Details

Time bar (total: 17.9s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5001
83929
71054
6315
5117
455
341
228
117
07

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite66.0ms

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-cbrt-cube add-exp-log
2×flip3-- associate-/r/ flip-- associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
61.0ms
(/ (- x y) (- 2.0 (+ x y)))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify930.0ms

Counts
63 → 63
Iterations
IterNodes
done5000
21062
1289
0114

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite437.0ms

Algorithm
rewrite-expression-head
Rules
1352×*-un-lft-identity
946×times-frac
843×add-sqr-sqrt
576×prod-diff
517×add-cube-cbrt
335×distribute-lft-out--
161×distribute-lft-out difference-of-squares
106×associate-/r/
54×flip3-- flip--
53×div-inv
24×fma-neg
12×associate-/r*
7×add-cbrt-cube add-exp-log
6×associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 722
Calls
3 calls:
295.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
24.0ms
(/ x (- 2.0 (+ x y)))
31.0ms
(/ y (- 2.0 (+ x y)))

series221.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
74.0ms
(/ x (- 2.0 (+ x y)))
65.0ms
(/ y (- 2.0 (+ x y)))

simplify2.7s

Counts
731 → 731
Iterations
IterNodes
done5000
24359
11341
0580

prune3.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
23×cbrt-prod
16×add-sqr-sqrt
8×cbrt-div add-cube-cbrt
7×distribute-lft-out--
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u flip-- add-log-exp difference-of-squares
3×distribute-lft-out
Counts
4 → 71
Calls
4 calls:
6.0ms
(cbrt (- x y))
20.0ms
(cbrt (- 2.0 (+ x y)))
20.0ms
(cbrt (- 2.0 (+ x y)))
18.0ms
(cbrt (- 2.0 (+ x y)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt (- x y))
135.0ms
(cbrt (- 2.0 (+ x y)))
159.0ms
(cbrt (- 2.0 (+ x y)))
144.0ms
(cbrt (- 2.0 (+ x y)))

simplify2.5s

Counts
83 → 83
Iterations
IterNodes
done5000
34787
2924
1325
0139

prune564.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- 2.0 (+ x y)))
0.0b
(* (+ x y) (+ x y))
8.0b
(* (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
14.7b
(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite216.0ms

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-cbrt-cube add-exp-log
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×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod div-inv flip-- unswap-sqr
2×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 167
Calls
4 calls:
29.0ms
(/ x (- 2.0 (+ x y)))
31.0ms
(* (+ x y) (+ x y))
127.0ms
(* (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
20.0ms
(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ x (- 2.0 (+ x y)))
27.0ms
(* (+ x y) (+ x y))
137.0ms
(* (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (+ 2.0 (+ x y)))
110.0ms
(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify1.0s

Counts
179 → 179
Iterations
IterNodes
done5000
1897
0271

prune920.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample566.0ms

Algorithm
intervals
Results
378.0ms8000×body80valid