Details

sample1.6s

Algorithm

intervals

Results

804.0ms	284×	body	10240	exit
288.0ms	93×	body	2560	valid
97.0ms	86×	body	1280	valid
42.0ms	526×	body	80	nan
26.0ms	42×	body	640	valid
13.0ms	31×	body	320	valid
4.0ms	1×	body	5120	nan
1.0ms	1×	body	1280	nan
1.0ms	1×	body	2560	nan
1.0ms	2×	body	160	valid
0.0ms	2×	body	80	valid

simplify3.3s

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: 62.1b

localize17.0ms

Local error

Found 2 expressions with local error:

1.9b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.3b	(fmod (cosh a) (* a a))

rewrite3.0ms

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:

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
18.0ms	(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

prune163.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.6b

localize20.0ms

Local error

Found 3 expressions with local error:

1.9b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
10.3b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))

rewrite8.0ms

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:

4.0ms	(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))

series9.0ms

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))

simplify3.1s

Counts

39 → 39

Iterations

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

prune282.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.6b

localize92.0ms

Local error

Found 4 expressions with local error:

10.3b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))

rewrite3.0ms

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:

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))

series11.0ms

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))

simplify1.5s

Counts

48 → 48

Iterations

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

prune431.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 60.6b

localize104.0ms

Local error

Found 4 expressions with local error:

60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))
60.3b	(fmod (cosh a) (* a a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

0.0ms	(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:

4.0ms	(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))

simplify1.0s

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
7	2715
6	888
5	355
4	168
3	97
2	55
1	27
0	14

prune410.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.6b

regimes415.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.9b and baseline of 60.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample34.6s

Algorithm

intervals

Results

20.7s	8027×	body	10240	exit
7.0s	3172×	body	2560	valid
3.5s	2520×	body	1280	valid
1.6s	16001×	body	80	nan
682.0ms	1238×	body	640	valid
245.0ms	634×	body	320	valid
86.0ms	317×	body	160	valid
22.0ms	8×	body	5120	nan
16.0ms	119×	body	80	valid
5.0ms	5×	body	2560	nan
3.0ms	4×	body	1280	nan
3.0ms	6×	body	640	nan
3.0ms	12×	body	160	nan
1.0ms	4×	body	320	nan