Details

Time bar (total: 1.5s)

analyze61.0ms

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%99.9%0.1%4
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0389
1389

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y (* y 3)))
0.2b
(* y (* y 3))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* x x) (* y (* y 3)))
4.0ms
(* y (* y 3))

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x x) (* y (* y 3)))
3.0ms
(* y (* y 3))

simplify39.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04956279
14956279

prune49.0ms

Filtered
21 candidates to 35 candidates (-66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh101
Picked011
Done000
Total31637

Merged error: 0.0b

Counts
37 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* (* y y) 3))
0.2b
(* (* y y) 3)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
5.0ms
(+ (* x x) (* (* y y) 3))
5.0ms
(* (* y y) 3)

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x x) (* (* y y) 3))
3.0ms
(* (* y y) 3)

simplify53.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04917289
14917289

prune43.0ms

Filtered
22 candidates to 36 candidates (-63.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New35136
Fresh134
Picked011
Done011
Total36642

Merged error: 0.0b

Counts
42 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
0.0b
(* y (* (cbrt 3) (cbrt 3)))
0.2b
(* y (* y (* (cbrt 3) (cbrt 3))))
0.3b
(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity associate-*r*
7×associate-*l*
6×add-log-exp
3×cbrt-prod *-commutative
1×+-commutative flip3-+ sum-log flip-+ unswap-sqr
Counts
4 → 78
Calls
4 calls:
3.0ms
(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
6.0ms
(* y (* (cbrt 3) (cbrt 3)))
9.0ms
(* y (* y (* (cbrt 3) (cbrt 3))))
11.0ms
(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

series34.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
8.0ms
(* y (* (cbrt 3) (cbrt 3)))
7.0ms
(* y (* y (* (cbrt 3) (cbrt 3))))
9.0ms
(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

simplify36.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04990679
14990679

prune109.0ms

Filtered
52 candidates to 90 candidates (-73.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh033
Picked011
Done022
Total89796

Merged error: 0.0b

Counts
96 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3))))
0.1b
(* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))
0.2b
(* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2)))))
0.2b
(* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
37×prod-exp
25×add-cbrt-cube
20×pow1
19×cbrt-unprod
11×associate-*r*
10×pow-prod-down
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×add-log-exp
3×pow-to-exp pow-exp *-commutative
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 83
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3))))
9.0ms
(* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))
10.0ms
(* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2)))))
14.0ms
(* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3))))
44.0ms
(* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))
42.0ms
(* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2)))))
9.0ms
(* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3)))

simplify46.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04895828
14895828

prune127.0ms

Filtered
53 candidates to 95 candidates (-79.2%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh033
Picked011
Done033
Total957102

Merged error: 0.0b

Counts
102 → 7

regimes203.0ms

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
0109
1109

end0.0ms

analyze59.0ms

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%99.9%0.1%4
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14

sample328.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid
0.0ms11×body80invalid

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