Details

Time bar (total: 1.3s)

analyze71.0ms

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
37.5%62.4%0.1%6
43.7%43.7%12.6%7
53.1%34.3%12.6%8
57.8%23.4%18.8%9
63.2%18%18.8%10
66%12.1%22%11
68.9%9.2%22%12
70.3%6.1%23.5%13
71.9%4.6%23.5%14

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms6×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1187

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* y y))
5.0b
(* x (+ 1.0 (* y y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
2.0ms
(+ 1.0 (* y y))
5.0ms
(* x (+ 1.0 (* y y)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ 1.0 (* y y))
11.0ms
(* x (+ 1.0 (* y y)))

simplify30.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05021307

prune62.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New32739
Fresh000
Picked101
Done000
Total33740

Merged error: 5.1b

Counts
40 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y y)))
10.6b
(* x (* y y))

rewrite9.0ms

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-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 31
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (* y y)))
5.0ms
(* x (* y y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* x (* y y)))
6.0ms
(* x (* y y))

simplify49.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04907269
14907269

prune43.0ms

Filtered
23 candidates to 37 candidates (-60.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh336
Picked011
Done000
Total38644

Merged error: 0.0b

Counts
44 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x y) y))
0.2b
(* (* x y) y)

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-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* (* x y) y))
4.0ms
(* (* x y) y)

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* (* x y) y))
6.0ms
(* (* x y) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05388256

prune41.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh044
Picked011
Done011
Total35641

Merged error: 0.0b

Counts
41 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

5.0b
(* x (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))))
5.1b
(cbrt (+ 1.0 (* y y)))
5.1b
(cbrt (+ 1.0 (* y y)))
5.1b
(cbrt (+ 1.0 (* y y)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
18.0ms
(* x (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* x (* (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))) (cbrt (+ 1.0 (* y y)))))
11.0ms
(cbrt (+ 1.0 (* y y)))
12.0ms
(cbrt (+ 1.0 (* y y)))
12.0ms
(cbrt (+ 1.0 (* y y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049961415
149961415

prune169.0ms

Filtered
73 candidates to 98 candidates (-34.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh033
Picked011
Done022
Total986104

Merged error: 0.0b

Counts
104 → 6

regimes226.0ms

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
0119
1119

end0.0ms

analyze76.0ms

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
37.5%62.4%0.1%6
43.7%43.7%12.6%7
53.1%34.3%12.6%8
57.8%23.4%18.8%9
63.2%18%18.8%10
66%12.1%22%11
68.9%9.2%22%12
70.3%6.1%23.5%13
71.9%4.6%23.5%14

sample290.0ms

Algorithm
intervals
Results
172.0ms8000×body80valid
3.0ms164×body80invalid

Profiling

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