Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 1.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze23.0ms (1.6%)

Memory
2.8MiB live, 47.0MiB allocated; 7ms 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)

sample950.0ms (66%)

Memory
18.7MiB live, 997.2MiB allocated; 318ms collecting garbage
Samples
503.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 295.0ms
ival-sub!: 114.0ms (38.6% of total)
ival-mult!: 109.0ms (36.9% of total)
ival-div!: 71.0ms (24% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

preprocess82.0ms (5.7%)

Memory
-12.4MiB live, 35.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02260
110154
250742
3401442
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.6%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 14 to 14 computations (0% saved)

series10.0ms (0.7%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms 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)) #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 #s(hole binary64 x))
#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 (+ 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 y #s(hole binary64 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
2.0ms
y
@-inf
((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms
x
@-inf
((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
2.0ms
x
@inf
((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
1.0ms
x
@0
((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)
1.0ms
y
@inf
((/ (- x y) (* (* x 2) y)) (- x y) x y (* (* x 2) y) (* x 2) 2)

rewrite94.0ms (6.5%)

Memory
16.4MiB live, 103.8MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063207
068194
1325192
02548190
17424190
Stop Event
1×saturated
1×iter-limit
1×node-limit
1×iter-limit
Counts
23 → 70
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)
#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 #s(hole binary64 x))
#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 (+ 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 y #s(hole binary64 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
(*.f64 (/.f64 (-.f64 x y) (+.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (-.f64 x y))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(/.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) (*.f64 (+.f64 x x) y))
(/.f64 (/.f64 (-.f64 x y) y) (+.f64 x x))
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (*.f64 y x))
(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))
(/.f64 (-.f64 (*.f64 x (*.f64 (+.f64 x x) y)) (*.f64 (*.f64 (+.f64 x x) y) y)) (*.f64 (*.f64 (+.f64 x x) y) (*.f64 (+.f64 x x) y)))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (+.f64 x x))) (neg.f64 y))
(/.f64 (/.f64 (-.f64 x y) (+.f64 x x)) y)
(/.f64 (/.f64 (-.f64 x y) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (-.f64 y x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (-.f64 x y) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(neg.f64 (*.f64 (-.f64 y x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(neg.f64 (/.f64 (-.f64 x y) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x x) y)))
(neg.f64 (-.f64 (/.f64 y (*.f64 (+.f64 x x) y)) (/.f64 x (*.f64 (+.f64 x x) y))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (neg.f64 (/.f64 y (*.f64 (+.f64 x x) y))))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 (neg.f64 y) (*.f64 (+.f64 x x) y)))
(-.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y)))
(+.f64 (/.f64 (neg.f64 y) (*.f64 (+.f64 x x) y)) (/.f64 x (*.f64 (+.f64 x x) y)))
(+.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (neg.f64 (/.f64 y (*.f64 (+.f64 x x) y))))
(+.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 (neg.f64 y) (*.f64 (+.f64 x x) y)))
(neg.f64 (-.f64 y x))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 y #s(literal -1 binary64) x)
(-.f64 (neg.f64 y) (neg.f64 x))
(-.f64 x y)
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
x
y
(*.f64 (+.f64 y y) x)
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (+.f64 x x) y)
(*.f64 #s(literal 2 binary64) (*.f64 y x))
(*.f64 y (+.f64 x x))
(*.f64 x (+.f64 y y))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 #s(literal 1 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y x))
(fma.f64 x y (*.f64 y x))
(-.f64 (*.f64 y x) (*.f64 (neg.f64 x) y))
(+.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (*.f64 (*.f64 y x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (*.f64 y x)))
(+.f64 (*.f64 y x) (*.f64 y x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(-.f64 x (neg.f64 x))
(+.f64 x x)
#s(literal 2 binary64)
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#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) (neg.f64 y))
#s(approx (- x y) (-.f64 x y))
#s(approx x x)
#s(approx (* (* x 2) y) (*.f64 (+.f64 x x) y))
#s(approx (* x 2) (+.f64 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) y) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
#s(approx (- x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) 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) (-.f64 x y))
#s(approx y y)
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
#s(approx (- x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))

eval5.0ms (0.4%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 320 to 161 computations (49.7% saved)

prune3.0ms (0.2%)

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New58462
Fresh000
Picked101
Done000
Total59463
Accuracy
100.0%
Counts
63 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
▶50.8%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶51.1%
#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) y) (/.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 45 to 45 computations (0% saved)

series64.0ms (4.4%)

Memory
-37.3MiB live, 22.4MiB allocated; 9ms collecting garbage
Counts
15 → 15
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#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))
#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)
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) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ y x))))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) x)))
#s(approx (/ y x) #s(hole binary64 (/ y 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 (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ y x)))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))))
Calls

6 calls:

