pow-to-exp` `log1p-udef` `pow-pow` `pow-exp` `log1p-expm1` `sqr-pow`

Counts

4 → 49

Calls

4 calls:

1.0ms	(log1p a)
4.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
12.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series113.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(log1p a)
61.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
15.0ms	(fmod (cosh a) (* a a))

simplify1.5s

Counts

61 → 61

Iterations

Iter	Nodes
3	2562
2	833
1	302
0	120

prune576.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.0b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-prod`
1×	`acos-asin` `pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

4.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series51.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.0ms	(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))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
3	2344
2	801
1	313
0	128

prune833.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.6b

localize51.0ms

Local error

Found 4 expressions with local error:

10.0b	(log (exp (fmod (cosh a) (* a a))))
10.0b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))

rewrite17.0ms

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` `log1p-expm1-u` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(log (exp (fmod (cosh a) (* a a))))
11.0ms	(log (exp (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:

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

simplify6.6s

Counts

64 → 64

Iterations

Iter	Nodes
8	5456
7	1419
6	519
5	236
4	130
3	93
2	76
1	62
0	40

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 58.6b

localize68.0ms

Local error

Found 4 expressions with local error:

10.0b	(log (exp (fmod (cosh a) (* a a))))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))

rewrite6.0ms

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` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 44

Calls

4 calls:

4.0ms	(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:

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))

simplify6.7s

Counts

56 → 56

Iterations

Iter	Nodes
8	5456
7	1419
6	519
5	236
4	130
3	93
2	76
1	62
0	40

prune976.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 58.6b

regimes186.0ms

Accuracy

0% (0.9b remaining)

Error of 59.4b against oracle of 58.5b and baseline of 59.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
1	11
0	11

end0.0ms

sample37.4s

Algorithm

intervals

Results

21.4s	7894×	body	10240	exit
7.5s	3204×	body	2560	valid
3.3s	2448×	body	1280	valid
3.1s	16087×	body	80	nan
1.0s	1283×	body	640	valid
352.0ms	608×	body	320	valid
125.0ms	333×	body	160	valid
45.0ms	124×	body	80	valid
16.0ms	10×	body	2560	nan
16.0ms	5×	body	5120	nan
9.0ms	10×	body	1280	nan
7.0ms	9×	body	640	nan
4.0ms	7×	body	320	nan
1.0ms	4×	body	160	nan