Given's Rotation SVD example

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze361.0ms (7.9%)

Memory
-0.3MiB live, 480.1MiB allocated; 97ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%48.6%51.4%0%0%0%0
0%0%48.6%51.4%0%0%0%1
0%0%48.6%51.4%0%0%0%2
0%0%48.6%51.4%0%0%0%3
0%0%48.6%51.4%0%0%0%4
31.3%15.2%33.4%51.4%0%0%0%5
34.4%16.7%31.9%51.4%0%0%0%6
51.6%25.1%23.6%51.4%0%0%0%7
53.1%25.8%22.8%51.4%0%0%0%8
62.5%30.4%18.2%51.4%0%0%0%9
63.7%31%17.7%51.4%0%0%0%10
68.6%33.3%15.3%51.4%0%0%0%11
69.2%33.7%15%51.4%0%0%0%12
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample1.6s (34.4%)

Memory
10.6MiB live, 2 167.4MiB allocated; 498ms collecting garbage
Samples
632.0ms6 298×0valid
233.0ms929×2valid
173.0ms561×1valid
167.0ms468×3valid
Precisions
Click to see histograms. Total time spent on operations: 926.0ms
ival-mult!: 284.0ms (30.7% of total)
ival-sqrt: 217.0ms (23.4% of total)
ival-add!: 180.0ms (19.4% of total)
ival-div!: 147.0ms (15.9% of total)
adjust: 91.0ms (9.8% of total)
ival-fabs: 4.0ms (0.4% of total)
ival-<: 2.0ms (0.2% of total)
ival-and: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess55.0ms (1.2%)

Memory
-8.7MiB live, 36.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042106
1174104
2542104
32331104
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
Symmetry

(abs p)

Compiler

Compiled 34 to 28 computations (17.6% saved)

series272.0ms (6%)

Memory
47.4MiB live, 274.0MiB allocated; 64ms collecting garbage
Counts
14 → 118
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
x
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)
Outputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64))))))) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64))))))) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (* 4 p) p) (* x x)) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* 4 p) p) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
#s(approx (* 4 p) (*.f64 #s(literal 4 binary64) p))
#s(approx p p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 5 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 1 binary64))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) p))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))) p))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/1024 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))))) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal 2 binary64) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) p) (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)) p))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x))) p))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) p))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/1024 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))))) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -2 binary64) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 7 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx x x)
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.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 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))
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#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))))
Calls

6 calls:

TimeVariablePoint
10.0ms
p
0
9.0ms
x
-inf
7.0ms
x
0
6.0ms
p
inf
5.0ms
x
inf

rewrite164.0ms (3.6%)

Memory
-27.6MiB live, 207.6MiB allocated; 63ms collecting garbage
Counts
14 → 50
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
x
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)
Outputs
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
x
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
(pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) p) p))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))
(fma.f64 p (*.f64 #s(literal 4 binary64) p) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) p) p))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) p) p))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) p) p))
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
(*.f64 p (*.f64 #s(literal 4 binary64) p))
(*.f64 #s(literal 4 binary64) (*.f64 p p))
(*.f64 #s(literal 4 binary64) p)
(*.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
p
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))

eval65.0ms (1.4%)

Memory
-14.1MiB live, 52.6MiB allocated; 48ms collecting garbage
Compiler

Compiled 6 622 to 1 077 computations (83.7% saved)

prune9.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New14811159
Fresh000
Picked101
Done000
Total14911160
Accuracy
93.7%
Counts
160 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
80.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))))
6.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
38.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
12.6%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
16.2%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
53.9%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
52.6%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
58.1%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
52.7%
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
17.0%
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)))
Compiler

Compiled 522 to 406 computations (22.2% saved)

series321.0ms (7%)

Memory
-10.2MiB live, 370.8MiB allocated; 48ms collecting garbage
Counts
32 → 164
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
x
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
#s(literal 1/4 binary64)
(/.f64 x p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x))
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
(pow.f64 p #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64))))))) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (* 4 p) p) (* x x)) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 4 p) (*.f64 #s(literal 4 binary64) p))
#s(approx p p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
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#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) p))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))) p))))
#s(approx (sqrt (pow p 2)) (*.f64 #s(literal -1 binary64) p))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 7 binary64))) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 7 binary64))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx x x)
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.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 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* -1 (/ (sqrt (pow p 2)) x)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)))
#s(approx (/ (sqrt (pow p 2)) x) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64))))))) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
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#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))
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#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) x))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))))) x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))))) (pow.f64 x #s(literal 2 binary64))))
Calls

