Details

Time bar (total: 1.7s)

analyze66.0ms

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

sample24.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0389
1389

prune11.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
4.0ms
(+ (* x x) (* y y))
7.0ms
(+ (+ (* x x) (* y y)) (* y y))
9.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series18.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* x x) (* y y))
6.0ms
(+ (+ (* x x) (* y y)) (* y y))
7.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify50.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05136513

prune66.0ms

Filtered
32 candidates to 47 candidates (-46.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New41647
Fresh011
Picked101
Done000
Total42749

Merged error: 0.0b

Counts
49 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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

series12.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* x x) (* y (* y 3)))
3.0ms
(* y (* y 3))

simplify61.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04932279
14932279

prune57.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32335
Fresh246
Picked011
Done000
Total34842

Merged error: 0.0b

Counts
42 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))
0.2b
(* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))
5.0b
(sqrt (+ (* x x) (* y (+ y y))))
5.0b
(sqrt (+ (* x x) (* y (+ y y))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
12.0ms
(+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))
12.0ms
(* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))
4.0ms
(sqrt (+ (* x x) (* y (+ y y))))
4.0ms
(sqrt (+ (* x x) (* y (+ y y))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y))))) (* y y))
7.0ms
(* (sqrt (+ (* x x) (* y (+ y y)))) (sqrt (+ (* x x) (* y (+ y y)))))
7.0ms
(sqrt (+ (* x x) (* y (+ y y))))
8.0ms
(sqrt (+ (* x x) (* y (+ y y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049591363
149591363

prune116.0ms

Filtered
66 candidates to 110 candidates (-66.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh066
Picked011
Done011
Total1099118

Merged error: 0b

Counts
118 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (* y 3))
0.3b
(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
19.2b
(sqrt (* y (* y 3)))
19.2b
(sqrt (* y (* y 3)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
5.0ms
(* y (* y 3))
11.0ms
(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
3.0ms
(sqrt (* y (* y 3)))
4.0ms
(sqrt (* y (* y 3)))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* y (* y 3))
7.0ms
(* (sqrt (* y (* y 3))) (sqrt (* y (* y 3))))
3.0ms
(sqrt (* y (* y 3)))
4.0ms
(sqrt (* y (* y 3)))

simplify39.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05093497

prune104.0ms

Filtered
53 candidates to 120 candidates (-126.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh246
Picked101
Done022
Total1227129

Merged error: 0b

Counts
129 → 7

regimes147.0ms

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

sample650.0ms

Algorithm
intervals
Results
194.0ms8000×body80valid

Profiling

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