Details

sample1.8s

Algorithm

intervals

Results

773.0ms	97×	body	2560	valid
647.0ms	219×	body	10240	exit
127.0ms	86×	body	1280	valid
45.0ms	487×	body	80	nan
23.0ms	38×	body	640	valid
10.0ms	25×	body	320	valid
3.0ms	8×	body	160	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	320	nan
0.0ms	2×	body	80	valid

simplify2.7s

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

localize32.0ms

Local error

Found 2 expressions with local error:

2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.8b	(fmod (cosh a) (* a a))

rewrite6.0ms

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:

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
17.0ms	(fmod (cosh a) (* a a))

simplify2.4s

Counts

21 → 21

Iterations

Iter	Nodes
done	5002
6	4031
5	804
4	300
3	171
2	101
1	52
0	29

prune144.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 60.7b

localize20.0ms

Local error

Found 3 expressions with local error:

2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
11.7b	(log (exp (fmod (cosh a) (* a a))))
60.8b	(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×	`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:

2.0ms	(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))

series19.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
4.0ms	(fmod (cosh a) (* a a))

simplify2.6s

Counts

39 → 39

Iterations

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

prune220.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 60.7b

localize37.0ms

Local error

Found 3 expressions with local error:

1.1b	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.8b	(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`
2×	`acos-asin`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

3 → 31

Calls

3 calls:

5.0ms	(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))

series18.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(log (exp (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))
7.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
5.0ms	(fmod (cosh a) (* a a))

simplify2.9s

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
6	4916
5	1008
4	405
3	245
2	155
1	90
0	55

prune304.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.7b

localize62.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))
1.1b	(log (exp (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))))
2.2b	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
60.8b	(fmod (cosh a) (pow a 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`pow1` `exp-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`exp-sum`
2×	`rem-log-exp`
1×	`acos-asin`

Counts

4 → 45

Calls

4 calls:

1.0ms	(log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))
7.0ms	(log (exp (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))))
1.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
0.0ms	(fmod (cosh a) (pow a 2))

series129.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a))))
4.0ms	(log (exp (exp (log (acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))))))
4.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
3.0ms	(fmod (cosh a) (pow a 2))

simplify793.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
5	1138
4	415
3	250
2	158
1	101
0	70

prune417.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.7b

regimes304.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample35.1s

Algorithm

intervals

Results

20.0s	8035×	body	10240	exit
7.3s	3238×	body	2560	valid
3.3s	2452×	body	1280	valid
2.7s	15861×	body	80	nan
711.0ms	1198×	body	640	valid
293.0ms	658×	body	320	valid
94.0ms	333×	body	160	valid
17.0ms	121×	body	80	valid
15.0ms	6×	body	5120	nan
6.0ms	5×	body	2560	nan
6.0ms	12×	body	640	nan
5.0ms	6×	body	1280	nan
3.0ms	7×	body	320	nan
2.0ms	10×	body	160	nan