Details

Time bar (total: 1.5s)

analyze52.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
50%50%0.1%5
62.4%37.5%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample14.0ms

Algorithm
intervals
Results
8.0ms255×body80valid
0.0ms1×body1280valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02111
12111

prune5.0ms

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(+ 1.0 (/ (* x y) 2.0))
0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.9b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
20×add-sqr-sqrt
16×times-frac
15×add-cube-cbrt
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×distribute-lft-out
4×pow1 associate-/l*
3×cbrt-undiv div-exp
2×frac-2neg flip3-+ clear-num associate-/r/ flip-+ div-inv difference-of-squares
1×+-commutative sub-neg flip3-- diff-log prod-exp sum-log flip-- cbrt-unprod distribute-lft-out--
Counts
4 → 80
Calls
4 calls:
4.0ms
(/ (* x y) 2.0)
4.0ms
(+ 1.0 (/ (* x y) 2.0))
9.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* x y) 2.0)
5.0ms
(+ 1.0 (/ (* x y) 2.0))
7.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
14.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify37.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
051231098

prune115.0ms

Filtered
71 candidates to 92 candidates (-29.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New88492
Fresh000
Picked011
Done000
Total88593

Merged error: 0b

Counts
93 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* y (/ x 2.0)))
0.0b
(- x (* y (/ 1 (+ 1.0 (* y (/ x 2.0))))))
0.8b
(/ 1 (+ 1.0 (* y (/ x 2.0))))
6.0b
(* y (/ 1 (+ 1.0 (* y (/ x 2.0)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
4×div-exp prod-exp associate-/r/
3×flip3-+ associate-*l* associate-/r* flip-+ associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×+-commutative sub-neg flip3-- pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative flip-- inv-pow
Counts
4 → 93
Calls
4 calls:
2.0ms
(+ 1.0 (* y (/ x 2.0)))
2.0ms
(- x (* y (/ 1 (+ 1.0 (* y (/ x 2.0))))))
4.0ms
(/ 1 (+ 1.0 (* y (/ x 2.0))))
8.0ms
(* y (/ 1 (+ 1.0 (* y (/ x 2.0)))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ 1.0 (* y (/ x 2.0)))
7.0ms
(- x (* y (/ 1 (+ 1.0 (* y (/ x 2.0))))))
9.0ms
(/ 1 (+ 1.0 (* y (/ x 2.0))))
11.0ms
(* y (/ 1 (+ 1.0 (* y (/ x 2.0)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049571325
149571325

prune131.0ms

Filtered
71 candidates to 105 candidates (-47.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh033
Picked011
Done011
Total1055110

Merged error: 0b

Counts
110 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* y (/ x 2.0)))
0.0b
(- x (/ 1 (/ (+ 1.0 (* y (/ x 2.0))) y)))
0.1b
(/ 1 (/ (+ 1.0 (* y (/ x 2.0))) y))
6.9b
(/ (+ 1.0 (* y (/ x 2.0))) y)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
68×add-sqr-sqrt
59×*-un-lft-identity
54×add-cube-cbrt
17×add-exp-log
16×associate-/r*
11×add-cbrt-cube
8×div-exp add-log-exp
7×div-inv
6×associate-/l*
5×pow1 difference-of-squares
4×cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/ distribute-lft-out--
1×+-commutative sub-neg flip3-- pow-flip diff-log sum-log associate-/r/ flip-- inv-pow
Counts
4 → 134
Calls
4 calls:
2.0ms
(+ 1.0 (* y (/ x 2.0)))
13.0ms
(- x (/ 1 (/ (+ 1.0 (* y (/ x 2.0))) y)))
6.0ms
(/ 1 (/ (+ 1.0 (* y (/ x 2.0))) y))
5.0ms
(/ (+ 1.0 (* y (/ x 2.0))) y)

series30.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ 1.0 (* y (/ x 2.0)))
7.0ms
(- x (/ 1 (/ (+ 1.0 (* y (/ x 2.0))) y)))
11.0ms
(/ 1 (/ (+ 1.0 (* y (/ x 2.0))) y))
7.0ms
(/ (+ 1.0 (* y (/ x 2.0))) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050432329

prune165.0ms

Filtered
99 candidates to 146 candidates (-47.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1451146
Fresh112
Picked101
Done022
Total1474151

Merged error: 0b

Counts
151 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (+ (* x 0.5) (/ 1.0 y))))
0.0b
(+ (* x 0.5) (/ 1.0 y))
0.1b
(/ 1 (+ (* x 0.5) (/ 1.0 y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
11×add-cube-cbrt times-frac
7×add-exp-log add-log-exp
5×add-cbrt-cube
4×pow1
3×associate-/r* associate-/l* difference-of-squares
2×flip3-+ div-exp associate-/r/ flip-+ div-inv distribute-lft-out--
1×cbrt-undiv +-commutative sub-neg rec-exp flip3-- pow-flip frac-2neg diff-log 1-exp clear-num sum-log flip-- inv-pow
Counts
3 → 60
Calls
3 calls:
10.0ms
(- x (/ 1 (+ (* x 0.5) (/ 1.0 y))))
5.0ms
(+ (* x 0.5) (/ 1.0 y))
7.0ms
(/ 1 (+ (* x 0.5) (/ 1.0 y)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- x (/ 1 (+ (* x 0.5) (/ 1.0 y))))
5.0ms
(+ (* x 0.5) (/ 1.0 y))
10.0ms
(/ 1 (+ (* x 0.5) (/ 1.0 y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05089937

prune70.0ms

Filtered
46 candidates to 69 candidates (-50.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh011
Picked011
Done022
Total69473

Merged error: 0b

Counts
73 → 4

regimes115.0ms

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
01111
11111

end0.0ms

analyze46.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
50%50%0.1%5
62.4%37.5%0.1%6
74.9%25%0.1%7
81.2%18.7%0.1%8
87.4%12.5%0.1%9
90.5%9.4%0.1%10
93.7%6.2%0.1%11
95.2%4.7%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14

sample367.0ms

Algorithm
intervals
Results
249.0ms7997×body80valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body320valid

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