Details

Time bar (total: 17.5s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify207.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite55.0ms

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 expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 60
Calls
1 calls:
52.0ms
(/ (- x y) (- 2.0 (+ x y)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify1.2s

Counts
63 → 63
Iterations

Useful iterations: 3 (471.0ms)

IterNodesCost
01141010
1284965
2745923
32060921
done5000921

prune112.0ms

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)))

rewrite546.0ms

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-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 722
Calls
3 calls:
29.0ms
(/ y (- 2.0 (+ x y)))
388.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
44.0ms
(/ x (- 2.0 (+ x y)))

series173.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ y (- 2.0 (+ x y)))
73.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
49.0ms
(/ x (- 2.0 (+ x y)))

simplify2.3s

Counts
731 → 731
Iterations

Useful iterations: done (2.3s)

IterNodesCost
058044551
1129639894
2283930752
done500022997

prune787.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
59×add-sqr-sqrt
38×times-frac
36×add-cube-cbrt
24×associate-*l*
18×prod-diff
15×add-exp-log distribute-lft-out--
11×distribute-rgt-in distribute-lft-in
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 expm1-log1p-u frac-times sub-neg rec-exp 1-exp associate-*r/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 123
Calls
2 calls:
54.0ms
(/ 1 (- 2.0 (+ x y)))
147.0ms
(* (/ 1 (- 2.0 (+ x y))) (- x y))

series134.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (- 2.0 (+ x y)))
79.0ms
(* (/ 1 (- 2.0 (+ x y))) (- x y))

simplify3.5s

Counts
129 → 129
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02142192
15231807
213501535
346021490
done50001490

prune204.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (+ 2.0 (+ x y)) (- (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))))
13.4b
(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))
14.9b
(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))

rewrite646.0ms

Algorithm
rewrite-expression-head
Rules
900×times-frac
648×prod-diff
635×*-un-lft-identity
622×add-sqr-sqrt
606×add-cube-cbrt
327×distribute-rgt-in distribute-lft-in
230×difference-of-squares
152×associate-/r/
79×flip3-- flip--
76×div-inv
19×associate-*r*
13×pow1
12×add-exp-log frac-times add-cbrt-cube
11×flip3-+ flip-+
9×associate-*l* distribute-lft-out
8×associate-/r*
6×associate-*r/ swap-sqr associate-/l*
5×distribute-lft-out--
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×distribute-rgt-out-- frac-sub sub-div
2×cbrt-undiv sub-neg frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 812
Calls
4 calls:
34.0ms
(* (+ x y) (+ x y))
482.0ms
(* (+ 2.0 (+ x y)) (- (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))))
27.0ms
(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))
14.0ms
(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ x y) (+ x y))
166.0ms
(* (+ 2.0 (+ x y)) (- (/ x (- (* 2.0 2.0) (* (+ x y) (+ x y)))) (/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))))
93.0ms
(/ x (- (* 2.0 2.0) (* (+ x y) (+ x y))))
89.0ms
(/ y (- (* 2.0 2.0) (* (+ x y) (+ x y))))

simplify4.8s

Counts
824 → 824
Iterations

Useful iterations: done (4.7s)

IterNodesCost
0137589750
1409680611
done500173902

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
1915
done915

end0.0ms

sample489.0ms

Algorithm
intervals
Results
337.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid