Details

sample1.6s

Algorithm

intervals

Results

880.0ms	242×	body	10240	exit
338.0ms	111×	body	2560	valid
119.0ms	72×	body	1280	valid
105.0ms	523×	body	80	nan
41.0ms	44×	body	640	valid
12.0ms	18×	body	320	valid
4.0ms	7×	body	160	valid
2.0ms	2×	body	320	nan
1.0ms	4×	body	80	valid

simplify163.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

162.0ms

(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize27.0ms

Local error

Found 2 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite4.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin`

Counts

2 → 21

Calls

2 calls:

Slowest

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

8.0ms	(fmod (cosh a) (* a a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify176.0ms

Counts

6 → 27

Calls

6 calls:

Slowest

54.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
40.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
38.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
26.0ms	(fmod (cosh a) (pow a 2))
10.0ms	(fmod (cosh a) (pow a 2))

prune277.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.4b

localize26.0ms

Local error

Found 3 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
11.9b	(log (exp (fmod (cosh a) (* a a))))
2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 39

Calls

3 calls:

Slowest

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

series7.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify393.0ms

Counts

16 → 48

Calls

16 calls:

Slowest

68.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
59.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
57.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
52.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
39.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))

prune515.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.4b

localize38.0ms

Local error

Found 4 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
11.2b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.2b	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`exp-prod`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `sqrt-prod`
1×	`acos-asin` `rem-log-exp`

Counts

4 → 52

Calls

4 calls:

Slowest

6.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
3.0ms	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series27.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

17.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

simplify619.0ms

Counts

22 → 64

Calls

22 calls:

Slowest

81.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
56.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
51.0ms	(sqrt (cbrt (fmod (cosh a) (* a a))))
50.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
49.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))

prune701.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.4b

localize54.0ms

Local error

Found 4 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))

rewrite1.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

Slowest

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))

series8.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify178.0ms

Counts

12 → 52

Calls

12 calls:

Slowest

20.0ms	(fmod (cosh a) (pow a 2))
15.0ms	(fmod (cosh a) (pow a 2))
14.0ms	(fmod (cosh a) (pow a 2))
14.0ms	(fmod (cosh a) (pow a 2))
14.0ms	(fmod (cosh a) (pow a 2))

prune880.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 59.4b

regimes339.0ms

Accuracy

0% (0.1b remaining)

Error of 59.3b against oracle of 59.2b and baseline of 59.3b

bsearch3.0ms

end0.0ms

sample34.1s

Algorithm

intervals

Results

19.5s	7739×	body	10240	exit
7.3s	3209×	body	2560	valid
3.0s	2528×	body	1280	valid
2.5s	15980×	body	80	nan
947.0ms	1275×	body	640	valid
282.0ms	577×	body	320	valid
119.0ms	297×	body	160	valid
20.0ms	114×	body	80	valid
11.0ms	8×	body	2560	nan
8.0ms	9×	body	1280	nan
6.0ms	9×	body	640	nan
5.0ms	2×	body	5120	nan
3.0ms	8×	body	320	nan
2.0ms	8×	body	160	nan