Linear.Projection:inversePerspective from linear-1.19.1.3, B

Time bar (total: 1.6s)

start0.0ms (0%)

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

analyze51.0ms (3.1%)

Memory
-24.1MiB live, 33.3MiB allocated; 43ms 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)

sample774.0ms (47.2%)

Memory
-3.5MiB live, 854.6MiB allocated; 331ms collecting garbage
Samples
389.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 195.0ms
ival-mult!: 97.0ms (49.8% of total)
ival-div!: 59.0ms (30.3% of total)
ival-sub!: 37.0ms (19% of total)
adjust: 1.0ms (0.5% of total)
Bogosity

preprocess46.0ms (2.8%)

Memory
-15.7MiB live, 29.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02260
19854
251642
3500642
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.1%
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 14 to 14 computations (0% saved)

series13.0ms (0.8%)

Memory
34.4MiB live, 34.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059184
Stop Event
iter-limit
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:

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)

rewrite63.0ms (3.9%)

Memory
-45.7MiB live, 108.3MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
14923
042723
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
7 → 77
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 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (+.f64 x x) y)) (/.f64 x (*.f64 (+.f64 x x) y)))) (/.f64 x (*.f64 (+.f64 x x) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (+.f64 x x)) (/.f64 x y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) y) (/.f64 x (+.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) (/.f64 x (+.f64 y y)))
(*.f64 (/.f64 (-.f64 x y) (+.f64 x x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) y)) (-.f64 x y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 x (*.f64 (+.f64 x x) y)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y)))
(*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 y y))))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) y)))
(pow.f64 (*.f64 (+.f64 x x) (/.f64 y (-.f64 x y))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) (*.f64 (+.f64 x x) y))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) y))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x y) y) (+.f64 x x))
(/.f64 (/.f64 (-.f64 x y) x) (+.f64 y y))
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (*.f64 (+.f64 x x) y)) y) (*.f64 (+.f64 x x) y))
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 x (*.f64 (+.f64 x x) y))) (*.f64 (/.f64 y (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y)))) (+.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (+.f64 x x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 x (*.f64 (+.f64 x x) y)) (fma.f64 (/.f64 y (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) y)) (*.f64 (/.f64 x (*.f64 (+.f64 x x) y)) (/.f64 y (*.f64 (+.f64 x x) 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 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (+.f64 y x) (*.f64 (+.f64 x x) y)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 (+.f64 x x) y)))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) (+.f64 x x))) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 x x) (/.f64 y (-.f64 x y)))))
(/.f64 (/.f64 (-.f64 x y) (+.f64 x x)) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (-.f64 x y) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x x) (/.f64 y (-.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) (/.f64 y (-.f64 x y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (*.f64 (+.f64 x x) y)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (*.f64 (+.f64 x x) y)))
(/.f64 (-.f64 y x) (*.f64 (neg.f64 x) (+.f64 y y)))
(/.f64 (-.f64 x y) (neg.f64 (*.f64 (neg.f64 x) (+.f64 y y))))
(/.f64 (-.f64 x y) (*.f64 (+.f64 x x) y))
(neg.f64 (*.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) y))))
(neg.f64 (/.f64 (-.f64 x y) (*.f64 (neg.f64 x) (+.f64 y y))))
(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 binary64) (*.f64 (+.f64 x x) y)) (neg.f64 (/.f64 y (*.f64 (+.f64 x x) y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x x) y)) (/.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 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 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x (neg.f64 y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(neg.f64 (-.f64 y x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 x (neg.f64 (neg.f64 y)))
(-.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))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x))
(+.f64 x x)
#s(literal 2 binary64)

eval8.0ms (0.5%)

Memory
29.0MiB live, 29.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 620 to 272 computations (56.1% saved)

prune5.0ms (0.3%)

Memory
16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689
Accuracy
100.0%
Counts
89 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(/.f64 (/.f64 (-.f64 x y) y) (+.f64 x x))
78.1%
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) x))
91.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) x))
88.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
48.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
53.7%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 118 to 118 computations (0% saved)

series18.0ms (1.1%)

Memory
-2.0MiB live, 44.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091356
Stop Event
iter-limit
Counts
20 → 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 x y) (*.f64 (+.f64 y y) x))
(-.f64 x y)
(*.f64 (+.f64 y y) x)
(+.f64 y y)
(/.f64 (/.f64 (-.f64 x y) y) (+.f64 x x))
(/.f64 (-.f64 x y) y)
(+.f64 x 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) (*.f64 #s(literal -1 binary64) y))
#s(approx (- x y) (-.f64 x y))
#s(approx (* (+ y y) x) (*.f64 #s(literal 2 binary64) (*.f64 x y)))
#s(approx (/ (- x y) y) #s(literal -1 binary64))
#s(approx (/ (- x y) y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
#s(approx (+ x x) (*.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) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))))
#s(approx (/ (- x y) y) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) 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) y) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) (/.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 (- (* 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 (+ y y) (*.f64 #s(literal 2 binary64) y))
#s(approx (/ (- x y) y) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) 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:

