Details

Time bar (total: 2.7s)

sample27.0ms

Algorithm
intervals
Results
14.0ms483×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0176
1375
2465
3465
done465

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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+
Counts
2 → 24
Calls
2 calls:
33.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
9.0ms
(+ (* x x) (* (* x 2.0) y))

series64.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
40.0ms
(+ (* x x) (* (* x 2.0) y))

simplify156.0ms

Counts
30 → 30
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0191234
1998212
24902196
35002196
done5002196

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*r* 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 unswap-sqr
Counts
2 → 35
Calls
2 calls:
10.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))
25.0ms
(* y (+ (* x 2.0) y))

series65.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))
40.0ms
(* y (+ (* x 2.0) y))

simplify39.0ms

Counts
41 → 41
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0224234
11140214
25002214
done5002214

prune67.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
8.8b
(cbrt (+ (* x x) (* (* x 2.0) y)))
8.8b
(cbrt (+ (* x x) (* (* x 2.0) y)))
8.8b
(cbrt (+ (* x x) (* (* x 2.0) y)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
44.0ms
(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
5.0ms
(cbrt (+ (* x x) (* (* x 2.0) y)))
5.0ms
(cbrt (+ (* x x) (* (* x 2.0) y)))
5.0ms
(cbrt (+ (* x x) (* (* x 2.0) y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
250.0ms
(cbrt (+ (* x x) (* (* x 2.0) y)))
255.0ms
(cbrt (+ (* x x) (* (* x 2.0) y)))
252.0ms
(cbrt (+ (* x x) (* (* x 2.0) y)))

simplify90.0ms

Counts
99 → 99
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
02181168
17531089
231371014
350021007
done50021007

prune268.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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
0125
1125
done125

end0.0ms

sample634.0ms

Algorithm
intervals
Results
349.0ms14301×body80valid