Details

sample1.2s

Algorithm

intervals

Results

610.0ms	250×	body	10240	exit
289.0ms	110×	body	2560	valid
82.0ms	78×	body	1280	valid
41.0ms	522×	body	80	nan
17.0ms	30×	body	640	valid
9.0ms	23×	body	320	valid
4.0ms	1×	body	5120	nan
2.0ms	9×	body	160	valid
1.0ms	6×	body	80	valid
0.0ms	1×	body	160	nan

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5041
7	3478
6	774
5	199
4	87
3	44
2	24
1	16
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.4b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
59.9b	(fmod (cosh a) (* a a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 32

Calls

3 calls:

6.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series156.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
14.0ms	(fmod (cosh a) (* a a))

simplify2.7s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
4	2219
3	803
2	267
1	126
0	54

prune228.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
1.4b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
12.1b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(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))

series209.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
7.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
5.0ms	(fmod (cosh a) (* a a))

simplify2.9s

Counts

63 → 63

Iterations

Iter	Nodes
done	6092
4	3310
3	1145
2	398
1	191
0	81

prune417.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize127.0ms

Local error

Found 4 expressions with local error:

12.1b	(log (exp (fmod (cosh a) (* a a))))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(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))
1.0ms	(fmod (cosh a) (* a a))

series19.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(log (exp (fmod (cosh a) (* a a))))
6.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify3.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
7	1832
6	593
5	300
4	170
3	115
2	81
1	58
0	36

prune472.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize113.0ms

Local error

Found 4 expressions with local error:

59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite1.0ms

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))

series10.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(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))

simplify3.2s

Counts

40 → 40

Iterations

Iter	Nodes
done	5013
9	3326
8	1095
7	490
6	274
5	146
4	96
3	61
2	42
1	27
0	14

prune402.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 59.7b

regimes190.0ms

Accuracy

0% (0.4b remaining)

Error of 60.2b against oracle of 59.8b and baseline of 60.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample34.4s

Algorithm

intervals

Results

20.3s	8013×	body	10240	exit
6.7s	3122×	body	2560	valid
3.4s	2556×	body	1280	valid
1.8s	16125×	body	80	nan
1.1s	1243×	body	640	valid
282.0ms	620×	body	320	valid
96.0ms	330×	body	160	valid
18.0ms	6×	body	5120	nan
18.0ms	129×	body	80	valid
6.0ms	4×	body	2560	nan
4.0ms	6×	body	1280	nan
2.0ms	4×	body	640	nan
1.0ms	4×	body	160	nan
1.0ms	3×	body	320	nan