Details

Time bar (total: 6.1s)

sample31.0ms

Algorithm
intervals
Results
12.0ms468×body80valid

simplify119.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1117
2257
3537
41137
51947
62147
72207
done2207

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
40.0ms
(* (+ x y) (+ x y))

series16.0ms

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

simplify994.0ms

Counts
43 → 43
Iterations

Useful iterations: done (992.0ms)

IterNodesCost
062516
1226453
21687407
done5002400

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:
21.0ms
(+ (* y (+ y (* 2 x))) (* x x))
22.0ms
(* y (+ y (* 2 x)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* y (+ y (* 2 x))) (* x x))
50.0ms
(* y (+ y (* 2 x)))

simplify765.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (197.0ms)

IterNodesCost
071527
1250501
21386447
done5000447

prune104.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
24.0ms
(+ (* (* 2 x) y) (* x x))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(+ (* (* 2 x) y) (* x x))

simplify668.0ms

Counts
14 → 14
Iterations

Useful iterations: done (668.0ms)

IterNodesCost
032208
1114203
2661175
done5001143

prune42.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
47.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series690.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
162.0ms
(cbrt (+ x y))
148.0ms
(cbrt (+ x y))
186.0ms
(cbrt (+ x y))

simplify665.0ms

Counts
107 → 107
Iterations

Useful iterations: done (662.0ms)

IterNodesCost
01161266
12781147
210681089
done50011069

prune236.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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
0913
11313
done1313

end0.0ms

sample1.3s

Algorithm
intervals
Results
388.0ms14168×body80valid