TimeVariablePointExpression
4.0ms
x
@0
((/ (- x y) (* (* x 2) y)) (/ (- (* 1/2 (/ x y)) 1/2) x) (- (* 1/2 (/ x y)) 1/2) (* 1/2 (/ x y)) 1/2 (/ x y) x y (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ y y) x)) (- x y) (* (+ y y) x) (+ y y) (/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (+ x x))
3.0ms
x
@-inf
((/ (- x y) (* (* x 2) y)) (/ (- (* 1/2 (/ x y)) 1/2) x) (- (* 1/2 (/ x y)) 1/2) (* 1/2 (/ x y)) 1/2 (/ x y) x y (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ y y) x)) (- x y) (* (+ y y) x) (+ y y) (/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (+ x x))
3.0ms
x
@inf
((/ (- x y) (* (* x 2) y)) (/ (- (* 1/2 (/ x y)) 1/2) x) (- (* 1/2 (/ x y)) 1/2) (* 1/2 (/ x y)) 1/2 (/ x y) x y (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ y y) x)) (- x y) (* (+ y y) x) (+ y y) (/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (+ x x))
2.0ms
y
@-inf
((/ (- x y) (* (* x 2) y)) (/ (- (* 1/2 (/ x y)) 1/2) x) (- (* 1/2 (/ x y)) 1/2) (* 1/2 (/ x y)) 1/2 (/ x y) x y (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ y y) x)) (- x y) (* (+ y y) x) (+ y y) (/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (+ x x))
2.0ms
y
@0
((/ (- x y) (* (* x 2) y)) (/ (- (* 1/2 (/ x y)) 1/2) x) (- (* 1/2 (/ x y)) 1/2) (* 1/2 (/ x y)) 1/2 (/ x y) x y (/ (- x y) (* (* x 2) y)) (/ -1/2 x) -1/2 (/ (- x y) (* (* x 2) y)) (/ 1/2 y) (/ (- x y) (* (+ y y) x)) (- x y) (* (+ y y) x) (+ y y) (/ (/ (- x y) y) (+ x x)) (/ (- x y) y) (+ x x))

rewrite32.0ms (2%)

Memory
-7.1MiB live, 42.4MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025116
038116
0171113
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
20 → 85
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 x y) (*.f64 (+.f64 y y) x))
(-.f64 x y)
(*.f64 (+.f64 y y) x)
(+.f64 y y)
(/.f64 (/.f64 (-.f64 x y) y) (+.f64 x x))
(/.f64 (-.f64 x y) y)
(+.f64 x 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 #s(literal 1 binary64) (/.f64 x (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)
(-.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 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))
(-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
#s(literal 1/2 binary64)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.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) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 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) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 y))
(/.f64 #s(literal 1/2 binary64) y)
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 #s(literal 1 binary64) (+.f64 x x)))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) x)))
(/.f64 (/.f64 (-.f64 x y) (+.f64 x x)) y)
(/.f64 (/.f64 (-.f64 x y) (+.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) x) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 (+.f64 y y) x)))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) y)) (neg.f64 (+.f64 x x)))
(/.f64 (/.f64 (-.f64 x y) y) (+.f64 x x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) x))
(-.f64 (/.f64 x (*.f64 (+.f64 y y) x)) (/.f64 y (*.f64 (+.f64 y y) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (fma.f64 y y (*.f64 x y))))
(neg.f64 (-.f64 y x))
(-.f64 x y)
(+.f64 x (neg.f64 y))
(*.f64 (+.f64 x x) y)
(*.f64 (+.f64 y y) x)
(*.f64 y (+.f64 x x))
(*.f64 x (+.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y y)) y)
(*.f64 #s(literal 2 binary64) y)
(/.f64 (-.f64 (*.f64 y y) (*.f64 y y)) (-.f64 y y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 y y) (*.f64 y y))))
(-.f64 y (neg.f64 y))
(+.f64 y y)
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 #s(literal 1 binary64) (+.f64 x x)))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y y) x)))
(/.f64 (/.f64 (-.f64 x y) (+.f64 x x)) y)
(/.f64 (/.f64 (-.f64 x y) (+.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y y) x) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) (/.f64 (-.f64 x y) y)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 (*.f64 (+.f64 y y) x)))
(/.f64 (neg.f64 (/.f64 (-.f64 x y) y)) (neg.f64 (+.f64 x x)))
(/.f64 (/.f64 (-.f64 x y) y) (+.f64 x x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) x))
(-.f64 (/.f64 x (*.f64 (+.f64 y y) x)) (/.f64 y (*.f64 (+.f64 y y) x)))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 x y)) (neg.f64 y))
(/.f64 (-.f64 x y) y)
(-.f64 (/.f64 x y) (/.f64 y y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x x)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(-.f64 x (neg.f64 x))
(+.f64 x x)

eval68.0ms (4.1%)

