Details

Time bar (total: 16.2s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2289
3429
4449
done449

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize10.0ms

Local error

Found 1 expressions with local error:

13.8b
(/ (+ x y) (* (* x 2.0) y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×pow1 frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
57.0ms
(/ (+ x y) (* (* x 2.0) y))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.2s

Counts
30 → 30
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
073406
1213392
2859314
34528314
done5000314

prune68.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (/ 0.5 x) (/ 0.5 y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
6×times-frac
5×distribute-lft-out
3×add-sqr-sqrt add-cube-cbrt add-log-exp
2×div-inv
1×pow1 add-exp-log +-commutative flip3-+ frac-add sum-log add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
29.0ms
(+ (/ 0.5 x) (/ 0.5 y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(+ (/ 0.5 x) (/ 0.5 y))

simplify3.6s

Counts
20 → 20
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
046227
1117216
2279194
3831194
43589190
done5000190

prune52.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y))
0.4b
(* (/ (sqrt 0.5) 1) (+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y)))
0.5b
(/ (sqrt 0.5) y)
0.5b
(/ (sqrt 0.5) x)

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
94×*-un-lft-identity
90×times-frac
76×add-sqr-sqrt
56×add-cube-cbrt
51×sqrt-prod
22×associate-*l*
20×distribute-lft-out
15×add-exp-log
13×associate-*r* add-cbrt-cube
12×associate-/l*
7×div-inv
6×pow1 associate-/r* add-log-exp
5×unswap-sqr
4×div-exp
3×cbrt-undiv frac-times flip3-+ associate-*r/ frac-add prod-exp flip-+
2×frac-2neg clear-num cbrt-unprod
1×+-commutative distribute-rgt-in distribute-lft-in 1-exp pow-prod-down associate-*l/ sum-log *-commutative
Counts
4 → 163
Calls
4 calls:
43.0ms
(+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y))
202.0ms
(* (/ (sqrt 0.5) 1) (+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y)))
18.0ms
(/ (sqrt 0.5) y)
13.0ms
(/ (sqrt 0.5) x)

series377.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y))
145.0ms
(* (/ (sqrt 0.5) 1) (+ (/ (sqrt 0.5) x) (/ (sqrt 0.5) y)))
73.0ms
(/ (sqrt 0.5) y)
73.0ms
(/ (sqrt 0.5) x)

simplify3.3s

Counts
175 → 175
Iterations

Useful iterations: done (3.3s)

IterNodesCost
02162236
15131755
213301653
342561642
done50001636

prune442.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))))
0.5b
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
0.5b
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
0.5b
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
64×cbrt-prod
42×times-frac
37×add-sqr-sqrt distribute-lft-out
33×cbrt-div
29×add-cube-cbrt
14×div-inv
13×swap-sqr
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
9×frac-times pow1/3
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
257.0ms
(* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))))
33.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
19.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
34.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
511.0ms
(* (cbrt (+ (/ 0.5 y) (/ 0.5 x))) (cbrt (+ (/ 0.5 y) (/ 0.5 x))))
221.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
211.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))
237.0ms
(cbrt (+ (/ 0.5 y) (/ 0.5 x)))

simplify1.8s

Counts
141 → 141
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02273073
14642861
211692715
329052499
done50002409

prune535.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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
067
177
done77

end0.0ms

sample746.0ms

Algorithm
intervals
Results
508.0ms8000×body80valid