Details

sample51.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
15.0ms	259×	body	80	nan

simplify7.0ms

Calls

1 calls:

Slowest

7.0ms

(/ a (- (acos a)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `neg-mul-1` `frac-2neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Calls

1 calls:

Slowest

2.0ms

(/ a (- (acos a)))

series32.0ms

Calls

1 calls:

Slowest

32.0ms

(/ a (- (acos a)))

simplify147.0ms

Calls

13 calls:

Slowest

36.0ms	(* -1 (/ a (acos a)))
30.0ms	(* -1 (/ a (acos a)))
20.0ms	(* -1 (/ a (acos a)))
17.0ms	(- (cbrt (acos a)))
7.0ms	(cbrt (- (acos a)))

prune185.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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×	`expm1-log1p-u` `clear-num` `frac-2neg` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `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)
6.0ms	(/ 1 (/ (- (acos a)) a))

series121.0ms

Calls

2 calls:

Slowest

69.0ms	(/ (- (acos a)) a)
52.0ms	(/ 1 (/ (- (acos a)) a))

simplify310.0ms

Calls

20 calls:

Slowest

38.0ms	(* -1 (/ (acos a) a))
36.0ms	(* -1 (/ (acos a) a))
36.0ms	(* -1 (/ a (acos a)))
30.0ms	(* -1 (/ a (acos a)))
23.0ms	(* -1 (/ a (acos a)))

prune382.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `neg-mul-1` `associate-/r/` `pow-flip` `inv-pow` `associate-/l/`

Calls

2 calls:

Slowest

9.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
2.0ms	(/ 1 (- (acos a)))

series50.0ms

Calls

2 calls:

Slowest

39.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
11.0ms	(/ 1 (- (acos a)))

simplify2.7s

Calls

58 calls:

Slowest

1.2s	(/ (* (* (/ 1 (- (acos a))) (/ 1 (- (acos a)))) (/ 1 (- (acos a)))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
123.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
119.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
97.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))
97.0ms	(/ (/ 1 (- (acos a))) (/ 1 a))

prune510.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))))

rewrite31.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
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	(exp (/ 1 (- (acos a))))
5.0ms	(log (exp (/ 1 (- (acos a)))))
3.0ms	(/ 1 (- (acos a)))

series112.0ms

Calls

4 calls:

Slowest

51.0ms	(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))
48.0ms	(exp (/ 1 (- (acos a))))
7.0ms	(log (exp (/ 1 (- (acos a)))))
6.0ms	(/ 1 (- (acos a)))

simplify3.2s

Calls

111 calls:

Slowest

439.0ms	(/ (* (* (log (exp (/ 1 (- (acos a))))) (log (exp (/ 1 (- (acos a)))))) (log (exp (/ 1 (- (acos a)))))) (* (* (/ 1 a) (/ 1 a)) (/ 1 a)))
113.0ms	(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))
110.0ms	(/ (log (exp (/ 1 (- (acos a))))) (/ 1 a))
96.0ms	(- (log (log (exp (/ 1 (- (acos a)))))) (log (/ 1 a)))
90.0ms	(/ (log (exp (* (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 (- (acos a))))))) (/ 1 a))

prune1.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.2b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

634.0ms	8000×	body	80	valid
409.0ms	8107×	body	80	nan