Details

Time bar (total: 2.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
8.0ms
(/ (+ x y) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (- x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0169288
1510274
21421270
35001270

prune70.0ms

Filtered
48 candidates to 32 candidates (66.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh000
Picked101
Done000
Total45449

Merged error: 0.0b

Counts
49 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
add-cbrt-cube
div-exp associate-/l*
div-inv
flip3-+ flip-+
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
14.0ms
(/ 1 (/ (- x y) (+ x y)))
7.0ms
(/ (- x y) (+ x y))

series127.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 1 (/ (- x y) (+ x y)))
61.0ms
(/ (- x y) (+ x y))

simplify56.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04861462
121981311
250011167

prune150.0ms

Filtered
180 candidates to 78 candidates (43.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1791180
Fresh213
Picked011
Done000
Total1813184

Merged error: 0b

Counts
184 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
155×times-frac
114×add-sqr-sqrt
54×add-cube-cbrt
35×distribute-lft-out--
28×associate-/r/ distribute-lft-out
25×associate-/r*
20×difference-of-squares
15×distribute-rgt-out--
13×div-inv
12×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
associate-/l*
add-log-exp
pow1
div-exp
cbrt-undiv frac-2neg clear-num
flip3-- frac-sub flip-- sub-div
sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 185
Calls
4 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
27.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
21.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series240.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ y (+ x y))
39.0ms
(/ x (+ x y))
80.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
76.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04311481
116281395
250011294

prune218.0ms

Filtered
197 candidates to 113 candidates (57.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh011
Picked011
Done011
Total1973200

Merged error: 0b

Counts
200 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
624×times-frac
582×*-un-lft-identity
422×add-sqr-sqrt
410×sqrt-prod
256×add-cube-cbrt
82×distribute-lft-out-- difference-of-squares
81×distribute-lft-out
42×associate-/l*
26×sqrt-div
22×associate-/r/
16×associate-/r*
13×flip3-- flip--
11×add-exp-log add-cbrt-cube div-inv
pow1
cbrt-undiv div-exp add-log-exp
associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
flip3-+ flip-+
Counts
4 → 461
Calls
4 calls:
3.0ms
(sqrt (- x y))
3.0ms
(sqrt (- x y))
25.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
9.0ms
(/ (+ x y) (sqrt (- x y)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(sqrt (- x y))
70.0ms
(sqrt (- x y))
65.0ms
(/ (/ (+ x y) (sqrt (- x y))) (sqrt (- x y)))
205.0ms
(/ (+ x y) (sqrt (- x y)))

simplify109.0ms

Algorithm
egg-herbie
Counts
473 → 473
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
08856498
132585811
250015771

prune459.0ms

Filtered
473 candidates to 176 candidates (37.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4730473
Fresh000
Picked011
Done022
Total4733476

Merged error: 0b

Counts
476 → 3

regimes28.0ms

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 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample281.0ms

Algorithm
intervals
Results
159.0ms8000×body80valid

Profiling

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