Diagrams.TwoD.Arc:arcBetween from diagrams-lib-1.3.0.3

Time bar (total: 1.8s)

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.9%0.1%0.0%0.0%0.0%0
0.0%0.0%99.9%0.1%0.0%0.0%0.0%1
0.0%0.0%99.9%0.1%0.0%0.0%0.0%2
75.0%74.9%25.0%0.1%0.0%0.0%0.0%3
87.5%87.4%12.5%0.1%0.0%0.0%0.0%4
93.8%93.7%6.2%0.1%0.0%0.0%0.0%5
96.9%96.8%3.1%0.1%0.0%0.0%0.0%6
98.4%98.3%1.6%0.1%0.0%0.0%0.0%7
99.2%99.1%0.8%0.1%0.0%0.0%0.0%8
99.6%99.5%0.4%0.1%0.0%0.0%0.0%9
99.8%99.7%0.2%0.1%0.0%0.0%0.0%10
99.9%99.8%0.1%0.1%0.0%0.0%0.0%11
100.0%99.9%0.0%0.1%0.0%0.0%0.0%12
Compiler

Compiled 21 to 11 computations (47.6% saved)

sample676.0ms (37.8%)

Memory
43.3MiB live, 785.3MiB allocated; 204ms collecting garbage
Samples
445.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-mult!: 131.0ms (66.3% of total)
ival-div!: 33.0ms (16.7% of total)
ival-sub!: 17.0ms (8.6% of total)
ival-add!: 15.0ms (7.6% of total)
adjust: 2.0ms (1.0% of total)
Bogosity

preprocess35.0ms (2.0%)

Memory
-3.5MiB live, 47.5MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028116
1129114
2514114
31400114
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
Symmetry

(abs x)

(abs y)

Compiler

Compiled 38 to 18 computations (52.6% saved)

sample0.0ms (0.0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
4
Outputs
#s(literal 4 binary64)
Samples
0.0ms0valid
Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series23.0ms (1.3%)

Memory
-4.2MiB live, 40.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149852
Stop Event
iter-limit
Counts
9 → 27
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (- (* x x) (* (* y 4) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* x x) (* (* y 4) y)) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (* x x) (* (* y 4) y)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* y 4) (*.f64 #s(literal 4 binary64) y))
#s(approx y y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (- (* x x) (* (* y 4) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))))
#s(approx (+ (* x x) (* (* y 4) y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
Calls

6 calls:

TimeVariablePoint
6.0ms
x
0
2.0ms
y
inf
1.0ms
x
inf
1.0ms
y
-inf
1.0ms
y
0

rewrite127.0ms (7.1%)

Memory
-23.5MiB live, 165.1MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0951
01551
16951
228351
3114651
0440747
Stop Event
iter-limit
node-limit
iter-limit
Counts
9 → 877
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
(*.f64 x x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
(+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y))) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 4 binary64)) y) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x))) x) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y))) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))) (fabs.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (fabs.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y) (-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) y) y) #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y) (-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y y) #s(literal -4 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y)) (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) y) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x)))
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(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (*.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 y (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x x))
(fma.f64 y (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 x x))
(fma.f64 y (*.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 y (*.f64 #s(literal 4 binary64) y) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) y) y))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -4 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) y) y))

eval92.0ms (5.1%)

Memory
22.7MiB live, 169.8MiB allocated; 40ms collecting garbage
Compiler

Compiled 43 067 to 2 757 computations (93.6% saved)

prune14.0ms (0.8%)

Memory
-12.6MiB live, 34.1MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New8945899
Fresh000
Picked101
Done000
Total8955900
Accuracy
99.8%
Counts
900 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
51.5%
(*.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
46.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
47.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
53.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 218 to 124 computations (43.1% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
-1
1
-4
4
1/2
2
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal -4 binary64)
#s(literal 4 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 8 to 8 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series23.0ms (1.3%)

Memory
-4.2MiB live, 41.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491397
Stop Event
iter-limit
Counts
24 → 45
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 y y)
y
#s(literal -4 binary64)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (+ (* (* y y) -4) (* x x)) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* (* y y) -4) (* x x)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (+ (* (* 4 y) y) (* x x)) (fma.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 8 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (* 1/2 (/ (pow x 2) (pow y 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (/ (pow x 2) (pow y 2)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (* y y) -4) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -64 binary64) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -16 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (* 1/2 (/ (pow x 2) (pow y 2))) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx y y)
#s(approx (* 4 y) (*.f64 #s(literal 4 binary64) y))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -64 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (- (* 1/2 (/ (pow x 2) (pow y 2))) 1) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))))))))
#s(approx (+ (* (* y y) -4) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))))
#s(approx (+ (* (* 4 y) y) (* x x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (/.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ 1 (+ (* (* 4 y) y) (* x x))) (/.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (pow.f64 y #s(literal 2 binary64))))
Calls

