Details

Time bar (total: 1.5s)

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
0%74.9%25.1%4
18.7%56.2%25.1%5
28.1%34.3%37.6%6
34.3%28.1%37.6%7
39%17.2%43.8%8
41%13.7%45.4%9
43.1%8.4%48.5%10
44%6.7%49.3%11
45%4.1%50.8%12
45.4%3.3%51.2%13
45.9%2.1%52%14

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms4×body80invalid
0.0ms1×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0198
1198

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (sqrt x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*r*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* y (sqrt x))

series6.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04988172
14988172

prune38.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New21425
Fresh000
Picked011
Done000
Total21526

Merged error: 0.0b

Counts
26 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
6.0ms
(* y (sqrt (sqrt x)))
9.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

series45.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt x))
14.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05046626

prune86.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New964100
Fresh303
Picked101
Done011
Total1005105

Merged error: 0b

Counts
105 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
0.3b
(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-prod
28×add-sqr-sqrt
20×pow1
18×add-exp-log add-cbrt-cube
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×cbrt-prod pow-prod-down
9×prod-exp cbrt-unprod
8×unswap-sqr
7×associate-*l*
4×add-log-exp
2×sqrt-pow1 pow1/2 pow1/3 *-commutative
1×sqrt-unprod
Counts
4 → 84
Calls
4 calls:
11.0ms
(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
11.0ms
(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series117.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x))))
35.0ms
(* (* y (sqrt (sqrt x))) (* (sqrt (fabs (cbrt x))) (sqrt (sqrt (cbrt x)))))
21.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify51.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049611055
149611055

prune93.0ms

Filtered
58 candidates to 96 candidates (-65.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New95196
Fresh213
Picked011
Done011
Total974101

Merged error: 0b

Counts
101 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* y (sqrt (sqrt x))) (sqrt (* (sqrt (cbrt x)) (fabs (cbrt x)))))
0.4b
(* (sqrt (cbrt x)) (fabs (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×cbrt-prod associate-*l*
9×sqrt-prod
7×associate-*r*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 67
Calls
4 calls:
10.0ms
(* (* y (sqrt (sqrt x))) (sqrt (* (sqrt (cbrt x)) (fabs (cbrt x)))))
5.0ms
(* (sqrt (cbrt x)) (fabs (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series110.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (* y (sqrt (sqrt x))) (sqrt (* (sqrt (cbrt x)) (fabs (cbrt x)))))
28.0ms
(* (sqrt (cbrt x)) (fabs (cbrt x)))
25.0ms
(cbrt x)
23.0ms
(cbrt x)

simplify57.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04944752
14944752

prune86.0ms

Filtered
56 candidates to 79 candidates (-41.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh011
Picked011
Done022
Total79483

Merged error: 0b

Counts
83 → 4

regimes124.0ms

Accuracy

0% (0.0b 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 (0.0ms)

IterNodesCost
098
198

end0.0ms

analyze42.0ms

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
0%74.9%25.1%4
18.7%56.2%25.1%5
28.1%34.3%37.6%6
34.3%28.1%37.6%7
39%17.2%43.8%8
41%13.7%45.4%9
43.1%8.4%48.5%10
44%6.7%49.3%11
45%4.1%50.8%12
45.4%3.3%51.2%13
45.9%2.1%52%14

sample344.0ms

Algorithm
intervals
Results
218.0ms8000×body80valid
3.0ms137×body80nan
2.0ms83×body80invalid

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