6 calls:

TimeVariablePoint
7.0ms
x
0
5.0ms
x
-inf
4.0ms
p
0
3.0ms
x
inf
3.0ms
p
inf

rewrite321.0ms (7%)

Memory
57.0MiB live, 367.8MiB allocated; 71ms collecting garbage
Counts
32 → 523
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
x
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
#s(literal 1/4 binary64)
(/.f64 x p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x))
(/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)
(sqrt.f64 (pow.f64 p #s(literal 2 binary64)))
(pow.f64 p #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(fabs.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(*.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(fabs.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(+.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(/.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(sqrt.f64 #s(literal 1 binary64))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
#s(approx (/ x (sqrt (+ (* x x) (* (* p p) 4)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) #s(literal 2 binary64))
(+.f64 #s(literal -1 binary64) #s(literal 0 binary64))
(/.f64 #s(literal -2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(neg.f64 #s(literal 1 binary64))
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 p #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) p))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(+.f64 (/.f64 (*.f64 p #s(literal 1/2 binary64)) p) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(+.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) p) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) p) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal -1/4 binary64)) p))
(/.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 p #s(literal 1/2 binary64))) p)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 p) (*.f64 x #s(literal -1/4 binary64))) (neg.f64 p))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 p)) (*.f64 x #s(literal 1/4 binary64))) (neg.f64 p))
(/.f64 (neg.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 p #s(literal 1/2 binary64)))) (neg.f64 p))
(fma.f64 (*.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) p) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) p) (*.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 (/.f64 x p)) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) (neg.f64 (/.f64 x p)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1/4 binary64) (neg.f64 p)) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) p) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p))
(neg.f64 (fma.f64 (/.f64 x p) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/4 binary64)) p)))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 (*.f64 x #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) p))
(*.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) p))
(*.f64 (/.f64 #s(literal 1 binary64) p) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1/4 binary64) p) x)
(*.f64 (/.f64 x p) #s(literal 1/4 binary64))
(*.f64 x (/.f64 #s(literal 1/4 binary64) p))
(*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) p))
(*.f64 (neg.f64 (/.f64 x p)) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (neg.f64 (/.f64 x p)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1/4 binary64) (neg.f64 p)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) p) #s(literal 1/4 binary64)))
(/.f64 (*.f64 x #s(literal -1/4 binary64)) (neg.f64 p))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(/.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) p)
(/.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (neg.f64 p))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/4 binary64)) p))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/4 binary64))
(neg.f64 #s(literal -1/4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) p) x)
(*.f64 (/.f64 #s(literal -1 binary64) p) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) p))
(*.f64 #s(literal 1 binary64) (/.f64 x p))
(*.f64 x (/.f64 #s(literal 1 binary64) p))
(/.f64 x p)
(/.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 p))
(/.f64 (*.f64 #s(literal -1 binary64) x) (neg.f64 p))
(/.f64 (neg.f64 x) (neg.f64 p))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 p))
(neg.f64 (neg.f64 (/.f64 x p)))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(*.f64 (fabs.f64 p) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 p))
(*.f64 (/.f64 (fabs.f64 p) x) #s(literal -1 binary64))
(*.f64 (neg.f64 (fabs.f64 p)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (fabs.f64 p)) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 p) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (fabs.f64 p)))
(*.f64 (*.f64 (neg.f64 (fabs.f64 p)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 p) (neg.f64 x))
(/.f64 (neg.f64 (fabs.f64 p)) x)
(/.f64 (*.f64 (neg.f64 (fabs.f64 p)) #s(literal 1 binary64)) x)
(neg.f64 (/.f64 (fabs.f64 p) x))
(*.f64 (fabs.f64 p) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 p))
(*.f64 (neg.f64 (/.f64 (fabs.f64 p) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (fabs.f64 p) x) #s(literal 1 binary64))
(*.f64 (neg.f64 (fabs.f64 p)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 p) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (fabs.f64 p)))
(/.f64 (fabs.f64 p) x)
(/.f64 (neg.f64 (fabs.f64 p)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (fabs.f64 p)) #s(literal 1 binary64)) (neg.f64 x))
(neg.f64 (neg.f64 (/.f64 (fabs.f64 p) x)))
(*.f64 (fabs.f64 p) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 p))
(*.f64 (neg.f64 (fabs.f64 p)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 p)))
(fabs.f64 p)
(fabs.f64 (*.f64 p #s(literal 1 binary64)))
(fabs.f64 (fabs.f64 p))
(fabs.f64 (neg.f64 p))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 p)) #s(literal 1 binary64)))
(+.f64 (fabs.f64 p) (*.f64 #s(literal 0 binary64) (fabs.f64 p)))
(+.f64 (fabs.f64 p) (*.f64 (fabs.f64 p) #s(literal 0 binary64)))
(/.f64 (*.f64 (fabs.f64 p) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (neg.f64 (fabs.f64 p)) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (fabs.f64 p)))
(fma.f64 (neg.f64 (fabs.f64 p)) #s(literal -1 binary64) (*.f64 (fabs.f64 p) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 p)) (*.f64 #s(literal 0 binary64) (fabs.f64 p)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 p)) (*.f64 (fabs.f64 p) #s(literal 0 binary64)))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fabs.f64 p)))
(fma.f64 (fabs.f64 p) #s(literal 1 binary64) (*.f64 (fabs.f64 p) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (*.f64 #s(literal 0 binary64) (fabs.f64 p)))
(fma.f64 #s(literal 1 binary64) (fabs.f64 p) (*.f64 (fabs.f64 p) #s(literal 0 binary64)))
(neg.f64 (neg.f64 (fabs.f64 p)))
(neg.f64 (*.f64 (neg.f64 (fabs.f64 p)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 p))))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 p p))
(*.f64 p p)
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 (neg.f64 p) (neg.f64 p))
(*.f64 (neg.f64 (fabs.f64 p)) (neg.f64 (fabs.f64 p)))
(fabs.f64 (*.f64 p p))
(fabs.f64 (*.f64 p (fabs.f64 p)))
(fabs.f64 (*.f64 (fabs.f64 p) p))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 p)) (fabs.f64 p)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 p)) p))
(fabs.f64 (*.f64 p (neg.f64 (fabs.f64 p))))
(fabs.f64 (*.f64 (fabs.f64 p) (neg.f64 (fabs.f64 p))))
(neg.f64 (*.f64 (neg.f64 p) p))
(neg.f64 (*.f64 p (neg.f64 p)))
(pow.f64 p #s(literal 2 binary64))
(pow.f64 (*.f64 p p) #s(literal 1 binary64))
(pow.f64 (fabs.f64 p) #s(literal 2 binary64))
(pow.f64 (neg.f64 p) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (*.f64 p p) (*.f64 p p)))
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(fabs.f64 #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))