6 calls:

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

rewrite140.0ms (7.8%)

Memory
37.1MiB live, 219.9MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030185
046180
1214177
2769169
33231169
04034167
Stop Event
iter-limit
node-limit
iter-limit
Counts
24 → 1 278
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x))
(*.f64 y y)
y
#s(literal -4 binary64)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))
(*.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
(*.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 y #s(literal 2 binary64))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)))) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 #s(literal 4 binary64) y)) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) #s(literal -2 binary64)))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 #s(literal -4 binary64) (*.f64 y y))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 #s(literal 4 binary64) y)) y (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x)) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)))) (-.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))))) (+.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y))) (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) x) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 y y)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 y y)))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 #s(literal 4 binary64) y)) y)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 #s(literal 4 binary64) y)) y (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 4 binary64) y) y))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))) (*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 #s(literal 4 binary64) y)) y) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (*.f64 (neg.f64 x) x))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 y (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (*.f64 (neg.f64 x) x))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) y) y) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 y y)) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 #s(literal -4 binary64) (*.f64 y y) (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))))
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(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) y) y)
(*.f64 (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 y) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 y))) (fabs.f64 y))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (fabs.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) y)
(*.f64 (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 y (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (fabs.f64 y) (neg.f64 (neg.f64 (fabs.f64 y))))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 y y) (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (fabs.f64 y) #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 y #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 (*.f64 y y) #s(literal 0 binary64)))
(*.f64 (*.f64 y y) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(pow.f64 (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fabs.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (pow.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (fabs.f64 y) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(/.f64 (*.f64 y y) (pow.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))
(sqrt.f64 (*.f64 (*.f64 y y) (*.f64 y y)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval150.0ms (8.4%)

Memory
-9.4MiB live, 267.1MiB allocated; 45ms collecting garbage
Compiler

Compiled 44 019 to 4 006 computations (90.9% saved)

prune43.0ms (2.4%)

Memory
-9.0MiB live, 37.5MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 41721 419
Fresh000
Picked235
Done000
Total1 41951 424
Accuracy
99.9%
Counts
1 424 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
54.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
46.0%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
47.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
53.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 119 to 64 computations (46.2% saved)

sample0.0ms (0.0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/2
-1
Outputs
#s(literal 1/2 binary64)
#s(literal -1 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series16.0ms (0.9%)

Memory
31.9MiB live, 31.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151784
Stop Event
iter-limit
Counts
14 → 25
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 x y)
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (/ (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) (/.f64 x y)))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (/ x y) (/.f64 x y))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 6 binary64)))))) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ 1/2 (* y y)) (* x x)) -1) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
#s(approx (+ (* (/ 1/2 (* y y)) (* x x)) -1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 32 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (/ 1/2 (* y y)) (* x x)) -1) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))
#s(approx (/ 1/2 (* y y)) (/.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
#s(approx (* y y) (pow.f64 y #s(literal 2 binary64)))
#s(approx y y)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 y #s(literal 4 binary64))))))))
Calls

6 calls:

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

rewrite203.0ms (11.3%)

Memory
-43.0MiB live, 175.2MiB allocated; 158ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021106
032106
1158106
2687102
33193102
0451794
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 437
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(literal 1/2 binary64) (*.f64 y y))
#s(literal 1/2 binary64)
(*.f64 y y)
y
(*.f64 x x)
x
#s(literal -1 binary64)
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 x y)
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (fma.f64 y y (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (fma.f64 y y (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 (fabs.f64 y)))) (neg.f64 (neg.f64 (fabs.f64 y))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (fabs.f64 y))) (neg.f64 (fabs.f64 y)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (*.f64 y y)))
(neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) x) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) (fabs.f64 y)) (/.f64 (fabs.f64 x) (neg.f64 (fabs.f64 y))) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fabs.f64 y)) (fabs.f64 (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (fabs.f64 x)) y) (/.f64 (fabs.f64 x) (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) y) (/.f64 (fabs.f64 x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) x) (fabs.f64 y)) (/.f64 #s(literal -1/2 binary64) (fabs.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (fabs.f64 y)) (/.f64 (neg.f64 x) (fabs.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (fabs.f64 y)) (/.f64 (*.f64 (neg.f64 x) x) (fabs.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) (fabs.f64 y)) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (fabs.f64 y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 x) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 x (fabs.f64 y)))) (/.f64 #s(literal 1 binary64) (fabs.f64 y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 x (*.f64 y y)) (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x (/.f64 x (fabs.f64 y))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 y)) (*.f64 x (/.f64 x (fabs.f64 y))) #s(literal -1 binary64))
(fma.f64 (*.f64 x (/.f64 (neg.f64 x) y)) (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 x (/.f64 (neg.f64 x) y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 x (fabs.f64 y)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (fabs.f64 y))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (fabs.f64 y))) (/.f64 x (fabs.f64 y)) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) y) (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) x #s(literal -1 binary64))
(fma.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) x) (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) y) (*.f64 (/.f64 x y) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) x) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) #s(literal -1 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal -1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) x) #s(literal -1 binary64))
(-.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 y y)) x) x))
(+.f64 (/.f64 (neg.f64 y) y) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)))
(+.f64 (copysign.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 x (*.f64 y y)) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) y)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) 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) y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x (*.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))

