Details

Time bar (total: 1.9s)

analyze31.0ms

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

sample16.0ms

Algorithm
intervals
Results
8.0ms240×body80valid
1.0ms8×body1280valid
1.0ms4×body640valid
0.0ms1×body2560valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
03567
13567

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

localize4.0ms

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))

simplify38.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04988157
14988157

prune36.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New10616
Fresh000
Picked011
Done000
Total10717

Merged error: 0.0b

Counts
17 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* 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:
3.0ms
(- (* x 1.5) (* y 0.5))

series5.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05477151

prune27.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New13114
Fresh235
Picked011
Done011
Total15621

Merged error: 0.0b

Counts
21 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (+ x (/ (- x y) 2.0)))
23.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
44.0ms
(cbrt (+ x (/ (- x y) 2.0)))
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
50.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
051741558

prune217.0ms

Filtered
79 candidates to 107 candidates (-35.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh033
Picked101
Done112
Total1067113

Merged error: 0.0b

Counts
113 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(* (cbrt (+ x (/ (- x y) 2.0))) (* (cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2)) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
0.6b
(pow (cbrt (+ x (/ (- x y) 2.0))) 2)
0.6b
(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
22×cbrt-div *-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt unpow-prod-down
10×pow1 add-exp-log
8×associate-*r/
7×flip3-+ associate-*l* flip-+
6×pow1/3
5×pow-prod-down add-cbrt-cube
4×frac-times distribute-lft-out add-log-exp
3×pow-unpow prod-exp cbrt-unprod
2×pow-pow associate-*l/ unpow2 sqr-pow
1×pow-to-exp associate-*r* pow-exp *-commutative
Counts
4 → 91
Calls
4 calls:
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
34.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (* (cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2)) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
12.0ms
(pow (cbrt (+ x (/ (- x y) 2.0))) 2)
10.0ms
(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))

series207.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
50.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (* (cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2)) (cbrt (cbrt (+ x (/ (- x y) 2.0))))))
62.0ms
(pow (cbrt (+ x (/ (- x y) 2.0))) 2)
50.0ms
(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))

simplify68.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
050661922

prune281.0ms

Filtered
82 candidates to 103 candidates (-25.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1012103
Fresh145
Picked011
Done011
Total1028110

Merged error: 0.0b

Counts
110 → 8

regimes245.0ms

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
0357
1357

end0.0ms

sample315.0ms

Algorithm
intervals
Results
150.0ms7401×body80valid
21.0ms243×body1280valid
12.0ms142×body640valid
8.0ms80×body2560valid
4.0ms81×body320valid
2.0ms53×body160valid
0.0ms2×body80invalid

Profiling

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