Details

Time bar (total: 1.5s)

analyze44.0ms

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

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms5×body80nan
0.0ms2×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02258
12258

prune6.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(* 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))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* y (sqrt x))

simplify42.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05051174

prune47.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New19625
Fresh000
Picked011
Done000
Total19726

Merged error: 0.0b

Counts
26 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt x))
0.2b
(sqrt (sqrt x))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite21.0ms

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)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (sqrt x))
17.0ms
(sqrt (sqrt x))
10.0ms
(* y (sqrt (sqrt x)))
7.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05020626

prune92.0ms

Filtered
56 candidates to 100 candidates (-78.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New973100
Fresh235
Picked011
Done011
Total998107

Merged error: 0.0b

Counts
107 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×sqrt-prod
27×add-sqr-sqrt
18×associate-*r*
17×pow1
15×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*l*
9×cbrt-prod pow-prod-down
7×prod-exp cbrt-unprod
6×unswap-sqr
4×add-log-exp
2×sqrt-pow1 pow1/2 pow1/3 *-commutative
1×sqrt-unprod
Counts
4 → 87
Calls
4 calls:
7.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
13.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series104.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
36.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
25.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify62.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049091077
149091077

prune110.0ms

Filtered
61 candidates to 99 candidates (-62.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New98199
Fresh145
Picked011
Done022
Total998107

Merged error: 0.0b

Counts
107 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×sqrt-prod
17×add-sqr-sqrt
15×associate-*r*
13×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
9×cbrt-prod
7×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 71
Calls
4 calls:
11.0ms
(* (* y (sqrt (* (sqrt x) (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
5.0ms
(* (sqrt x) (fabs (cbrt x)))
3.0ms
(cbrt x)
2.0ms
(cbrt x)

series88.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* y (sqrt (* (sqrt x) (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
7.0ms
(* (sqrt x) (fabs (cbrt x)))
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04947810
14947810

prune89.0ms

Filtered
57 candidates to 83 candidates (-45.6%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh044
Picked011
Done033
Total83891

Merged error: 0.0b

Counts
91 → 8

regimes170.0ms

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
0198
1198

end0.0ms

sample348.0ms

Algorithm
intervals
Results
220.0ms7997×body80valid
4.0ms147×body80nan
1.0ms54×body80invalid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid

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