Details

Time bar (total: 2.0s)

analyze35.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
56.2%43.7%0.1%5
65.6%34.3%0.1%6
79.6%20.3%0.1%7
83.5%16.4%0.1%8
90.1%9.8%0.1%9
91.9%8%0.1%10
95.1%4.8%0.1%11
96%4%0.1%12
97.5%2.4%0.1%13
97.9%2%0.1%14

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify222.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (220.0ms)

IterNodesCost
021909
121909

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
9.0ms
(/ (- x y) (- 2.0 (+ x y)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04973901
14973901

prune84.0ms

Filtered
38 candidates to 61 candidates (-60.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New56561
Fresh000
Picked101
Done000
Total57562

Merged error: 0.0b

Counts
62 → 5

localize6.0ms

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))))

rewrite55.0ms

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 → 115
Calls
3 calls:
9.0ms
(/ y (- 2.0 (+ x y)))
7.0ms
(/ x (- 2.0 (+ x y)))
35.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series24.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (- 2.0 (+ x y)))
6.0ms
(/ x (- 2.0 (+ x y)))
12.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify47.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
054481668

prune160.0ms

Filtered
85 candidates to 124 candidates (-45.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh044
Picked011
Done000
Total1236129

Merged error: 0b

Counts
129 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
47×add-sqr-sqrt
38×times-frac
24×add-cube-cbrt associate-*r*
15×add-exp-log distribute-lft-out--
9×add-cbrt-cube
8×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×pow1 associate-*l*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 98
Calls
2 calls:
7.0ms
(/ 1 (- 2.0 (+ x y)))
15.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 2.0 (+ x y)))
10.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))

simplify39.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
050191089

prune115.0ms

Filtered
59 candidates to 104 candidates (-76.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh044
Picked011
Done011
Total1046110

Merged error: 0b

Counts
110 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
88×times-frac
68×add-sqr-sqrt
50×distribute-lft-out--
36×distribute-lft-out
34×frac-times
32×add-exp-log
29×add-cube-cbrt
26×associate-*l*
25×associate-*r/
24×associate-*r*
20×add-cbrt-cube
13×flip3-- prod-exp flip--
12×pow1 flip3-+ associate-/r/ flip-+ difference-of-squares
9×frac-sub sub-div
7×sub-neg cbrt-unprod
6×distribute-rgt-out-- div-exp associate-*l/ div-inv add-log-exp
5×distribute-rgt-in distribute-lft-in associate-/r*
4×pow-prod-down
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 204
Calls
4 calls:
7.0ms
(/ 1 (+ x (+ 2.0 y)))
37.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
50.0ms
(* (/ 1 (+ x (+ 2.0 y))) (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
53.0ms
(* (+ 2.0 (+ x y)) (* (/ 1 (+ x (+ 2.0 y))) (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (+ x (+ 2.0 y)))
11.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
25.0ms
(* (/ 1 (+ x (+ 2.0 y))) (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y)))))
14.0ms
(* (+ 2.0 (+ x y)) (* (/ 1 (+ x (+ 2.0 y))) (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))))

simplify83.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049694429
149694429

prune318.0ms

Filtered
141 candidates to 216 candidates (-53.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2160216
Fresh033
Picked011
Done022
Total2166222

Merged error: 0b

Counts
222 → 6

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07915
17915

end0.0ms

sample352.0ms

Algorithm
intervals
Results
216.0ms7995×body80valid
0.0ms3×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

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