Details

Time bar (total: 15.9s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

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))

rewrite11.0ms

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:
11.0ms
(- x (/ 1.0 3.0))

series33.0ms

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

simplify2.2s

Counts
18 → 18
Iterations
IterNodes
done5002
52990
41075
3402
2179
182
038

prune66.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (+ (* (/ 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))
20.9b
(/ (- (* 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)))))

rewrite296.0ms

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×add-log-exp
6×associate-*l*
5×cube-unmult prod-exp pow-prod-up cbrt-unprod
4×difference-cubes pow3 pow-prod-down associate-/l*
3×associate-/r* sum-log unswap-sqr
2×cbrt-undiv flip3-+ div-exp associate-/r/ *-commutative flip-+ div-inv associate-/l/
1×pow2 +-commutative associate-+r+ clear-num frac-2neg pow-plus flip3-- div-sub associate-*r/ pow-sqr flip--
Counts
4 → 105
Calls
4 calls:
39.0ms
(+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
19.0ms
(* x (* x x))
16.0ms
(* x (/ 1.0 3.0))
218.0ms
(/ (- (* 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)))))

series298.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))
45.0ms
(* x (* x x))
24.0ms
(* x (/ 1.0 3.0))
202.0ms
(/ (- (* 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)))))

simplify1.7s

Counts
117 → 117
Iterations
IterNodes
done5001
22059
1531
0189

prune471.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (/ 1.0 3.0))
12.0b
(- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
19.6b
(/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
20.9b
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

rewrite472.0ms

Algorithm
rewrite-expression-head
Rules
194×times-frac
120×add-sqr-sqrt
90×*-un-lft-identity add-cube-cbrt
51×difference-of-squares
26×associate-/r*
23×difference-cubes cube-unmult pow3
16×add-cbrt-cube add-exp-log
13×associate-*r* associate-/r/
9×flip3-- flip--
8×div-inv associate-/l*
6×pow1 add-log-exp
5×cbrt-undiv div-exp
4×associate-/l/
3×associate-*l*
2×clear-num frac-2neg div-sub prod-exp cbrt-unprod associate--r+ unswap-sqr
1×distribute-rgt-in sub-neg distribute-lft-in diff-log pow-prod-down associate-*r/ *-commutative
Counts
4 → 220
Calls
4 calls:
17.0ms
(* x (/ 1.0 3.0))
35.0ms
(- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
140.0ms
(/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
265.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

series671.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* x (/ 1.0 3.0))
53.0ms
(- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
107.0ms
(/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))
493.0ms
(/ (- (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))) (/ (- (* (* x x) (* x x)) (* (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))) (- (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0))))))

simplify1.5s

Counts
232 → 232
Iterations
IterNodes
done5001
11392
0418

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.3b
(* x (/ 1.0 3.0))
0.5b
(* (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (+ (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))))
27.3b
(/ (- (* (* x (* x x)) (* x (* x x))) (* (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 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)))) (+ (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0)))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×pow1
21×add-cbrt-cube add-exp-log
18×associate-*r*
17×*-un-lft-identity add-cube-cbrt
15×times-frac
12×flip3-+ flip-+
9×associate-*l* pow-prod-down
8×frac-times associate-/r/
7×prod-exp cbrt-unprod
6×cube-unmult
5×pow3 associate-*r/ pow-prod-up associate-/l*
4×associate-*l/ add-log-exp unswap-sqr
3×cbrt-undiv div-exp *-commutative
2×difference-cubes div-inv difference-of-squares associate-/l/
1×pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in pow-plus flip3-- div-sub pow-sqr sum-cubes flip--
Counts
4 → 121
Calls
4 calls:
22.0ms
(* x (* x x))
12.0ms
(* x (/ 1.0 3.0))
249.0ms
(* (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (+ (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))))
1.1s
(/ (- (* (* x (* x x)) (* x (* x x))) (* (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 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)))) (+ (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0)))))

series494.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* x (* x x))
21.0ms
(* x (/ 1.0 3.0))
54.0ms
(* (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))) (+ (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0))))
371.0ms
(/ (- (* (* x (* x x)) (* x (* x x))) (* (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 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)))) (+ (* x (* x x)) (* (* (/ 1.0 3.0) (/ 1.0 3.0)) (/ 1.0 3.0)))))

simplify3.5s

Counts
133 → 133
Iterations
IterNodes
done5002
24854
1858
0253

prune681.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample414.0ms

Algorithm
intervals
Results
205.0ms8000×body80valid