Details

Time bar (total: 2.4s)

sample26.0ms

Algorithm
intervals
Results
13.0ms483×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1254
2274
3274
done274

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y y) (* x (+ 2.0 x)))
0.0b
(* x (+ 2.0 x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
9.0ms
(+ (* y y) (* x (+ 2.0 x)))
18.0ms
(* x (+ 2.0 x))

series79.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* y y) (* x (+ 2.0 x)))
47.0ms
(* x (+ 2.0 x))

simplify35.0ms

Counts
42 → 42
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0206183
11038169
25002169
done5002169

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 2.0) (* x x))
0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
8.0ms
(+ (* x 2.0) (* x x))
27.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ (* x 2.0) (* x x))
32.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify104.0ms

Counts
31 → 31
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0182191
1887164
23634160
35002160
done5002160

prune60.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
0.0b
(- (* x x) (* 2.0 x))
0.1b
(* x (+ (pow 2.0 3) (pow x 3)))
8.3b
(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
associate-*r*
add-cube-cbrt add-log-exp
pow1
distribute-lft-out
unpow-prod-down flip3-+ cube-prod associate-*r/ flip-+
times-frac associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
+-commutative distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log sum-cubes *-commutative flip-- div-inv associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
54.0ms
(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
7.0ms
(- (* x x) (* 2.0 x))
70.0ms
(* x (+ (pow 2.0 3) (pow x 3)))
52.0ms
(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series470.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(+ (* y y) (/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))))
63.0ms
(- (* x x) (* 2.0 x))
99.0ms
(* x (+ (pow 2.0 3) (pow x 3)))
200.0ms
(/ (* x (+ (pow 2.0 3) (pow x 3))) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify71.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0471800
12465703
25003696
done5003696

prune444.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115
done115

end0.0ms

sample607.0ms

Algorithm
intervals
Results
325.0ms14301×body80valid