Details

Time bar (total: 8.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify99.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
19×distribute-lft-out--
14×add-cube-cbrt
13×difference-of-squares
6×associate-/r* distribute-lft-out
5×associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 58
Calls
1 calls:
46.0ms
(/ (- x y) (- 2.0 (+ x y)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.2s

Counts
61 → 61

prune151.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
64×times-frac
59×add-sqr-sqrt
41×distribute-lft-out--
27×add-cube-cbrt
14×distribute-lft-out difference-of-squares
12×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 116
Calls
3 calls:
43.0ms
(/ y (- 2.0 (+ x y)))
36.0ms
(/ x (- 2.0 (+ x y)))
239.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series197.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ y (- 2.0 (+ x y)))
54.0ms
(/ x (- 2.0 (+ x y)))
92.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify1.2s

Counts
125 → 125

prune324.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 2.0 (+ x y)))
0.1b
(* (/ 1 (- 2.0 (+ x y))) (- x y))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
47×add-sqr-sqrt
38×times-frac
24×add-cube-cbrt associate-*l*
15×add-exp-log distribute-lft-out--
9×add-cbrt-cube
8×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×pow1 associate-*r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-/l* unswap-sqr
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*r/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 101
Calls
2 calls:
41.0ms
(/ 1 (- 2.0 (+ x y)))
130.0ms
(* (/ 1 (- 2.0 (+ x y))) (- x y))

series122.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (- 2.0 (+ x y)))
75.0ms
(* (/ 1 (- 2.0 (+ x y))) (- x y))

simplify756.0ms

Counts
107 → 107

prune464.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- x y)) (cbrt (- x y)))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))
0.6b
(cbrt (- 2.0 (+ x y)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
44×*-un-lft-identity
37×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
12×distribute-lft-out--
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
3×distribute-lft-out
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 104
Calls
4 calls:
41.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
13.0ms
(cbrt (- 2.0 (+ x y)))
13.0ms
(cbrt (- 2.0 (+ x y)))
18.0ms
(cbrt (- 2.0 (+ x y)))

series555.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
142.0ms
(cbrt (- 2.0 (+ x y)))
119.0ms
(cbrt (- 2.0 (+ x y)))
105.0ms
(cbrt (- 2.0 (+ x y)))

simplify1.7s

Counts
116 → 116

prune467.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify112.0ms

end0.0ms

sample488.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid