Details

Time bar (total: 8.2s)

sample24.0ms

Algorithm
intervals
Results
11.0ms369×body80valid

simplify151.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
079
1137
2327
3667
4977
51137
61157
done1157

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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:
57.0ms
(* 2.0 (- (* x x) (* x y)))
23.0ms
(- (* x x) (* x y))

series112.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* 2.0 (- (* x x) (* x y)))
45.0ms
(- (* x x) (* x y))

simplify582.0ms

Counts
44 → 44
Iterations

Useful iterations: done (580.0ms)

IterNodesCost
064519
1190431
2924369
done5001367

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

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:
56.0ms
(* (* 2.0 x) (- x y))

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(* (* 2.0 x) (- x y))

simplify862.0ms

Counts
29 → 29
Iterations

Useful iterations: done (860.0ms)

IterNodesCost
062303
1177288
21153246
done5001242

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 2.0 x) (- x y))
0.3b
(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
4.6b
(sqrt (* (* 2.0 x) (- x y)))
4.6b
(sqrt (* (* 2.0 x) (- x y)))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
20×associate-*r/
17×pow-prod-up
16×sqrt-div
14×pow1/2
13×add-sqr-sqrt
11×add-exp-log *-un-lft-identity pow-sqr add-cbrt-cube
9×add-cube-cbrt flip3-- associate-*r* flip--
6×sqrt-prod
5×associate-*l*
4×frac-times swap-sqr prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ *-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 128
Calls
4 calls:
31.0ms
(* (* 2.0 x) (- x y))
196.0ms
(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
23.0ms
(sqrt (* (* 2.0 x) (- x y)))
36.0ms
(sqrt (* (* 2.0 x) (- x y)))

series729.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (* 2.0 x) (- x y))
186.0ms
(* (sqrt (* (* 2.0 x) (- x y))) (sqrt (* (* 2.0 x) (- x y))))
234.0ms
(sqrt (* (* 2.0 x) (- x y)))
246.0ms
(sqrt (* (* 2.0 x) (- x y)))

simplify1.8s

Counts
140 → 140
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01481887
13841423
223551276
done50001225

prune331.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

2.5b
(* (- (* x x) (* y y)) (* 2.0 x))
16.0b
(/ (* (- (* x x) (* y y)) (* 2.0 x)) (+ x y))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×*-un-lft-identity
7×pow1
6×prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt
4×times-frac associate-*l* associate-*l/ associate-/r*
3×cbrt-undiv div-exp pow-prod-down
2×flip3-- associate-/r/ flip-- associate-/l/ distribute-lft-out add-log-exp
1×frac-2neg flip3-+ associate-*r* clear-num *-commutative flip-+ div-inv associate-/l* difference-of-squares
Counts
2 → 50
Calls
2 calls:
41.0ms
(* (- (* x x) (* y y)) (* 2.0 x))
38.0ms
(/ (* (- (* x x) (* y y)) (* 2.0 x)) (+ x y))

series172.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (- (* x x) (* y y)) (* 2.0 x))
95.0ms
(/ (* (- (* x x) (* y y)) (* 2.0 x)) (+ x y))

simplify1.4s

Counts
56 → 56
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01061010
1358973
22425783
done5000769

prune113.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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
079
199
done99

end0.0ms

sample1.0s

Algorithm
intervals
Results
600.0ms11080×body80valid