Memory
-21.9MiB live, 23.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 607 to 352 computations (42% saved)

prune3.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New991100
Fresh011
Picked235
Done000
Total1015106
Accuracy
100.0%
Counts
106 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.1%
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) x))
91.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
88.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
48.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
53.7%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 53 to 53 computations (0% saved)

series16.0ms (1%)

Memory
27.9MiB live, 27.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061293
Stop Event
iter-limit
Counts
13 → 21
Calls
Call 1
Inputs
#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)))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
#s(literal -1/2 binary64)
(/.f64 y x)
y
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))
(/.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)
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 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
#s(approx (+ 1/2 (* -1/2 (/ y x))) (/.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 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 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 (* -1/2 (/ y x))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* -1/2 (/ y x))) (+.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 1/2 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) 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 y 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 (+ 1/2 (* -1/2 (/ y x))) (*.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 (+ 1/2 (* -1/2 (/ y x))) (*.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:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (- x y) (* (* x 2) y)) (/ (+ 1/2 (* -1/2 (/ y x))) y) (+ 1/2 (* -1/2 (/ y x))) 1/2 (* -1/2 (/ y x)) -1/2 (/ y x) y x (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
2.0ms
y
@-inf
((/ (- x y) (* (* x 2) y)) (/ (+ 1/2 (* -1/2 (/ y x))) y) (+ 1/2 (* -1/2 (/ y x))) 1/2 (* -1/2 (/ y x)) -1/2 (/ y x) y x (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
2.0ms
y
@inf
((/ (- x y) (* (* x 2) y)) (/ (+ 1/2 (* -1/2 (/ y x))) y) (+ 1/2 (* -1/2 (/ y x))) 1/2 (* -1/2 (/ y x)) -1/2 (/ y x) y x (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
1.0ms
x
@inf
((/ (- x y) (* (* x 2) y)) (/ (+ 1/2 (* -1/2 (/ y x))) y) (+ 1/2 (* -1/2 (/ y x))) 1/2 (* -1/2 (/ y x)) -1/2 (/ y x) y x (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))
1.0ms
x
@0
((/ (- x y) (* (* x 2) y)) (/ (+ 1/2 (* -1/2 (/ y x))) y) (+ 1/2 (* -1/2 (/ y x))) 1/2 (* -1/2 (/ y x)) -1/2 (/ y x) y x (/ (- x y) (* (* x 2) y)) (/ (+ (* (/ x y) 1/2) -1/2) x) (+ (* (/ x y) 1/2) -1/2) (/ x y))

rewrite81.0ms (4.9%)

Memory
-25.6MiB live, 111.2MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01882
02682
113582
0125379
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
13 → 179
Calls
Call 1
Inputs
#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)))
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
#s(literal -1/2 binary64)
(/.f64 y x)
y
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))
(/.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)
Outputs
#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 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)) (/.f64 #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(*.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) (neg.f64 y)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 y (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1/4 binary64)) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) y) y (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) y)) (*.f64 y y))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.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) y) (*.f64 y x)))) (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) y) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x))) (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 y x))))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 y (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (*.f64 y y))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64)))))
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 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))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (/.f64 x y)) #s(literal 1/2 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(-.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64)) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal -1/4 binary64))))))
(+.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) y))

eval22.0ms (1.3%)

Memory
5.3MiB live, 49.4MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 596 to 769 computations (51.8% saved)

prune5.0ms (0.3%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1872189
Fresh000
Picked112
Done033
Total1886194
Accuracy
100.0%
Counts
194 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.1%
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) x))
88.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
91.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
42.2%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
48.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
53.7%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 70 to 70 computations (0% saved)

series12.0ms (0.7%)

Memory
-20.4MiB live, 25.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048195
Stop Event
iter-limit
Counts
12 → 14
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
(/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
#s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
#s(literal -1/2 binary64)
(/.f64 y x)
y
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 (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))
#s(literal 1/2 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 (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
#s(approx (+ 1/2 (* -1/2 (/ y x))) (/.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 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 (* -1/2 (/ y x))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* -1/2 (/ y x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
#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 (* -1/2 (/ y x))) (*.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 (+ 1/2 (* -1/2 (/ y x))) (*.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:

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

rewrite217.0ms (13.2%)

