Details

Time bar (total: 1.4s)

analyze35.0ms (2.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample18.0ms (1.3%)

Algorithm
1×intervals
Results
11.0ms256×body80valid

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
155

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite6.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls

1 calls:

5.0ms
(/ x (+ x y))

series5.0ms (0.4%)

Counts
1 → 3
Calls

1 calls:

5.0ms
(/ x (+ x y))

simplify41.0ms (3%)

Algorithm
1×egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04937287
14937287

prune47.0ms (3.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0b

Counts
37 → 4

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.3b
(/ 1 (/ (+ x y) x))

rewrite17.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls

2 calls:

7.0ms
(/ 1 (/ (+ x y) x))
5.0ms
(/ (+ x y) x)

series9.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

5.0ms
(/ 1 (/ (+ x y) x))
4.0ms
(/ (+ x y) x)

simplify51.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050201282

prune132.0ms (9.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done011
Total1274131

Merged error: 0b

Counts
131 → 4

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
7.7b
(sqrt (/ x (+ x y)))
7.7b
(sqrt (/ x (+ x y)))

rewrite44.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Rules
134×sqrt-prod
131×*-un-lft-identity
104×times-frac
103×add-sqr-sqrt
69×add-cube-cbrt
29×swap-sqr
28×distribute-lft-out
21×pow1 associate-*r* associate-*l*
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv
6×sqrt-div
5×pow-prod-up
4×rem-sqrt-square associate-/r* add-log-exp
3×pow-prod-down pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 201
Calls

4 calls:

20.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
5.0ms
(sqrt (/ x (+ x y)))
5.0ms
(/ x (+ x y))
5.0ms
(sqrt (/ x (+ x y)))

series30.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

9.0ms
(sqrt (/ x (+ x y)))
9.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
8.0ms
(sqrt (/ x (+ x y)))
5.0ms
(/ x (+ x y))

simplify56.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049601994
149601994

prune209.0ms (15.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2130213
Fresh011
Picked011
Done022
Total2134217

Merged error: 0b

Counts
217 → 4

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.2b
(pow (/ x (+ x y)) 3)
13.5b
(cbrt (pow (/ x (+ x y)) 3))

rewrite26.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
78×*-un-lft-identity
60×times-frac
46×add-sqr-sqrt add-cube-cbrt
42×cbrt-prod
36×unpow-prod-down cube-prod
16×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv
4×pow1 associate-/r*
3×pow-unpow associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 141
Calls

3 calls:

9.0ms
(pow (/ x (+ x y)) 3)
7.0ms
(cbrt (pow (/ x (+ x y)) 3))
5.0ms
(/ x (+ x y))

series20.0ms (1.5%)

Counts
3 → 9
Calls

3 calls:

10.0ms
(pow (/ x (+ x y)) 3)
5.0ms
(cbrt (pow (/ x (+ x y)) 3))
5.0ms
(/ x (+ x y))

simplify31.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
051571439

prune185.0ms (13.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1500150
Fresh000
Picked011
Done033
Total1504154

Merged error: 0b

Counts
154 → 4

regimes103.0ms (7.6%)

Accuracy

Total 0.0b remaining (60.6%)

Threshold costs 0.0b (60.6%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
155

end0.0ms (0%)

sample264.0ms (19.4%)

Algorithm
1×intervals
Results
146.0ms8000×body80valid

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