Details

Time bar (total: 1.2s)

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
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
4.0ms254×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms2×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01725
11725

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 500.0 (- 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×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:
6.0ms
(* 500.0 (- x y))

series5.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04952172
14952172

prune34.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 500.0 (- (* x x) (* y y)))
3.0b
(- (* x x) (* y y))
28.0b
(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*r/ associate-*r* associate-/r*
3×sub-neg flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
6.0ms
(* 500.0 (- (* x x) (* y y)))
4.0ms
(- (* x x) (* y y))
9.0ms
(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

series24.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* 500.0 (- (* x x) (* y y)))
6.0ms
(- (* x x) (* y y))
10.0ms
(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04970691
14970691

prune62.0ms

Filtered
47 candidates to 71 candidates (-51.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New70171
Fresh112
Picked011
Done011
Total71475

Merged error: 0b

Counts
75 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.3b
(/ 500.0 (/ 1 (- x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip inv-pow
Counts
2 → 145
Calls
2 calls:
7.0ms
(/ 1 (- x y))
9.0ms
(/ 500.0 (/ 1 (- x y)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- x y))
4.0ms
(/ 500.0 (/ 1 (- x y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
054031638

prune125.0ms

Filtered
84 candidates to 151 candidates (-79.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1510151
Fresh011
Picked011
Done022
Total1514155

Merged error: 0b

Counts
155 → 4

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.0b
(sqrt (- x y))
0.1b
(* 500.0 (sqrt (- x y)))
0.2b
(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×sqrt-prod
19×*-un-lft-identity
18×sqrt-div
16×associate-*r*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
3.0ms
(sqrt (- x y))
3.0ms
(sqrt (- x y))
7.0ms
(* 500.0 (sqrt (- x y)))
12.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

series37.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (- x y))
9.0ms
(sqrt (- x y))
11.0ms
(* 500.0 (sqrt (- x y)))
7.0ms
(* (* 500.0 (sqrt (- x y))) (sqrt (- x y)))

simplify31.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05006936

prune109.0ms

Filtered
66 candidates to 103 candidates (-56.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done033
Total1034107

Merged error: 0b

Counts
107 → 4

regimes151.0ms

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 (1.0ms)

IterNodesCost
0165
1165

end0.0ms

sample259.0ms

Algorithm
intervals
Results
138.0ms7973×body80valid
1.0ms71×body80invalid
1.0ms13×body1280valid
1.0ms6×body2560valid
0.0ms4×body640valid
0.0ms4×body320valid

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