Details

Time bar (total: 1.7s)

analyze18.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14

sample18.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
062
162

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
(+ x (/ y 500.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ y 500.0))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ x (/ y 500.0))

simplify120.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
07958
120353
247753
3128453
4389553
5500253

prune21.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New13215
Fresh000
Picked011
Done000
Total13316

Merged error: 0.0b

Counts
16 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ y 500.0) (/ y 500.0))
3.4b
(- (* x x) (* (/ y 500.0) (/ y 500.0)))
31.0b
(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- x (/ y 500.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
69×times-frac
53×*-un-lft-identity
43×add-cube-cbrt
18×difference-of-squares
17×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
6×associate-/r*
5×cbrt-undiv div-exp div-inv distribute-lft-out-- add-log-exp
4×prod-exp cbrt-unprod associate-/l* unswap-sqr
3×flip3-- flip--
2×associate-/r/ associate-/l/
1×pow2 frac-times sub-neg frac-2neg pow-plus diff-log div-sub associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up
Counts
3 → 131
Calls
3 calls:
10.0ms
(* (/ y 500.0) (/ y 500.0))
3.0ms
(- (* x x) (* (/ y 500.0) (/ y 500.0)))
14.0ms
(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- x (/ y 500.0)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (/ y 500.0) (/ y 500.0))
7.0ms
(- (* x x) (* (/ y 500.0) (/ y 500.0)))
11.0ms
(/ (- (* x x) (* (/ y 500.0) (/ y 500.0))) (- x (/ y 500.0)))

simplify128.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
06261203
132971075
250011057

prune173.0ms

Filtered
99 candidates to 140 candidates (-41.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1391140
Fresh101
Picked011
Done011
Total1403143

Merged error: 0.0b

Counts
143 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ y (sqrt 500.0))
0.3b
(* (/ y (sqrt 500.0)) (/ y (sqrt 500.0)))
3.4b
(- (* x x) (* (/ (/ 1 (sqrt 500.0)) (sqrt 500.0)) (* (/ y (sqrt 500.0)) (/ y (sqrt 500.0)))))
31.0b
(/ (- (* x x) (* (/ (/ 1 (sqrt 500.0)) (sqrt 500.0)) (* (/ y (sqrt 500.0)) (/ y (sqrt 500.0))))) (- x (/ y 500.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
148×add-sqr-sqrt
136×times-frac
94×*-un-lft-identity
86×add-cube-cbrt
60×sqrt-prod
28×swap-sqr
22×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
12×associate-/r*
11×pow1
9×unswap-sqr
8×difference-of-squares
6×cbrt-undiv div-exp div-inv associate-/l* add-log-exp
4×prod-exp cbrt-unprod distribute-lft-out--
3×flip3-- flip--
2×frac-2neg clear-num associate-/r/ associate-/l/
1×pow2 frac-times sub-neg pow-plus diff-log div-sub associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 200
Calls
4 calls:
4.0ms
(/ y (sqrt 500.0))
17.0ms
(* (/ y (sqrt 500.0)) (/ y (sqrt 500.0)))
3.0ms
(- (* x x) (* (/ (/ 1 (sqrt 500.0)) (sqrt 500.0)) (* (/ y (sqrt 500.0)) (/ y (sqrt 500.0)))))
12.0ms
(/ (- (* x x) (* (/ (/ 1 (sqrt 500.0)) (sqrt 500.0)) (* (/ y (sqrt 500.0)) (/ y (sqrt 500.0))))) (- x (/ y 500.0)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ y (sqrt 500.0))
11.0ms
(* (/ y (sqrt 500.0)) (/ y (sqrt 500.0)))
15.0ms
(- (* x x) (* (/ (/ 1 (sqrt 500.0)) (sqrt 500.0)) (* (/ y (sqrt 500.0)) (/ y (sqrt 500.0)))))
32.0ms
(/ (- (* x x) (* (/ (/ 1 (sqrt 500.0)) (sqrt 500.0)) (* (/ y (sqrt 500.0)) (/ y (sqrt 500.0))))) (- x (/ y 500.0)))

simplify104.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07662617
138322309
250022165

prune427.0ms

Filtered
131 candidates to 212 candidates (-61.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2120212
Fresh000
Picked011
Done022
Total2123215

Merged error: 0.0b

Counts
215 → 3

regimes146.0ms

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
062
162

end0.0ms

analyze16.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14

sample275.0ms

Algorithm
intervals
Results
155.0ms8000×body80valid

Profiling

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