Details

Time bar (total: 6.6s)

sample32.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
6.0ms257×body80nan

simplify14.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
7.0ms
(/ a (- (acos a)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ a (- (acos a)))

simplify1.3s

Counts
58 → 58

prune146.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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:
30.0ms
(/ 1 (/ (- (acos a)) a))
23.0ms
(/ (- (acos a)) a)

series95.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (/ (- (acos a)) a))
48.0ms
(/ (- (acos a)) a)

simplify984.0ms

Counts
223 → 223

prune519.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:
9.0ms
(/ 1 (acos a))
32.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

series52.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (acos a))
45.0ms
(/ (* -1 (/ 1 (acos a))) (/ 1 a))

simplify760.0ms

Counts
104 → 104

prune143.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (pow (acos a) 3))
0.4b
(/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))
1.0b
(cbrt (/ 1 (pow (acos a) 3)))
1.0b
(pow (acos a) 3)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
68×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
40×cbrt-prod
36×add-exp-log
25×associate-/r*
24×unpow-prod-down cube-prod
18×div-exp
17×add-cbrt-cube
8×cube-mult unpow3 sqr-pow
7×cbrt-undiv
5×pow1 rec-exp 1-exp div-inv
4×pow-to-exp pow-exp prod-exp associate-/l* add-log-exp
3×pow-unpow
2×cbrt-div frac-2neg clear-num cbrt-unprod
1×pow-flip pow-pow mul-1-neg pow1/3 associate-*r/ distribute-frac-neg associate-/r/ associate-/l/ inv-pow rem-cube-cbrt
Counts
4 → 197
Calls
4 calls:
11.0ms
(/ 1 (pow (acos a) 3))
25.0ms
(/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))
5.0ms
(cbrt (/ 1 (pow (acos a) 3)))
3.0ms
(pow (acos a) 3)

series108.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ 1 (pow (acos a) 3))
25.0ms
(/ (* -1 (cbrt (/ 1 (pow (acos a) 3)))) (/ 1 a))
7.0ms
(cbrt (/ 1 (pow (acos a) 3)))
34.0ms
(pow (acos a) 3)

simplify1.0s

Counts
209 → 209

prune289.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes83.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify17.0ms

end0.0ms

sample824.0ms

Algorithm
intervals
Results
300.0ms8000×body80valid
184.0ms8084×body80nan