Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 2.5s)

start0.0ms (0%)

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

analyze18.0ms (0.7%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms 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)

sample872.0ms (34.8%)

Memory
32.5MiB live, 694.3MiB allocated; 276ms collecting garbage
Samples
471.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-mult!: 97.0ms (47.3% of total)
ival-div!: 74.0ms (36.1% of total)
ival-sub!: 33.0ms (16.1% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess24.0ms (1%)

Memory
-10.7MiB live, 33.1MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02262
19858
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.5%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series193.0ms (7.7%)

Memory
-11.9MiB live, 85.8MiB allocated; 33ms 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
9.0ms
y
-inf
2.0ms
x
-inf
2.0ms
x
inf
1.0ms
x
0
1.0ms
y
inf

rewrite198.0ms (7.9%)

Memory
18.6MiB live, 64.2MiB allocated; 11ms 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))

eval5.0ms (0.2%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 360 to 107 computations (70.3% saved)

prune3.0ms (0.1%)

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New22426
Fresh000
Picked011
Done000
Total22527
Accuracy
100.0%
Counts
27 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
80.5%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
86.6%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x))
52.1%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
49.7%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 63 to 47 computations (25.4% saved)

series138.0ms (5.5%)

Memory
-32.3MiB live, 112.7MiB allocated; 16ms collecting garbage
Counts
18 → 28
Calls
Call 1
Inputs
#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
#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))
(/.f64 x 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)
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 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 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 (/ (- 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 y 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 (- 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
x
0
3.0ms
x
-inf
2.0ms
x
inf
2.0ms
y
-inf
2.0ms
y
0

rewrite196.0ms (7.8%)

Memory
11.8MiB live, 198.8MiB allocated; 36ms collecting garbage
Counts
18 → 49
Calls
Call 1
Inputs
#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
#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))
(/.f64 x 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)
Outputs
#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))
x
#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))
#s(literal 1/2 binary64)
(neg.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))
(*.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)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(/.f64 (neg.f64 x) (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))

eval7.0ms (0.3%)

Memory
21.7MiB live, 21.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 118 to 246 computations (78% saved)

prune9.0ms (0.3%)

Memory
-32.3MiB live, 11.3MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New63265
Fresh000
Picked134
Done011
Total64670
Accuracy
100.0%
Counts
70 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
80.5%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
39.3%
(/.f64 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
86.6%
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
52.1%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
49.7%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 77 to 58 computations (24.7% saved)

series167.0ms (6.7%)

Memory
14.4MiB live, 96.7MiB allocated; 50ms collecting garbage
Counts
12 → 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)
(/.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))
(/.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 (/ (- 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 (/ 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 (/ (- 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) 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 (/ (- 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) (* 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))))))
Calls

6 calls:

TimeVariablePoint
4.0ms
y
0
2.0ms
y
-inf
2.0ms
x
-inf
1.0ms
y
inf
1.0ms
x
inf

rewrite182.0ms (7.3%)

Memory
19.0MiB live, 131.0MiB allocated; 79ms collecting garbage
Counts
12 → 26
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)
(/.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))
(/.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)
(/.f64 #s(approx (/ (- x y) (* x 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)) y)
#s(approx (/ (- x y) (* x 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))
(*.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))

eval5.0ms (0.2%)

Memory
-38.9MiB live, 8.5MiB allocated; 3ms collecting garbage
Compiler

Compiled 756 to 154 computations (79.6% saved)

prune3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New37138
Fresh000
Picked022
Done044
Total37744
Accuracy
100.0%
Counts
44 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
80.5%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
39.3%
(/.f64 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
86.6%
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
38.6%
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))
52.1%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
49.7%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 102 to 76 computations (25.5% saved)

series136.0ms (5.4%)

Memory
22.1MiB live, 68.2MiB allocated; 5ms collecting garbage
Counts
8 → 14
Calls
Call 1
Inputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))
(/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
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 (* 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)) 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 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) 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)
Calls

6 calls:

