Details

Time bar (total: 9.5s)

sample23.0ms

Algorithm
intervals
Results
11.0ms367×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1137
2327
3587
4727
5817
done817

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*r*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
7.0ms
(* (* x (- x y)) 2.0)
7.0ms
(* x (- x y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (* x (- x y)) 2.0)
5.0ms
(* x (- x y))

simplify2.9s

Counts
52 → 52
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
077462
1188442
2624372
32703372
done5000372

prune51.0ms

Filtered
32 candidates to 52 candidates (-62.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New50252
Fresh011
Picked101
Done000
Total51354

Merged error: 0.0b

Counts
54 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*l*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/
1×flip3-- associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 22
Calls
1 calls:
8.0ms
(* (- x y) (* 2.0 x))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (- x y) (* 2.0 x))

simplify2.4s

Counts
25 → 25
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
054258
1144247
2496201
31702201
done5000201

prune31.0ms

Filtered
14 candidates to 25 candidates (-78.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24125
Fresh022
Picked011
Done000
Total24428

Merged error: 0b

Counts
28 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 38
Calls
2 calls:
9.0ms
(* 2.0 (- (* x x) (* x y)))
4.0ms
(- (* x x) (* x y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* 2.0 (- (* x x) (* x y)))
5.0ms
(- (* x x) (* x y))

simplify1.4s

Counts
44 → 44
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
064519
1160413
2530367
32277367
done5000367

prune45.0ms

Filtered
30 candidates to 44 candidates (-46.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh022
Picked011
Done011
Total44448

Merged error: 0b

Counts
48 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0)))
5.4b
(cbrt (* (* x (- x y)) 2.0))
5.4b
(cbrt (* (* x (- x y)) 2.0))
5.4b
(cbrt (* (* x (- x y)) 2.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/ associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0)))
6.0ms
(cbrt (* (* x (- x y)) 2.0))
6.0ms
(cbrt (* (* x (- x y)) 2.0))
6.0ms
(cbrt (* (* x (- x y)) 2.0))

series242.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (cbrt (* (* x (- x y)) 2.0)) (cbrt (* (* x (- x y)) 2.0)))
56.0ms
(cbrt (* (* x (- x y)) 2.0))
55.0ms
(cbrt (* (* x (- x y)) 2.0))
58.0ms
(cbrt (* (* x (- x y)) 2.0))

simplify1.3s

Counts
84 → 84
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01231423
12531304
26401178
318281060
done50001049

prune155.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done022
Total84488

Merged error: 0b

Counts
88 → 4

regimes161.0ms

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: 1 (1.0ms)

IterNodesCost
089
1127
done127

end0.0ms

sample644.0ms

Algorithm
intervals
Results
331.0ms11307×body80valid

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