Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 2.1s)

start0.0ms (0%)

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

analyze20.0ms (1%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample664.0ms (32.3%)

Memory
-33.0MiB live, 588.5MiB allocated; 199ms collecting garbage
Samples
425.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-mult!: 86.0ms (55.7% of total)
ival-div!: 38.0ms (24.6% of total)
ival-sub!: 29.0ms (18.8% of total)
adjust: 2.0ms (1.3% of total)
Bogosity

preprocess53.0ms (2.6%)

Memory
-8.5MiB live, 38.2MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02260
19854
251642
3500642
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.5%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series76.0ms (3.7%)

Memory
31.6MiB live, 77.5MiB allocated; 11ms collecting garbage
Counts
7 → 16
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
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (-.f64 x y))
#s(approx x x)
#s(approx (* (* x 2) y) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
#s(approx (* x 2) (*.f64 #s(literal 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 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- x y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
#s(approx (- x y) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx y y)
#s(approx (- x y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
Calls

6 calls:

TimeVariablePoint
2.0ms
y
-inf
2.0ms
x
-inf
2.0ms
x
inf
1.0ms
x
0
1.0ms
y
inf

rewrite147.0ms (7.2%)

Memory
14.7MiB live, 107.9MiB allocated; 64ms collecting garbage
Counts
7 → 17
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 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) y)))
(-.f64 (/.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y)))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(neg.f64 (-.f64 y x))
x
y
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))

eval3.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 360 to 107 computations (70.3% saved)

prune6.0ms (0.3%)

Memory
-41.3MiB live, 5.2MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New21526
Fresh000
Picked011
Done000
Total21627
Accuracy
100.0%
Counts
27 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.6%
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
✓75.5%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
▶87.9%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x))
▶86.3%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
▶49.4%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶52.2%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 155 to 115 computations (25.8% saved)

series91.0ms (4.4%)

Memory
31.7MiB live, 77.2MiB allocated; 13ms collecting garbage
Counts
23 → 29
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
x
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)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(-.f64 x y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 y x)
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x))
#s(approx (- (* 1/2 (/ x y)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* 1/2 (/ x y)) 1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (/ x y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
#s(approx (/ (- x y) (* x 2)) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (-.f64 x y))
#s(approx (* x 2) (*.f64 #s(literal 2 binary64) x))
#s(approx (/ y x) (/.f64 y x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (* 1/2 (/ x y)) 1/2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (- x y) (* x 2)) #s(literal 1/2 binary64))
#s(approx (/ (- x y) (* x 2)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
#s(approx (- x y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (- (* 1/2 (/ x y)) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64)))))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
#s(approx (- (* 1/2 (/ x y)) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) y))
#s(approx y y)
#s(approx (- x y) (+.f64 x (*.f64 #s(literal -1 binary64) y)))
#s(approx (/ (- x y) (* x 2)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- x y) (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))))
#s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))
#s(approx (- x y) (*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y))))))
Calls

6 calls:

TimeVariablePoint
5.0ms
y
inf
3.0ms
x
-inf
3.0ms
y
-inf
2.0ms
x
0
2.0ms
x
inf

rewrite160.0ms (7.8%)

Memory
-21.8MiB live, 169.7MiB allocated; 21ms collecting garbage
Counts
23 → 67
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
x
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)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(-.f64 x y)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(/.f64 y x)
Outputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) x) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
#s(literal 1/2 binary64)
(neg.f64 #s(literal -1/2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
x
y
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
#s(literal -1/2 binary64)
(neg.f64 #s(literal 1/2 binary64))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(*.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) y)))
(-.f64 (/.f64 x (*.f64 (*.f64 x #s(literal 2 binary64)) y)) (/.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) y)))
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y)))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))))
(-.f64 (/.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 x y) x) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 x (neg.f64 y))
(-.f64 x y)
(neg.f64 (-.f64 y x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) y))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(/.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) y))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal -1/2 binary64) y) x)
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))

eval26.0ms (1.2%)

Memory
22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 518 to 314 computations (79.3% saved)

prune7.0ms (0.3%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh000
Picked325
Done101
Total86591
Accuracy
100.0%
Counts
91 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶38.5%
(/.f64 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
▶86.3%
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
▶87.9%
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
✓49.4%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓52.2%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 77 to 57 computations (26% saved)

series116.0ms (5.6%)

