Details

Time bar (total: 1.3s)

analyze70.0ms

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
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14

sample11.0ms

Algorithm
intervals
Results
4.0ms253×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 200.0 (- x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 24
Calls
1 calls:
8.0ms
(* 200.0 (- x y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* 200.0 (- x y))

simplify33.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05155172

prune60.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh000
Picked011
Done000
Total24428

Merged error: 0b

Counts
28 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- x y) (sqrt 200.0))
0.3b
(* (sqrt 200.0) (* (- x y) (sqrt 200.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×associate-*l*
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt associate-*r* sqrt-prod
4×pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
7.0ms
(* (- x y) (sqrt 200.0))
9.0ms
(* (sqrt 200.0) (* (- x y) (sqrt 200.0)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- x y) (sqrt 200.0))
11.0ms
(* (sqrt 200.0) (* (- x y) (sqrt 200.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05103392

prune66.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh022
Picked011
Done011
Total55459

Merged error: 0b

Counts
59 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- x y) (cbrt 200.0))
0.4b
(* (* (cbrt 200.0) (cbrt 200.0)) (* (- x y) (cbrt 200.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
11×add-sqr-sqrt
9×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
7×*-un-lft-identity associate-*r*
6×associate-*l*
5×add-cube-cbrt
4×cbrt-prod associate-*l/
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 50
Calls
2 calls:
7.0ms
(* (- x y) (cbrt 200.0))
11.0ms
(* (* (cbrt 200.0) (cbrt 200.0)) (* (- x y) (cbrt 200.0)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- x y) (cbrt 200.0))
8.0ms
(* (* (cbrt 200.0) (cbrt 200.0)) (* (- x y) (cbrt 200.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05108395

prune71.0ms

Filtered
34 candidates to 56 candidates (-64.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh011
Picked011
Done022
Total56460

Merged error: 0b

Counts
60 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

2.2b
(+ (* x x) (+ (* y y) (* x y)))
3.2b
(+ (* y y) (* x y))
4.5b
(- (pow x 3) (pow y 3))
39.9b
(/ (* 200.0 (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
16×*-un-lft-identity difference-of-squares
13×add-log-exp
12×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
8×sqr-pow
6×add-cube-cbrt
5×distribute-lft-out--
4×pow1 sum-log
3×flip3-+ times-frac associate-/r* flip-+
2×cbrt-undiv +-commutative flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/
1×difference-cubes sub-neg associate-+r+ distribute-rgt-out frac-2neg diff-log prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 83
Calls
4 calls:
6.0ms
(+ (* x x) (+ (* y y) (* x y)))
3.0ms
(+ (* y y) (* x y))
11.0ms
(- (pow x 3) (pow y 3))
18.0ms
(/ (* 200.0 (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* x x) (+ (* y y) (* x y)))
6.0ms
(+ (* y y) (* x y))
7.0ms
(- (pow x 3) (pow y 3))
15.0ms
(/ (* 200.0 (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

simplify38.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
052021287

prune112.0ms

Filtered
58 candidates to 95 candidates (-63.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done033
Total95499

Merged error: 0b

Counts
99 → 4

regimes173.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

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
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14

sample271.0ms

Algorithm
intervals
Results
139.0ms7851×body80valid
5.0ms33×body640valid
5.0ms61×body1280valid
2.0ms22×body2560valid
1.0ms23×body320valid
1.0ms59×body80invalid
0.0ms10×body160valid

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