Details

Time bar (total: 1.6s)

analyze66.0ms (4%)

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

sample17.0ms (1%)

Algorithm
intervals
Results
10.0ms256×body80valid

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0389
1389

prune7.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite9.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls

2 calls:

5.0ms
(* y (* y 3))
4.0ms
(+ (* x x) (* y (* y 3)))

series10.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

7.0ms
(+ (* x x) (* y (* y 3)))
3.0ms
(* y (* y 3))

simplify58.0ms (3.5%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04932279
14932279

prune56.0ms (3.4%)

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 (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls

2 calls:

5.0ms
(* (* y y) 3)
4.0ms
(+ (* x x) (* (* y y) 3))

series9.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(+ (* x x) (* (* y y) 3))
3.0ms
(* (* y y) 3)

simplify35.0ms (2.1%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04939289
14939289

prune58.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New34236
Fresh022
Picked011
Done011
Total34640

Merged error: 0.0b

Counts
40 → 6

localize11.0ms (0.7%)

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))))
0.3b
(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))

rewrite34.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*r*
associate-*l*
add-log-exp
cbrt-prod *-commutative
+-commutative flip3-+ sum-log flip-+ unswap-sqr
Counts
4 → 78
Calls

4 calls:

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

series35.0ms (2.1%)

Counts
4 → 12
Calls

4 calls:

10.0ms
(+ (* x x) (* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
9.0ms
(* (* y (* y (* (cbrt 3) (cbrt 3)))) (cbrt 3))
8.0ms
(* y (* y (* (cbrt 3) (cbrt 3))))
8.0ms
(* y (* (cbrt 3) (cbrt 3)))

simplify44.0ms (2.7%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05003679

prune161.0ms (9.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh033
Picked011
Done022
Total89796

Merged error: 0b

Counts
96 → 7

localize17.0ms (1%)

Local error

Found 4 expressions with local error:

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

rewrite38.0ms (2.3%)

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
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
cbrt-prod add-log-exp
pow-to-exp pow-exp sqrt-prod *-commutative
+-commutative flip3-+ sum-log flip-+
Counts
4 → 83
Calls

4 calls:

13.0ms
(* (* y (* y (* (pow (cbrt 3) 2) (cbrt (sqrt 3))))) (cbrt (sqrt 3)))
9.0ms
(* y (* y (* (pow (cbrt 3) 2) (cbrt (sqrt 3)))))
8.0ms
(* y (* (pow (cbrt 3) 2) (cbrt (sqrt 3))))
5.0ms
(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (sqrt 3))))) (cbrt (sqrt 3))))

series129.0ms (7.8%)

Counts
4 → 12
Calls

4 calls:

36.0ms
(* (* y (* y (* (pow (cbrt 3) 2) (cbrt (sqrt 3))))) (cbrt (sqrt 3)))
34.0ms
(* y (* (pow (cbrt 3) 2) (cbrt (sqrt 3))))
33.0ms
(* y (* y (* (pow (cbrt 3) 2) (cbrt (sqrt 3)))))
27.0ms
(+ (* x x) (* (* y (* y (* (pow (cbrt 3) 2) (cbrt (sqrt 3))))) (cbrt (sqrt 3))))

simplify64.0ms (3.9%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049201116
149201116

prune225.0ms (13.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh033
Picked011
Done033
Total957102

Merged error: 0b

Counts
102 → 7

regimes191.0ms (11.6%)

Accuracy

Total 0.1b remaining (93.5%)

Threshold costs 0.1b (93.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0109
1109

end0.0ms (0%)

sample348.0ms (21.1%)

Algorithm
intervals
Results
224.0ms8000×body80valid
0.0msbody80invalid

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