Details

sample39.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
12.0ms	259×	body	80	nan

simplify5.0ms

Calls

1 calls:

Slowest

5.0ms

(/ a (- (acos a)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ a (- (acos a)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-/r*`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
1×	`pow1` `clear-num` `neg-mul-1` `frac-2neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

2.0ms

(/ a (- (acos a)))

series46.0ms

Calls

1 calls:

Slowest

46.0ms

(/ a (- (acos a)))

simplify111.0ms

Calls

13 calls:

Slowest

31.0ms	(* -1 (/ a (acos a)))
23.0ms	(* -1 (/ a (acos a)))
20.0ms	(* -1 (/ a (acos a)))
5.0ms	(sqrt (- (acos a)))
5.0ms	(cbrt (- (acos a)))

prune138.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (/ (- (acos a)) a))
0.3b	(/ (- (acos a)) a)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-/l*`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-/r*`
3×	`distribute-lft-neg-in` `pow1` `distribute-rgt-neg-in` `add-exp-log` `div-inv`
2×	`clear-num` `frac-2neg` `add-cbrt-cube` `insert-posit16` `add-log-exp`
1×	`neg-sub0` `rec-exp` `neg-mul-1` `div-sub` `distribute-frac-neg` `associate-/r/` `pow-flip` `inv-pow`

Calls

2 calls:

Slowest

6.0ms	(/ (- (acos a)) a)
2.0ms	(/ 1 (/ (- (acos a)) a))

series65.0ms

Calls

2 calls:

Slowest

40.0ms	(/ (- (acos a)) a)
25.0ms	(/ 1 (/ (- (acos a)) a))

simplify209.0ms

Calls

20 calls:

Slowest

36.0ms	(* -1 (/ a (acos a)))
33.0ms	(* -1 (/ a (acos a)))
29.0ms	(* -1 (/ (acos a) a))
17.0ms	(* -1 (/ (acos a) a))
17.0ms	(* -1 (/ a (acos a)))

prune316.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ (/ 1 (- (acos a))) (/ 1 a))
0.0b	(/ 1 (- (acos a)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`times-frac`
15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
12×	`div-inv`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/l*`
3×	`distribute-lft-neg-in` `pow1` `distribute-rgt-neg-in`
2×	`rec-exp` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `neg-mul-1` `associate-/r/` `pow-flip` `inv-pow` `associate-/l/`

Calls

2 calls:

Slowest

7.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
2.0ms	(/ 1 (- (acos a)))

series40.0ms

Calls

2 calls:

Slowest

34.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
5.0ms	(/ 1 (- (acos a)))

simplify2.1s

Calls

58 calls:

Slowest

917.0ms	(/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
84.0ms	(- (log (/ 1 (- (acos a)))) (log (/ 1 a)))
83.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
75.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
75.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))

prune381.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))
0.0b	(log (exp (/ 1 (- (acos a)))))
0.0b	(/ 1 (- (acos a)))
0.0b	(exp (/ 1 (- (acos a))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

32×	`times-frac`
30×	`log-pow`
29×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`exp-prod`
18×	`div-inv`
14×	`associate-/r*`
11×	`pow1`
8×	`associate-/l*`
7×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`add-log-exp`
4×	`insert-posit16`
3×	`distribute-lft-neg-in` `log-prod` `distribute-rgt-neg-in`
2×	`clear-num` `frac-2neg`
1×	`cbrt-undiv` `rec-exp` `neg-mul-1` `div-exp` `rem-log-exp` `associate-/r/` `pow-flip` `inv-pow` `rem-exp-log`

Calls

4 calls:

Slowest

16.0ms	(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))
5.0ms	(log (exp (/ 1 (- (acos a)))))
4.0ms	(exp (/ 1 (- (acos a))))
2.0ms	(/ 1 (- (acos a)))

series88.0ms

Calls

4 calls:

Slowest

39.0ms	(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))
36.0ms	(exp (/ 1 (- (acos a))))
8.0ms	(log (exp (/ 1 (- (acos a)))))
5.0ms	(/ 1 (- (acos a)))

simplify2.7s

Calls

111 calls:

Slowest

290.0ms	(/ (* (* (log (exp (/ 1 (- (acos a))))) (log (exp (/ 1 (- (acos a)))))) (log (exp (/ 1 (- (acos a)))))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
87.0ms	(/ (log (exp (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))))) (/ 1 a))
71.0ms	(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))
69.0ms	(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))
68.0ms	(/ (log (exp (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))))) (/ 1 a))

prune855.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

860.0ms	8107×	body	80	nan
548.0ms	8000×	body	80	valid