Memory
-25.7MiB live, 110.1MiB allocated; 28ms collecting garbage
Counts
15 → 21
Calls
Call 1
Inputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y x)
(/.f64 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
#s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
Outputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (/ x y) 1/2) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (/ x y) 1/2) -1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (+ (* (/ y x) -1/2) 1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
#s(approx (+ (* (/ y x) -1/2) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (/ y x) (/.f64 y x))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (/ (- x y) (* x 2)) y) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) -1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
#s(approx (+ (* (/ x y) 1/2) -1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1/2 binary64) x)) y))
#s(approx y y)
#s(approx (+ (* (/ y x) -1/2) 1/2) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (/ y x) -1/2) 1/2) (*.f64 #s(literal -1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))))
Calls

6 calls:

TimeVariablePoint
5.0ms
x
inf
3.0ms
y
-inf
3.0ms
x
-inf
3.0ms
y
inf
2.0ms
y
0

rewrite508.0ms (24.7%)

Memory
-18.5MiB live, 158.6MiB allocated; 884ms collecting garbage
Counts
15 → 38
Calls
Call 1
Inputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 y x)
(/.f64 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
#s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
Outputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) x) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 (neg.f64 x) (neg.f64 y))
x
y
#s(literal 1/2 binary64)
(neg.f64 #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 #s(literal 1/2 binary64))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) y) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(/.f64 (neg.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 y))
(+.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(-.f64 (/.f64 (*.f64 y #s(literal -1/2 binary64)) x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 #s(approx (/ (- x y) (* x 2)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x)) y)
#s(approx (/ (- x y) (* x 2)) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal -1/2 binary64))
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) y) x)

eval10.0ms (0.5%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 159 to 217 computations (81.3% saved)

prune5.0ms (0.3%)

Memory
7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New56056
Fresh000
Picked033
Done022
Total56561
Accuracy
100.0%
Counts
61 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓38.5%
(/.f64 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
✓86.3%
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓87.9%
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
✓49.4%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓52.2%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 77 to 57 computations (26% saved)

regimes34.0ms (1.6%)

Memory
-21.4MiB live, 43.3MiB allocated; 10ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
3 → 3
4 → 3
9 → 3
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))
Call 2
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 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
Outputs
#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) y))
Call 3
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 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
Outputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #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 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
Call 4
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 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x))
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
Outputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
Calls

11 calls:

13.0ms
y
3.0ms
x
3.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
52.2%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
52.2%1y
52.2%1x
80.0%3x
55.7%2(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
76.8%3y
94.7%3x
95.7%3y
98.3%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
99.9%3x
99.9%3y
Compiler

Compiled 168 to 77 computations (54.2% saved)

bsearch25.0ms (1.2%)

Memory
-7.2MiB live, 39.5MiB allocated; 2ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
5.934394086713635e-43
1.3241507426466243e-40
10.0ms
-9.784610466545188e-93
-8.291016757801725e-95
Samples
11.0ms224×0valid
Compiler

Compiled 516 to 404 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult!: 3.0ms (54.3% of total)
ival-sub!: 1.0ms (18.1% of total)
ival-div!: 1.0ms (18.1% of total)
adjust: 0.0ms (0% of total)

bsearch44.0ms (2.1%)

Memory
-15.4MiB live, 77.5MiB allocated; 12ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
4.2555015843847695e-172
5.367998226472143e-158
17.0ms
-1.0370468684439611e-131
-1.08755159717693e-133
Samples
18.0ms272×0valid
Compiler

Compiled 539 to 437 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 4.0ms (51.5% of total)
ival-sub!: 2.0ms (25.7% of total)
ival-div!: 2.0ms (25.7% of total)
adjust: 0.0ms (0% of total)

bsearch27.0ms (1.3%)

Memory
19.2MiB live, 64.6MiB allocated; 5ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
4.22343371037419e+61
4.447843478766385e+69
11.0ms
-235.72672689389043
-1.3398963897029635e-9
Samples
14.0ms304×0valid
Compiler

Compiled 506 to 430 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub!: 4.0ms (50.4% of total)
ival-mult!: 3.0ms (37.8% of total)
ival-div!: 1.0ms (12.6% of total)
adjust: 0.0ms (0% of total)

derivations1.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 179 to 41 computations (77.1% saved)

preprocess33.0ms (1.6%)

Memory
-12.7MiB live, 78.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 188 to 48 computations (74.5% saved)

end0.0ms (0%)

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

Profiling

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