Details

Time bar (total: 3.1s)

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

localize7.0ms

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))

series61.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (- x y) (+ x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0187290
1526276
21771276
35002273

prune68.0ms

Filtered
49 candidates to 33 candidates (67.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450

Merged error: 0.0b

Counts
50 → 4

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)))

rewrite33.0ms

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))
20.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(/ y (+ x y))
45.0ms
(/ x (+ x y))
73.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260536
1791515
22132515
35001515

prune133.0ms

Filtered
103 candidates to 73 candidates (70.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh202
Picked101
Done011
Total1043107

Merged error: 0b

Counts
107 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y)))))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
0.1b
(pow (/ y (+ x y)) 3)
0.1b
(pow (/ x (+ x y)) 3)

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
650×*-un-lft-identity
643×times-frac
540×add-sqr-sqrt
292×unpow-prod-down cube-prod
192×add-cube-cbrt
144×difference-of-squares
116×distribute-lft-out--
103×associate-/r/
94×distribute-lft-out
81×associate-/l*
50×sqr-pow
48×distribute-rgt-out--
47×flip3-+ flip-+
41×div-inv
27×frac-add
24×add-exp-log swap-sqr add-cbrt-cube
18×associate-*r* associate-*l*
17×frac-times associate-*r/
13×pow1
11×associate-*l/
7×cbrt-undiv div-exp
6×cube-div pow-unpow
4×difference-cubes pow-exp prod-exp cbrt-unprod associate-/l/ add-log-exp rem-cube-cbrt unswap-sqr
3×associate-/r*
2×cube-mult pow-to-exp pow-pow unpow3
1×pow2 flip3-- frac-2neg pow-plus div-sub pow-prod-down clear-num pow-sqr *-commutative pow-prod-up frac-sub flip-- sub-div
Counts
4 → 567
Calls
4 calls:
117.0ms
(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y)))))
16.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
7.0ms
(pow (/ y (+ x y)) 3)
7.0ms
(pow (/ x (+ x y)) 3)

series395.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y)))))
63.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
78.0ms
(pow (/ y (+ x y)) 3)
80.0ms
(pow (/ x (+ x y)) 3)

simplify172.0ms

Algorithm
egg-herbie
Counts
579 → 579
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
0180915716
1500215411

prune821.0ms

Filtered
579 candidates to 239 candidates (41.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New5790579
Fresh011
Picked011
Done011
Total5793582

Merged error: 0b

Counts
582 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.1b
(pow (/ x (+ x y)) 3)
10.9b
(cbrt (pow (/ x (+ x y)) 3))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
81×*-un-lft-identity
71×times-frac
54×cbrt-prod
47×add-cube-cbrt
40×unpow-prod-down cube-prod
16×distribute-lft-out
14×difference-of-squares
10×associate-/r/
9×add-exp-log add-cbrt-cube
6×add-log-exp
5×pow1 flip3-+ flip-+ div-inv
4×associate-/r* sqr-pow
3×cube-div pow-unpow associate-/l*
2×cbrt-undiv cube-mult cbrt-div unpow3 div-exp pow-exp rem-cube-cbrt
1×pow-to-exp sub-neg flip3-- pow-pow frac-2neg pow1/3 diff-log clear-num frac-sub flip-- rem-cbrt-cube distribute-lft-out--
Counts
4 → 169
Calls
4 calls:
5.0ms
(/ x (+ x y))
41.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
11.0ms
(pow (/ x (+ x y)) 3)
7.0ms
(cbrt (pow (/ x (+ x y)) 3))

series240.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x (+ x y))
76.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
80.0ms
(pow (/ x (+ x y)) 3)
44.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05011198
120541083
250011073

prune205.0ms

Filtered
181 candidates to 91 candidates (50.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1810181
Fresh000
Picked011
Done022
Total1813184

Merged error: 0b

Counts
184 → 3

regimes42.0ms

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
01822
11822

end0.0ms

sample288.0ms

Algorithm
intervals
Results
168.0ms8000×body80valid

Profiling

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