Details

Time bar (total: 2.9s)

analyze17.0ms (0.6%)

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

sample11.0ms (0.4%)

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
065
165

prune4.0ms (0.2%)

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 (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ y 500.0))

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
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:

5.0ms
(+ x (/ y 500.0))

series4.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

4.0ms
(+ x (/ y 500.0))

simplify51.0ms (1.7%)

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04907114
14907114

prune25.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y 500.0))
0.2b
(* y (/ y (* 500.0 500.0)))
2.7b
(- (* x x) (* y (/ y (* 500.0 500.0))))
27.9b
(/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- x (/ y 500.0)))

rewrite31.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
18×add-cube-cbrt
15×add-exp-log add-cbrt-cube
10×difference-of-squares
add-log-exp
associate-*r*
pow1 associate-/r*
distribute-lft-out--
flip3-- prod-exp flip-- cbrt-unprod
cbrt-undiv div-exp associate-*l* associate-/l*
sub-neg diff-log associate-/r/ div-inv associate-/l/ unswap-sqr
frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 97
Calls

4 calls:

11.0ms
(/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- x (/ y 500.0)))
7.0ms
(* y (/ y (* 500.0 500.0)))
6.0ms
(- x (/ y 500.0))
4.0ms
(- (* x x) (* y (/ y (* 500.0 500.0))))

series25.0ms (0.9%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- x (/ y 500.0)))
7.0ms
(- (* x x) (* y (/ y (* 500.0 500.0))))
4.0ms
(- x (/ y 500.0))
3.0ms
(* y (/ y (* 500.0 500.0)))

simplify64.0ms (2.2%)

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049731709
149731709

prune169.0ms (5.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh000
Picked101
Done011
Total1092111

Merged error: 0.0b

Counts
111 → 2

localize19.0ms (0.7%)

Local error

Found 4 expressions with local error:

2.7b
(- (* x x) (* y (/ y (* 500.0 500.0))))
3.7b
(- (pow x 3) (pow (/ y 500.0) 3))
27.9b
(* (/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- (pow x 3) (pow (/ y 500.0) 3))) (+ (* x x) (+ (* (/ y 500.0) (/ y 500.0)) (* x (/ y 500.0)))))
40.0b
(/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- (pow x 3) (pow (/ y 500.0) 3)))

rewrite135.0ms (4.7%)

Algorithm
rewrite-expression-head
Rules
453×add-sqr-sqrt
263×times-frac
192×difference-of-squares
160×*-un-lft-identity
144×unpow-prod-down cube-prod
105×associate-*l*
80×add-cube-cbrt sqr-pow
40×distribute-lft-out--
33×associate-/r*
11×add-exp-log add-cbrt-cube
difference-cubes add-log-exp
pow1
flip3-- flip--
associate-/r/
associate-*r* associate-/l*
cbrt-undiv frac-times sub-neg flip3-+ diff-log associate-*r/ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
distribute-rgt-in frac-2neg distribute-lft-in div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 334
Calls

4 calls:

50.0ms
(* (/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- (pow x 3) (pow (/ y 500.0) 3))) (+ (* x x) (+ (* (/ y 500.0) (/ y 500.0)) (* x (/ y 500.0)))))
32.0ms
(/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- (pow x 3) (pow (/ y 500.0) 3)))
24.0ms
(- (pow x 3) (pow (/ y 500.0) 3))
4.0ms
(- (* x x) (* y (/ y (* 500.0 500.0))))

series58.0ms (2%)

Counts
4 → 12
Calls

4 calls:

31.0ms
(* (/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- (pow x 3) (pow (/ y 500.0) 3))) (+ (* x x) (+ (* (/ y 500.0) (/ y 500.0)) (* x (/ y 500.0)))))
11.0ms
(/ (- (* x x) (* y (/ y (* 500.0 500.0)))) (- (pow x 3) (pow (/ y 500.0) 3)))
9.0ms
(- (pow x 3) (pow (/ y 500.0) 3))
7.0ms
(- (* x x) (* y (/ y (* 500.0 500.0))))

simplify96.0ms (3.3%)

Algorithm
egg-herbie
Counts
346 → 346
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0500411600

prune1.7s (60.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3460346
Fresh000
Picked011
Done011
Total3462348

Merged error: 0.0b

Counts
348 → 2

regimes135.0ms (4.7%)

Accuracy

Total 0.0b remaining (21.3%)

Threshold costs 0.0b (21.3%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms (0%)

sample280.0ms (9.7%)

Algorithm
intervals
Results
153.0ms8000×body80valid

Profiling

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