Details

Time bar (total: 1.7s)

analyze34.0ms

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

sample14.0ms

Algorithm
intervals
Results
5.0ms242×body80valid
1.0msbody1280valid
0.0msbody640valid
0.0msbody320valid
0.0msbody160valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
07027
17027

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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))

simplify62.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04966157
14966157

prune36.0ms

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

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
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))

simplify40.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05571151

prune30.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh123
Picked101
Done011
Total15419

Merged error: 0.0b

Counts
19 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))
0.0b
(sqrt (+ x (/ (- x y) 2.0)))
0.0b
(sqrt (+ x (/ (- x y) 2.0)))
0.3b
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
flip3-+ flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log add-cbrt-cube add-log-exp
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
rem-sqrt-square associate-*r/ associate-*l/
+-commutative pow2 associate-+r- pow-plus sqrt-unprod div-sub prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
10.0ms
(+ x (/ (- x y) 2.0))
8.0ms
(sqrt (+ x (/ (- x y) 2.0)))
8.0ms
(sqrt (+ x (/ (- x y) 2.0)))
21.0ms
(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

series32.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
053241357

prune156.0ms

Filtered
65 candidates to 119 candidates (-83.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1172119
Fresh022
Picked011
Done011
Total1176123

Merged error: 0.0b

Counts
123 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
0.1b
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
0.2b
(* (pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3) (sqrt (sqrt (+ x (/ (- x y) 2.0)))))
0.4b
(pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
121×sqrt-prod
74×add-sqr-sqrt
39×*-un-lft-identity
36×sqrt-div
29×unpow-prod-down cube-prod
26×associate-*l*
25×add-cube-cbrt
24×unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log associate-*r*
flip3-+ flip-+
cube-div
add-cbrt-cube distribute-lft-out
pow1/2
pow-pow sqr-pow
frac-times rem-sqrt-square add-log-exp
pow-unpow prod-exp
cube-mult pow-to-exp unpow3 associate-*r/ associate-*l/ pow-exp
pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 170
Calls
4 calls:
9.0ms
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
9.0ms
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
31.0ms
(* (pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3) (sqrt (sqrt (+ x (/ (- x y) 2.0)))))
11.0ms
(pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3)

series190.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
43.0ms
(sqrt (sqrt (+ x (/ (- x y) 2.0))))
6.0ms
(* (pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3) (sqrt (sqrt (+ x (/ (- x y) 2.0)))))
101.0ms
(pow (sqrt (sqrt (+ x (/ (- x y) 2.0)))) 3)

simplify79.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
050272525

prune261.0ms

Filtered
87 candidates to 182 candidates (-109.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1811182
Fresh123
Picked101
Done112
Total1844188

Merged error: 0.0b

Counts
188 → 4

regimes123.0ms

Accuracy

0% (0.0b 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
0427
1427

end0.0ms

sample357.0ms

Algorithm
intervals
Results
174.0ms7355×body80valid
20.0ms216×body1280valid
12.0ms162×body640valid
11.0ms102×body2560valid
6.0ms114×body320valid
2.0ms51×body160valid
0.0msbody80invalid

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