Details

Time bar (total: 13.0s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify143.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1179
2289
3419
4549
5659
6779
7899
8969
91049
101059
111079
121089
done1089

prune1.0ms

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)))

rewrite45.0ms

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:
42.0ms
(/ (- x y) (- 2.0 (+ x y)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.5s

Counts
61 → 61
Iterations

Useful iterations: 3 (387.0ms)

IterNodesCost
0112990
1276951
2712905
31924903
done5000903

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite268.0ms

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
(/ y (- 2.0 (+ x y)))
200.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
32.0ms
(/ x (- 2.0 (+ x y)))

series176.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ y (- 2.0 (+ x y)))
73.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
52.0ms
(/ x (- 2.0 (+ x y)))

simplify1.2s

Counts
125 → 125
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01761863
13761776
28551702
319061692
done50001682

prune289.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
0.2b
(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
0.2b
(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
0.2b
(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
1319×*-un-lft-identity
513×distribute-lft-out--
484×times-frac
313×cbrt-prod
149×add-sqr-sqrt
138×distribute-lft-out
100×swap-sqr
52×cbrt-div
42×difference-of-squares
29×add-cube-cbrt
28×associate-/r/
27×flip3-- flip--
26×associate-*r* associate-*l*
21×distribute-rgt-out--
16×frac-times
14×div-inv
13×frac-sub sub-div
11×pow1
9×pow1/3
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 303
Calls
4 calls:
1.2s
(* (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
129.0ms
(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
136.0ms
(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
164.0ms
(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

series834.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))) (cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
198.0ms
(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
214.0ms
(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
256.0ms
(cbrt (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

simplify2.0s

Counts
315 → 315
Iterations

Useful iterations: done (2.0s)

IterNodesCost
027711746
151710659
2128210312
328168629
done50008498

prune660.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- 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))))
4.0b
(/ (- (* (/ 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)))))

rewrite866.0ms

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:
29.0ms
(/ x (- 2.0 (+ x y)))
158.0ms
(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
181.0ms
(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
462.0ms
(/ (- (* (/ 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)))))

series379.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ x (- 2.0 (+ x y)))
80.0ms
(* (/ y (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
76.0ms
(* (/ x (- 2.0 (+ x y))) (/ x (- 2.0 (+ x y))))
160.0ms
(/ (- (* (/ 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)))))

simplify1.1s

Counts
420 → 420
Iterations

Useful iterations: done (1.0s)

IterNodesCost
044814762
1130613466
done500012886

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
11350
done1350

end0.0ms

sample577.0ms

Algorithm
intervals
Results
393.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid