Details

Time bar (total: 12.8s)

sample27.0ms

Algorithm
intervals
Results
15.0ms365×body80valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1137
2327
3667
4907
5967
done967

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

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
(- (* x x) (* x y))
30.0ms
(* 2.0 (- (* x x) (* x y)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* x x) (* x y))
71.0ms
(* 2.0 (- (* x x) (* x y)))

simplify1.6s

Counts
44 → 44
Iterations

Useful iterations: 2 (121.0ms)

IterNodesCost
064519
1158413
2501367
32243367
done5000367

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
39.0ms
(* (* 2.0 x) (- x y))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(* (* 2.0 x) (- x y))

simplify2.7s

Counts
29 → 29
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
062303
1167288
2656242
32669242
done5000242

prune45.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt 2.0) (sqrt (* x (- x y))))
0.3b
(* (* (sqrt 2.0) (sqrt (* x (- x y)))) (* (sqrt 2.0) (sqrt (* x (- x y)))))
8.2b
(sqrt (* x (- x y)))
8.2b
(sqrt (* x (- x y)))

rewrite342.0ms

Algorithm
rewrite-expression-head
Rules
126×pow1
81×pow-prod-down
64×sqrt-pow1
34×associate-*r/
24×pow1/2
18×add-exp-log sqrt-div add-cbrt-cube
13×pow-prod-up
11×add-sqr-sqrt
9×flip3-- prod-exp pow-sqr flip-- cbrt-unprod
7×add-cube-cbrt *-un-lft-identity associate-*l* sqrt-prod
6×sqrt-unprod
5×associate-*r*
4×frac-times add-log-exp
2×pow-plus associate-*l/ *-commutative unswap-sqr
1×pow2 swap-sqr rem-square-sqrt
Counts
4 → 118
Calls
4 calls:
68.0ms
(* (sqrt 2.0) (sqrt (* x (- x y))))
241.0ms
(* (* (sqrt 2.0) (sqrt (* x (- x y)))) (* (sqrt 2.0) (sqrt (* x (- x y)))))
13.0ms
(sqrt (* x (- x y)))
8.0ms
(sqrt (* x (- x y)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (sqrt 2.0) (sqrt (* x (- x y))))
168.0ms
(* (* (sqrt 2.0) (sqrt (* x (- x y)))) (* (sqrt 2.0) (sqrt (* x (- x y)))))
71.0ms
(sqrt (* x (- x y)))
94.0ms
(sqrt (* x (- x y)))

simplify5.3s

Counts
130 → 130
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
01391839
13441301
211451102
344931061
done50011061

prune323.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes62.0ms

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

sample1.3s

Algorithm
intervals
Results
950.0ms11227×body80valid