eval213.0ms (4.7%)

Memory
-48.5MiB live, 199.9MiB allocated; 199ms collecting garbage
Compiler

Compiled 22 892 to 3 471 computations (84.8% saved)

prune20.0ms (0.4%)

Memory
-2.5MiB live, 43.0MiB allocated; 5ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New7217728
Fresh426
Picked415
Done000
Total72910739
Accuracy
99.8%
Counts
739 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
52.6%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
6.2%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
38.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
53.9%
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
16.2%
(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
12.6%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
58.1%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
23.2%
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
52.7%
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
Compiler

Compiled 455 to 342 computations (24.8% saved)

series284.0ms (6.2%)

Memory
17.3MiB live, 251.6MiB allocated; 51ms collecting garbage
Counts
31 → 125
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
x
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64)))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(neg.f64 (/.f64 (fabs.f64 p) x))
(/.f64 (fabs.f64 p) x)
(fabs.f64 p)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))
(*.f64 #s(literal -1/4 binary64) (/.f64 x p))
#s(literal -1/4 binary64)
(/.f64 x p)
(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 p #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64))))))) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (* 4 p) p) (* x x)) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 4 p) (*.f64 #s(literal 4 binary64) p))
#s(approx p p)
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
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#s(approx (neg (/ (fabs p) x)) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 p) x)))
#s(approx (/ (fabs p) x) (/.f64 (fabs.f64 p) x))
#s(approx (fabs p) (fabs.f64 p))
#s(approx (* -1/4 (/ x p)) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))
#s(approx (/ x p) (/.f64 x p))
#s(approx (/ (pow p 2) (pow x 2)) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (pow p 2) (pow.f64 p #s(literal 2 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 5 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) p))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))) p))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/1024 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))))) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal 2 binary64) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
#s(approx (+ (* (* 4 p) p) (* x x)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)) p))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x))) p))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/1024 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)))) p))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) p) (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)) p))))
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#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x)) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/1024 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))))) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -2 binary64) p))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)) p)))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x))) p)))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 #s(literal 1/1024 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 p #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)))) p)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
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#s(approx x x)
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.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 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 7 binary64))) (*.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
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#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (-.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
Calls

