Details

Time bar (total: 8.7s)

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))

rewrite12.0ms

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:
12.0ms
(- x (/ 1.0 3.0))

series31.0ms

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

simplify2.7s

Counts
18 → 18
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
038161
182156
2176146
3402146
41057146
53360146
done5000146

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))
12.2b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×difference-of-squares
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 +-commutative flip3-- frac-2neg div-sub div-exp clear-num sum-log flip-- div-inv
Counts
2 → 53
Calls
2 calls:
20.0ms
(+ x (/ 1.0 3.0))
49.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ x (/ 1.0 3.0))
129.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify2.2s

Counts
59 → 59
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0911221
12401163
28151081
33031917
done5002849

prune174.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

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))
22.8b
(/ (- (* (* 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))))

rewrite569.0ms

Algorithm
rewrite-expression-head
Rules
117×pow1
36×pow-prod-up
24×pow-prod-down
23×add-exp-log add-cbrt-cube
22×pow-sqr
18×*-un-lft-identity pow-plus
13×pow2 flip3-+ flip-+
10×add-sqr-sqrt prod-exp cbrt-unprod
8×frac-times add-cube-cbrt associate-/r/
6×associate-*l* add-log-exp
5×associate-*r* distribute-lft-out
4×unpow-prod-down times-frac associate-*r/ associate-*l/ associate-/l*
2×cbrt-undiv div-exp *-commutative associate-/l/ difference-of-squares unswap-sqr
1×+-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-sub swap-sqr clear-num associate-/r* sum-log flip-- div-inv
Counts
4 → 141
Calls
4 calls:
71.0ms
(+ (pow (/ 1.0 3.0) 2) (pow x 2))
230.0ms
(* (+ (pow (/ 1.0 3.0) 2) (pow x 2)) (+ x (/ 1.0 3.0)))
52.0ms
(* (* x x) (* x x))
206.0ms
(/ (- (* (* 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))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (pow (/ 1.0 3.0) 2) (pow x 2))
30.0ms
(* (+ (pow (/ 1.0 3.0) 2) (pow x 2)) (+ x (/ 1.0 3.0)))
34.0ms
(* (* x x) (* x x))
271.0ms
(/ (- (* (* 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))))

simplify1.5s

Counts
153 → 153
Iterations

Useful iterations: 2 (363.0ms)

IterNodesCost
01853271
15532254
228121978
done50001978

prune429.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

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

sample400.0ms

Algorithm
intervals
Results
194.0ms8000×body80valid