Details

Time bar (total: 7.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1149
2279
3409
4419
done419

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize6.0ms

Local error

Found 1 expressions with local error:

14.3b
(/ (+ x y) (* (* x 2.0) y))

rewrite13.0ms

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:
12.0ms
(/ (+ x y) (* (* x 2.0) y))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify1.4s

Counts
30 → 30
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
073406
1220392
2858314
34552314
done5000314

prune51.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:
15.0ms
(+ (/ 0.5 x) (/ 0.5 y))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (/ 0.5 x) (/ 0.5 y))

simplify3.7s

Counts
20 → 20
Iterations

Useful iterations: 4 (572.0ms)

IterNodesCost
046227
1117216
2254194
31121194
44584190
done5000190

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* x 2.0))
7.9b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out
4×associate-/r*
3×associate-/l/
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×flip3-+ flip-+
Counts
2 → 77
Calls
2 calls:
8.0ms
(/ (+ x y) (* x 2.0))
12.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series84.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ x y) (* x 2.0))
51.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify460.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
01341127
13401092
21255970
done5001970

prune131.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
5.6b
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
17×*-un-lft-identity
15×add-cbrt-cube
13×times-frac
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt
10×cbrt-undiv div-exp
7×associate-/l*
6×cbrt-div
5×prod-exp cbrt-unprod
4×pow1 add-log-exp
3×flip3-+ pow1/3 flip-+ div-inv distribute-lft-out
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 80
Calls
4 calls:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
12.0ms
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (+ x y))
122.0ms
(cbrt (+ x y))
125.0ms
(cbrt (+ x y))
133.0ms
(/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) (* (cbrt y) (cbrt y)))

simplify450.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
01521390
13951318
215291080
done50001080

prune250.0ms

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

sample300.0ms

Algorithm
intervals
Results
177.0ms8001×body80valid