Details

Time bar (total: 9.0s)

sample36.0ms

Algorithm
intervals
Results
17.0ms458×body80valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
11182
22582
35382
47282
58882
69782
710382
done10382

prune6.0ms

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 y) (+ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
8×pow1
7×add-sqr-sqrt
6×flip3-+ swap-sqr flip-+ distribute-lft-out
5×add-cube-cbrt
4×frac-times associate-*r* associate-*l*
3×add-cbrt-cube add-exp-log
2×associate-*l/ associate-*r/
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
30.0ms
(* (+ x y) (+ x y))

series17.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (+ x y) (+ x y))

simplify3.7s

Counts
43 → 43
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
06210242
12246874
27936794
339386751
done50006751

prune153.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*l*
7×pow1 flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
6×associate-*r*
5×add-log-exp
4×frac-add
3×distribute-lft-out
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sum-log
Counts
3 → 58
Calls
3 calls:
26.0ms
(* (+ x y) x)
26.0ms
(* (+ x y) y)
13.0ms
(+ (* (+ x y) x) (* (+ x y) y))

series132.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (+ x y) x)
46.0ms
(* (+ x y) y)
43.0ms
(+ (* (+ x y) x) (* (+ x y) y))

simplify1.5s

Counts
67 → 67
Iterations

Useful iterations: done (1.5s)

IterNodesCost
010617721
130712697
2110712377
done500012217

prune319.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* 2 (* x y)))
0.0b
(+ (+ (* x x) (* 2 (* x y))) (* y y))
0.0b
(* 2 (* x y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt sum-log *-un-lft-identity add-cube-cbrt
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ flip-+
1×associate-+l+ associate-*r* *-commutative
Counts
3 → 42
Calls
3 calls:
11.0ms
(+ (* x x) (* 2 (* x y)))
40.0ms
(+ (+ (* x x) (* 2 (* x y))) (* y y))
15.0ms
(* 2 (* x y))

series141.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (* x x) (* 2 (* x y)))
41.0ms
(+ (+ (* x x) (* 2 (* x y))) (* y y))
33.0ms
(* 2 (* x y))

simplify1.7s

Counts
51 → 51
Iterations

Useful iterations: done (1.7s)

IterNodesCost
08013827
126011155
2102011004
done500010924

prune207.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

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
09243
113243
done13243

end0.0ms

sample686.0ms

Algorithm
intervals
Results
402.0ms14109×body80valid