Details

sample1.1s

Algorithm

intervals

Results

589.0ms	250×	body	10240	exit
273.0ms	110×	body	2560	valid
80.0ms	78×	body	1280	valid
70.0ms	522×	body	80	nan
16.0ms	30×	body	640	valid
9.0ms	23×	body	320	valid
4.0ms	1×	body	5120	nan
3.0ms	9×	body	160	valid
1.0ms	6×	body	80	valid
0.0ms	1×	body	160	nan

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
7	3480
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

localize18.0ms

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))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `unpow-prod-down` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 38

Calls

3 calls:

3.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
1.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series104.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
9.0ms	(fmod (cosh a) (* a a))

simplify3.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5212
3	2801
2	731
1	247
0	99

prune264.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.7b

localize39.0ms

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))

rewrite15.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 59

Calls

4 calls:

7.0ms	(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))

series65.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
6.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))

simplify2.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	5023
3	3223
2	866
1	314
0	128

prune510.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.7b

localize107.0ms

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))

rewrite8.0ms

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:

5.0ms	(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))

series20.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify3.0s

Counts

56 → 56

Iterations

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

prune596.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.7b

localize110.0ms

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))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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`

Counts

4 → 36

Calls

4 calls:

0.0ms	(fmod (cosh a) (* a a))
1.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series19.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(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))

simplify3.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5025
9	3731
8	1219
7	528
6	280
5	164
4	99
3	63
2	44
1	29
0	16

prune479.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.7b

regimes295.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	19
1	19
0	18

end0.0ms

sample33.6s

Algorithm

intervals

Results

20.3s	8013×	body	10240	exit
7.0s	3122×	body	2560	valid
3.2s	2556×	body	1280	valid
1.4s	16125×	body	80	nan
693.0ms	1243×	body	640	valid
266.0ms	620×	body	320	valid
91.0ms	330×	body	160	valid
17.0ms	6×	body	5120	nan
17.0ms	129×	body	80	valid
6.0ms	4×	body	2560	nan
4.0ms	6×	body	1280	nan
2.0ms	4×	body	640	nan
1.0ms	3×	body	320	nan
1.0ms	4×	body	160	nan