Details

sample1.6s

Algorithm

intervals

Results

925.0ms	286×	body	10240	exit
358.0ms	106×	body	2560	valid
136.0ms	79×	body	1280	valid
68.0ms	486×	body	80	nan
36.0ms	40×	body	640	valid
14.0ms	21×	body	320	valid
3.0ms	6×	body	160	valid
1.0ms	4×	body	80	valid

simplify35.0ms

Calls

1 calls:

Slowest

34.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize32.0ms

Local error

Found 2 expressions with local error:

59.2b	(fmod (cosh a) (* a a))
1.4b	(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))

series12.0ms

Calls

2 calls:

Slowest

9.0ms	(fmod (cosh a) (* a a))
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify130.0ms

Calls

6 calls:

Slowest

52.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
35.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
23.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
6.0ms	(fmod (cosh a) (pow a 2))
6.0ms	(fmod (cosh a) (pow a 2))

prune274.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.2b

localize11.0ms

Local error

Found 3 expressions with local error:

59.2b	(fmod (cosh a) (* a a))
9.6b	(log (exp (fmod (cosh a) (* a a))))
1.4b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))

rewrite6.0ms

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

3.0ms	(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))

series12.0ms

Calls

3 calls:

Slowest

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

simplify277.0ms

Calls

16 calls:

Slowest

47.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
40.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
36.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
32.0ms	(cbrt (fmod (cosh a) (* a a)))
22.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune651.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.2b

localize31.0ms

Local error

Found 4 expressions with local error:

59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
9.0b	(log (exp (sqrt (fmod (cosh a) (* a a)))))
1.4b	(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))

series32.0ms

Calls

4 calls:

Slowest

20.0ms	(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))

simplify505.0ms

Calls

22 calls:

Slowest

71.0ms	(log (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a)))))))
43.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
40.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
38.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
35.0ms	(sqrt (cbrt (fmod (cosh a) (* a a))))

prune926.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 59.2b

localize37.0ms

Local error

Found 4 expressions with local error:

59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
59.2b	(fmod (cosh a) (* a a))
9.1b	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `log-prod` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-prod`
2×	`log-pow`
1×	`pow1/2` `rem-log-exp`

Calls

4 calls:

Slowest

5.0ms	(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))

series193.0ms

Calls

4 calls:

Slowest

183.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))
3.0ms	(fmod (cosh a) (* a a))

simplify414.0ms

Calls

19 calls:

Slowest

59.0ms	(log (sqrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))))
50.0ms	(log (* (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))) (cbrt (sqrt (exp (sqrt (fmod (cosh a) (* a a))))))))
43.0ms	(log (sqrt (* (cbrt (exp (sqrt (fmod (cosh a) (* a a))))) (cbrt (exp (sqrt (fmod (cosh a) (* a a))))))))
39.0ms	(log (sqrt (exp (sqrt (fmod (cosh a) (pow a 2))))))
36.0ms	(log (sqrt (sqrt (exp (sqrt (fmod (cosh a) (* a a)))))))

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 59.2b

regimes418.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample33.6s

Algorithm

intervals

Results

19.2s	7833×	body	10240	exit
7.4s	3221×	body	2560	valid
2.9s	2537×	body	1280	valid
2.2s	15946×	body	80	nan
876.0ms	1202×	body	640	valid
377.0ms	598×	body	320	valid
106.0ms	321×	body	160	valid
23.0ms	9×	body	5120	nan
20.0ms	121×	body	80	valid
13.0ms	9×	body	2560	nan
7.0ms	8×	body	1280	nan
4.0ms	6×	body	640	nan
2.0ms	9×	body	160	nan
2.0ms	5×	body	320	nan