Details

Time bar (total: 8.1s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2105
done105

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
6.0ms
(- x (/ 1.0 3.0))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(- x (/ 1.0 3.0))

simplify1.9s

Counts
18 → 18
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
038161
182156
2171146
3371146
4976146
52976146
done5001146

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
15.7b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
16×times-frac
13×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
6×distribute-lft-out difference-of-squares
5×add-exp-log add-cbrt-cube
4×associate-/r* associate-/l*
3×pow1
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 66
Calls
3 calls:
6.0ms
(+ x (/ 1.0 3.0))
3.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
20.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series376.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ x (/ 1.0 3.0))
265.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
92.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify2.3s

Counts
75 → 75
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01041479
12751402
29421282
342561118
done50011117

prune151.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (/ 1.0 3.0))
1.0b
(pow (/ 1.0 3.0) 3)
15.8b
(* (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
21.2b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)))

rewrite281.0ms

Algorithm
rewrite-expression-head
Rules
147×*-un-lft-identity
101×times-frac
67×add-sqr-sqrt
57×add-cube-cbrt
49×unpow-prod-down cube-prod
45×associate-*l* distribute-lft-out
19×add-exp-log add-cbrt-cube difference-of-squares
16×associate-*r*
9×pow1 associate-/r* sum-cubes
5×div-inv
4×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l* add-log-exp unswap-sqr
3×pow-unpow associate-*r/
2×frac-times pow-prod-down pow-exp *-commutative associate-/l/ rem-cube-cbrt
1×cube-div distribute-rgt-in cube-mult pow-to-exp flip3-- pow-pow frac-2neg distribute-lft-in unpow3 div-sub associate-*l/ clear-num flip-- sqr-pow
Counts
4 → 211
Calls
4 calls:
7.0ms
(* x (/ 1.0 3.0))
4.0ms
(pow (/ 1.0 3.0) 3)
192.0ms
(* (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
66.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)))

series321.0ms

Counts
4 → 10
Calls
4 calls:
17.0ms
(* x (/ 1.0 3.0))
0.0ms
(pow (/ 1.0 3.0) 3)
240.0ms
(* (/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3))) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
64.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ (pow x 3) (pow (/ 1.0 3.0) 3)))

simplify1.8s

Counts
221 → 221
Iterations

Useful iterations: 2 (718.0ms)

IterNodesCost
03006040
110055437
243234759
done50004759

prune536.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample192.0ms

Algorithm
intervals
Results
108.0ms8000×body80valid