Details

Time bar (total: 14.0s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
17
05

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite18.0ms

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:
16.0ms
(- x (/ 1.0 3.0))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(- x (/ 1.0 3.0))

simplify2.8s

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

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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))
0.2b
(* x (/ 1.0 3.0))
20.5b
(/ (- (* 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)))))

rewrite267.0ms

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:
12.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
13.0ms
(* x (* x x))
11.0ms
(* x (/ 1.0 3.0))
225.0ms
(/ (- (* 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)))))

series369.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))
44.0ms
(* x (* x x))
16.0ms
(* x (/ 1.0 3.0))
253.0ms
(/ (- (* 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)))))

simplify2.0s

Counts
119 → 119
Iterations
IterNodes
done5016
22347
1572
0203

prune542.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (/ 1.0 3.0))
0.2b
(* x (/ 1.0 3.0))
0.5b
(/ (* (* (/ 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)))))
20.6b
(/ (* x (* x x)) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
76×add-cbrt-cube add-exp-log
34×add-sqr-sqrt
29×cbrt-undiv div-exp
26×times-frac associate-*r*
25×prod-exp cbrt-unprod
24×*-un-lft-identity add-cube-cbrt
8×pow1
7×associate-/l/
6×associate-/r* associate-*l*
5×frac-times associate-*l/ associate-*r/
4×associate-/r/ div-inv add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-+ pow-prod-down *-commutative flip-+ associate-/l*
Counts
4 → 137
Calls
4 calls:
17.0ms
(* x (/ 1.0 3.0))
12.0ms
(* x (/ 1.0 3.0))
137.0ms
(/ (* (* (/ 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)))))
80.0ms
(/ (* x (* x x)) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* x (/ 1.0 3.0))
28.0ms
(* x (/ 1.0 3.0))
87.0ms
(/ (* (* (/ 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)))))
120.0ms
(/ (* x (* x x)) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify2.4s

Counts
149 → 149
Iterations
IterNodes
done5002
23043
1709
0238

prune846.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize111.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (* (* (/ 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)))))
14.9b
(sqrt (/ (* (* (/ 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))))))
14.9b
(sqrt (/ (* (* (/ 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))))))
20.6b
(/ (* x (* x x)) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

rewrite449.0ms

Algorithm
rewrite-expression-head
Rules
66×add-cbrt-cube add-exp-log
27×cbrt-undiv div-exp
21×prod-exp cbrt-unprod
18×sqrt-prod
14×add-sqr-sqrt
12×*-un-lft-identity times-frac add-cube-cbrt
8×associate-/r/
7×associate-/l/
6×pow1 associate-/r*
5×frac-times associate-*l/
4×flip3-+ flip-+ div-inv add-log-exp
3×associate-*r/
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div associate-/l*
Counts
4 → 113
Calls
4 calls:
109.0ms
(/ (* (* (/ 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)))))
117.0ms
(sqrt (/ (* (* (/ 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))))))
125.0ms
(sqrt (/ (* (* (/ 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))))))
90.0ms
(/ (* x (* x x)) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

series511.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(/ (* (* (/ 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)))))
153.0ms
(sqrt (/ (* (* (/ 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))))))
152.0ms
(sqrt (/ (* (* (/ 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))))))
125.0ms
(/ (* x (* x x)) (+ (* x x) (+ (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (/ 1.0 3.0)))))

simplify1.8s

Counts
125 → 125
Iterations
IterNodes
done5060
22673
1685
0240

prune788.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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

sample349.0ms

Algorithm
intervals
Results
214.0ms8000×body80valid