eval43.0ms (2.4%)

Memory
-2.3MiB live, 89.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 12 297 to 1 413 computations (88.5% saved)

prune8.0ms (0.4%)

Memory
15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3510351
Fresh000
Picked022
Done033
Total3515356
Accuracy
99.9%
Counts
356 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.0%
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
54.7%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
46.0%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
47.8%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
53.2%
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Compiler

Compiled 119 to 64 computations (46.2% saved)

regimes47.0ms (2.6%)

Memory
-7.6MiB live, 88.3MiB allocated; 8ms collecting garbage
Counts
1 → 1
3 → 2
4 → 2
5 → 3
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
Call 2
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
Call 3
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
Call 4
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
Call 5
Inputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal -1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 x x))))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
#s(approx (/ (- (* x x) (* (* y 4) y)) (+ (* x x) (* (* y 4) y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 x y) #s(literal -1 binary64)))
Calls

19 calls:

6.0ms
x
3.0ms
y
3.0ms
(*.f64 x x)
3.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) y)
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
53.2%1(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
53.2%1(*.f64 (*.f64 y #s(literal 4 binary64)) y)
53.2%1y
53.2%1(*.f64 x x)
53.2%1x
77.6%3(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
78.5%2(*.f64 x x)
78.5%2x
79.0%2(*.f64 x x)
79.0%2x
76.3%2(*.f64 (*.f64 y #s(literal 4 binary64)) y)
76.3%2y
84.5%3(*.f64 (*.f64 y #s(literal 4 binary64)) y)
84.5%3y
84.7%3(*.f64 (*.f64 y #s(literal 4 binary64)) y)
83.0%3(*.f64 x x)
78.7%2(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 4 binary64)) y)))
83.0%3x
84.7%3y
Compiler

Compiled 285 to 119 computations (58.2% saved)

bsearch26.0ms (1.5%)

Memory
-3.5MiB live, 41.6MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.4619038445313353e+147
1.232786471419021e+150
14.0ms
8.022354330167326e-163
1.1482879091286321e-157
Samples
14.0ms272×0valid
Compiler

Compiled 774 to 428 computations (44.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 6.0ms (75.0% of total)
ival-sub!: 1.0ms (12.5% of total)
ival-div!: 1.0ms (12.5% of total)
adjust: 0.0ms (0.0% of total)
ival-add!: 0.0ms (0.0% of total)

bsearch10.0ms (0.6%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.4619038445313353e+147
1.232786471419021e+150
8.0ms
8.022354330167326e-163
1.1482879091286321e-157
Samples
4.0ms96×0valid
Compiler

Compiled 740 to 445 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (52.5% of total)
ival-sub!: 0.0ms (0.0% of total)
adjust: 0.0ms (0.0% of total)
ival-add!: 0.0ms (0.0% of total)
ival-div!: 0.0ms (0.0% of total)

bsearch13.0ms (0.8%)

Memory
-27.8MiB live, 17.2MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
1.7702613621217234e+44
3.5368102879360563e+46
Samples
5.0ms112×0valid
Compiler

Compiled 379 to 217 computations (42.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult!: 1.0ms (44.0% of total)
ival-sub!: 0.0ms (0.0% of total)
adjust: 0.0ms (0.0% of total)
ival-add!: 0.0ms (0.0% of total)
ival-div!: 0.0ms (0.0% of total)

bsearch1.0ms (0.0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
1.7702613621217234e+44
3.5368102879360563e+46
Compiler

Compiled 190 to 110 computations (42.1% saved)

derivations48.0ms (2.7%)

Memory
-6.7MiB live, 40.1MiB allocated; 10ms collecting garbage
Stop Event
done
Compiler

Compiled 276 to 48 computations (82.6% saved)

preprocess50.0ms (2.8%)

Memory
9.0MiB live, 99.6MiB allocated; 10ms collecting garbage
Compiler

Compiled 1 961 to 719 computations (63.3% saved)

end0.0ms (0.0%)

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

Profiling

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