Details

Time bar (total: 10.0s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×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:
10.0ms
(- x (/ 1.0 3.0))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(- x (/ 1.0 3.0))

simplify2.5s

Counts
18 → 18
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
038161
182156
2176146
3402146
41057146
53360146
done5000146

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite91.0ms

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:
13.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
75.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
105.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (+ x (/ 1.0 3.0)))

simplify2.6s

Counts
60 → 60
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0961356
12601284
29251174
336191010
done5000918

prune128.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
32×times-frac
21×add-sqr-sqrt add-cube-cbrt
20×unpow-prod-down
9×distribute-lft-out
8×associate-/l*
7×add-exp-log
6×difference-of-squares
5×sqr-pow
4×associate-/r* add-cbrt-cube add-log-exp
3×div-exp
2×pow1 associate-/r/
1×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg flip3-+ diff-log pow-exp clear-num flip-- flip-+ div-inv
Counts
2 → 73
Calls
2 calls:
8.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
49.0ms
(/ (pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 1) (+ x (/ 1.0 3.0)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
93.0ms
(/ (pow (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) 1) (+ x (/ 1.0 3.0)))

simplify877.0ms

Counts
79 → 79
Iterations

Useful iterations: done (874.0ms)

IterNodesCost
01312178
12701908
210141714
done50001524

prune174.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite477.0ms

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×pow-plus
13×pow2 flip3-+ flip-+
10×add-sqr-sqrt *-un-lft-identity prod-exp cbrt-unprod
8×frac-times add-cube-cbrt associate-/r/
6×add-log-exp
5×associate-*r*
4×times-frac associate-*r/ associate-*l* 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 distribute-lft-out
Counts
4 → 137
Calls
4 calls:
51.0ms
(+ (pow (/ 1.0 3.0) 2) (* x x))
221.0ms
(* (+ (pow (/ 1.0 3.0) 2) (* x x)) (+ (/ 1.0 3.0) x))
46.0ms
(* (* x x) (* x x))
151.0ms
(/ (- (* (* 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) (* x x)) (+ (/ 1.0 3.0) x)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (pow (/ 1.0 3.0) 2) (* x x))
35.0ms
(* (+ (pow (/ 1.0 3.0) 2) (* x x)) (+ (/ 1.0 3.0) x))
46.0ms
(* (* x x) (* x x))
218.0ms
(/ (- (* (* 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) (* x x)) (+ (/ 1.0 3.0) x)))

simplify1.5s

Counts
149 → 149
Iterations

Useful iterations: 2 (519.0ms)

IterNodesCost
01853223
15532206
228011930
done50001930

prune439.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample438.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid