Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze49.0ms (1.6%)

Memory
6.5MiB live, 51.9MiB allocated; 10ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.2s (37.5%)

Memory
28.9MiB live, 1 300.8MiB allocated; 287ms collecting garbage
Samples
817.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 500.0ms
ival-mult: 199.0ms (39.8% of total)
ival-sub: 163.0ms (32.6% of total)
ival-div: 127.0ms (25.4% of total)
exact: 6.0ms (1.2% of total)
adjust: 3.0ms (0.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain273.0ms (8.7%)

Memory
-42.1MiB live, 172.6MiB allocated; 108ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
550-1(-2.751040436552218e-69 -1.5325016879215243e-248)(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/o290
(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow29
/.f64(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))n/u250
(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow25
Confusion
Predicted +Predicted -
+541
-0201
Precision
1.0
Recall
0.9818181818181818
Confusion?
Predicted +Predicted MaybePredicted -
+5401
-00201
Precision?
1.0
Recall?
0.9818181818181818
Freqs
test
numberfreq
0202
154
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
103.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 35.0ms (78.6% of total)
ival-sub: 4.0ms (9% of total)
ival-div: 4.0ms (9% of total)
ival-true: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess213.0ms (6.8%)

Memory
20.9MiB live, 160.0MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02262
17058
225142
392742
4252942
5787142
079
0119
1229
2587
31557
44267
532457
082777
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify194.0ms (6.2%)

Memory
2.5MiB live, 139.5MiB allocated; 18ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
cost-diff0
(-.f64 x y)
cost-diff2
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0723
01123
12223
25821
315521
442621
5324521
0827721
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 x y)
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize58.0ms (1.8%)

Memory
-21.5MiB live, 125.5MiB allocated; 16ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy12.897872515799138
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Samples
48.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (63.9% of total)
ival-sub: 3.0ms (16% of total)
ival-div: 3.0ms (16% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.4%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Counts
4 → 15
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
3.0ms
x
@0
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
2.0ms
y
@-inf
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
2.0ms
x
@-inf
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))
1.0ms
y
@inf
((/ (- x y) (* (* x 2) y)) (- x y) (* (* x 2) y) (* x 2))

simplify156.0ms (4.9%)

Memory
-17.1MiB live, 167.6MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058154
1142154
2395138
31358138
47638138
08102138
Stop Event
iter limit
node limit
Counts
15 → 15
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (* x 2) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* (* x 2) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) x)
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- x y) (-.f64 x y))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- x y) (-.f64 x y))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x y) (-.f64 x y))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) (-.f64 x y))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (- x y) (-.f64 x y))

rewrite71.0ms (2.3%)

Memory
-24.5MiB live, 77.6MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
13820
022720
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
4 → 35
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(-.f64 x y)
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 x #s(literal 2 binary64))
Outputs
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (/.f64 (-.f64 x y) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y))) (*.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))) (+.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (fma.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (-.f64 x y))) (neg.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) y)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) y)
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (-.f64 x y)) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(neg.f64 (/.f64 (neg.f64 (-.f64 x y)) (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(neg.f64 (/.f64 (-.f64 x y) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y))))
(-.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 x y)
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 x x)

eval20.0ms (0.6%)

Memory
46.2MiB live, 46.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 667 to 139 computations (79.2% saved)

prune12.0ms (0.4%)

Memory
-32.9MiB live, 10.2MiB allocated; 12ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New38543
Fresh000
Picked101
Done000
Total39544
Accuracy
100.0%
Counts
44 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
79.8%
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
50.2%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
50.9%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
100.0%
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
Compiler

Compiled 122 to 90 computations (26.2% saved)

simplify193.0ms (6.1%)

Memory
22.8MiB live, 215.5MiB allocated; 35ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) y)
cost-diff2
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
cost-diff0
(+.f64 x x)
cost-diff0
(*.f64 (+.f64 x x) y)
cost-diff0
(-.f64 x y)
cost-diff2
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(/.f64 #s(literal -1/2 binary64) y)
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
cost-diff0
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023114
034114
161114
2107104
3207104
4539104
54003104
08228104
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 #s(literal -1/2 binary64) y)
y
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
x
y
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) y)
(-.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(/.f64 #s(literal -1/2 binary64) y)
y
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(-.f64 x y)
x
y
(*.f64 (+.f64 x x) y)
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 x y) y)
(-.f64 x y)
x
y
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize52.0ms (1.6%)

Memory
17.7MiB live, 109.3MiB allocated; 6ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x y)
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.0078125
(/.f64 (-.f64 x y) y)
accuracy8.35926494545352
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(-.f64 x y)
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 (+.f64 x x) y)
accuracy12.897872515799138
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
accuracy0.0
(/.f64 #s(literal 1/2 binary64) y)
accuracy31.867248781887287
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) x)
accuracy31.445165032627603
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) y)
accuracy0.0
(/.f64 #s(literal -1/2 binary64) x)
accuracy0.0
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
accuracy0.0078125
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
Samples
36.0ms256×0valid
Compiler

Compiled 100 to 21 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (46.2% of total)
ival-mult: 6.0ms (25.2% of total)
ival-sub: 3.0ms (12.6% of total)
ival-add: 3.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory
-32.8MiB live, 22.4MiB allocated; 5ms collecting garbage
Counts
14 → 40
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) y)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) y)
(*.f64 #s(literal 2 binary64) x)
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ (- x y) y) #s(hole binary64 -1))
#s(approx (/ (- x y) y) #s(hole binary64 (- (/ x y) 1)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) y) #s(hole binary64 (/ x y)))
#s(approx (/ (- x y) y) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (- x y) y) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ (- x y) y) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) (/ -1/2 y) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))
2.0ms
x
@inf
((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) (/ -1/2 y) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))
2.0ms
x
@-inf
((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) (/ -1/2 y) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))
2.0ms
y
@0
((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) (/ -1/2 y) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))
1.0ms
y
@-inf
((/ (- x y) (* (* x 2) y)) (- (/ -1/2 x) (/ -1/2 y)) (/ -1/2 x) (/ -1/2 y) (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ x x) y)) (- x y) (* (+ x x) y) (+ x x) (/ (/ (- x y) y) (* 2 x)) (/ (- x y) y) (* 2 x))

simplify143.0ms (4.5%)

Memory
28.1MiB live, 167.0MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096491
1199491
2485427
31607427
08392427
Stop Event
iter limit
node limit
Counts
40 → 40
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ (- x y) y) #s(hole binary64 -1))
#s(approx (/ (- x y) y) #s(hole binary64 (- (/ x y) 1)))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) y) #s(hole binary64 (/ x y)))
#s(approx (/ (- x y) y) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (/ (- x y) y) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ (- x y) y) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- x y) #s(hole binary64 (* -1 y)))
#s(approx (- x y) (neg.f64 y))
#s(approx (- x y) #s(hole binary64 (- x y)))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (+ x x) y) #s(hole binary64 (* 2 (* x y))))
#s(approx (* (+ x x) y) (*.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ -1/2 x)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ (- (* 1/2 (/ x y)) 1/2) x)))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) y) #s(hole binary64 -1))
#s(approx (/ (- x y) y) #s(literal -1 binary64))
#s(approx (/ (- x y) y) #s(hole binary64 (- (/ x y) 1)))
#s(approx (/ (- x y) y) (/.f64 (-.f64 x y) y))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- x y) #s(hole binary64 x))
#s(approx (- x y) x)
#s(approx (- x y) #s(hole binary64 (* x (+ 1 (* -1 (/ y x))))))
#s(approx (- x y) (-.f64 x y))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ (- x y) (* (+ x x) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x)))))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) y) #s(hole binary64 (/ x y)))
#s(approx (/ (- x y) y) (/.f64 x y))
#s(approx (/ (- x y) y) #s(hole binary64 (* x (- (/ 1 y) (/ 1 x)))))
#s(approx (/ (- x y) y) (/.f64 (-.f64 x y) y))
#s(approx (- x y) #s(hole binary64 (* -1 (* x (- (/ y x) 1)))))
#s(approx (- x y) (-.f64 x y))
#s(approx (/ (- x y) y) #s(hole binary64 (* -1 (* x (- (/ 1 x) (/ 1 y))))))
#s(approx (/ (- x y) y) (/.f64 (-.f64 x y) y))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- (/ -1/2 x) (/ -1/2 y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx (/ -1/2 y) (/.f64 #s(literal -1/2 binary64) y))
#s(approx (/ 1/2 y) #s(hole binary64 (/ 1/2 y)))
#s(approx (/ 1/2 y) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (+ x x) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- x y) #s(hole binary64 (+ x (* -1 y))))
#s(approx (- x y) (-.f64 x y))
#s(approx (/ (/ (- x y) y) (* 2 x)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx (/ (- x y) (* (+ x x) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ (- x y) y) #s(hole binary64 (/ (+ x (* -1 y)) y)))
#s(approx (/ (- x y) y) (/.f64 (-.f64 x y) y))
#s(approx (- x y) #s(hole binary64 (* y (- (/ x y) 1))))
#s(approx (- x y) (-.f64 x y))
#s(approx (- x y) #s(hole binary64 (* -1 (* y (+ 1 (* -1 (/ x y)))))))
#s(approx (- x y) (-.f64 x y))

rewrite42.0ms (1.3%)

Memory
-14.7MiB live, 36.9MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02396
03496
011296
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
14 → 46
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal -1/2 binary64) y)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(-.f64 x y)
(*.f64 (+.f64 x x) y)
(+.f64 x x)
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) y)
(*.f64 #s(literal 2 binary64) x)
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x)) (*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) y) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) x) (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x y))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 y))
(/.f64 #s(literal -1/2 binary64) y)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64)) x)
(/.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) y)
(/.f64 (neg.f64 (/.f64 (-.f64 x y) y)) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(-.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(-.f64 x y)
(*.f64 (*.f64 #s(literal 2 binary64) x) y)
(*.f64 y (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)
(/.f64 (/.f64 (/.f64 (-.f64 x y) y) #s(literal 2 binary64)) x)
(/.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal 2 binary64) x)) y)
(/.f64 (neg.f64 (/.f64 (-.f64 x y) y)) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (*.f64 #s(literal 2 binary64) x) y))
(-.f64 (/.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) y)) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) x) y)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))
(/.f64 (-.f64 x y) y)
(-.f64 (/.f64 x y) (/.f64 y y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(+.f64 x x)

eval5.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 836 to 161 computations (80.7% saved)

prune35.0ms (1.1%)

Memory
-34.0MiB live, 11.9MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New57057
Fresh000
Picked055
Done000
Total57562
Accuracy
100.0%
Counts
62 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.9%
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
79.8%
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
50.2%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
50.9%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
100.0%
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
Compiler

Compiled 131 to 72 computations (45% saved)

regimes7.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(/.f64 (/.f64 (-.f64 x y) y) (*.f64 #s(literal 2 binary64) x))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
Calls

3 calls:

2.0ms
y
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
100.0%1x
100.0%1y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes6.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
4 → 5
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
90.1%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
88.2%5x
90.5%5y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes16.0ms (0.5%)

Memory
-34.4MiB live, 12.0MiB allocated; 4ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

13.0ms
x
1.0ms
y
1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
74.9%3x
62.4%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
80.1%3y
Compiler

Compiled 11 to 11 computations (0% saved)

regimes4.0ms (0.1%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

1.0ms
y
1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
x
Results
AccuracySegmentsBranch
50.9%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
50.9%1x
50.9%1y
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch86.0ms (2.7%)

Memory
28.9MiB live, 124.8MiB allocated; 41ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
9.73616435706002e+135
7.158393480790287e+136
12.0ms
4.572157647568551e-225
5.12766663991967e-220
15.0ms
-7.272111287221915e-208
-1.1118797762362097e-213
10.0ms
-5.102410194018755e+166
-2.140037086227295e+164
Samples
49.0ms496×0valid
Compiler

Compiled 694 to 570 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 31.0ms (82.3% of total)
ival-sub: 3.0ms (8% of total)
ival-div: 3.0ms (8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch35.0ms (1.1%)

Memory
-5.0MiB live, 42.2MiB allocated; 10ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
1.7726729507932428e+37
6.015502666532741e+40
22.0ms
-1.894932429325218e+60
-1.6819927730282847e+59
Samples
11.0ms224×0valid
Compiler

Compiled 376 to 320 computations (14.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (50.2% of total)
ival-sub: 1.0ms (16.7% of total)
ival-div: 1.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify93.0ms (3%)

Memory
11.4MiB live, 90.9MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038138
156138
2102138
3202138
4517138
54531138
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal -220000000000000005507009813527063712227648914925786739302046558036573639832780660486712172640729443424838692738911397666676820770582193923500220356101566230119317504 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -1388059340984263/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 3243148194092489/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 67999999999999999341106385808597352956487381869080296045566825016864462098779104371466752803823326077305770651579554411136544753649188864 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -600000000000000005313473495893408346635336242845424453419008 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 8499999999999999714201505336369988239360 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)))
(if (<=.f64 y #s(literal -220000000000000005507009813527063712227648914925786739302046558036573639832780660486712172640729443424838692738911397666676820770582193923500220356101566230119317504 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal -1388059340984263/2891790293717214716875887454417538932071786405736015385275803577203398482289867263903614895099115516898199414270242812495998255990659472330369590362610632812985135197678301307466375242232528412389127536106326559094512549888 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) (if (<=.f64 y #s(literal 3243148194092489/6359114106063703798370219984742410466332205126109989319225557147754704702203399726411277962562135973685197744935448875852478791860694279747355800678568677946181447581781401213133886609947027230004277244697462656003657100713230572978176 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) (if (<=.f64 y #s(literal 67999999999999999341106385808597352956487381869080296045566825016864462098779104371466752803823326077305770651579554411136544753649188864 binary64)) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 y #s(literal -600000000000000005313473495893408346635336242845424453419008 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 y #s(literal 8499999999999999714201505336369988239360 binary64)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))))
(if (or (<=.f64 y #s(literal -600000000000000005313473495893408346635336242845424453419008 binary64)) (not (<=.f64 y #s(literal 8499999999999999714201505336369988239360 binary64)))) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x)) #s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))

derivations147.0ms (4.7%)

Memory
-31.8MiB live, 114.4MiB allocated; 42ms collecting garbage
Stop Event
done
Compiler

Compiled 138 to 39 computations (71.7% saved)

preprocess28.0ms (0.9%)

Memory
25.6MiB live, 71.4MiB allocated; 6ms collecting garbage
Compiler

Compiled 308 to 104 computations (66.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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