Details

Time bar (total: 11.4s)

sample25.0ms

Algorithm
intervals
Results
10.0ms480×body80valid

simplify80.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2257
3537
4727
5887
6977
71037
done1037

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))

rewrite38.0ms

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:
36.0ms
(* (+ x y) (+ x y))

series16.0ms

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

simplify2.2s

Counts
43 → 43
Iterations

Useful iterations: done (2.2s)

IterNodesCost
062516
1187453
2742407
33329376
done5000373

prune61.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*l/
11×add-sqr-sqrt *-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube 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:
28.0ms
(* (+ x y) x)
15.0ms
(+ (* (+ x y) x) (* (+ x y) y))
24.0ms
(* (+ x y) y)

series95.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (+ x y) x)
28.0ms
(+ (* (+ x y) x) (* (+ x y) y))
36.0ms
(* (+ x y) y)

simplify3.1s

Counts
67 → 67
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0106827
1293718
21097636
34968610
done5001610

prune121.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:
16.0ms
(* y (+ y (* 2 x)))
12.0ms
(+ (* y (+ y (* 2 x))) (* x x))

series73.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* y (+ y (* 2 x)))
27.0ms
(+ (* y (+ y (* 2 x))) (* x x))

simplify3.0s

Counts
41 → 41
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
071527
1219489
2754445
33394437
done5000437

prune122.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
16.0ms
(* x (+ x (* y 2)))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* x (+ x (* y 2)))

simplify1.4s

Counts
25 → 25
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
047253
1144240
2470214
31817214
done5000214

prune41.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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
0811
11211
done1211

end0.0ms

sample949.0ms

Algorithm
intervals
Results
422.0ms14173×body80valid