Details

Time bar (total: 4.3s)

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

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 y) (- x y))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
54.0ms
(/ (+ x y) (- x y))

series113.0ms

Counts
1 → 3
Calls
1 calls:
113.0ms
(/ (+ x y) (- x y))

simplify106.0ms

Counts
48 → 48

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (+ x y) (- x y)))
0.0b
(cbrt (/ (+ x y) (- x y)))
0.0b
(cbrt (/ (+ x y) (- x y)))
0.0b
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×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-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
10.0ms
(cbrt (/ (+ x y) (- x y)))
17.0ms
(cbrt (/ (+ x y) (- x y)))
18.0ms
(cbrt (/ (+ x y) (- x y)))
153.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt (/ (+ x y) (- x y)))
290.0ms
(cbrt (/ (+ x y) (- x y)))
262.0ms
(cbrt (/ (+ x y) (- x y)))
213.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

simplify65.0ms

Counts
256 → 256

prune668.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
68.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
7.0ms
(cbrt (- x y))
7.0ms
(cbrt (- x y))
7.0ms
(cbrt (- x y))

series737.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
174.0ms
(cbrt (- x y))
208.0ms
(cbrt (- x y))
191.0ms
(cbrt (- x y))

simplify55.0ms

Counts
113 → 113

prune374.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample561.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid