Details

Time bar (total: 9.3s)

sample36.0ms

Algorithm
intervals
Results
18.0ms353×body80valid

simplify130.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079
1137
2327
3667
4907
5967
done967

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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:
12.0ms
(- (* x x) (* x y))
44.0ms
(* 2.0 (- (* x x) (* x y)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* x x) (* x y))
66.0ms
(* 2.0 (- (* x x) (* x y)))

simplify1.7s

Counts
44 → 44
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
064519
1158413
2501367
32243367
done5000367

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
34.0ms
(* (* 2.0 x) (- x y))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* (* 2.0 x) (- x y))

simplify2.6s

Counts
29 → 29
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
062303
1167288
2656242
32669242
done5000242

prune50.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- x y))
0.2b
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
6.8b
(sqrt (* x (- x y)))
6.8b
(sqrt (* x (- x y)))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*r* flip--
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
22.0ms
(* x (- x y))
94.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
12.0ms
(sqrt (* x (- x y)))
12.0ms
(sqrt (* x (- x y)))

series286.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* x (- x y))
56.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
89.0ms
(sqrt (* x (- x y)))
89.0ms
(sqrt (* x (- x y)))

simplify2.2s

Counts
121 → 121
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01201349
12351007
2643923
32265883
done5000877

prune262.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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
067
187
done87

end0.0ms

sample1.4s

Algorithm
intervals
Results
502.0ms11091×body80valid