Linear.Projection:inversePerspective from linear-1.19.1.3, C

Time bar (total: 1.1s)

start0.0ms (0%)

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

analyze18.0ms (1.6%)

Memory
16.1MiB live, 16.1MiB 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)

sample647.0ms (56.3%)

Memory
-5.5MiB live, 980.3MiB allocated; 163ms collecting garbage
Samples
444.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 225.0ms
ival-div!: 125.0ms (55.5% of total)
ival-mult!: 71.0ms (31.5% of total)
ival-add!: 27.0ms (12% of total)
adjust: 1.0ms (0.4% of total)
Bogosity

preprocess40.0ms (3.5%)

Memory
-7.8MiB live, 38.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02260
19754
249342
3359242
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))
Symmetry

(sort x y)

Compiler

Compiled 14 to 14 computations (0% saved)

series10.0ms (0.9%)

Memory
36.7MiB live, 36.7MiB allocated; 0ms collecting garbage
Counts
7 → 14
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 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 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 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ 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 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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)
2.0ms
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)

rewrite138.0ms (12%)

Memory
4.0MiB live, 180.2MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058193
063181
1296181
02341175
17139175
Stop Event
1×saturated
1×iter-limit
1×node-limit
1×iter-limit
Counts
21 → 67
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 (* 1/2 (/ x y))) x)))
#s(approx (+ x y) #s(hole binary64 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 x)) (* 1/2 (/ 1 y)))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ 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 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
Outputs
(*.f64 (/.f64 (+.f64 y x) (+.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (+.f64 y x))
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y)))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (*.f64 (+.f64 x x) y))
(/.f64 (/.f64 (+.f64 y x) y) (+.f64 x x))
(/.f64 (/.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y x))
(/.f64 (/.f64 (+.f64 y x) x) (+.f64 y y))
(/.f64 (fma.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 y x) (+.f64 x x))) (neg.f64 y))
(/.f64 (/.f64 (+.f64 y x) (+.f64 x x)) y)
(/.f64 (/.f64 (+.f64 y x) (*.f64 y x)) #s(literal 2 binary64))
(/.f64 (-.f64 (neg.f64 y) x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 (+.f64 y x) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(/.f64 (+.f64 y x) (*.f64 (+.f64 x x) y))
(neg.f64 (/.f64 (+.f64 y x) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(neg.f64 (/.f64 (-.f64 (neg.f64 y) x) (*.f64 (+.f64 x x) y)))
(fma.f64 y (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 x (*.f64 (+.f64 x x) y)))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 y x)) (/.f64 y (*.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)))
(+.f64 (/.f64 y (*.f64 (+.f64 x x) y)) (/.f64 x (*.f64 (+.f64 x x) y)))
(+.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y)))
(neg.f64 (-.f64 (neg.f64 y) x))
(-.f64 y (neg.f64 x))
(-.f64 x (neg.f64 y))
(+.f64 y x)
(+.f64 x (neg.f64 (neg.f64 y)))
(+.f64 x 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) (neg.f64 (*.f64 y x)))
(-.f64 (*.f64 y x) (*.f64 (neg.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) y)
#s(approx (+ x y) (+.f64 y x))
#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) x) (/.f64 #s(literal -1/2 binary64) y)))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (+ x y) (fma.f64 (/.f64 y x) 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) (fma.f64 (/.f64 x y) y y))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))

eval5.0ms (0.4%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 306 to 155 computations (49.3% saved)

prune3.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New56460
Fresh000
Picked101
Done000
Total57461
Accuracy
100.0%
Counts
61 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.1%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
▶50.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
▶51.9%
#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 45 to 45 computations (0% saved)

series66.0ms (5.7%)

Memory
-25.8MiB live, 22.2MiB allocated; 2ms collecting garbage
Counts
15 → 14
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)
#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)
#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 (* 1/2 (/ x y))) 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 x) (* 1/2 y)) 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 x)) (* 1/2 (/ 1 y)))))
#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 (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))))
Calls

6 calls:

TimeVariablePointExpression
57.0ms
x
@-inf
((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 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 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x))
2.0ms
y
@0
((/ (+ x y) (* (* x 2) y)) (- (/ 1/2 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 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 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 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 x) (/ -1/2 y)) (/ 1/2 x) 1/2 x (/ -1/2 y) -1/2 y (/ (+ x y) (* (* x 2) y)) (/ (+ x y) (* (* x 2) y)) (/ 1/2 y) (/ (+ x y) (* (* x 2) y)) (/ (+ (* (/ y x) 1/2) 1/2) y) (+ (* (/ y x) 1/2) 1/2) (/ y x))

rewrite110.0ms (9.6%)

Memory
-12.5MiB live, 137.2MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058273
064261
1296261
02226260
17111260
Stop Event
1×saturated
1×iter-limit
1×node-limit
1×iter-limit
Counts
29 → 144
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)
#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)
#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 (* 1/2 (/ x y))) 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 x) (* 1/2 y)) 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 x)) (* 1/2 (/ 1 y)))))
#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 (/ -1/2 y) #s(hole binary64 (/ -1/2 y)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (/ y x) 1/2) 1/2) #s(hole binary64 (* 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 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) 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 (fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 y (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) y (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 (neg.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) y))
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 y x)) (neg.f64 (*.f64 y x)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) x) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (*.f64 y x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (/.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 binary64) (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 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) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (/.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))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (/.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 1/2 binary64) x) (/.f64 #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 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
x
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))
(*.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) y))
(*.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (neg.f64 y))
(neg.f64 (/.f64 #s(literal 1/2 binary64) y))
#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 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(*.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) (neg.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.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(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 (/.f64 y x) #s(literal -1 binary64)) (/.f64 #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) (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 (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 1/2 binary64) y) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
(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) (neg.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 y x)))
(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 #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) 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 (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(neg.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y) #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 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y #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)) (neg.f64 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 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 y 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) 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 (/ -1/2 y) (/.f64 #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))

eval12.0ms (1.1%)

Memory
35.1MiB live, 35.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 756 to 437 computations (42.2% saved)

prune8.0ms (0.7%)

Memory
-32.5MiB live, 12.2MiB allocated; 6ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1400140
Fresh000
Picked044
Done000
Total1404144
Accuracy
100.0%
Counts
144 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓92.1%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y))
✓50.0%
#s(approx (/ (+ x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
✓51.9%
#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 83 to 70 computations (15.7% saved)

regimes6.0ms (0.5%)

Memory
17.7MiB live, 17.7MiB 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) x) (/.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 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) x) (/.f64 #s(literal -1/2 binary64) y)))
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)

regimes4.0ms (0.4%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Counts
2 → 2
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))
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
57.0%3(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
79.6%2x
83.4%2y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes3.0ms (0.3%)

Memory
9.6MiB live, 9.6MiB 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
(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
51.9%1(/.f64 (+.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
51.9%1x
51.9%1y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch27.0ms (2.3%)

Memory
-23.7MiB live, 28.6MiB allocated; 17ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1.2603186899227215e-106
8.091995721342303e-104
Samples
18.0ms128×0valid
Compiler

Compiled 172 to 188 computations (-9.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (47.9% of total)
ival-div!: 1.0ms (47.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations26.0ms (2.3%)

Memory
-7.7MiB live, 36.8MiB allocated; 6ms collecting garbage
Stop Event
1×done
Compiler

Compiled 28 to 19 computations (32.1% saved)

preprocess25.0ms (2.2%)

Memory
20.8MiB live, 65.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 119 to 102 computations (14.3% saved)

end0.0ms (0%)

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

Profiling

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