Details

sample1.7s

Algorithm

intervals

Results

937.0ms	252×	body	10240	exit
312.0ms	98×	body	2560	valid
162.0ms	85×	body	1280	valid
84.0ms	518×	body	80	nan
46.0ms	41×	body	640	valid
10.0ms	15×	body	320	valid
6.0ms	12×	body	160	valid
1.0ms	5×	body	80	valid
1.0ms	1×	body	160	nan

simplify153.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

152.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize47.0ms

Local error

Found 2 expressions with local error:

58.4b	(fmod (cosh a) (* a a))
2.6b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
1×	`acos-asin`

Counts

2 → 17

Calls

2 calls:

Slowest

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

11.0ms	(fmod (cosh a) (* a a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify191.0ms

Counts

6 → 23

Calls

6 calls:

Slowest

77.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
48.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
40.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
8.0ms	(fmod (cosh a) (pow a 2))
8.0ms	(fmod (cosh a) (pow a 2))

prune268.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.6b

localize29.0ms

Local error

Found 3 expressions with local error:

58.4b	(fmod (cosh a) (* a a))
12.6b	(log (exp (fmod (cosh a) (* a a))))
2.6b	(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×	`log-prod` `exp-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
1×	`acos-asin` `rem-log-exp`

Counts

3 → 33

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))

series8.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

4.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))
2.0ms	(log (exp (fmod (cosh a) (* a a))))

simplify430.0ms

Counts

16 → 42

Calls

16 calls:

Slowest

66.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
64.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
46.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
45.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
39.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))

prune561.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 58.6b

localize38.0ms

Local error

Found 4 expressions with local error:

58.4b	(fmod (cosh a) (* a a))
58.4b	(fmod (cosh a) (* a a))
11.6b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.6b	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

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))

series33.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

21.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
5.0ms	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify630.0ms

Counts

22 → 56

Calls

22 calls:

Slowest

67.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
56.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
54.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
49.0ms	(cbrt (sqrt (fmod (cosh a) (* a a))))
49.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))

prune915.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.6b

localize65.0ms

Local error

Found 4 expressions with local error:

58.4b	(fmod (cosh a) (* a a))
58.4b	(fmod (cosh a) (* a a))
58.4b	(fmod (cosh a) (* a a))
11.7b	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-pow`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-pow1`
6×	`pow1` `log-prod` `exp-prod` `sqrt-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
1×	`pow1/2` `rem-log-exp`

Counts

4 → 48

Calls

4 calls:

Slowest

3.0ms	(log (sqrt (exp (sqrt (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))

series171.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

166.0ms	(log (sqrt (exp (sqrt (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))

simplify775.0ms

Counts

26 → 60

Calls

26 calls:

Slowest

61.0ms	(log (* (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))) (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))))
58.0ms	(/ (sqrt (sqrt (fmod (cosh a) (* a a)))) 2)
57.0ms	(/ (sqrt (cbrt (fmod (cosh a) (* a a)))) 2)
57.0ms	(/ (cbrt (sqrt (fmod (cosh a) (* a a)))) 2)
55.0ms	(/ (sqrt (sqrt (fmod (cosh a) (* a a)))) 2)

prune927.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 58.6b

regimes482.0ms

Accuracy

0% (0.2b remaining)

Error of 59.2b against oracle of 59.1b and baseline of 59.2b

bsearch4.0ms

end0.0ms

sample35.3s

Algorithm

intervals

Results

20.9s	7967×	body	10240	exit
7.2s	3164×	body	2560	valid
2.9s	2501×	body	1280	valid
2.3s	16275×	body	80	nan
953.0ms	1214×	body	640	valid
414.0ms	692×	body	320	valid
105.0ms	320×	body	160	valid
19.0ms	109×	body	80	valid
12.0ms	4×	body	5120	nan
7.0ms	8×	body	1280	nan
6.0ms	5×	body	2560	nan
4.0ms	11×	body	160	nan
3.0ms	7×	body	320	nan
2.0ms	4×	body	640	nan