Details

Time bar (total: 22.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1179
2289
3419
4559
51179
63169
710559
839199
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite67.0ms

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:
64.0ms
(/ (- x y) (- 2.0 (+ x y)))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify645.0ms

Counts
63 → 63
Iterations

Useful iterations: done (642.0ms)

IterNodesCost
01141010
1289965
21052925
done5000923

prune177.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite491.0ms

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:
31.0ms
(/ y (- 2.0 (+ x y)))
30.0ms
(/ x (- 2.0 (+ x y)))
349.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series510.0ms

Counts
3 → 9
Calls
3 calls:
364.0ms
(/ y (- 2.0 (+ x y)))
65.0ms
(/ x (- 2.0 (+ x y)))
80.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify2.5s

Counts
731 → 731
Iterations

Useful iterations: 2 (946.0ms)

IterNodesCost
058044551
1134039990
2425731400
done500031400

prune2.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 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
(log1p (expm1 (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
0.3b
(expm1 (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

rewrite442.0ms

Algorithm
rewrite-expression-head
Rules
1322×*-un-lft-identity
928×times-frac
825×add-sqr-sqrt
576×prod-diff
507×add-cube-cbrt
327×distribute-lft-out--
157×distribute-lft-out difference-of-squares
104×associate-/r/
53×flip3-- flip--
52×div-inv
24×fma-neg
6×add-exp-log associate-/r* add-cbrt-cube add-log-exp
5×log1p-expm1-u
4×pow1 expm1-log1p-u
3×distribute-rgt-out-- associate-/l*
1×cbrt-undiv sub-neg log1p-udef expm1-log1p frac-2neg diff-log log1p-expm1 div-exp clear-num frac-sub expm1-udef sub-div
Counts
4 → 701
Calls
4 calls:
29.0ms
(/ x (- 2.0 (+ x y)))
310.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
0.0ms
(log1p (expm1 (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
1.0ms
(expm1 (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

series468.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ x (- 2.0 (+ x y)))
74.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
169.0ms
(log1p (expm1 (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))
174.0ms
(expm1 (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))

simplify2.1s

Counts
713 → 713
Iterations

Useful iterations: done (2.1s)

IterNodesCost
059244545
1133739989
2401131439
done500031437

prune2.8s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
0.0b
(/ (- 2.0 (+ x y)) y)
0.0b
(/ x (- 2.0 (+ x y)))
0.6b
(/ 1 (/ (- 2.0 (+ x y)) y))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
4373×times-frac
4363×*-un-lft-identity
3018×add-sqr-sqrt
2081×add-cube-cbrt
1704×prod-diff
911×distribute-lft-out--
462×difference-of-squares
453×distribute-lft-out
176×div-inv
171×associate-/r/
75×flip3-- flip--
31×associate-/r*
24×fma-neg
19×add-exp-log
13×add-cbrt-cube
12×associate-/l*
9×div-exp
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/
1×sub-neg pow-flip diff-log div-sub frac-sub inv-pow
Counts
4 → 1959
Calls
4 calls:
486.0ms
(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
73.0ms
(/ (- 2.0 (+ x y)) y)
35.0ms
(/ x (- 2.0 (+ x y)))
53.0ms
(/ 1 (/ (- 2.0 (+ x y)) y))

series344.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(- (/ x (- 2.0 (+ x y))) (/ 1 (/ (- 2.0 (+ x y)) y)))
42.0ms
(/ (- 2.0 (+ x y)) y)
76.0ms
(/ x (- 2.0 (+ x y)))
104.0ms
(/ 1 (/ (- 2.0 (+ x y)) y))

simplify2.2s

Counts
1971 → 1971
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01456156977
13419124886
done5000115604

prune2.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11117
done1117

end0.0ms

sample749.0ms

Algorithm
intervals
Results
383.0ms7999×body80valid
0.0ms1×body1280valid