Details

Time bar (total: 1.3s)

analyze41.0ms

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

sample15.0ms

Algorithm
intervals
Results
5.0ms233×body80valid
1.0msbody1280valid
1.0msbody640valid
0.0msbody320valid
0.0msbody160valid
0.0msbody2560valid
0.0msbody80invalid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
03567
13567

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
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:
8.0ms
(+ x (/ (- x y) 2.0))

series5.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04988157
14988157

prune33.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New12416
Fresh000
Picked011
Done000
Total12517

Merged error: 0.1b

Counts
17 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
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))

simplify45.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05477151

prune26.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New13114
Fresh123
Picked011
Done011
Total14519

Merged error: 0.0b

Counts
19 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x y) (/ (/ (- y x) 2.0) 2.0))
0.0b
(+ x (/ (- y x) 2.0))
11.2b
(+ (* x x) (* (- x y) (/ (/ (- y x) 2.0) 2.0)))
25.5b
(/ (+ (* x x) (* (- x y) (/ (/ (- y x) 2.0) 2.0))) (+ x (/ (- y x) 2.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
91×*-un-lft-identity
90×add-sqr-sqrt
61×add-cube-cbrt associate-*r*
15×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
add-log-exp
pow1
associate-*l* div-inv distribute-lft-out
cbrt-undiv flip3-+ div-exp associate-/r* flip-+
prod-exp cbrt-unprod associate-/l* unswap-sqr
+-commutative frac-times flip3-- associate-*l/ sum-log associate-/r/ flip-- associate-/l/
associate-+r- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 148
Calls
4 calls:
23.0ms
(* (- x y) (/ (/ (- y x) 2.0) 2.0))
8.0ms
(+ x (/ (- y x) 2.0))
5.0ms
(+ (* x x) (* (- x y) (/ (/ (- y x) 2.0) 2.0)))
14.0ms
(/ (+ (* x x) (* (- x y) (/ (/ (- y x) 2.0) 2.0))) (+ x (/ (- y x) 2.0)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- x y) (/ (/ (- y x) 2.0) 2.0))
5.0ms
(+ x (/ (- y x) 2.0))
8.0ms
(+ (* x x) (* (- x y) (/ (/ (- y x) 2.0) 2.0)))
16.0ms
(/ (+ (* x x) (* (- x y) (/ (/ (- y x) 2.0) 2.0))) (+ x (/ (- y x) 2.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
061382765

prune218.0ms

Filtered
120 candidates to 160 candidates (-33.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh022
Picked011
Done022
Total1605165

Merged error: 0.0b

Counts
165 → 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)))
4.1b
(- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5))))
25.5b
(/ (- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5)))) (+ (* x 1.5) (* y 0.5)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log add-cbrt-cube
13×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-log-exp
pow-prod-down prod-exp cbrt-unprod
associate-*l* associate-/r* associate-/l*
flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
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:
4.0ms
(+ (* x 1.5) (* y 0.5))
7.0ms
(* x (* x (* 1.5 1.5)))
10.0ms
(- (* 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)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* x 1.5) (* y 0.5))
3.0ms
(* x (* x (* 1.5 1.5)))
8.0ms
(- (* 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)))

simplify27.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
049941391
149941391

prune118.0ms

Filtered
61 candidates to 87 candidates (-42.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New86187
Fresh101
Picked011
Done123
Total88492

Merged error: 0.0b

Counts
92 → 4

regimes77.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0357
1357

end0.0ms

sample367.0ms

Algorithm
intervals
Results
178.0ms7373×body80valid
21.0ms219×body1280valid
13.0ms166×body640valid
10.0ms81×body2560valid
6.0ms103×body320valid
2.0ms58×body160valid
0.0msbody80invalid

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