Details

Time bar (total: 7.7s)

sample18.0ms

Algorithm
intervals
Results
8.0ms343×body80valid

simplify45.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
07163
118123
236123
357123
481123
587123
done87123

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
18.0ms
(* 2.0 (+ (* x x) (* x y)))
9.0ms
(+ (* x x) (* x y))

series104.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* 2.0 (+ (* x x) (* x y)))
47.0ms
(+ (* x x) (* x y))

simplify1.4s

Counts
41 → 41
Iterations

Useful iterations: done (1.4s)

IterNodesCost
06210060
12187051
212266731
done50026651

prune231.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt associate-*r/ add-cube-cbrt
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
23.0ms
(* (* 2.0 x) (+ x y))

series60.0ms

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

simplify1.2s

Counts
26 → 26
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0575702
11774396
213654276
done50004156

prune100.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

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))))
6.5b
(sqrt (* (* 2.0 x) (+ x y)))
6.5b
(sqrt (* (* 2.0 x) (+ x y)))

rewrite221.0ms

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
11×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-exp-log pow-sqr
9×flip3-+ add-cube-cbrt flip-+
8×associate-*r*
6×sqrt-prod
5×associate-*l*
4×frac-times swap-sqr prod-exp cbrt-unprod add-log-exp
2×associate-*l/ *-commutative
1×pow2 distribute-rgt-in rem-square-sqrt distribute-lft-in pow-plus sqrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 125
Calls
4 calls:
43.0ms
(* (* 2.0 x) (+ x y))
129.0ms
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
15.0ms
(sqrt (* (* 2.0 x) (+ x y)))
22.0ms
(sqrt (* (* 2.0 x) (+ x y)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (* 2.0 x) (+ x y))
194.0ms
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
162.0ms
(sqrt (* (* 2.0 x) (+ x y)))
167.0ms
(sqrt (* (* 2.0 x) (+ x y)))

simplify2.2s

Counts
137 → 137
Iterations

Useful iterations: 2 (641.0ms)

IterNodesCost
013933208
138323449
2262522769
done500122809

prune457.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes153.0ms

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
06123
19123
done9123

end0.0ms

sample726.0ms

Algorithm
intervals
Results
493.0ms11230×body80valid