Details

Time bar (total: 9.0s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0482
1582
done582

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
16.0ms
(/ x (+ x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ x (+ x y))

simplify1.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
0596956
11286259
24106179
319986179
done50006179

prune144.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
8.6b
(cbrt (/ x (+ x y)))
8.6b
(cbrt (/ x (+ x y)))
8.6b
(cbrt (/ x (+ x y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
57.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
6.0ms
(cbrt (/ x (+ x y)))
9.0ms
(cbrt (/ x (+ x y)))
9.0ms
(cbrt (/ x (+ x y)))

series794.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
200.0ms
(cbrt (/ x (+ x y)))
178.0ms
(cbrt (/ x (+ x y)))
198.0ms
(cbrt (/ x (+ x y)))

simplify1.7s

Counts
192 → 192
Iterations

Useful iterations: done (1.7s)

IterNodesCost
016370811
128565236
2118765195
done500064635

prune948.0ms

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
(/ x (+ x y))
0.0b
(* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
14.9b
(cbrt (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))))

rewrite299.0ms

Algorithm
rewrite-expression-head
Rules
113×*-un-lft-identity
89×times-frac
72×add-sqr-sqrt
59×add-cbrt-cube add-exp-log
57×add-cube-cbrt
36×associate-*r*
30×pow1
25×distribute-lft-out
24×swap-sqr
22×prod-exp cbrt-unprod
19×associate-*l*
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*l/
7×cbrt-div pow-plus associate-*r/ pow-prod-up
6×flip3-+ flip-+ div-inv unswap-sqr
4×associate-/r* pow-prod-down add-log-exp
3×pow2 pow-sqr associate-/l*
2×pow3 *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 205
Calls
4 calls:
17.0ms
(/ x (+ x y))
110.0ms
(* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y)))
55.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
98.0ms
(cbrt (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ x (+ x y))
127.0ms
(* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y)))
87.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
82.0ms
(cbrt (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))))

simplify1.1s

Counts
217 → 217
Iterations

Useful iterations: done (1.1s)

IterNodesCost
019953361
171447304
done500044659

prune942.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes158.0ms

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
0482
1582
done582

end0.0ms

sample491.0ms

Algorithm
intervals
Results
263.0ms8000×body80valid