Details

sample2.2s

Algorithm

intervals

Results

1.2s	251×	body	10240	exit
310.0ms	112×	body	2560	valid
261.0ms	527×	body	80	nan
111.0ms	80×	body	1280	valid
59.0ms	31×	body	640	valid
12.0ms	19×	body	320	valid
5.0ms	10×	body	160	valid
1.0ms	4×	body	80	valid
1.0ms	2×	body	160	nan

simplify60.0ms

Calls

1 calls:

Slowest

60.0ms

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

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.3b

localize35.0ms

Local error

Found 3 expressions with local error:

59.9b	(fmod (cosh a) (* a a))
2.0b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
0.0b	(pow (fmod (cosh a) (* a a)) (log1p a))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-exp-log`
3×	`pow-unpow` `unpow-prod-down` `add-cbrt-cube` `insert-posit16` `add-log-exp`
1×	`acos-asin` `pow-to-exp` `pow-pow` `pow-exp`

Calls

3 calls:

Slowest

4.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
2.0ms	(fmod (cosh a) (* a a))

series167.0ms

Calls

3 calls:

Slowest

150.0ms	(pow (fmod (cosh a) (* a a)) (log1p a))
13.0ms	(fmod (cosh a) (* a a))
4.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))

simplify388.0ms

Calls

17 calls:

Slowest

58.0ms	(* (log (fmod (cosh a) (* a a))) (log1p a))
44.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
42.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
41.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))
40.0ms	(exp (* (log (fmod (cosh a) (pow a 2))) (log1p a)))

prune496.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.2b

localize23.0ms

Local error

Found 4 expressions with local error:

59.9b	(fmod (cosh a) (* a a))
10.6b	(log (exp (fmod (cosh a) (* a a))))
2.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
0.0b	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`log-pow`
7×	`pow1` `unpow-prod-down`
6×	`exp-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `log-prod`
1×	`acos-asin` `pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Calls

4 calls:

Slowest

7.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
6.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
5.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series153.0ms

Calls

4 calls:

Slowest

144.0ms	(pow (log (exp (fmod (cosh a) (* a a)))) (log1p a))
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))))

simplify668.0ms

Calls

31 calls:

Slowest

58.0ms	(* (log (log (exp (fmod (cosh a) (* a a))))) (log1p a))
52.0ms	(pow (cbrt (fmod (cosh a) (* a a))) (log1p a))
45.0ms	(log (exp (fmod (cosh a) (* a a))))
44.0ms	(log (sqrt (exp (fmod (cosh a) (* a a)))))
42.0ms	(acos (pow (fmod (cosh a) (pow a 2)) (log1p a)))

prune720.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 59.2b

localize22.0ms

Local error

Found 4 expressions with local error:

59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
10.0b	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a))))))

rewrite8.0ms

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`

Calls

4 calls:

Slowest

6.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (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))

series201.0ms

Calls

4 calls:

Slowest

191.0ms	(log (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (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))

simplify388.0ms

Calls

18 calls:

Slowest

70.0ms	(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))))))))
66.0ms	(log (sqrt (exp (* (cbrt (fmod (cosh a) (* a a))) (cbrt (fmod (cosh a) (* a a)))))))
50.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
33.0ms	(pow (pow (fmod (cosh a) (pow a 2)) 2) 1/3)
30.0ms	(cbrt (fmod (cosh a) (* a a)))

prune794.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 59.2b

localize41.0ms

Local error

Found 4 expressions with local error:

59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))
59.9b	(fmod (cosh a) (* a a))

rewrite1.0ms

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))

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))

simplify82.0ms

Calls

12 calls:

Slowest

9.0ms	(fmod (cosh a) (pow a 2))
8.0ms	(fmod (cosh a) (pow a 2))
8.0ms	(fmod (cosh a) (pow a 2))
7.0ms	(fmod (cosh a) (pow a 2))
6.0ms	(fmod (cosh a) (pow a 2))

prune874.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 59.2b

regimes439.0ms

Accuracy

0% (0.2b remaining)

Error of 59.6b against oracle of 59.3b and baseline of 59.6b

bsearch8.0ms

end0.0ms

sample33.2s

Algorithm

intervals

Results

19.0s	7926×	body	10240	exit
6.9s	3224×	body	2560	valid
3.2s	2554×	body	1280	valid
2.5s	16167×	body	80	nan
818.0ms	1217×	body	640	valid
287.0ms	629×	body	320	valid
88.0ms	277×	body	160	valid
17.0ms	7×	body	5120	nan
16.0ms	99×	body	80	valid
9.0ms	7×	body	2560	nan
7.0ms	8×	body	1280	nan
4.0ms	6×	body	640	nan
4.0ms	9×	body	320	nan
2.0ms	8×	body	160	nan