Details

Time bar (total: 1.4s)

analyze52.0ms

Algorithm
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
37.5%62.4%0.1%5
59.3%40.6%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

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
097
197

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
7.0ms
(/ (- x y) (+ x y))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(/ (- x y) (+ x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05405539

prune50.0ms

Filtered
33 candidates to 49 candidates (-48.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New45449
Fresh000
Picked101
Done000
Total46450

Merged error: 0.0b

Counts
50 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 93
Calls
3 calls:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
25.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series23.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
12.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify71.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
050031018

prune85.0ms

Filtered
74 candidates to 102 candidates (-37.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1002102
Fresh213
Picked101
Done000
Total1033106

Merged error: 0b

Counts
106 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) y)
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
0.2b
(/ 1 (/ (+ x y) y))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
127×*-un-lft-identity
104×add-sqr-sqrt
71×add-cube-cbrt
23×associate-/r*
21×distribute-lft-out
19×add-exp-log
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
4×distribute-lft-out--
3×frac-2neg clear-num associate-/r/
2×rec-exp flip3-+ 1-exp flip-+ associate-/l/
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 180
Calls
4 calls:
5.0ms
(/ (+ x y) y)
5.0ms
(/ x (+ x y))
48.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
8.0ms
(/ 1 (/ (+ x y) y))

series27.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (+ x y) y)
5.0ms
(/ x (+ x y))
12.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
5.0ms
(/ 1 (/ (+ x y) y))

simplify78.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049242057
149242057

prune132.0ms

Filtered
118 candidates to 192 candidates (-62.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1920192
Fresh022
Picked011
Done000
Total1923195

Merged error: 0b

Counts
195 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
2.5b
(log (exp (/ y (+ x y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
20×log-pow
18×exp-prod
11×distribute-lft-out
8×add-exp-log associate-/r* add-cbrt-cube
6×pow1 log-prod associate-/r/ associate-/l*
5×add-log-exp
3×flip3-+ flip-+ div-inv associate--r+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 114
Calls
4 calls:
5.0ms
(/ x (+ x y))
7.0ms
(/ y (+ x y))
27.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
7.0ms
(log (exp (/ y (+ x y))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ x (+ x y))
9.0ms
(/ y (+ x y))
20.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
6.0ms
(log (exp (/ y (+ x y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049611096
149611096

prune100.0ms

Filtered
97 candidates to 126 candidates (-29.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done011
Total1263129

Merged error: 0b

Counts
129 → 3

regimes115.0ms

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
01013
11013

end0.0ms

analyze61.0ms

Algorithm
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
37.5%62.4%0.1%5
59.3%40.6%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

sample274.0ms

Algorithm
intervals
Results
164.0ms8000×body80valid

Profiling

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