Details

Time bar (total: 14.4s)

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0583
1783
21083
done1083

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite8.0ms

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:
8.0ms
(- x (/ 1.0 3.0))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(- x (/ 1.0 3.0))

simplify3.0s

Counts
18 → 18
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0383402
1823031
21793031
34023031
410753031
529903031
done50023031

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

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))
22.2b
(/ (- (* 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)))))

rewrite257.0ms

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*
9×cube-unmult
6×associate-*l* add-log-exp
5×prod-exp associate-*r/ pow-prod-up cbrt-unprod
4×difference-cubes 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:
11.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
13.0ms
(* x (* x x))
15.0ms
(* x (/ 1.0 3.0))
213.0ms
(/ (- (* 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)))))

series359.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
61.0ms
(* x (* x x))
18.0ms
(* x (/ 1.0 3.0))
209.0ms
(/ (- (* 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)))))

simplify2.5s

Counts
119 → 119
Iterations

Useful iterations: 2 (919.0ms)

IterNodesCost
020435426
157032281
2235231362
done500031362

prune504.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (/ 1.0 3.0))
0.3b
(* x (/ 1.0 3.0))
22.2b
(/ (- (* 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)) (cbrt (* (* x (/ 1.0 3.0)) (* (* x (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))))
42.0b
(cbrt (* (* x (/ 1.0 3.0)) (* (* x (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
32×times-frac
29×*-un-lft-identity add-cube-cbrt
26×associate-*r*
19×associate-*r/
16×add-cbrt-cube add-exp-log
9×cube-unmult
8×pow1
7×cbrt-div
6×associate-*l*
5×frac-times
4×difference-cubes prod-exp cbrt-unprod associate-/l* add-log-exp unswap-sqr
3×cbrt-undiv associate-/r* div-exp associate-*l/ div-inv
2×pow-prod-down associate-/r/ *-commutative associate-/l/
1×cbrt-prod clear-num frac-2neg flip3-+ flip3-- pow1/3 div-sub rem-cbrt-cube flip-+ flip--
Counts
4 → 117
Calls
4 calls:
10.0ms
(* x (/ 1.0 3.0))
11.0ms
(* x (/ 1.0 3.0))
196.0ms
(/ (- (* 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)) (cbrt (* (* x (/ 1.0 3.0)) (* (* x (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))))
127.0ms
(cbrt (* (* x (/ 1.0 3.0)) (* (* x (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* x (/ 1.0 3.0))
17.0ms
(* x (/ 1.0 3.0))
122.0ms
(/ (- (* 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)) (cbrt (* (* x (/ 1.0 3.0)) (* (* x (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))))
53.0ms
(cbrt (* (* x (/ 1.0 3.0)) (* (* x (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify2.8s

Counts
129 → 129
Iterations

Useful iterations: done (2.8s)

IterNodesCost
021047695
158645368
2188235682
done500735362

prune773.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 1.0 3.0))
0.3b
(log (exp (- x (/ 1.0 3.0))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
8×*-un-lft-identity
7×log-pow
6×exp-prod
5×log-prod
4×add-cube-cbrt add-log-exp difference-of-squares
3×pow1
2×sub-neg times-frac add-cbrt-cube exp-sum add-exp-log distribute-lft-out--
1×log-div flip3-- exp-diff diff-log rem-log-exp flip--
Counts
2 → 36
Calls
2 calls:
12.0ms
(- x (/ 1.0 3.0))
27.0ms
(log (exp (- x (/ 1.0 3.0))))

series85.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- x (/ 1.0 3.0))
45.0ms
(log (exp (- x (/ 1.0 3.0))))

simplify2.5s

Counts
42 → 42
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
0689861
11386620
22686480
35316480
412116480
531766480
done50016480

prune165.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes68.0ms

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
0583
done583

end0.0ms

sample382.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid