Details

Time bar (total: 11.5s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune4.0ms

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))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 sub-neg times-frac flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
18.0ms
(- x (/ 1.0 3.0))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(- x (/ 1.0 3.0))

simplify1.9s

Counts
18 → 18
Iterations
IterNodes
done5000
41468
3467
2184
182
038

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 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))
0.3b
(* x (/ 1.0 3.0))
19.9b
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite646.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
22×*-un-lft-identity times-frac add-cube-cbrt
20×pow1
16×add-cbrt-cube add-exp-log
14×associate-*r*
6×associate-*l* add-log-exp
5×cube-unmult prod-exp associate-*r/ pow-prod-up cbrt-unprod
4×difference-cubes pow3 pow-prod-down associate-/l*
3×associate-/r* frac-add unswap-sqr
2×cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+ div-inv associate-/l/
1×pow2 frac-times +-commutative clear-num sum-log frac-2neg pow-plus distribute-rgt-out flip3-- div-sub associate-*l/ pow-sqr flip--
Counts
4 → 107
Calls
4 calls:
13.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
20.0ms
(* x (* x x))
20.0ms
(* x (/ 1.0 3.0))
590.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
60.0ms
(* x (* x x))
25.0ms
(* x (/ 1.0 3.0))
231.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify3.1s

Counts
119 → 119
Iterations
IterNodes
done5001
23455
1585
0203

prune555.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (/ 1.0 3.0))
0.3b
(* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x)))
14.8b
(/ (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x))) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
19.9b
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (/ (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x))) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

rewrite663.0ms

Algorithm
rewrite-expression-head
Rules
54×add-cbrt-cube add-exp-log
30×add-sqr-sqrt
26×times-frac
24×*-un-lft-identity add-cube-cbrt
20×prod-exp cbrt-unprod
19×frac-times
18×associate-*r/
17×associate-*r*
16×cbrt-undiv div-exp
14×associate-*l/
13×associate-/l/
11×pow1
10×flip3-- flip--
9×associate-/r/
7×associate-/r*
5×associate-/l*
4×difference-cubes cube-unmult associate-*l* pow3 pow-prod-down add-log-exp
3×frac-sub div-inv unswap-sqr
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in distribute-rgt-out-- *-commutative sub-div
1×flip3-+ div-sub flip-+ difference-of-squares
Counts
4 → 158
Calls
4 calls:
22.0ms
(* x (/ 1.0 3.0))
110.0ms
(* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x)))
137.0ms
(/ (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x))) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
382.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (/ (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x))) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
26.0ms
(* x (/ 1.0 3.0))
118.0ms
(* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x)))
238.0ms
(/ (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x))) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
684.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (+ (* x x) (/ (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x x))) (- (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

simplify1.4s

Counts
170 → 170
Iterations
IterNodes
done5001
1977
0298

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 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
IterNodes
done5
05

end0.0ms

sample454.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid