Details

Time bar (total: 1.4s)

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

sample26.0ms

Algorithm
intervals
Results
5.0ms244×body80valid
1.0ms6×body1280valid
0.0ms3×body640valid
0.0ms2×body320valid
0.0ms1×body160valid

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:

0.1b
(+ 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))

simplify43.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (40.0ms)

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: 0.0b

Counts
17 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(- (* x 1.5) (* y 0.5))

rewrite4.0ms

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:
4.0ms
(- (* x 1.5) (* y 0.5))

series5.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05477151

prune28.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

13.6b
(+ (* x x) (* (- x y) (/ (/ (- y x) 2.0) 2.0)))
30.3b
(/ (+ (* x x) (* (- x y) (/ (/ (- y x) 2.0) 2.0))) (+ x (/ (- y x) 2.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out add-log-exp
3×flip3-+ flip-+ associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 46
Calls
2 calls:
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)))

series23.0ms

Counts
2 → 6
Calls
2 calls:
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)))

simplify41.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
052561434

prune77.0ms

Filtered
39 candidates to 52 candidates (-33.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh022
Picked011
Done022
Total52557

Merged error: 0.0b

Counts
57 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* x 1.5) (* y 0.5))
0.1b
(* x (* x (* 1.5 1.5)))
4.0b
(- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5))))
30.3b
(/ (- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5)))) (+ (* x 1.5) (* y 0.5)))

rewrite32.0ms

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:
4.0ms
(+ (* x 1.5) (* y 0.5))
7.0ms
(* x (* x (* 1.5 1.5)))
8.0ms
(- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5))))
12.0ms
(/ (- (* x (* x (* 1.5 1.5))) (* y (* y (* 0.5 0.5)))) (+ (* x 1.5) (* y 0.5)))

series30.0ms

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)))

simplify29.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
049941391
149941391

prune126.0ms

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

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New86187
Fresh101
Picked011
Done213
Total89392

Merged error: 0.0b

Counts
92 → 3

regimes110.0ms

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 (1.0ms)

IterNodesCost
0177
1177

end0.0ms

sample657.0ms

Algorithm
intervals
Results
136.0ms7431×body80valid
17.0ms194×body1280valid
10.0ms142×body640valid
10.0ms83×body2560valid
5.0ms96×body320valid
2.0ms54×body160valid

Profiling

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