Details

Time bar (total: 12.5s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
2105
done105

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite11.0ms

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:
11.0ms
(- x (/ 1.0 3.0))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(- x (/ 1.0 3.0))

simplify2.4s

Counts
18 → 18
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
038161
182156
2176146
3402146
41057146
53360146
done5000146

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
12.8b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt add-cube-cbrt
6×difference-of-squares
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 54
Calls
2 calls:
8.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
40.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series136.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
91.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify1.9s

Counts
60 → 60
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0961356
12601284
29251174
336191010
done5000918

prune191.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
12.8b
(/ (* 1 (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
8×*-un-lft-identity
7×add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt times-frac associate-/r* add-log-exp
3×div-exp
2×pow1 cbrt-undiv flip3-- associate-*r/ prod-exp associate-/r/ flip-- associate-/l/ distribute-lft-out
1×sub-neg frac-2neg flip3-+ diff-log 1-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* difference-of-squares
Counts
2 → 41
Calls
2 calls:
18.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
40.0ms
(/ (* 1 (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
128.0ms
(/ (* 1 (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (+ x (/ 1.0 3.0)))

simplify3.7s

Counts
47 → 47
Iterations

Useful iterations: done (3.7s)

IterNodesCost
091996
1251901
2988757
34497535
done5002489

prune129.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (/ 1.0 3.0) 2) (pow x 2))
0.1b
(* (+ (pow (/ 1.0 3.0) 2) (pow x 2)) (+ x (/ 1.0 3.0)))
0.1b
(* (* x x) (* x x))
21.6b
(/ (* 1 (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (+ (pow (/ 1.0 3.0) 2) (pow x 2)) (+ x (/ 1.0 3.0))))

rewrite752.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
36×pow-prod-up
35×add-exp-log
30×add-cbrt-cube
24×pow-prod-down
22×pow-sqr
18×pow-plus
16×*-un-lft-identity prod-exp
13×pow2 flip3-+ cbrt-unprod flip-+
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt associate-*r/ div-exp associate-*l* add-log-exp
5×associate-*r* distribute-lft-out
4×cbrt-undiv unpow-prod-down associate-*l/
2×1-exp *-commutative associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in times-frac swap-sqr clear-num associate-/r* sum-log flip-- div-inv associate-/l*
Counts
4 → 140
Calls
4 calls:
46.0ms
(+ (pow (/ 1.0 3.0) 2) (pow x 2))
176.0ms
(* (+ (pow (/ 1.0 3.0) 2) (pow x 2)) (+ x (/ 1.0 3.0)))
51.0ms
(* (* x x) (* x x))
473.0ms
(/ (* 1 (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (+ (pow (/ 1.0 3.0) 2) (pow x 2)) (+ x (/ 1.0 3.0))))

series428.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (pow (/ 1.0 3.0) 2) (pow x 2))
50.0ms
(* (+ (pow (/ 1.0 3.0) 2) (pow x 2)) (+ x (/ 1.0 3.0)))
52.0ms
(* (* x x) (* x x))
254.0ms
(/ (* 1 (- (* (* x x) (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (+ (pow (/ 1.0 3.0) 2) (pow x 2)) (+ x (/ 1.0 3.0))))

simplify1.7s

Counts
152 → 152
Iterations

Useful iterations: 2 (598.0ms)

IterNodesCost
01883403
15712278
229881902
done50011902

prune419.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes39.0ms

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

sample331.0ms

Algorithm
intervals
Results
160.0ms8000×body80valid