Details

Time bar (total: 2.1s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1143
2163
3163

prune1.0ms

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
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))

series65.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0187290
1526276
21757276
35002273

prune72.0ms

Filtered
49 candidates to 33 candidates (67.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New44549
Fresh000
Picked101
Done000
Total45550

Merged error: 0b

Counts
50 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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 → 94
Calls
3 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
24.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series154.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ y (+ x y))
38.0ms
(/ x (+ x y))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0260536
1791515
22118515
35001514

prune135.0ms

Filtered
103 candidates to 74 candidates (71.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1030103
Fresh044
Picked011
Done000
Total1035108

Merged error: 0b

Counts
108 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-+ flip-+ div-inv associate-/l*
4×pow1 associate-/r*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube
Counts
3 → 186
Calls
3 calls:
9.0ms
(pow (/ (- x y) (+ x y)) 3)
7.0ms
(/ (- x y) (+ x y))
10.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))

series220.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(pow (/ (- x y) (+ x y)) 3)
60.0ms
(/ (- x y) (+ x y))
87.0ms
(cbrt (pow (/ (- x y) (+ x y)) 3))

simplify68.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05021403
121811310
250011292

prune187.0ms

Filtered
195 candidates to 86 candidates (44.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1950195
Fresh033
Picked011
Done011
Total1955200

Merged error: 0b

Counts
200 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.0b
(sqrt (- x y))
0.1b
(* (sqrt (- x y)) (/ (sqrt (- x y)) (+ x y)))
0.2b
(/ (sqrt (- x y)) (+ x y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
86×add-sqr-sqrt
68×times-frac
65×sqrt-prod
44×add-cube-cbrt
38×associate-*r*
17×distribute-lft-out
12×distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1 associate-*l* associate-/l*
6×unswap-sqr
5×flip3-- flip--
4×associate-/r* associate-/r/ add-log-exp
2×cbrt-undiv frac-times rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv associate-/l/
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 164
Calls
4 calls:
3.0ms
(sqrt (- x y))
3.0ms
(sqrt (- x y))
19.0ms
(* (sqrt (- x y)) (/ (sqrt (- x y)) (+ x y)))
8.0ms
(/ (sqrt (- x y)) (+ x y))

series301.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(sqrt (- x y))
68.0ms
(sqrt (- x y))
65.0ms
(* (sqrt (- x y)) (/ (sqrt (- x y)) (+ x y)))
101.0ms
(/ (sqrt (- x y)) (+ x y))

simplify55.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04291340
116651208
250021152

prune246.0ms

Filtered
176 candidates to 108 candidates (61.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1760176
Fresh022
Picked011
Done022
Total1765181

Merged error: 0b

Counts
181 → 5

regimes54.0ms

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
075
175

end0.0ms

sample295.0ms

Algorithm
intervals
Results
167.0ms8000×body80valid

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