Details

Time bar (total: 2.0s)

analyze33.0ms (1.6%)

Algorithm
1×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 (0.6%)

Algorithm
1×intervals
Results
6.0ms256×body80valid

simplify128.0ms (6.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (126.0ms)

IterNodesCost
021909
121909

prune5.0ms (0.2%)

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 (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.6%)

Algorithm
1×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)))

series11.0ms (0.5%)

Counts
1 → 3
Calls

1 calls:

11.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify57.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04966901
14966901

prune94.0ms (4.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New55661
Fresh000
Picked101
Done000
Total56662

Merged error: 0.0b

Counts
62 → 6

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite53.0ms (2.6%)

Algorithm
1×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:

34.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
7.0ms
(/ y (- 2.0 (+ x y)))
7.0ms
(/ x (- 2.0 (+ x y)))

series26.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

14.0ms
(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))
6.0ms
(/ y (- 2.0 (+ x y)))
6.0ms
(/ x (- 2.0 (+ x y)))

simplify54.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
059121672

prune180.0ms (9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1213124
Fresh235
Picked101
Done000
Total1246130

Merged error: 0b

Counts
130 → 6

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite29.0ms (1.4%)

Algorithm
1×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:

18.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))
7.0ms
(/ 1 (- 2.0 (+ x y)))

series12.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(* (- x y) (/ 1 (- 2.0 (+ x y))))
5.0ms
(/ 1 (- 2.0 (+ x y)))

simplify47.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049601089
149601089

prune147.0ms (7.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh145
Picked011
Done000
Total1046110

Merged error: 0b

Counts
110 → 6

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(/ y (- 2.0 (+ x y)))
0.0b
(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
0.1b
(pow (/ x (- 2.0 (+ x y))) 3)
20.9b
(cbrt (pow (/ x (- 2.0 (+ x y))) 3))

rewrite104.0ms (5.2%)

Algorithm
1×rewrite-expression-head
Rules
139×*-un-lft-identity
126×add-sqr-sqrt
101×times-frac
66×cbrt-prod
57×add-cube-cbrt
52×unpow-prod-down cube-prod
33×distribute-lft-out--
30×difference-of-squares
16×distribute-lft-out
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×flip3-- associate-/r* flip-- add-log-exp
5×pow1 div-inv
4×sqr-pow
3×cube-div pow-unpow associate-/l*
2×cbrt-undiv cube-mult cbrt-div unpow3 div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg pow-pow frac-2neg pow1/3 diff-log clear-num frac-sub rem-cbrt-cube
Counts
4 → 200
Calls

4 calls:

67.0ms
(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
11.0ms
(cbrt (pow (/ x (- 2.0 (+ x y))) 3))
9.0ms
(pow (/ x (- 2.0 (+ x y))) 3)
7.0ms
(/ y (- 2.0 (+ x y)))

series44.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(- (cbrt (pow (/ x (- 2.0 (+ x y))) 3)) (/ y (- 2.0 (+ x y))))
13.0ms
(pow (/ x (- 2.0 (+ x y))) 3)
10.0ms
(cbrt (pow (/ x (- 2.0 (+ x y))) 3))
6.0ms
(/ y (- 2.0 (+ x y)))

simplify63.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051703216

prune404.0ms (20.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2120212
Fresh044
Picked011
Done011
Total2126218

Merged error: 0b

Counts
218 → 6

regimes133.0ms (6.6%)

Accuracy

Total 0.1b remaining (93.7%)

Threshold costs 0.1b (93.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03911
13911

end0.0ms (0%)

sample321.0ms (16%)

Algorithm
1×intervals
Results
200.0ms7996×body80valid
0.0ms3×body640valid
0.0ms1×body1280valid

Profiling

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