Details

sample2.0s

Algorithm

intervals

Results

875.0ms	267×	body	10240	exit
570.0ms	96×	body	2560	valid
108.0ms	70×	body	1280	valid
72.0ms	509×	body	80	nan
48.0ms	55×	body	640	valid
40.0ms	24×	body	320	valid
4.0ms	9×	body	160	valid
2.0ms	2×	body	1280	nan
0.0ms	1×	body	320	nan
0.0ms	2×	body	80	valid

simplify169.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

168.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.9b

localize36.0ms

Local error

Found 2 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
3.5b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

rewrite6.0ms

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`

Counts

2 → 17

Calls

2 calls:

Slowest

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

12.0ms	(fmod (cosh a) (* a a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify213.0ms

Counts

6 → 23

Calls

6 calls:

Slowest

58.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
55.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
55.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
26.0ms	(fmod (cosh a) (pow a 2))
10.0ms	(fmod (cosh a) (pow a 2))

prune209.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.4b

localize21.0ms

Local error

Found 3 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
12.1b	(log (exp (fmod (cosh a) (* a a))))
3.5b	(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`

Counts

3 → 33

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))

series7.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

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))))

simplify372.0ms

Counts

16 → 42

Calls

16 calls:

Slowest

64.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
63.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
48.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
47.0ms	(log (* (cbrt (exp (fmod (cosh a) (* a a)))) (cbrt (exp (fmod (cosh a) (* a a))))))
44.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune485.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.4b

localize62.0ms

Local error

Found 4 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
11.5b	(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×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`log-prod` `log-pow`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 39

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))

series169.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(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))

simplify722.0ms

Counts

18 → 51

Calls

18 calls:

Slowest

165.0ms	(log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))
137.0ms	(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))))))))
85.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
69.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
69.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)

prune752.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.4b

localize74.0ms

Local error

Found 4 expressions with local error:

59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(fmod (cosh a) (* a a))
59.6b	(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`

Counts

4 → 32

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))

series23.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

10.0ms	(fmod (cosh a) (* a a))
5.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))
4.0ms	(fmod (cosh a) (* a a))

simplify137.0ms

Counts

12 → 44

Calls

12 calls:

Slowest

17.0ms	(fmod (cosh a) (pow a 2))
14.0ms	(fmod (cosh a) (pow a 2))
13.0ms	(fmod (cosh a) (pow a 2))
13.0ms	(fmod (cosh a) (pow a 2))
13.0ms	(fmod (cosh a) (pow a 2))

prune707.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 59.4b

regimes385.0ms

Accuracy

0% (0.3b remaining)

Error of 59.4b against oracle of 59.1b and baseline of 59.4b

bsearch2.0ms

end0.0ms

sample33.1s

Algorithm

intervals

Results

19.5s	7896×	body	10240	exit
6.8s	3147×	body	2560	valid
3.0s	2516×	body	1280	valid
1.8s	15855×	body	80	nan
1.0s	1271×	body	640	valid
296.0ms	635×	body	320	valid
100.0ms	308×	body	160	valid
21.0ms	123×	body	80	valid
12.0ms	5×	body	5120	nan
9.0ms	10×	body	1280	nan
8.0ms	5×	body	2560	nan
3.0ms	6×	body	640	nan
2.0ms	9×	body	160	nan
2.0ms	5×	body	320	nan