Details

sample1.7s

Algorithm

intervals

Results

824.0ms	243×	body	10240	exit
402.0ms	97×	body	2560	valid
149.0ms	84×	body	1280	valid
77.0ms	481×	body	80	nan
37.0ms	12×	body	160	valid
36.0ms	37×	body	640	valid
11.0ms	19×	body	320	valid
2.0ms	7×	body	80	valid

simplify59.0ms

Calls

1 calls:

Slowest

58.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize33.0ms

Local error

Found 3 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
2.2b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0b	(cosh a)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

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

series60.0ms

Calls

3 calls:

Slowest

49.0ms	(cosh a)
8.0ms	(fmod (cosh a) (* a a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify277.0ms

Calls

9 calls:

Slowest

62.0ms	(* 1/2 (+ (exp (* -1 a)) (exp a)))
42.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
42.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
40.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
37.0ms	(+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1))

prune425.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.4b

localize19.0ms

Local error

Found 4 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
12.2b	(log (exp (fmod (cosh a) (* a a))))
2.2b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0b	(cosh a)

rewrite5.0ms

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×	`acos-asin` `cosh-def` `rem-log-exp`

Calls

4 calls:

Slowest

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

series45.0ms

Calls

4 calls:

Slowest

38.0ms	(cosh a)
3.0ms	(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))))

simplify412.0ms

Calls

19 calls:

Slowest

45.0ms	(* 1/2 (+ (exp (* -1 a)) (exp a)))
44.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
44.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
43.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
42.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune689.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.3b

localize17.0ms

Local error

Found 4 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
11.0b	(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)))

rewrite5.0ms

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`

Calls

4 calls:

Slowest

3.0ms	(log (exp (sqrt (fmod (cosh a) (* a a)))))
2.0ms	(acos (pow (* (sqrt (fmod (cosh a) (* a a))) (log (exp (sqrt (fmod (cosh a) (* a a)))))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series30.0ms

Calls

4 calls:

Slowest

18.0ms	(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))

simplify502.0ms

Calls

22 calls:

Slowest

53.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
47.0ms	(cbrt (sqrt (fmod (cosh a) (* a a))))
46.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
40.0ms	(sqrt (sqrt (fmod (cosh a) (* a a))))
36.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))

prune697.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.3b

localize32.0ms

Local error

Found 4 expressions with local error:

59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))
59.1b	(fmod (cosh a) (* a a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

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))

series14.0ms

Calls

4 calls:

Slowest

4.0ms	(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))

simplify142.0ms

Calls

12 calls:

Slowest

16.0ms	(fmod (cosh a) (pow a 2))
11.0ms	(fmod (cosh a) (pow a 2))
11.0ms	(fmod (cosh a) (pow a 2))
11.0ms	(fmod (cosh a) (pow a 2))
11.0ms	(fmod (cosh a) (pow a 2))

prune770.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 58.3b

regimes430.0ms

Accuracy

0% (0.2b remaining)

Error of 59.1b against oracle of 58.9b and baseline of 59.1b

bsearch5.0ms

end0.0ms

sample35.9s

Algorithm

intervals

Results

20.4s	7915×	body	10240	exit
7.4s	3193×	body	2560	valid
3.5s	2453×	body	1280	valid
2.3s	15914×	body	80	nan
919.0ms	1238×	body	640	valid
408.0ms	337×	body	160	valid
333.0ms	643×	body	320	valid
28.0ms	9×	body	5120	nan
25.0ms	7×	body	1280	nan
24.0ms	136×	body	80	valid
8.0ms	5×	body	2560	nan
4.0ms	5×	body	640	nan
3.0ms	7×	body	320	nan
2.0ms	8×	body	160	nan