Details

Time bar (total: 4.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify7.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

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:
57.0ms
(/ (- x y) (- 2.0 (+ x y)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify63.0ms

Counts
61 → 61

prune149.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite299.0ms

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:
31.0ms
(/ x (- 2.0 (+ x y)))
231.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
32.0ms
(/ y (- 2.0 (+ x y)))

series217.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ x (- 2.0 (+ x y)))
90.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
65.0ms
(/ y (- 2.0 (+ x y)))

simplify66.0ms

Counts
125 → 125

prune242.0ms

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
(/ y (- 2.0 (+ x y)))
0.0b
(* (+ x y) (+ x y))
5.0b
(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
14.8b
(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
52×add-sqr-sqrt
43×times-frac
37×add-cube-cbrt
22×associate-*l*
15×add-exp-log add-cbrt-cube
13×pow1 distribute-lft-out
11×difference-of-squares
10×associate-/r*
9×associate-*r*
8×flip3-+ flip-+ distribute-lft-out--
6×frac-times swap-sqr associate-/r/ associate-/l*
4×associate-*r/ add-log-exp
3×cbrt-undiv flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv unswap-sqr
2×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 159
Calls
4 calls:
41.0ms
(/ y (- 2.0 (+ x y)))
42.0ms
(* (+ x y) (+ x y))
91.0ms
(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
19.0ms
(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series310.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(/ y (- 2.0 (+ x y)))
22.0ms
(* (+ x y) (+ x y))
116.0ms
(* (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
104.0ms
(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify113.0ms

Counts
171 → 171

prune434.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
3.2b
(* (/ (cbrt x) (- 2.0 (+ x y))) (+ 2.0 (+ x y)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
47×add-sqr-sqrt
42×associate-*l*
38×times-frac
28×cbrt-prod
27×add-cube-cbrt
12×distribute-lft-out--
9×add-exp-log distribute-lft-out
8×add-cbrt-cube
6×pow1 difference-of-squares
5×associate-*r*
4×add-log-exp
3×pow1/3 unswap-sqr
2×frac-times flip3-+ associate-*r/ prod-exp associate-/r/ cbrt-unprod flip-+
1×cbrt-undiv distribute-rgt-in flip3-- distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
4 → 103
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
138.0ms
(* (/ (cbrt x) (- 2.0 (+ x y))) (+ 2.0 (+ x y)))

series754.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt x)
199.0ms
(cbrt x)
195.0ms
(cbrt x)
133.0ms
(* (/ (cbrt x) (- 2.0 (+ x y))) (+ 2.0 (+ x y)))

simplify52.0ms

Counts
115 → 115

prune361.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

end0.0ms

sample974.0ms

Algorithm
intervals
Results
684.0ms7998×body80valid
0.0ms2×body1280valid