Details

Time bar (total: 2.0s)

analyze37.0ms (1.8%)

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

sample13.0ms (0.6%)

Algorithm
1×intervals
Results
6.0ms256×body80valid

simplify155.0ms (7.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (154.0ms)

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

localize5.0ms (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)))

series8.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

8.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify57.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04966901
14966901

prune91.0ms (4.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh000
Picked011
Done000
Total57562

Merged error: 0b

Counts
62 → 5

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite40.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
292×*-un-lft-identity
258×times-frac
214×add-sqr-sqrt
100×add-cube-cbrt
83×distribute-lft-out--
57×difference-of-squares
41×associate-/r*
26×distribute-lft-out
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 226
Calls

2 calls:

14.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))
9.0ms
(/ (- 2.0 (+ x y)) (- x y))

series21.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

13.0ms
(/ (- 2.0 (+ x y)) (- x y))
9.0ms
(/ 1 (/ (- 2.0 (+ x y)) (- x y)))

simplify62.0ms (3%)

Algorithm
1×egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
055373866

prune327.0ms (16%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2311232
Fresh123
Picked011
Done011
Total2325237

Merged error: 0b

Counts
237 → 5

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 2.0 (+ x y)))
0.0b
(* (/ (- x y) (- 2.0 (+ x y))) (+ x y))
3.6b
(/ (* (/ (- x y) (- 2.0 (+ x y))) (+ x y)) (+ x y))

rewrite54.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
118×*-un-lft-identity
84×add-sqr-sqrt
65×times-frac
36×associate-*l*
35×distribute-lft-out--
31×add-cube-cbrt
24×difference-of-squares
19×add-exp-log add-cbrt-cube
14×distribute-lft-out
10×associate-/r*
7×associate-/l/
6×cbrt-undiv div-exp associate-/r/ associate-/l*
5×pow1 flip3-+ flip-+
4×frac-times associate-*r/ associate-*r* prod-exp cbrt-unprod
3×flip3-- flip-- div-inv add-log-exp
2×frac-2neg associate-*l/ clear-num unswap-sqr
1×distribute-rgt-in distribute-lft-in div-sub pow-prod-down *-commutative
Counts
3 → 152
Calls

3 calls:

18.0ms
(* (/ (- x y) (- 2.0 (+ x y))) (+ x y))
18.0ms
(/ (* (/ (- x y) (- 2.0 (+ x y))) (+ x y)) (+ x y))
9.0ms
(/ (- x y) (- 2.0 (+ x y)))

series26.0ms (1.3%)

Counts
3 → 9
Calls

3 calls:

11.0ms
(* (/ (- x y) (- 2.0 (+ x y))) (+ x y))
8.0ms
(/ (* (/ (- x y) (- 2.0 (+ x y))) (+ x y)) (+ x y))
8.0ms
(/ (- x y) (- 2.0 (+ x y)))

simplify67.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049632244
149632244

prune203.0ms (10%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh022
Picked011
Done022
Total1615166

Merged error: 0b

Counts
166 → 5

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite23.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls

4 calls:

10.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series111.0ms (5.4%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
29.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))

simplify61.0ms (3%)

Algorithm
1×egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049671021
149671021

prune195.0ms (9.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done033
Total1135118

Merged error: 0b

Counts
118 → 5

regimes121.0ms (5.9%)

Accuracy

Total 0.0b remaining (48%)

Threshold costs 0.0b (48%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1369

end0.0ms (0%)

sample321.0ms (15.7%)

Algorithm
1×intervals
Results
202.0ms8000×body80valid

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