Details

Time bar (total: 1.2s)

analyze36.0ms

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
50%50%0.1%4
50%50%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
87.4%12.5%0.1%8
87.4%12.5%0.1%9
93.7%6.2%0.1%10
93.7%6.2%0.1%11
96.8%3.1%0.1%12
96.8%3.1%0.1%13
98.3%1.6%0.1%14

sample13.0ms

Algorithm
intervals
Results
5.0ms242×body80valid
0.0ms4×body1280valid
0.0ms4×body320valid
0.0ms2×body2560valid
0.0ms2×body640valid
0.0ms2×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0207
1207

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
9.0ms
(+ x (/ (- x y) 2.0))

series5.0ms

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

simplify31.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05234157

prune27.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13316
Fresh000
Picked011
Done000
Total13417

Merged error: 0.0b

Counts
17 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x 1.5) (* y 0.5))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 11
Calls
1 calls:
3.0ms
(- (* x 1.5) (* y 0.5))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- (* x 1.5) (* y 0.5))

simplify49.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04912151
14912151

prune26.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New13114
Fresh022
Picked011
Done011
Total13518

Merged error: 0.0b

Counts
18 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x 1.5) (* y 0.5))
0.1b
(* x (* x (* 1.5 1.5)))
2.5b
(- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5))))
28.7b
(/ (- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5)))) (+ (* x 1.5) (* y 0.5)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
13×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*r* clear-num sum-log *-commutative div-inv
Counts
4 → 75
Calls
4 calls:
3.0ms
(+ (* x 1.5) (* y 0.5))
7.0ms
(* x (* x (* 1.5 1.5)))
6.0ms
(- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5))))
11.0ms
(/ (- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5)))) (+ (* x 1.5) (* y 0.5)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* x 1.5) (* y 0.5))
3.0ms
(* x (* x (* 1.5 1.5)))
10.0ms
(- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5))))
13.0ms
(/ (- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5)))) (+ (* x 1.5) (* y 0.5)))

simplify45.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
055081369

prune127.0ms

Filtered
60 candidates to 87 candidates (-45.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New83487
Fresh202
Picked101
Done022
Total86692

Merged error: 0.0b

Counts
92 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 1.5) (* y 0.5))
0.1b
(/ 1 (- (* x 1.5) (* y 0.5)))
0.2b
(/ 1 (/ 1 (- (* x 1.5) (* y 0.5))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
26×add-exp-log
18×associate-/r*
16×div-exp
11×associate-/r/
10×add-cbrt-cube
8×rec-exp 1-exp
6×pow1 flip3-- flip-- div-inv associate-/l*
5×pow-flip add-log-exp
4×cbrt-undiv
3×inv-pow
2×frac-2neg clear-num
1×sub-neg diff-log remove-double-div
Counts
3 → 137
Calls
3 calls:
5.0ms
(- (* x 1.5) (* y 0.5))
5.0ms
(/ 1 (- (* x 1.5) (* y 0.5)))
8.0ms
(/ 1 (/ 1 (- (* x 1.5) (* y 0.5))))

series16.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(- (* x 1.5) (* y 0.5))
6.0ms
(/ 1 (- (* x 1.5) (* y 0.5)))
5.0ms
(/ 1 (/ 1 (- (* x 1.5) (* y 0.5))))

simplify73.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
052331911

prune120.0ms

Filtered
69 candidates to 146 candidates (-111.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1451146
Fresh033
Picked011
Done022
Total1457152

Merged error: 0b

Counts
152 → 7

regimes146.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097
197

end0.0ms

analyze39.0ms

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
50%50%0.1%4
50%50%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
87.4%12.5%0.1%8
87.4%12.5%0.1%9
93.7%6.2%0.1%10
93.7%6.2%0.1%11
96.8%3.1%0.1%12
96.8%3.1%0.1%13
98.3%1.6%0.1%14

sample352.0ms

Algorithm
intervals
Results
172.0ms7411×body80valid
20.0ms204×body1280valid
13.0ms166×body640valid
10.0ms83×body2560valid
5.0ms93×body320valid
2.0ms43×body160valid
0.0ms2×body80invalid

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