Details

Time bar (total: 1.7s)

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%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms4×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0133
1323
2663
3923
41003
51003

prune10.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) (* x y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 13
Calls
1 calls:
4.0ms
(- (* x x) (* x y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- (* x x) (* x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
08877
133665
2136863
3500163

prune27.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh011
Picked011
Done000
Total14418

Merged error: 0.0b

Counts
18 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (- x y))

rewrite7.0ms

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×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
6.0ms
(* x (- x y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (- x y))

simplify67.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0111100
145988
2226088
3500188

prune33.0ms

Filtered
17 candidates to 29 candidates (-70.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New28129
Fresh112
Picked101
Done011
Total30333

Merged error: 0b

Counts
33 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))
10.2b
(cbrt (- (* x x) (* x y)))
10.2b
(cbrt (- (* x x) (* x y)))
10.2b
(cbrt (- (* x x) (* x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
7×swap-sqr associate-*r* associate-*l* distribute-lft-out--
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 93
Calls
4 calls:
11.0ms
(* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))
3.0ms
(cbrt (- (* x x) (* x y)))
3.0ms
(cbrt (- (* x x) (* x y)))
3.0ms
(cbrt (- (* x x) (* x y)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (cbrt (- (* x x) (* x y))) (cbrt (- (* x x) (* x y))))
41.0ms
(cbrt (- (* x x) (* x y)))
40.0ms
(cbrt (- (* x x) (* x y)))
41.0ms
(cbrt (- (* x x) (* x y)))

simplify83.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
02461047
1828977
23048898
35001863

prune128.0ms

Filtered
84 candidates to 105 candidates (-25.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh011
Picked011
Done011
Total1053108

Merged error: 0b

Counts
108 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y y) (* x y))
0.3b
(- (pow x 3) (pow y 3))
1.8b
(* x (- (pow x 3) (pow y 3)))
35.9b
(/ (* x (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
32×difference-of-squares
28×*-un-lft-identity
25×associate-*r*
24×unpow-prod-down cube-prod
16×sqr-pow
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
8×add-cube-cbrt add-log-exp
6×pow1
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×difference-cubes cbrt-undiv distribute-rgt-in distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
1×+-commutative distribute-rgt-out frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 117
Calls
4 calls:
4.0ms
(+ (* y y) (* x y))
12.0ms
(- (pow x 3) (pow y 3))
20.0ms
(* x (- (pow x 3) (pow y 3)))
22.0ms
(/ (* x (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* y y) (* x y))
8.0ms
(- (pow x 3) (pow y 3))
10.0ms
(* x (- (pow x 3) (pow y 3)))
19.0ms
(/ (* x (- (pow x 3) (pow y 3))) (+ (* x x) (+ (* y y) (* x y))))

simplify85.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0495916
12563816
25001810

prune183.0ms

Filtered
80 candidates to 129 candidates (-61.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh000
Picked011
Done022
Total1293132

Merged error: 0b

Counts
132 → 3

regimes150.0ms

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
094
194

end0.0ms

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
37.5%50%12.6%6
43.7%40.6%15.7%7
56.2%23.4%20.4%8
57.8%21.1%21.2%9
64%12.5%23.5%10
64.8%10.7%24.5%11
67.9%6.4%25.7%12
68.3%5.4%26.3%13
69.9%3.3%26.9%14

sample366.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid
4.0ms132×body80invalid

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