Details

sample1.7s

Algorithm

intervals

Results

944.0ms	251×	body	10240	exit
294.0ms	109×	body	2560	valid
139.0ms	587×	body	80	nan
88.0ms	72×	body	1280	valid
31.0ms	44×	body	640	valid
10.0ms	18×	body	320	valid
5.0ms	12×	body	160	valid
2.0ms	1×	body	5120	nan
0.0ms	1×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3169
5	373
4	91
3	44
2	24
1	16
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize25.0ms

Local error

Found 2 expressions with local error:

1.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.2b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
1×	`acos-asin`

Counts

2 → 15

Calls

2 calls:

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.9s

Counts

21 → 21

Iterations

Iter	Nodes
done	5002
6	4031
5	804
4	300
3	171
2	101
1	52
0	29

prune147.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.4b

localize22.0ms

Local error

Found 3 expressions with local error:

1.8b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.5b	(log (exp (fmod (cosh a) (* a a))))
60.2b	(fmod (cosh a) (* a a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 30

Calls

3 calls:

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))

series14.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(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))

simplify3.2s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
6	4802
5	985
4	386
3	234
2	148
1	84
0	51

prune229.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.4b

localize51.0ms

Local error

Found 4 expressions with local error:

10.5b	(log (exp (fmod (cosh a) (* a a))))
60.2b	(fmod (cosh a) (* a a))
60.2b	(fmod (cosh a) (* a a))
60.2b	(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))

series18.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))

simplify1.6s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1589
5	537
4	257
3	161
2	104
1	59
0	36

prune362.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 60.4b

localize37.0ms

Local error

Found 3 expressions with local error:

0.9b	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
1.8b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.2b	(fmod (cosh a) (* a a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-pow`
3×	`log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`acos-asin`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

3 → 31

Calls

3 calls:

5.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series17.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
6.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
4.0ms	(fmod (cosh a) (* a a))

simplify3.2s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
6	4916
5	1008
4	405
3	245
2	155
1	90
0	55

prune220.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 60.4b

regimes490.0ms

Accuracy

0% (0.4b remaining)

Error of 60.1b against oracle of 59.7b and baseline of 60.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample34.1s

Algorithm

intervals

Results

20.4s	7872×	body	10240	exit
6.8s	3116×	body	2560	valid
2.7s	2479×	body	1280	valid
1.7s	16038×	body	80	nan
1.2s	1300×	body	640	valid
364.0ms	652×	body	320	valid
95.0ms	329×	body	160	valid
34.0ms	13×	body	5120	nan
18.0ms	124×	body	80	valid
9.0ms	10×	body	1280	nan
8.0ms	6×	body	2560	nan
4.0ms	8×	body	640	nan
3.0ms	10×	body	320	nan
1.0ms	6×	body	160	nan