Details

Time bar (total: 1.5s)

sample121.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 32.507324%

Guaranteed chance to sample good point: 97.608067%

Results
4.0ms256×body80valid
1.0ms44×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1253
2533
3803
4983
51073
61133
71133

prune2.0ms

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

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
pow1
add-sqr-sqrt
flip3-+ swap-sqr flip-+ distribute-lft-out
add-cube-cbrt
frac-times associate-*r* associate-*l*
add-exp-log add-cbrt-cube
associate-*r/ associate-*l/
pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 40
Calls
1 calls:
8.0ms
(* (+ x y) (+ x y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* (+ x y) (+ x y))

simplify37.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0189213
1901188
25001170

prune40.0ms

Filtered
19 candidates to 43 candidates (-126.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (+ x y))
0.0b
(+ (* x (+ x y)) (* y (+ x y)))
0.0b
(* x (+ x y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r/
11×add-sqr-sqrt *-un-lft-identity
associate-*r*
pow1 add-exp-log add-cube-cbrt flip3-+ add-cbrt-cube flip-+
associate-*l*
add-log-exp
distribute-rgt-in distribute-lft-in frac-add
associate-+l+ associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
+-commutative distribute-rgt-out sum-log
Counts
3 → 66
Calls
3 calls:
6.0ms
(* y (+ x y))
6.0ms
(+ (* x (+ x y)) (* y (+ x y)))
6.0ms
(* x (+ x y))

series17.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* y (+ x y))
8.0ms
(+ (* x (+ x y)) (* y (+ x y)))
4.0ms
(* x (+ x y))

simplify58.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0349386
11961333
25001331

prune66.0ms

Filtered
49 candidates to 75 candidates (-53.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh112
Picked011
Done101
Total76379

Merged error: 0b

Counts
79 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (+ (+ x y) y)) (* y y))
0.0b
(* x (+ (+ x y) y))
0.0b
(+ (+ x y) y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-log-exp
add-sqr-sqrt
distribute-lft-out
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
sum-log
associate-+l+ flip3-+ associate-*l* flip-+
+-commutative distribute-rgt-in distribute-lft-in associate-*r/
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 52
Calls
3 calls:
9.0ms
(+ (* x (+ (+ x y) y)) (* y y))
8.0ms
(* x (+ (+ x y) y))
6.0ms
(+ (+ x y) y)

series16.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x (+ (+ x y) y)) (* y y))
5.0ms
(* x (+ (+ x y) y))
4.0ms
(+ (+ x y) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0252304
11166264
25001243

prune48.0ms

Filtered
39 candidates to 61 candidates (-56.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done011
Total61364

Merged error: 0b

Counts
64 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))
0.4b
(pow (sqrt (+ x y)) 3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
30×sqrt-prod
24×*-un-lft-identity
20×associate-*l*
18×unpow-prod-down cube-prod
14×add-cube-cbrt sqrt-div
12×unswap-sqr
add-exp-log cube-div
flip3-+ associate-*r* flip-+
pow1 add-cbrt-cube distribute-lft-out
frac-times sqr-pow
pow-unpow pow-pow prod-exp
cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp add-log-exp
sqrt-pow1 pow-plus pow1/2 *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
2 → 97
Calls
2 calls:
13.0ms
(* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))
5.0ms
(pow (sqrt (+ x y)) 3)

series28.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* (pow (sqrt (+ x y)) 3) (sqrt (+ x y)))
18.0ms
(pow (sqrt (+ x y)) 3)

simplify61.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0370648
11745534
25001478

prune81.0ms

Filtered
52 candidates to 103 candidates (-98.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done022
Total1033106

Merged error: 0b

Counts
106 → 3

regimes99.0ms

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
0115
1115

end0.0ms

sample704.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 32.507324%

Guaranteed chance to sample good point: 97.608067%

Results
337.0ms8000×body80valid
31.0ms1592×body80invalid

Profiling

Loading profile data...