Details

Time bar (total: 7.1s)

sample62.0ms

Algorithm
intervals
Results
32.0ms452×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0811
1159
2249
3279
done279

prune8.0ms

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))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
18.0ms
(+ (* x 2.0) (* x x))
48.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series453.0ms

Counts
2 → 6
Calls
2 calls:
419.0ms
(+ (* x 2.0) (* x x))
33.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify1.1s

Counts
31 → 31
Iterations

Useful iterations: 2 (253.0ms)

IterNodesCost
057440
1205347
21469308
done5002308

prune130.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
19.0ms
(+ (* y y) (* x (+ 2.0 x)))
41.0ms
(* x (+ 2.0 x))

series121.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* y y) (* x (+ 2.0 x)))
83.0ms
(* x (+ 2.0 x))

simplify894.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (224.0ms)

IterNodesCost
070422
1230398
21266350
done5001350

prune167.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 2.0 x))
0.0b
(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
0.3b
(* x (sqrt (+ 2.0 x)))
0.4b
(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*r*
13×sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r/
9×flip3-+ flip-+
6×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 82
Calls
4 calls:
15.0ms
(sqrt (+ 2.0 x))
21.0ms
(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
45.0ms
(* x (sqrt (+ 2.0 x)))
102.0ms
(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))

series274.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt (+ 2.0 x))
62.0ms
(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
97.0ms
(* x (sqrt (+ 2.0 x)))
60.0ms
(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))

simplify1.5s

Counts
94 → 94
Iterations

Useful iterations: 2 (352.0ms)

IterNodesCost
01461336
14061000
22136886
done5000886

prune359.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes236.0ms

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
0811
11111
done1111

end0.0ms

sample1.4s

Algorithm
intervals
Results
902.0ms14174×body80valid