Details

sample1.4s

Algorithm

intervals

Results

778.0ms	243×	body	10240	exit
272.0ms	97×	body	2560	valid
119.0ms	84×	body	1280	valid
106.0ms	481×	body	80	nan
38.0ms	37×	body	640	valid
13.0ms	19×	body	320	valid
6.0ms	12×	body	160	valid
1.0ms	7×	body	80	valid

simplify107.0ms

Calls

1 calls:

Slowest

107.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize35.0ms

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` `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` `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)

series84.0ms

Calls

3 calls:

Slowest

73.0ms	(cosh a)
8.0ms	(fmod (cosh a) (* a a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify349.0ms

Calls

9 calls:

Slowest

75.0ms	(+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1))
70.0ms	(* 1/2 (+ (exp (* -1 a)) (exp a)))
49.0ms	(* 1/2 (+ (exp a) (exp (- a))))
45.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
40.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune506.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.4b

localize11.0ms

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)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

5.0ms	(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))
0.0ms	(cosh a)

series40.0ms

Calls

4 calls:

Slowest

33.0ms	(cosh a)
2.0ms	(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))))

simplify503.0ms

Calls

19 calls:

Slowest

55.0ms	(+ (* 1/2 (pow a 2)) (+ (* 1/24 (pow a 4)) 1))
53.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
50.0ms	(* 1/2 (+ (exp (* -1 a)) (exp a)))
46.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
45.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune892.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.3b

localize34.0ms

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)))

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×	`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`

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)))
0.0ms	(fmod (cosh a) (* a a))
0.0ms	(fmod (cosh a) (* a a))

series19.0ms

Calls

4 calls:

Slowest

11.0ms	(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)))
3.0ms	(fmod (cosh a) (* a a))
2.0ms	(fmod (cosh a) (* a a))

simplify538.0ms

Calls

22 calls:

Slowest

58.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
45.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
44.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
44.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
33.0ms	(sqrt (fmod (cosh a) (* a a)))

prune953.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 58.3b

localize35.0ms

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))

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`

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

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))

simplify114.0ms

Calls

12 calls:

Slowest

12.0ms	(fmod (cosh a) (pow a 2))
12.0ms	(fmod (cosh a) (pow a 2))
12.0ms	(fmod (cosh a) (pow a 2))
11.0ms	(fmod (cosh a) (pow a 2))
10.0ms	(fmod (cosh a) (pow a 2))

prune931.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 58.3b

regimes367.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample37.9s

Algorithm

intervals

Results

22.0s	7915×	body	10240	exit
8.2s	3193×	body	2560	valid
3.2s	2453×	body	1280	valid
2.4s	15914×	body	80	nan
993.0ms	1238×	body	640	valid
370.0ms	643×	body	320	valid
127.0ms	337×	body	160	valid
28.0ms	9×	body	5120	nan
27.0ms	136×	body	80	valid
9.0ms	5×	body	2560	nan
6.0ms	7×	body	1280	nan
3.0ms	5×	body	640	nan
3.0ms	7×	body	320	nan
2.0ms	8×	body	160	nan