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

rewrite206.0ms (8.2%)

Memory
-25.2MiB live, 69.7MiB allocated; 73ms collecting garbage
Counts
8 → 14
Calls
Call 1
Inputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))
(/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x)
#s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
#s(literal 1/2 binary64)
(/.f64 x y)
x
y
Outputs
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(approx (+ (/ (* x 1/2) y) -1/2) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) x))
(/.f64 #s(approx (+ (/ (* x 1/2) y) -1/2) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y)) x)
#s(approx (+ (/ (* x 1/2) y) -1/2) (/.f64 (*.f64 x #s(literal 1/2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(/.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

eval3.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 575 to 116 computations (79.8% saved)

prune3.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New23023
Fresh000
Picked011
Done066
Total23730
Accuracy
100.0%
Counts
30 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.6%
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
80.5%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
39.3%
(/.f64 #s(approx (/ (- x y) (* x 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
86.6%
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
38.6%
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))
52.1%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
49.7%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 102 to 76 computations (25.5% saved)

regimes35.0ms (1.4%)

Memory
3.4MiB live, 49.6MiB allocated; 3ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
4 → 3
5 → 3
7 → 5
8 → 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))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x y))) x))
(/.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))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x 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)) 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))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x 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)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.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))
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 (-.f64 x y) (*.f64 (*.f64 x #s(literal 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))
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 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 5
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))
#s(approx (/ (/ (- x y) (* x 2)) y) (/.f64 #s(approx (+ (* (/ x y) 1/2) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x 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)) y) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
(/.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)
Outputs
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 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))
(/.f64 (/.f64 (-.f64 x y) (*.f64 x #s(literal 2 binary64))) y)
Calls

14 calls:

3.0ms
y
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
3.0ms
y
Results
AccuracySegmentsBranch
49.7%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
49.7%1y
49.7%1x
63.6%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
79.3%3x
76.5%3y
95.6%3y
90.8%3(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
99.6%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
95.6%3y
94.9%3x
98.9%4(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
100.0%3x
99.9%3y
Compiler

Compiled 175 to 95 computations (45.7% saved)

bsearch23.0ms (0.9%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
4.1581873048852414e+30
5.837601122662647e+43
9.0ms
-1.0716509925538968e-21
-1.7849204965102943e-24
Samples
10.0ms288×0valid
Compiler

Compiled 498 to 408 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult!: 2.0ms (43.2% of total)
ival-sub!: 1.0ms (21.6% of total)
ival-div!: 1.0ms (21.6% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1085511578179963e+303
+inf
0.0ms
123485965263152.9
4002127782500231700.0
0.0ms
-2.0592039097420856e+131
-3.0144432813357106e+127
0.0ms
-inf
-3.337625585572303e+306
Compiler

Compiled 12 to 12 computations (0% saved)

bsearch20.0ms (0.8%)

Memory
-27.0MiB live, 19.2MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
1.534917475171659e-134
1.121500505728761e-133
11.0ms
-1.3909867460281222e-187
-2.374567389350237e-190
Samples
10.0ms224×0valid
Compiler

Compiled 446 to 362 computations (18.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (55.4% of total)
ival-sub!: 1.0ms (27.7% of total)
ival-div!: 1.0ms (27.7% of total)
adjust: 0.0ms (0% of total)

bsearch15.0ms (0.6%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
4.236899142404756e+25
3.5357136189667576e+28
5.0ms
-2.408781912936717e+28
-1.6905589810159068e+28
Samples
7.0ms192×0valid
Compiler

Compiled 324 to 276 computations (14.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult!: 2.0ms (66% of total)
ival-sub!: 1.0ms (33% of total)
ival-div!: 1.0ms (33% of total)
adjust: 0.0ms (0% of total)

derivations2.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 281 to 56 computations (80.1% saved)

preprocess42.0ms (1.7%)

Memory
-22.0MiB live, 73.6MiB allocated; 16ms collecting garbage
Compiler

Compiled 290 to 63 computations (78.3% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...