Details

Time bar (total: 1.3s)

analyze71.0ms

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
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms2×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0667
1667

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
4.0ms
(+ (* x x) (* x y))
10.0ms
(* 2.0 (+ (* x x) (* x y)))

series11.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05111335

prune53.0ms

Filtered
30 candidates to 41 candidates (-36.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done000
Total39342

Merged error: 0.0b

Counts
42 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
6.0ms
(* (* 2.0 x) (+ x y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* (* 2.0 x) (+ x y))

simplify41.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05027209

prune26.0ms

Filtered
15 candidates to 26 candidates (-73.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh011
Picked011
Done011
Total26329

Merged error: 0.0b

Counts
29 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(* x (* (sqrt 2.0) (+ x y)))
0.4b
(* (sqrt 2.0) (* x (* (sqrt 2.0) (+ x y))))
0.4b
(* (sqrt 2.0) (+ x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
17×distribute-rgt-in distribute-lft-in
15×associate-*l*
13×add-sqr-sqrt
12×associate-*r/
11×*-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt
7×sqrt-prod
6×associate-*r*
3×flip3-+ *-commutative flip-+ add-log-exp
2×unswap-sqr
1×distribute-lft-out
Counts
3 → 85
Calls
3 calls:
8.0ms
(* x (* (sqrt 2.0) (+ x y)))
13.0ms
(* (sqrt 2.0) (* x (* (sqrt 2.0) (+ x y))))
7.0ms
(* (sqrt 2.0) (+ x y))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* x (* (sqrt 2.0) (+ x y)))
11.0ms
(* (sqrt 2.0) (* x (* (sqrt 2.0) (+ x y))))
6.0ms
(* (sqrt 2.0) (+ x y))

simplify36.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05326809

prune109.0ms

Filtered
54 candidates to 94 candidates (-74.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New93194
Fresh000
Picked011
Done112
Total94397

Merged error: 0b

Counts
97 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ x y) (sqrt (sqrt 2.0)))
0.3b
(* x (* (sqrt (sqrt 2.0)) (* (+ x y) (sqrt (sqrt 2.0)))))
0.3b
(* (sqrt (sqrt 2.0)) (* (+ x y) (sqrt (sqrt 2.0))))
0.4b
(* (sqrt 2.0) (* x (* (sqrt (sqrt 2.0)) (* (+ x y) (sqrt (sqrt 2.0))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log add-cbrt-cube
24×sqrt-prod
22×associate-*l*
20×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
16×*-un-lft-identity
14×add-cube-cbrt
12×associate-*r/ associate-*r*
8×associate-*l/
4×flip3-+ *-commutative flip-+ add-log-exp
3×unswap-sqr
1×distribute-lft-out
Counts
4 → 107
Calls
4 calls:
8.0ms
(* (+ x y) (sqrt (sqrt 2.0)))
15.0ms
(* x (* (sqrt (sqrt 2.0)) (* (+ x y) (sqrt (sqrt 2.0)))))
11.0ms
(* (sqrt (sqrt 2.0)) (* (+ x y) (sqrt (sqrt 2.0))))
16.0ms
(* (sqrt 2.0) (* x (* (sqrt (sqrt 2.0)) (* (+ x y) (sqrt (sqrt 2.0))))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ x y) (sqrt (sqrt 2.0)))
8.0ms
(* x (* (sqrt (sqrt 2.0)) (* (+ x y) (sqrt (sqrt 2.0)))))
7.0ms
(* (sqrt (sqrt 2.0)) (* (+ x y) (sqrt (sqrt 2.0))))
11.0ms
(* (sqrt 2.0) (* x (* (sqrt (sqrt 2.0)) (* (+ x y) (sqrt (sqrt 2.0))))))

simplify44.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049771023
149771023

prune174.0ms

Filtered
72 candidates to 119 candidates (-65.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done022
Total1193122

Merged error: 0b

Counts
122 → 3

regimes78.0ms

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
0277
1277

end0.0ms

sample378.0ms

Algorithm
intervals
Results
236.0ms8000×body80valid
5.0ms175×body80invalid

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