Details

Time bar (total: 13.4s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1179
2289
3419
4559
51179
63169
710559
839199
done50009

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite77.0ms

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:
71.0ms
(/ (- x y) (- 2.0 (+ x y)))

series93.0ms

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

simplify599.0ms

Counts
61 → 61
Iterations

Useful iterations: done (595.0ms)

IterNodesCost
0112990
1281951
21017907
done5000905

prune116.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite362.0ms

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:
257.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
41.0ms
(/ y (- 2.0 (+ x y)))
51.0ms
(/ x (- 2.0 (+ x y)))

series237.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
65.0ms
(/ y (- 2.0 (+ x y)))
72.0ms
(/ x (- 2.0 (+ x y)))

simplify769.0ms

Counts
125 → 125
Iterations

Useful iterations: done (762.0ms)

IterNodesCost
01761863
13901776
212991702
done50001698

prune315.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

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:
44.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
8.0ms
(cbrt (- x y))
7.0ms
(cbrt (- x y))
8.0ms
(cbrt (- x y))

series863.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
202.0ms
(cbrt (- x y))
226.0ms
(cbrt (- x y))
218.0ms
(cbrt (- x y))

simplify1.1s

Counts
113 → 113
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01311384
12861281
29411223
done50001173

prune495.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- 2.0 (+ x y)))
0.1b
(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.1b
(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
3.5b
(/ (- (* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y)))) (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (+ (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
738×*-un-lft-identity
438×times-frac
254×add-sqr-sqrt
164×distribute-lft-out--
154×add-cube-cbrt
147×distribute-lft-out
84×swap-sqr
58×difference-of-squares
48×associate-*r* associate-*l*
41×associate-/r/
32×add-exp-log add-cbrt-cube
25×associate-/r*
20×flip3-- flip-- div-inv
18×pow1
16×associate-/l/
15×distribute-rgt-out
12×associate-*r/ associate-*l/
10×cbrt-undiv frac-times div-exp
9×frac-sub
8×prod-exp cbrt-unprod unswap-sqr
7×associate-/l*
5×sub-div
4×add-log-exp
2×pow2 frac-2neg pow-plus pow-prod-down clear-num pow-sqr *-commutative pow-prod-up
1×flip3-+ div-sub frac-add flip-+
Counts
4 → 408
Calls
4 calls:
39.0ms
(/ y (- 2.0 (+ x y)))
196.0ms
(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
623.0ms
(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
691.0ms
(/ (- (* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y)))) (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (+ (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

series474.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ y (- 2.0 (+ x y)))
88.0ms
(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
93.0ms
(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
211.0ms
(/ (- (* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y)))) (* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (+ (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

simplify989.0ms

Counts
420 → 420
Iterations

Useful iterations: done (955.0ms)

IterNodesCost
044814762
1155813722
done500013032

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11120
done1120

end0.0ms

sample763.0ms

Algorithm
intervals
Results
454.0ms7999×body80valid
0.0ms1×body640valid