Details

sample1.5s

Algorithm

intervals

Results

860.0ms	251×	body	10240	exit
318.0ms	109×	body	2560	valid
127.0ms	72×	body	1280	valid
57.0ms	587×	body	80	nan
29.0ms	44×	body	640	valid
10.0ms	18×	body	320	valid
4.0ms	12×	body	160	valid
3.0ms	1×	body	5120	nan
0.0ms	1×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
7	3480
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize27.0ms

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))

rewrite4.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 19

Calls

2 calls:

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

series21.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
15.0ms	(fmod (cosh a) (* a a))

simplify3.2s

Counts

25 → 25

Iterations

Iter	Nodes
done	5043
7	3481
6	982
5	393
4	204
3	119
2	78
1	55
0	33

prune215.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 60.4b

localize40.0ms

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))

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` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 36

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))))
0.0ms	(fmod (cosh a) (* a a))

series10.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify1.8s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
6	1659
5	575
4	294
3	176
2	120
1	89
0	57

prune289.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.4b

localize54.0ms

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))

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

Counts

4 → 44

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))
1.0ms	(fmod (cosh a) (* a a))

series15.0ms

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

simplify3.4s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
7	1852
6	679
5	340
4	189
3	122
2	86
1	63
0	40

prune486.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 60.4b

localize42.0ms

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))

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` `log1p-expm1-u` `add-log-exp`
2×	`acos-asin`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

3 → 37

Calls

3 calls:

3.0ms	(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))

series12.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
3.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
6	1457
5	593
4	308
3	184
2	128
1	95
0	61

prune223.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 60.4b

regimes406.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample37.2s

Algorithm

intervals

Results

22.0s	7872×	body	10240	exit
8.0s	3116×	body	2560	valid
3.0s	2479×	body	1280	valid
1.7s	16038×	body	80	nan
922.0ms	1300×	body	640	valid
285.0ms	652×	body	320	valid
161.0ms	329×	body	160	valid
38.0ms	13×	body	5120	nan
19.0ms	124×	body	80	valid
9.0ms	10×	body	1280	nan
8.0ms	6×	body	2560	nan
4.0ms	8×	body	640	nan
4.0ms	10×	body	320	nan
2.0ms	6×	body	160	nan