TimeVariablePointExpression
54.0ms
x
@inf
((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x))
2.0ms
x
@0
((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x))
2.0ms
y
@-inf
((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x))
2.0ms
x
@-inf
((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x))
2.0ms
y
@inf
((/ (- x y) (* (* x 2) y)) (- (/ 1/2 y) (/ 1/2 x)) (/ 1/2 y) 1/2 y (/ 1/2 x) x (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ y x) -1/2) 1/2) y) (+ (* (/ y x) -1/2) 1/2) (/ y x))

rewrite112.0ms (7.8%)

Memory
18.0MiB live, 108.4MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063295
069279
1310277
02177276
16950276
Stop Event
1×saturated
1×iter-limit
1×node-limit
1×iter-limit
Counts
30 → 130
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
(/.f64 #s(literal 1/2 binary64) x)
x
#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))
#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)
#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) #s(hole binary64 (/ 1/2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* -1/2 (/ y x))))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (/ (+ (* -1/2 y) (* 1/2 x)) x)))
#s(approx (/ y x) #s(hole binary64 (/ y 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 (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 1/2))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (+ 1/2 (* -1/2 (/ y x)))))
#s(approx (/ (- x y) (* (* x 2) y)) #s(hole binary64 (/ (+ 1/2 (* -1/2 (/ y x))) y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* y (- (* 1/2 (/ 1 y)) (* 1/2 (/ 1 x))))))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(hole binary64 (* -1 (* y (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y)))))))
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 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) y) x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) #s(literal -1/2 binary64))) (*.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 y) #s(literal 1/2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (*.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y))) (neg.f64 (*.f64 y x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) (*.f64 y x))
(neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y x)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal 1/2 binary64) y)
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
#s(literal 1/2 binary64)
y
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1/2 binary64) x)
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
x
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.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) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 x))
(neg.f64 (/.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))
#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 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.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 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (neg.f64 y) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 y (neg.f64 y)))
(/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y (*.f64 #s(literal 1/2 binary64) y)) (*.f64 y y))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 y) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 y) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 y (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (*.f64 y y))
(/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 (neg.f64 y)))
(/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y)
(neg.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 y)))
(neg.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)))
(fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 y x) (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 y x) y) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)))
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)) (/.f64 #s(literal -1/2 binary64) y))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x))))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) y))
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 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))
(fma.f64 y (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))
(-.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 y #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 y (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 y) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#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 (/ 1/2 x) (/.f64 #s(literal 1/2 binary64) x))
#s(approx x x)
#s(approx (+ (* (/ y x) -1/2) 1/2) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))
#s(approx (+ (* (/ y x) -1/2) 1/2) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x y)) 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) x) (/.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ (* (/ y x) -1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ y x) -1/2) 1/2) (fma.f64 (/.f64 y x) #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))
#s(approx y y)
#s(approx (+ (* (/ y x) -1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) y))
#s(approx (+ (* (/ y x) -1/2) 1/2) (*.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/2 binary64) y)) y))

eval14.0ms (1%)

Memory
-15.1MiB live, 28.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 669 to 383 computations (42.8% saved)

prune4.0ms (0.3%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh000
Picked044
Done000
Total1234127
Accuracy
100.0%
Counts
127 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓92.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
✓50.8%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓51.1%
#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) y) (/.f64 #s(literal 1/2 binary64) x)))
Compiler

Compiled 83 to 70 computations (15.7% saved)

regimes6.0ms (0.4%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
5 → 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))
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #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))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (-.f64 (/.f64 #s(literal 1/2 binary64) 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
100.0%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes10.0ms (0.7%)

Memory
-43.7MiB live, 10.1MiB allocated; 7ms 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) 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))
Calls

3 calls:

7.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
65.1%7(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
77.9%3x
74.8%3y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes3.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB 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
x
1.0ms
y
1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
51.1%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
51.1%1y
51.1%1x
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch14.0ms (1%)

Memory
30.2MiB live, 30.2MiB allocated; 0ms collecting garbage
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1.0525173197596688e-23
3.5818612742775275e-23
7.0ms
-1.0232968739107282e+85
-1.6329379260873276e+84
Samples
6.0ms176×0valid
Compiler

Compiled 232 to 254 computations (-9.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub!: 1.0ms (35.5% of total)
ival-mult!: 1.0ms (35.5% of total)
ival-div!: 1.0ms (35.5% of total)
adjust: 0.0ms (0% of total)

derivations26.0ms (1.8%)

Memory
-12.4MiB live, 33.5MiB allocated; 5ms collecting garbage
Stop Event
1×done
Compiler

Compiled 31 to 22 computations (29% saved)

preprocess20.0ms (1.4%)

Memory
-7.8MiB live, 37.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 38 to 29 computations (23.7% saved)

end0.0ms (0%)

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

Profiling

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