Details

sample1.6s

Algorithm

intervals

Results

916.0ms	251×	body	10240	exit
358.0ms	114×	body	2560	valid
107.0ms	72×	body	1280	valid
75.0ms	508×	body	80	nan
42.0ms	38×	body	640	valid
15.0ms	22×	body	320	valid
4.0ms	8×	body	160	valid
1.0ms	2×	body	160	nan
0.0ms	2×	body	80	valid
0.0ms	1×	body	320	nan

simplify136.0ms

Calls

1 calls:

Slowest

135.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize36.0ms

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)))

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`

Calls

2 calls:

Slowest

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

series11.0ms

Calls

2 calls:

Slowest

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

simplify182.0ms

Calls

6 calls:

Slowest

56.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
50.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
49.0ms	(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))

prune368.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.8b

localize45.0ms

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)))

rewrite8.0ms

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`

Calls

3 calls:

Slowest

5.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0ms	(fmod (cosh a) (* a a))

series8.0ms

Calls

3 calls:

Slowest

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

simplify461.0ms

Calls

16 calls:

Slowest

79.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
77.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
50.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
48.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
37.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))

prune642.0ms

Pruning

8 alts after pruning (8 fresh and 0 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))
10.8b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

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

series183.0ms

Calls

4 calls:

Slowest

177.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (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))

simplify711.0ms

Calls

18 calls:

Slowest

166.0ms	(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))))))))
146.0ms	(log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))
79.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
75.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
68.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)

prune859.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.8b

localize68.0ms

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))))

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×	`rem-log-exp`

Calls

4 calls:

Slowest

5.0ms	(log (exp (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))

series14.0ms

Calls

4 calls:

Slowest

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

simplify235.0ms

Calls

19 calls:

Slowest

44.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
30.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
18.0ms	(cbrt (fmod (cosh a) (* a a)))
17.0ms	(sqrt (fmod (cosh a) (* a a)))
14.0ms	(fmod (cosh a) (pow a 2))

prune671.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.8b

regimes403.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample34.3s

Algorithm

intervals

Results

20.0s	7964×	body	10240	exit
7.3s	3169×	body	2560	valid
2.8s	2450×	body	1280	valid
2.4s	16264×	body	80	nan
902.0ms	1229×	body	640	valid
365.0ms	678×	body	320	valid
119.0ms	351×	body	160	valid
25.0ms	10×	body	5120	nan
21.0ms	123×	body	80	valid
11.0ms	8×	body	2560	nan
4.0ms	5×	body	1280	nan
4.0ms	9×	body	320	nan
3.0ms	9×	body	160	nan
2.0ms	4×	body	640	nan