Details

Time bar (total: 7.8s)

sample36.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms266×body80nan

simplify12.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
8.0ms
(/ a (- (acos a)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ a (- (acos a)))

simplify1.4s

Counts
58 → 58

prune204.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (- (acos a)) a)
0.3b
(/ 1 (/ (- (acos a)) a))

rewrite56.0ms

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:
11.0ms
(/ (- (acos a)) a)
33.0ms
(/ 1 (/ (- (acos a)) a))

series95.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- (acos a)) a)
46.0ms
(/ 1 (/ (- (acos a)) a))

simplify1.1s

Counts
223 → 223

prune496.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
71×add-exp-log
40×times-frac div-exp
25×add-cbrt-cube
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×prod-exp associate-/r*
12×cbrt-undiv
10×rec-exp 1-exp
4×cbrt-unprod div-inv associate-/l*
3×pow1
2×frac-2neg clear-num associate-/l/ add-log-exp
1×pow-flip mul-1-neg associate-*r/ distribute-frac-neg associate-/r/ un-div-inv inv-pow
Counts
2 → 98
Calls
2 calls:
10.0ms
(/ 1 (acos a))
21.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

series45.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ 1 (acos a))
34.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

simplify821.0ms

Counts
104 → 104

prune162.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
172×times-frac
93×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
86×add-exp-log
55×div-exp
42×sqrt-prod
39×add-cbrt-cube
26×associate-/r*
21×cbrt-undiv
16×prod-exp
11×div-inv
10×1-exp
7×associate-/l*
6×cbrt-unprod
5×rec-exp
2×pow1 frac-2neg clear-num associate-/r/ add-log-exp
1×mul-1-neg associate-*r/ distribute-frac-neg associate-/l/
Counts
2 → 181
Calls
2 calls:
19.0ms
(/ (sqrt 1) (/ (acos a) 1))
33.0ms
(/ (* -1 (/ (sqrt 1) (/ (acos a) 1))) (/ 1 a))

series40.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (sqrt 1) (/ (acos a) 1))
33.0ms
(/ (* -1 (/ (sqrt 1) (/ (acos a) 1))) (/ 1 a))

simplify1.8s

Counts
187 → 187

prune337.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify12.0ms

end0.0ms

sample884.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid
175.0ms8096×body80nan