Details

Time bar (total: 13.4s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify29.0ms

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: 16.9b

localize9.0ms

Local error

Found 1 expressions with local error:

16.3b
(/ (+ x y) (* (* x 2.0) y))

rewrite56.0ms

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:
54.0ms
(/ (+ x y) (* (* x 2.0) y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.0s

Counts
30 → 30
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
073406
1213392
2859314
34528314
done5000314

prune67.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:
36.0ms
(+ (/ 0.5 x) (/ 0.5 y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(+ (/ 0.5 x) (/ 0.5 y))

simplify3.3s

Counts
20 → 20
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
046227
1117216
2279194
3831194
43589190
done5000190

prune50.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
7.9b
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
47×add-exp-log
45×cbrt-prod add-sqr-sqrt
32×associate-*r* add-cbrt-cube
29×add-cube-cbrt
24×times-frac
19×prod-exp cbrt-unprod
16×cbrt-div
13×pow1 cbrt-undiv div-exp
12×associate-*l*
11×distribute-lft-out
9×swap-sqr
8×flip3-+ pow1/3 flip-+
7×unswap-sqr
5×frac-times
4×add-log-exp
3×associate-*r/ pow-prod-down associate-*l/
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 146
Calls
4 calls:
7.0ms
(cbrt (+ x y))
7.0ms
(cbrt (+ x y))
62.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
128.0ms
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

series651.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(cbrt (+ x y))
162.0ms
(cbrt (+ x y))
224.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
115.0ms
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

simplify1.8s

Counts
158 → 158
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02392924
16442694
230172144
done50001962

prune385.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

9.0b
(/ (/ (+ x y) y) (* x 2.0))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
29×*-un-lft-identity
17×add-sqr-sqrt add-cube-cbrt
16×associate-/l*
13×add-exp-log add-cbrt-cube
6×cbrt-undiv div-exp distribute-lft-out
3×div-inv
2×prod-exp cbrt-unprod
1×pow1 frac-2neg clear-num associate-/r* associate-/l/ add-log-exp
Counts
1 → 52
Calls
1 calls:
50.0ms
(/ (/ (+ x y) y) (* x 2.0))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (/ (+ x y) y) (* x 2.0))

simplify2.9s

Counts
55 → 55
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
0117761
1286739
2901641
34114641
done5001641

prune102.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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
177
done77

end0.0ms

sample567.0ms

Algorithm
intervals
Results
395.0ms8003×body80valid