Details

Time bar (total: 6.6s)

sample26.0ms

Algorithm
intervals
Results
12.0ms471×body80valid

simplify144.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2257
3537
41137
51947
62147
72207
done2207

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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-exp-log add-cbrt-cube
2×associate-*r/ associate-*l/
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:
42.0ms
(* (+ x y) (+ x y))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* (+ x y) (+ x y))

simplify944.0ms

Counts
43 → 43
Iterations

Useful iterations: done (943.0ms)

IterNodesCost
062516
1226453
21687407
done5002400

prune54.0ms

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
19.0ms
(+ (* y (+ y (* 2 x))) (* x x))
18.0ms
(* y (+ y (* 2 x)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* y (+ y (* 2 x))) (* x x))
56.0ms
(* y (+ y (* 2 x)))

simplify807.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (209.0ms)

IterNodesCost
071527
1250501
21386447
done5000447

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* 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 unswap-sqr
Counts
2 → 35
Calls
2 calls:
17.0ms
(* x (+ x (* y 2)))
13.0ms
(+ (* y y) (* x (+ x (* y 2))))

series82.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (+ x (* y 2)))
26.0ms
(+ (* y y) (* x (+ x (* y 2))))

simplify731.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
071523
1251493
21414443
done5000443

prune89.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
13.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
255.0ms
(* (cbrt x) (cbrt x))
320.0ms
(cbrt x)
267.0ms
(cbrt x)
295.0ms
(cbrt x)

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: done (1.2s)

IterNodesCost
061524
1139417
2735397
done5000383

prune240.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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
11211
done1211

end0.0ms

sample781.0ms

Algorithm
intervals
Results
370.0ms14465×body80valid