Details

Time bar (total: 1.6s)

analyze67.0ms

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

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
0.0ms1×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0609
1609

prune8.0ms

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: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
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))

simplify45.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04937279
14937279

prune51.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh101
Picked011
Done000
Total33437

Merged error: 0.0b

Counts
37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
4.0ms
(+ (* 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)

simplify44.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05043289

prune46.0ms

Filtered
21 candidates to 36 candidates (-71.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New35136
Fresh022
Picked011
Done011
Total35540

Merged error: 0.0b

Counts
40 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:
5.0ms
(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
7.0ms
(* y (* (cbrt 3) (cbrt 3)))
9.0ms
(* y (* y (* (cbrt 3) (cbrt 3))))
12.0ms
(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

series37.0ms

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)))
10.0ms
(* y (* y (* (cbrt 3) (cbrt 3))))
9.0ms
(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

simplify50.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04988679
14988679

prune123.0ms

Filtered
51 candidates to 90 candidates (-76.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh112
Picked101
Done022
Total90595

Merged error: 0.0b

Counts
95 → 5

localize14.0ms

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))))
0.2b
(* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2)))))
0.2b
(* 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)))

rewrite44.0ms

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:
5.0ms
(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3))))
11.0ms
(* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2)))))
11.0ms
(* 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)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2))))) (cbrt (cbrt 3))))
45.0ms
(* y (* y (* (pow (cbrt 3) 2) (cbrt (pow (cbrt 3) 2)))))
47.0ms
(* 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)))

simplify65.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
048811224
148811224

prune192.0ms

Filtered
56 candidates to 95 candidates (-69.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New94195
Fresh112
Picked011
Done022
Total955100

Merged error: 0.0b

Counts
100 → 5

regimes180.0ms

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
0289
1289

end0.0ms

sample367.0ms

Algorithm
intervals
Results
235.0ms8000×body80valid
0.0ms10×body80invalid

Profiling

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