Details

Time bar (total: 1.7s)

analyze45.0ms

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

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms5×body80nan
0.0ms4×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
02258
12258

prune10.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg associate-+l+ flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series13.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (- 1.0 x) (* y (sqrt x)))
7.0ms
(* y (sqrt x))

simplify43.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04928360
14928360

prune69.0ms

Filtered
32 candidates to 42 candidates (-31.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New35742
Fresh000
Picked011
Done000
Total35843

Merged error: 0.0b

Counts
43 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.2b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite24.0ms

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:
4.0ms
(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:
16.0ms
(sqrt (sqrt x))
15.0ms
(sqrt (sqrt x))
11.0ms
(* 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

prune100.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New973100
Fresh246
Picked101
Done011
Total1008108

Merged error: 0.0b

Counts
108 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
0.3b
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
0.5b
(cbrt x)
0.5b
(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:
13.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
7.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series111.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* y (* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))) (sqrt (sqrt (cbrt x))))
25.0ms
(* (sqrt (sqrt x)) (sqrt (fabs (cbrt x))))
22.0ms
(cbrt x)
25.0ms
(cbrt x)

simplify60.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049091077
149091077

prune122.0ms

Filtered
62 candidates to 99 candidates (-59.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh156
Picked011
Done011
Total998107

Merged error: 0.0b

Counts
107 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* y (* (sqrt (fabs (cbrt x))) (pow x 1/4))) (sqrt (sqrt (cbrt x))))
0.3b
(* (sqrt (fabs (cbrt x))) (pow x 1/4))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
24×add-sqr-sqrt
21×sqrt-prod
19×associate-*r*
15×prod-exp add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
9×pow1 cbrt-prod
7×associate-*l* cbrt-unprod
6×unswap-sqr
5×unpow-prod-down
4×add-log-exp
3×pow-prod-down sqr-pow
2×pow-to-exp pow1/3 pow-exp *-commutative
Counts
4 → 84
Calls
4 calls:
11.0ms
(* (* y (* (sqrt (fabs (cbrt x))) (pow x 1/4))) (sqrt (sqrt (cbrt x))))
6.0ms
(* (sqrt (fabs (cbrt x))) (pow x 1/4))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series109.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* y (* (sqrt (fabs (cbrt x))) (pow x 1/4))) (sqrt (sqrt (cbrt x))))
29.0ms
(* (sqrt (fabs (cbrt x))) (pow x 1/4))
22.0ms
(cbrt x)
25.0ms
(cbrt x)

simplify61.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05151980

prune107.0ms

Filtered
60 candidates to 96 candidates (-60.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh055
Picked011
Done022
Total968104

Merged error: 0.0b

Counts
104 → 8

regimes174.0ms

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 (0.0ms)

IterNodesCost
0198
1198

end0.0ms

sample367.0ms

Algorithm
intervals
Results
239.0ms7996×body80valid
4.0ms130×body80nan
2.0ms70×body80invalid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

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