Details

sample51.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
16.0ms	263×	body	80	nan

simplify6.0ms

Calls

1 calls:

Slowest

6.0ms

(/ a (- (acos a)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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

1.0ms

(/ a (- (acos a)))

series15.0ms

Calls

1 calls:

Slowest

15.0ms

(/ a (- (acos a)))

simplify88.0ms

Calls

13 calls:

Slowest

20.0ms	(* -1 (/ a (acos a)))
19.0ms	(* -1 (/ a (acos a)))
19.0ms	(* -1 (/ a (acos a)))
8.0ms	(sqrt (acos a))
3.0ms	(- (sqrt (acos a)))

prune114.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (/ (- (acos a)) a))
0.3b	(/ (- (acos a)) a)

rewrite11.0ms

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

8.0ms	(/ (- (acos a)) a)
3.0ms	(/ 1 (/ (- (acos a)) a))

series33.0ms

Calls

2 calls:

Slowest

17.0ms	(/ 1 (/ (- (acos a)) a))
16.0ms	(/ (- (acos a)) a)

simplify193.0ms

Calls

20 calls:

Slowest

29.0ms	(* -1 (/ a (acos a)))
22.0ms	(* -1 (/ a (acos a)))
21.0ms	(* -1 (/ a (acos a)))
20.0ms	(* -1 (/ (acos a) a))
19.0ms	(* -1 (/ (acos a) a))

prune226.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

6.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))
5.0ms	(* (- (acos a)) (/ 1 a))

series30.0ms

Calls

2 calls:

Slowest

15.0ms	(* (- (acos a)) (/ 1 a))
14.0ms	(/ 1 (* (- (acos a)) (/ 1 a)))

simplify564.0ms

Calls

24 calls:

Slowest

261.0ms	(* (* (* (- (acos a)) (- (acos a))) (- (acos a))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
41.0ms	(+ (log (- (acos a))) (log (/ 1 a)))
39.0ms	(* (- (acos a)) (/ 1 a))
29.0ms	(* -1 (/ (acos a) a))
27.0ms	(* -1 (/ a (acos a)))

prune271.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ (/ 1 (- (acos a))) (/ 1 a))
0.0b	(/ 1 (- (acos a)))

rewrite7.0ms

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

5.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
1.0ms	(/ 1 (- (acos a)))

series25.0ms

Calls

2 calls:

Slowest

15.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
10.0ms	(/ 1 (- (acos a)))

simplify2.0s

Calls

58 calls:

Slowest

906.0ms	(/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
69.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
62.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
62.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
62.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))

prune340.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.2b remaining)

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

bsearch1.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

499.0ms	8000×	body	80	valid
335.0ms	7905×	body	80	nan