Details

sample1.4s

Algorithm

intervals

Results

592.0ms	219×	body	10240	exit
230.0ms	97×	body	2560	valid
100.0ms	86×	body	1280	valid
87.0ms	487×	body	80	nan
23.0ms	38×	body	640	valid
11.0ms	25×	body	320	valid
2.0ms	8×	body	160	valid
1.0ms	1×	body	640	nan
1.0ms	1×	body	320	nan
0.0ms	2×	body	80	valid

simplify2.8s

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: 62.1b

localize28.0ms

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` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 19

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)))
16.0ms	(fmod (cosh a) (* a a))

simplify3.0s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
6	4025
5	808
4	303
3	174
2	103
1	55
0	33

prune209.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 60.7b

localize19.0ms

Local error

Found 3 expressions with local error:

2.2b	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
11.7b	(log (exp (fmod (cosh a) (pow a 2))))
60.8b	(fmod (cosh a) (pow a 2))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 36

Calls

3 calls:

1.0ms	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (pow a 2))))
0.0ms	(fmod (cosh a) (pow a 2))

series11.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(acos (pow (log (exp (fmod (cosh a) (pow a 2)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (pow a 2))))
3.0ms	(fmod (cosh a) (pow a 2))

simplify2.5s

Counts

45 → 45

Iterations

Iter	Nodes
done	5001
6	4880
5	966
4	360
3	193
2	119
1	82
0	55

prune322.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 60.7b

localize28.0ms

Local error

Found 3 expressions with local error:

1.1b	(log (exp (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))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `log-pow`
3×	`expm1-log1p-u` `log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`acos-asin`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

3 → 37

Calls

3 calls:

3.0ms	(log (exp (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))

series10.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(log (exp (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))

simplify2.3s

Counts

46 → 46

Iterations

Iter	Nodes
done	5000
6	4736
5	960
4	354
3	187
2	115
1	83
0	57

prune305.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.7b

localize54.0ms

Local error

Found 4 expressions with local error:

0.8b	(log (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
1.1b	(log (exp (exp (log (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))

rewrite9.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum`
2×	`rem-log-exp`
1×	`acos-asin`

Counts

4 → 53

Calls

4 calls:

1.0ms	(log (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
5.0ms	(log (exp (exp (log (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))

series132.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(log (acos (pow (fmod (cosh a) (* a a)) (log1p a))))
4.0ms	(log (exp (exp (log (acos (pow (fmod (cosh a) (* a a)) (log1p a)))))))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
3.0ms	(fmod (cosh a) (* a a))

simplify712.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
5	1331
4	558
3	340
2	213
1	122
0	83

prune385.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.7b

regimes270.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
0	10

end0.0ms

sample33.8s

Algorithm

intervals

Results

19.9s	8035×	body	10240	exit
8.1s	3238×	body	2560	valid
2.4s	2452×	body	1280	valid
1.4s	15861×	body	80	nan
744.0ms	1198×	body	640	valid
285.0ms	658×	body	320	valid
122.0ms	333×	body	160	valid
17.0ms	121×	body	80	valid
17.0ms	6×	body	5120	nan
6.0ms	5×	body	2560	nan
6.0ms	12×	body	640	nan
4.0ms	6×	body	1280	nan
2.0ms	7×	body	320	nan
2.0ms	10×	body	160	nan