Details

Time bar (total: 12.6s)

sample23.0ms

Algorithm
intervals
Results
11.0ms365×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
079
1197
2417
3677
4717
done717

prune10.0ms

Pruning

2 alts after pruning (2 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))

rewrite33.0ms

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×associate-*l*
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative distribute-rgt-in fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
23.0ms
(* 2.0 (+ (* x x) (* x y)))
8.0ms
(+ (* x x) (* x y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* 2.0 (+ (* x x) (* x y)))
36.0ms
(+ (* x x) (* x y))

simplify2.3s

Counts
46 → 46
Iterations

Useful iterations: 2 (125.0ms)

IterNodesCost
066523
1195410
2710362
33050362
done5000362

prune105.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 25
Calls
1 calls:
37.0ms
(* (* 2.0 x) (+ x y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (* 2.0 x) (+ x y))

simplify3.4s

Counts
28 → 28
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
059286
1167265
2778225
33668224
done5000224

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt fma-def *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 14
Calls
1 calls:
39.0ms
(+ (* x (* 2.0 x)) (* (* 2.0 x) y))

series75.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(+ (* x (* 2.0 x)) (* (* 2.0 x) y))

simplify2.5s

Counts
17 → 17
Iterations

Useful iterations: done (2.5s)

IterNodesCost
036274
1121246
2504172
32636165
done5000164

prune71.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

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))))
7.0b
(sqrt (* (* 2.0 x) (+ x y)))
7.0b
(sqrt (* (* 2.0 x) (+ x y)))

rewrite251.0ms

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-exp-log add-sqr-sqrt *-un-lft-identity pow-sqr add-cbrt-cube
9×add-cube-cbrt flip3-+ flip-+
8×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u frac-times swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×associate-*l/ *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out unswap-sqr
Counts
4 → 133
Calls
4 calls:
30.0ms
(* (* 2.0 x) (+ x y))
161.0ms
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
17.0ms
(sqrt (* (* 2.0 x) (+ x y)))
31.0ms
(sqrt (* (* 2.0 x) (+ x y)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* 2.0 x) (+ x y))
155.0ms
(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
197.0ms
(sqrt (* (* 2.0 x) (+ x y)))
208.0ms
(sqrt (* (* 2.0 x) (+ x y)))

simplify1.4s

Counts
145 → 145
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01461953
13371433
213761302
done50001221

prune383.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

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
197
done97

end0.0ms

sample997.0ms

Algorithm
intervals
Results
514.0ms11077×body80valid