Details

Time bar (total: 7.6s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
5.0ms270×body80nan

simplify18.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
4×neg-mul-1
3×add-exp-log add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 55
Calls
1 calls:
14.0ms
(/ a (- (acos a)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ a (- (acos a)))

simplify1.6s

Counts
58 → 58

prune110.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
140×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/r*
16×neg-mul-1
15×add-exp-log
13×associate-/l*
9×add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×neg-sub0 pow-flip div-sub distribute-frac-neg associate-/r/ inv-pow
Counts
2 → 217
Calls
2 calls:
15.0ms
(/ 1 (/ (- (acos a)) a))
11.0ms
(/ (- (acos a)) a)

series107.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ 1 (/ (- (acos a)) a))
56.0ms
(/ (- (acos a)) a)

simplify1.2s

Counts
223 → 223

prune535.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
21×add-sqr-sqrt
18×div-exp
16×prod-exp add-cbrt-cube
15×*-un-lft-identity
14×add-cube-cbrt times-frac
13×associate-*r*
10×associate-*l*
9×rec-exp 1-exp
7×pow1
5×cbrt-undiv
4×cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l* unswap-sqr
2×pow-flip associate-*r/ pow-prod-down associate-/r/ un-div-inv div-inv add-log-exp
1×distribute-lft-neg-out neg-mul-1 frac-2neg clear-num associate-/r* *-commutative inv-pow
Counts
2 → 84
Calls
2 calls:
29.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
24.0ms
(* (- (acos a)) (/ 1 a))

series68.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ 1 (* (- (acos a)) (/ 1 a)))
40.0ms
(* (- (acos a)) (/ 1 a))

simplify636.0ms

Counts
90 → 90

prune239.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.0b
(sqrt (acos a))
1.0b
(sqrt (acos a))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log add-cbrt-cube add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 48
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
2.0ms
(sqrt (acos a))
2.0ms
(sqrt (acos a))

series639.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt a)
300.0ms
(cbrt a)
19.0ms
(sqrt (acos a))
20.0ms
(sqrt (acos a))

simplify736.0ms

Counts
60 → 60

prune275.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify21.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
364.0ms8000×body80valid
218.0ms7844×body80nan