Details

sample1.7s

Algorithm

intervals

Results

719.0ms	251×	body	10240	exit
316.0ms	114×	body	2560	valid
102.0ms	72×	body	1280	valid
97.0ms	508×	body	80	nan
34.0ms	38×	body	640	valid
13.0ms	22×	body	320	valid
3.0ms	8×	body	160	valid
1.0ms	2×	body	160	nan
1.0ms	2×	body	80	valid
0.0ms	1×	body	320	nan

simplify139.0ms

Calls

1 calls:

Slowest

138.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize41.0ms

Local error

Found 2 expressions with local error:

60.2b	(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`

Calls

2 calls:

Slowest

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

series18.0ms

Calls

2 calls:

Slowest

14.0ms	(fmod (cosh a) (* a a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify194.0ms

Calls

6 calls:

Slowest

61.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
55.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
51.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
11.0ms	(fmod (cosh a) (pow a 2))
7.0ms	(fmod (cosh a) (pow a 2))

prune280.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.8b

localize44.0ms

Local error

Found 3 expressions with local error:

60.2b	(fmod (cosh a) (* a a))
11.2b	(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`

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))

series11.0ms

Calls

3 calls:

Slowest

6.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

simplify334.0ms

Calls

16 calls:

Slowest

59.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
52.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
43.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
40.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
32.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))

prune506.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.8b

localize51.0ms

Local error

Found 4 expressions with local error:

60.2b	(fmod (cosh a) (* a a))
60.2b	(fmod (cosh a) (* a a))
60.2b	(fmod (cosh a) (* a a))
10.8b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

6.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
1.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series202.0ms

Calls

4 calls:

Slowest

191.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))
4.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify686.0ms

Calls

18 calls:

Slowest

155.0ms	(log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))
140.0ms	(log (* (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))) (cbrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))))
71.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
61.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
56.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)

prune774.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.8b

localize37.0ms

Local error

Found 4 expressions with local error:

60.2b	(fmod (cosh a) (* a a))
60.2b	(fmod (cosh a) (* a a))
60.2b	(fmod (cosh a) (* a a))
11.2b	(log (exp (fmod (cosh a) (* a a))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

2.0ms	(log (exp (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

Calls

4 calls:

Slowest

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

simplify295.0ms

Calls

19 calls:

Slowest

49.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
47.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
17.0ms	(sqrt (fmod (cosh a) (* a a)))
16.0ms	(cbrt (fmod (cosh a) (* a a)))
15.0ms	(fmod (cosh a) (pow a 2))

prune747.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.8b

regimes365.0ms

Accuracy

0% (0.3b remaining)

Error of 59.2b against oracle of 58.9b and baseline of 59.2b

bsearch4.0ms

end0.0ms

sample36.0s

Algorithm

intervals

Results

21.1s	7964×	body	10240	exit
7.2s	3169×	body	2560	valid
3.4s	2450×	body	1280	valid
2.4s	16264×	body	80	nan
892.0ms	1229×	body	640	valid
363.0ms	678×	body	320	valid
125.0ms	351×	body	160	valid
39.0ms	8×	body	2560	nan
27.0ms	10×	body	5120	nan
22.0ms	123×	body	80	valid
5.0ms	5×	body	1280	nan
5.0ms	9×	body	320	nan
2.0ms	9×	body	160	nan
2.0ms	4×	body	640	nan