Details

Time bar (total: 1.4s)

analyze34.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%62.4%12.6%4
37.5%43.7%18.8%5
37.5%34.3%28.2%6
43.7%23.4%32.9%7
43.7%18%38.3%8
46.8%12.1%41.1%9
46.8%9.2%44%10
48.4%6.1%45.5%11
48.4%4.6%47%12
49.2%3.1%47.7%13
49.2%2.3%48.5%14

sample17.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms10×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
054
154

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity sqrt-prod
add-sqr-sqrt
pow1 add-cube-cbrt sqrt-div
add-exp-log rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 16
Calls
1 calls:
3.0ms
(sqrt (+ x y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(sqrt (+ x y))

simplify27.0ms

Algorithm
egg-herbie
Counts
19 → 19
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05079150

prune28.0ms

Filtered
14 candidates to 19 candidates (-35.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New16319
Fresh000
Picked011
Done000
Total16420

Merged error: 0.0b

Counts
20 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ x y)))
0.3b
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×cbrt-prod
16×sqrt-prod
12×add-cube-cbrt
10×associate-*r*
cbrt-div
pow1
add-exp-log add-cbrt-cube
flip3-+ sqrt-div flip-+ distribute-lft-out add-log-exp
pow1/3 associate-*l* unswap-sqr
rem-sqrt-square sqrt-pow1 associate-*r/
pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 78
Calls
4 calls:
4.0ms
(sqrt (cbrt (+ x y)))
11.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series145.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (cbrt (+ x y)))
54.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
29.0ms
(cbrt (+ x y))
29.0ms
(cbrt (+ x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05030864

prune94.0ms

Filtered
69 candidates to 90 candidates (-30.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh022
Picked011
Done011
Total89594

Merged error: 0b

Counts
94 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.6b
(cbrt (cbrt (+ x y)))
0.6b
(cbrt (cbrt (+ x y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
18×*-un-lft-identity
12×cbrt-div
10×add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 62
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
4.0ms
(cbrt (cbrt (+ x y)))
4.0ms
(cbrt (cbrt (+ x y)))

series147.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))
48.0ms
(cbrt (cbrt (+ x y)))
38.0ms
(cbrt (cbrt (+ x y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04829636
14829636

prune93.0ms

Filtered
60 candidates to 74 candidates (-23.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh022
Picked011
Done022
Total74579

Merged error: 0b

Counts
79 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x y))
0.5b
(pow (sqrt (+ x y)) 3)
17.5b
(cbrt (pow (sqrt (+ x y)) 3))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×cbrt-prod sqrt-prod
15×add-sqr-sqrt
14×add-cube-cbrt unpow-prod-down cube-prod
pow1 sqrt-div
distribute-lft-out
add-exp-log cube-div add-cbrt-cube
pow-unpow pow-pow flip3-+ flip-+ add-log-exp
cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
pow-to-exp rem-sqrt-square pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
3 → 83
Calls
3 calls:
3.0ms
(sqrt (+ x y))
5.0ms
(pow (sqrt (+ x y)) 3)
5.0ms
(cbrt (pow (sqrt (+ x y)) 3))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(sqrt (+ x y))
15.0ms
(pow (sqrt (+ x y)) 3)
6.0ms
(cbrt (pow (sqrt (+ x y)) 3))

simplify38.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05915773

prune66.0ms

Filtered
45 candidates to 92 candidates (-104.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done033
Total92597

Merged error: 0b

Counts
97 → 5

regimes171.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054
154

end0.0ms

sample289.0ms

Algorithm
intervals
Results
159.0ms8000×body80valid
5.0ms266×body80nan

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