Details

sample1.5s

Algorithm

intervals

Results

771.0ms	246×	body	10240	exit
308.0ms	86×	body	2560	valid
123.0ms	99×	body	1280	valid
55.0ms	561×	body	80	nan
24.0ms	37×	body	640	valid
10.0ms	20×	body	320	valid
3.0ms	10×	body	160	valid
2.0ms	1×	body	2560	nan
1.0ms	4×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))
1.7b	(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×	`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:

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))

series108.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
16.0ms	(fmod (cosh a) (* a a))

simplify643.0ms

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
2	1013
1	253
0	99

prune377.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a))
1.7b	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
10.8b	(log (exp (fmod (cosh a) (pow a 2))))
59.9b	(fmod (cosh a) (pow a 2))

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×	`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) (pow a 2)))) (log1p a))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (pow a 2))))
0.0ms	(fmod (cosh a) (pow a 2))

series86.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a))
7.0ms	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
4.0ms	(log (exp (fmod (cosh a) (pow a 2))))
5.0ms	(fmod (cosh a) (pow a 2))

simplify627.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1191
1	309
0	124

prune517.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.8b

localize45.0ms

Local error

Found 4 expressions with local error:

2.9b	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
2.9b	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
59.9b	(fmod (cosh a) (pow a 2))
59.9b	(fmod (cosh a) (pow a 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `add-exp-log` `sqrt-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `rem-log-exp`

Counts

4 → 62

Calls

4 calls:

4.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
3.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))

series306.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
129.0ms	(log (sqrt (exp (fmod (cosh a) (pow a 2)))))
12.0ms	(fmod (cosh a) (pow a 2))
5.0ms	(fmod (cosh a) (pow a 2))

simplify1.5s

Counts

74 → 74

Iterations

Iter	Nodes
done	5002
6	2102
5	656
4	286
3	166
2	102
1	69
0	48

prune553.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.8b

localize58.0ms

Local error

Found 4 expressions with local error:

2.9b	(log (sqrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
59.9b	(fmod (cosh a) (pow a 2))
59.9b	(fmod (cosh a) (pow a 2))
59.9b	(fmod (cosh a) (pow a 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`sqrt-pow1`
9×	`log-prod` `sqrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
7×	`pow1`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
2×	`pow1/2`
1×	`rem-log-exp`

Counts

4 → 54

Calls

4 calls:

4.0ms	(log (sqrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))
0.0ms	(fmod (cosh a) (pow a 2))

series405.0ms

Counts

4 → 12

Calls

4 calls:

397.0ms	(log (sqrt (sqrt (exp (fmod (cosh a) (pow a 2))))))
2.0ms	(fmod (cosh a) (pow a 2))
2.0ms	(fmod (cosh a) (pow a 2))
3.0ms	(fmod (cosh a) (pow a 2))

simplify1.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5002
6	2172
5	674
4	302
3	182
2	119
1	85
0	62

prune676.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.7b

regimes143.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	22

end0.0ms

sample36.5s

Algorithm

intervals

Results

22.0s	7850×	body	10240	exit
7.4s	3140×	body	2560	valid
2.8s	2471×	body	1280	valid
1.9s	16189×	body	80	nan
878.0ms	1292×	body	640	valid
308.0ms	630×	body	320	valid
155.0ms	333×	body	160	valid
23.0ms	8×	body	5120	nan
20.0ms	134×	body	80	valid
17.0ms	11×	body	2560	nan
7.0ms	9×	body	1280	nan
3.0ms	8×	body	320	nan
3.0ms	5×	body	640	nan
2.0ms	10×	body	160	nan