Details

Time bar (total: 1.4s)

analyze98.0ms

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
0%99.9%0.1%4
25%74.9%0.1%5
25%62.4%12.6%6
25%46.8%28.2%7
31.2%35.9%32.9%8
39%25%36%9
42.9%18.7%38.3%10
47.2%12.9%39.9%11
49.4%9.6%41.1%12
51.6%6.5%41.9%13
52.7%4.8%42.4%14

sample20.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
0.0ms2×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06911
16911

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y (+ (* x 2.0) y)))
0.0b
(* y (+ (* x 2.0) y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
4.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))
6.0ms
(* y (+ (* x 2.0) y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x x) (* y (+ (* x 2.0) y)))
6.0ms
(* y (+ (* x 2.0) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05273439

prune64.0ms

Filtered
31 candidates to 41 candidates (-32.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New38341
Fresh000
Picked101
Done000
Total39342

Merged error: 0.0b

Counts
42 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ x (* y 2.0)))
0.0b
(+ (* x (+ x (* y 2.0))) (* y y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
5.0ms
(* x (+ x (* y 2.0)))
7.0ms
(+ (* x (+ x (* y 2.0))) (* y y))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* x (+ x (* y 2.0)))
6.0ms
(+ (* x (+ x (* y 2.0))) (* y y))

simplify39.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04957439
14957439

prune57.0ms

Filtered
27 candidates to 41 candidates (-51.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40141
Fresh022
Picked011
Done000
Total40444

Merged error: 0b

Counts
44 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (- (pow x 3) (* x (* y (* y (* 2.0 2.0))))) (- x (* y 2.0))) (* y y))
0.9b
(- (pow x 3) (* x (* y (* y (* 2.0 2.0)))))
1.7b
(* x (* y (* y (* 2.0 2.0))))
11.5b
(/ (- (pow x 3) (* x (* y (* y (* 2.0 2.0))))) (- x (* y 2.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
18×pow1
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
10×pow-prod-down prod-exp cbrt-unprod
8×add-log-exp
5×cube-mult distribute-lft-out--
4×associate-/l*
3×flip3-- associate-*l* associate-/r* flip--
2×div-sub associate-/r/ associate-/l/
1×cbrt-undiv +-commutative associate-+l- sub-neg frac-2neg flip3-+ diff-log div-exp associate-*r* clear-num sum-log *-commutative flip-+ div-inv
Counts
4 → 84
Calls
4 calls:
18.0ms
(+ (/ (- (pow x 3) (* x (* y (* y (* 2.0 2.0))))) (- x (* y 2.0))) (* y y))
10.0ms
(- (pow x 3) (* x (* y (* y (* 2.0 2.0)))))
9.0ms
(* x (* y (* y (* 2.0 2.0))))
13.0ms
(/ (- (pow x 3) (* x (* y (* y (* 2.0 2.0))))) (- x (* y 2.0)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (/ (- (pow x 3) (* x (* y (* y (* 2.0 2.0))))) (- x (* y 2.0))) (* y y))
9.0ms
(- (pow x 3) (* x (* y (* y (* 2.0 2.0)))))
7.0ms
(* x (* y (* y (* 2.0 2.0))))
14.0ms
(/ (- (pow x 3) (* x (* y (* y (* 2.0 2.0))))) (- x (* y 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051091898

prune167.0ms

Filtered
68 candidates to 96 candidates (-41.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done011
Total964100

Merged error: 0b

Counts
100 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (sqrt y) (* (+ y (* x 2.0)) (sqrt y))))
0.1b
(* (sqrt y) (* (+ y (* x 2.0)) (sqrt y)))
0.1b
(* (+ y (* x 2.0)) (sqrt y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log add-cbrt-cube
9×associate-*l*
8×add-cube-cbrt *-un-lft-identity
7×associate-*r* sqrt-prod
5×add-log-exp
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-+ flip-+
2×associate-*r/ *-commutative unswap-sqr
1×+-commutative sum-log
Counts
3 → 58
Calls
3 calls:
4.0ms
(+ (* x x) (* (sqrt y) (* (+ y (* x 2.0)) (sqrt y))))
8.0ms
(* (sqrt y) (* (+ y (* x 2.0)) (sqrt y)))
6.0ms
(* (+ y (* x 2.0)) (sqrt y))

series26.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (* x x) (* (sqrt y) (* (+ y (* x 2.0)) (sqrt y))))
8.0ms
(* (sqrt y) (* (+ y (* x 2.0)) (sqrt y)))
10.0ms
(* (+ y (* x 2.0)) (sqrt y))

simplify49.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04954746
14954746

prune81.0ms

Filtered
49 candidates to 67 candidates (-36.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh101
Picked101
Done022
Total68371

Merged error: 0b

Counts
71 → 3

regimes73.0ms

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 (1.0ms)

IterNodesCost
03411
13411

end0.0ms

sample426.0ms

Algorithm
intervals
Results
285.0ms8000×body80valid
7.0ms195×body80invalid

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