Memory
7.7MiB live, 377.5MiB allocated; 104ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02097
02694
113394
2113494
0821794
Stop Event
iter-limit
node-limit
iter-limit
Counts
12 → 602
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
(/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y)
#s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 y x))
#s(literal -1/2 binary64)
(/.f64 y x)
y
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 (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))
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y))
(*.f64 (pow.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y))
(*.f64 (neg.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) y)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (neg.f64 y))
(/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y)
(neg.f64 (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) (neg.f64 y)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) y))
(fma.f64 (pow.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))) (/.f64 #s(literal 0 binary64) (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) (/.f64 #s(literal 0 binary64) (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64))) y) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))))
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(+.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))))
(+.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))))
(+.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 y x)))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 x x) x)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)

eval67.0ms (4.1%)

Memory
13.0MiB live, 155.6MiB allocated; 15ms collecting garbage
Compiler

Compiled 10 207 to 2 366 computations (76.8% saved)

prune13.0ms (0.8%)

Memory
-6.3MiB live, 40.6MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New6450645
Fresh000
Picked022
Done044
Total6456651
Accuracy
100.0%
Counts
651 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.1%
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) x))
88.5%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) y))
91.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x))
42.2%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
48.0%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
53.7%
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Compiler

Compiled 139 to 118 computations (15.1% saved)

regimes11.0ms (0.6%)

Memory
33.8MiB live, 33.8MiB allocated; 0ms collecting garbage
Counts
10 → 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))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) 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) (* (* 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))
(/.f64 (/.f64 (-.f64 x y) y) (+.f64 x 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) (* (* 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

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
97.3%3(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
99.9%3x
100.0%3y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes8.0ms (0.5%)

Memory
-29.2MiB live, 18.1MiB allocated; 2ms collecting garbage
Counts
5 → 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))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) 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))
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 y y) 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))
Calls

3 calls:

3.0ms
x
2.0ms
y
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
97.3%3(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
94.4%2x
95.0%3y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes6.0ms (0.3%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Counts
4 → 5
Calls
Call 1
Inputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 y x))) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) x))
Outputs
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 x y) (*.f64 (+.f64 y y) x))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
91.0%5y
85.3%4x
92.1%5(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes5.0ms (0.3%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
3 → 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))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(approx (+ 1/2 (* -1/2 (/ y x))) (*.f64 #s(literal -1/2 binary64) (/.f64 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 #s(literal 1/2 binary64) y))
#s(approx (/ (- x y) (* (* x 2) y)) (/.f64 #s(literal -1/2 binary64) x))
Calls

3 calls:

2.0ms
y
1.0ms
x
1.0ms
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Results
AccuracySegmentsBranch
74.5%3x
82.2%3y
66.2%6(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes3.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB 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
(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
1.0ms
y
Results
AccuracySegmentsBranch
53.7%1(/.f64 (-.f64 x y) (*.f64 (*.f64 x #s(literal 2 binary64)) y))
53.7%1x
53.7%1y
Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch23.0ms (1.4%)

Memory
-3.0MiB live, 48.0MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
9.433856579699761e-122
6.4536983996614e-119
12.0ms
-3.1403094702196755e+130
-4.314922310929979e+126
Samples
10.0ms256×0valid
Compiler

Compiled 428 to 460 computations (-7.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (47.6% of total)
ival-sub!: 1.0ms (23.8% of total)
ival-div!: 1.0ms (23.8% of total)
adjust: 0.0ms (0% of total)

bsearch1.0ms (0.1%)

Memory
-45.7MiB live, 0.9MiB allocated; 2ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
1.0ms
-2.2235495661477136e+38
-3.6410465355340075e+35
0.0ms
-inf
-5.625256717703838e+306
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1190542749061842e+301
+inf
0.0ms
-0.0
1.2284448886085143e-117
0.0ms
-1.158769414534921e-127
-0.0
0.0ms
-inf
-5.625256717703838e+306
Compiler

Compiled 10 to 12 computations (-20% saved)

bsearch19.0ms (1.1%)

Memory
45.9MiB live, 45.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
3.3955944624685537
38179.498210554644
8.0ms
-0.002272478304835941
-0.00010890346385732166
Samples
9.0ms240×0valid
Compiler

Compiled 312 to 342 computations (-9.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult!: 2.0ms (50.4% of total)
ival-sub!: 1.0ms (25.2% of total)
ival-div!: 1.0ms (25.2% of total)
adjust: 0.0ms (0% of total)

derivations9.0ms (0.6%)

Memory
-25.2MiB live, 21.7MiB allocated; 1ms collecting garbage
Stop Event
done
Compiler

Compiled 71 to 57 computations (19.7% saved)

preprocess42.0ms (2.6%)

Memory
-3.8MiB live, 106.0MiB allocated; 17ms collecting garbage
Compiler

Compiled 78 to 64 computations (17.9% saved)

end0.0ms (0%)

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

Profiling

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