Details

Time bar (total: 9.7s)

sample13.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
16
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×add-sqr-sqrt pow1 +-commutative sum-log flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+ insert-posit16 distribute-lft-out
Counts
1 → 13
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series23.0ms

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

simplify1.1s

Counts
16 → 16
Iterations
IterNodes
done5001
41626
3568
2210
179
029

prune67.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.0b
(- x (/ 1.0 3.0))
13.7b
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
30×times-frac
27×*-un-lft-identity
20×difference-of-squares
15×add-cube-cbrt
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-cbrt-cube add-exp-log
4×flip3-- flip-- associate-/l*
3×pow1 insert-posit16
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 82
Calls
3 calls:
7.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
6.0ms
(- x (/ 1.0 3.0))
28.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))
35.0ms
(- x (/ 1.0 3.0))
128.0ms
(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify985.0ms

Counts
91 → 91
Iterations
IterNodes
done5001
21502
1347
0134

prune291.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
0.1b
(* (* x x) x)
0.4b
(* x (/ 1.0 3.0))
17.5b
(/ (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×pow1
22×*-un-lft-identity times-frac add-cube-cbrt
16×add-cbrt-cube associate-*r* add-exp-log
8×associate-*r/
6×pow-plus pow-prod-up add-log-exp
5×pow3 prod-exp cbrt-unprod
4×cube-unmult associate-*l* pow-prod-down sum-cubes insert-posit16 associate-/l*
3×associate-/r* frac-sub unswap-sqr
2×pow2 cbrt-undiv flip3-+ div-exp associate-*l/ associate-/r/ pow-sqr *-commutative flip-+ div-inv sub-div associate-/l/
1×frac-times clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log flip--
Counts
4 → 117
Calls
4 calls:
17.0ms
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
23.0ms
(* (* x x) x)
13.0ms
(* x (/ 1.0 3.0))
203.0ms
(/ (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
48.0ms
(* (* x x) x)
28.0ms
(* x (/ 1.0 3.0))
215.0ms
(/ (+ (* (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0))) (* (* x x) x)) (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify2.3s

Counts
129 → 129
Iterations
IterNodes
done5002
23293
1576
0211

prune350.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ 1.0 3.0) x)
13.7b
(sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
13.7b
(sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
13.7b
(/ (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* x x) (* (/ 1.0 3.0) x))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
29×*-un-lft-identity add-cube-cbrt
28×times-frac
18×sqrt-prod
13×associate-*l*
11×add-cbrt-cube add-exp-log
8×pow1 associate-/l/
6×associate-/r* sqrt-div frac-add
4×flip3-+ flip-+ insert-posit16 add-log-exp
3×flip3-- associate-*r* associate-*l/ flip-- associate-/l*
2×frac-times cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp associate-*r/ associate-/r/ cbrt-unprod div-inv unswap-sqr
1×clear-num associate-+r- frac-2neg div-sub pow-prod-down *-commutative
Counts
4 → 116
Calls
4 calls:
9.0ms
(* (/ 1.0 3.0) x)
39.0ms
(sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
38.0ms
(sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
93.0ms
(/ (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* x x) (* (/ 1.0 3.0) x))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

series208.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (/ 1.0 3.0) x)
58.0ms
(sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
54.0ms
(sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
78.0ms
(/ (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* x x) (* (/ 1.0 3.0) x))) (sqrt (+ (* x x) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

simplify2.0s

Counts
128 → 128
Iterations
IterNodes
done5001
22913
1541
0208

prune661.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample457.0ms

Algorithm
intervals
Results
352.0ms8000×body80valid