Details

Time bar (total: 1.9s)

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

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify131.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (130.0ms)

IterNodesCost
021909
121909

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

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)))

simplify59.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04966901
14966901

prune62.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New59261
Fresh000
Picked101
Done000
Total60262

Merged error: 0.0b

Counts
62 → 2

localize6.0ms

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)))

rewrite54.0ms

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:
7.0ms
(/ y (- 2.0 (+ x y)))
35.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
7.0ms
(/ x (- 2.0 (+ x y)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ y (- 2.0 (+ x y)))
12.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
9.0ms
(/ x (- 2.0 (+ x y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
059121672

prune129.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh011
Picked011
Done000
Total1233126

Merged error: 0b

Counts
126 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- 2.0 (+ x y))) (/ 1 (+ (/ (- 2.0 x) y) -1)))
0.0b
(/ (- 2.0 x) y)
0.0b
(/ x (- 2.0 (+ x y)))
0.5b
(/ 1 (+ (/ (- 2.0 x) y) -1))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity
81×add-sqr-sqrt
74×times-frac
36×add-cube-cbrt
24×distribute-lft-out--
15×associate-/r*
14×difference-of-squares
13×distribute-lft-out
12×add-exp-log
11×associate-/l*
10×add-cbrt-cube
8×difference-of-sqr--1
6×add-log-exp
5×pow1
4×div-exp associate-/r/ div-inv
3×cbrt-undiv flip3-- frac-2neg clear-num flip--
2×associate-/l/
1×sub-neg rec-exp pow-flip flip3-+ diff-log 1-exp div-sub frac-sub flip-+ inv-pow
Counts
4 → 150
Calls
4 calls:
41.0ms
(- (/ x (- 2.0 (+ x y))) (/ 1 (+ (/ (- 2.0 x) y) -1)))
5.0ms
(/ (- 2.0 x) y)
7.0ms
(/ x (- 2.0 (+ x y)))
12.0ms
(/ 1 (+ (/ (- 2.0 x) y) -1))

series31.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (/ x (- 2.0 (+ x y))) (/ 1 (+ (/ (- 2.0 x) y) -1)))
4.0ms
(/ (- 2.0 x) y)
6.0ms
(/ x (- 2.0 (+ x y)))
8.0ms
(/ 1 (+ (/ (- 2.0 x) y) -1))

simplify50.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049692184
149692184

prune179.0ms

Filtered
108 candidates to 162 candidates (-50.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done011
Total1623165

Merged error: 0b

Counts
165 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2.0 (+ x y)))
0.2b
(* (/ 1 (sqrt (- 2.0 (+ x y)))) (/ (- x y) (sqrt (- 2.0 (+ x y)))))
0.3b
(/ (- x y) (sqrt (- 2.0 (+ x y))))
0.3b
(/ 1 (sqrt (- 2.0 (+ x y))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
220×*-un-lft-identity
204×add-sqr-sqrt
166×times-frac
125×sqrt-prod
81×add-cube-cbrt
57×distribute-lft-out--
51×associate-*r*
38×difference-of-squares
33×associate-*l*
32×add-exp-log
20×add-cbrt-cube
19×distribute-lft-out
18×associate-/r*
15×unswap-sqr
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/ associate-/l*
6×cbrt-undiv flip3-- flip--
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×frac-times rem-sqrt-square div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 276
Calls
4 calls:
5.0ms
(sqrt (- 2.0 (+ x y)))
47.0ms
(* (/ 1 (sqrt (- 2.0 (+ x y)))) (/ (- x y) (sqrt (- 2.0 (+ x y)))))
11.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))
8.0ms
(/ 1 (sqrt (- 2.0 (+ x y))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (- 2.0 (+ x y)))
7.0ms
(* (/ 1 (sqrt (- 2.0 (+ x y)))) (/ (- x y) (sqrt (- 2.0 (+ x y)))))
16.0ms
(/ (- x y) (sqrt (- 2.0 (+ x y))))
12.0ms
(/ 1 (sqrt (- 2.0 (+ x y))))

simplify75.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
053964650

prune338.0ms

Filtered
153 candidates to 288 candidates (-88.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2880288
Fresh000
Picked011
Done022
Total2883291

Merged error: 0b

Counts
291 → 3

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04415
14415

end0.0ms

sample324.0ms

Algorithm
intervals
Results
200.0ms7999×body80valid
0.0ms1×body1280valid

Profiling

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