Details

sample1.6s

Algorithm

intervals

Results

909.0ms	270×	body	10240	exit
325.0ms	101×	body	2560	valid
135.0ms	87×	body	1280	valid
75.0ms	513×	body	80	nan
35.0ms	39×	body	640	valid
13.0ms	16×	body	320	valid
4.0ms	9×	body	160	valid
1.0ms	4×	body	80	valid

simplify14.7s

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: 60.5b

localize42.0ms

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 39

Calls

4 calls:

0.0ms	(log1p a)
5.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

series200.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(log1p a)
166.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
28.0ms	(fmod (cosh a) (* a a))

simplify1.0s

Counts

51 → 51

Iterations

Iter	Nodes
4	2606
3	721
2	289
1	132
0	58

prune583.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.6b

localize51.0ms

Local error

Found 4 expressions with local error:

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))

rewrite16.0ms

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×	`add-cbrt-cube` `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 → 51

Calls

4 calls:

8.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
2.0ms	(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))

series141.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
5.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

63 → 63

Iterations

Iter	Nodes
4	4601
3	937
2	389
1	190
0	81

prune867.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 58.6b

localize53.0ms

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))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

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

series14.0ms

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))

simplify6.7s

Counts

56 → 56

Iterations

Iter	Nodes
8	5616
7	1366
6	501
5	229
4	125
3	88
2	71
1	57
0	36

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 58.6b

localize82.0ms

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×	`add-cbrt-cube` `add-exp-log` `log-pow` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`rem-log-exp`

Counts

4 → 36

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))

simplify6.4s

Counts

48 → 48

Iterations

Iter	Nodes
8	5616
7	1366
6	501
5	229
4	125
3	88
2	71
1	57
0	36

prune905.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 58.6b

regimes178.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
1	11
0	11

end0.0ms

sample36.1s

Algorithm

intervals

Results

20.2s	7894×	body	10240	exit
7.8s	3204×	body	2560	valid
3.5s	2448×	body	1280	valid
2.5s	16087×	body	80	nan
1.0s	1283×	body	640	valid
327.0ms	608×	body	320	valid
126.0ms	333×	body	160	valid
22.0ms	124×	body	80	valid
15.0ms	10×	body	2560	nan
13.0ms	5×	body	5120	nan
10.0ms	10×	body	1280	nan
6.0ms	9×	body	640	nan
3.0ms	7×	body	320	nan
1.0ms	4×	body	160	nan