6 calls:

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

rewrite154.0ms (3.4%)

Memory
-8.2MiB live, 85.0MiB allocated; 21ms collecting garbage
Counts
31 → 81
Calls
Call 1
Inputs
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
x
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64)))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(neg.f64 (/.f64 (fabs.f64 p) x))
(/.f64 (fabs.f64 p) x)
(fabs.f64 p)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p))))
#s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))
(*.f64 #s(literal -1/4 binary64) (/.f64 x p))
#s(literal -1/4 binary64)
(/.f64 x p)
(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 p #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
Outputs
(fabs.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))
x
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
(pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 4 binary64) p) p))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 p p)) #s(literal 4 binary64)))
(-.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p)))
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))
(fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 p (*.f64 #s(literal 4 binary64) p) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 #s(literal 4 binary64) p) p))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) p) p))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 #s(literal 4 binary64) p) p))
(*.f64 #s(literal 4 binary64) p)
(*.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
p
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) #s(approx (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) #s(literal -1/2 binary64)))
#s(approx (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(neg.f64 #s(literal 1/2 binary64))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(/.f64 (fabs.f64 p) (neg.f64 x))
(/.f64 (neg.f64 (fabs.f64 p)) x)
(neg.f64 (/.f64 (fabs.f64 p) x))
(*.f64 (fabs.f64 p) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fabs.f64 p) x)
(/.f64 (neg.f64 (fabs.f64 p)) (neg.f64 x))
(fabs.f64 p)
(fabs.f64 (neg.f64 p))
(sqrt.f64 (*.f64 p p))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) (/.f64 (*.f64 #s(literal -1/4 binary64) x) p))))
(+.f64 #s(literal 1/2 binary64) #s(approx (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) (/.f64 (*.f64 #s(literal -1/4 binary64) x) p)))
#s(approx (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) (/.f64 (*.f64 #s(literal -1/4 binary64) x) p))
(*.f64 #s(literal -1/4 binary64) (/.f64 x p))
(*.f64 (/.f64 x p) #s(literal -1/4 binary64))
(/.f64 (*.f64 #s(literal -1/4 binary64) x) p)
#s(literal -1/4 binary64)
(*.f64 x (/.f64 #s(literal 1 binary64) p))
(/.f64 x p)
(/.f64 (neg.f64 x) (neg.f64 p))
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x)))
(*.f64 (*.f64 p p) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 p p) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 p p)) (neg.f64 (*.f64 x x)))
(*.f64 p p)
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 (neg.f64 p) (neg.f64 p))
(pow.f64 p #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))

eval24.0ms (0.5%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 7 359 to 1 133 computations (84.6% saved)

prune9.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1833186
Fresh224
Picked145
Done011
Total18610196
Accuracy
99.8%
Counts
196 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
52.6%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
6.2%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
53.9%
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
16.2%
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x))))
12.6%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
58.1%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
23.2%
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
52.7%
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
38.1%
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
Compiler

Compiled 375 to 276 computations (26.4% saved)

series259.0ms (5.7%)

Memory
-13.3MiB live, 223.4MiB allocated; 98ms collecting garbage
Counts
36 → 88
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/4 binary64) p)
#s(literal 1/4 binary64)
p
x
#s(literal 1/2 binary64)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x)))
(/.f64 (*.f64 p p) (*.f64 x x))
(*.f64 p p)
(*.f64 x x)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
#s(literal -1/8 binary64)
(/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))
#s(literal -4 binary64)
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))
#s(literal -2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 p #s(literal 2 binary64))
Outputs
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))))
#s(approx (+ (* (/ 1/4 p) x) 1/2) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
#s(approx (+ (* (/ 1/4 p) x) 1/2) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/2 binary64) p)) p))
#s(approx (/ 1/4 p) (/.f64 #s(literal 1/4 binary64) p))
#s(approx p p)
#s(approx (/ (* p p) (* x x)) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* p p) (pow.f64 p #s(literal 2 binary64)))
#s(approx (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) p))
#s(approx (/ x (* p (sqrt 1/2))) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (* p (sqrt 1/2)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))
#s(approx (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #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 (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2)) (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64))))
#s(approx (pow p 4) (pow.f64 p #s(literal 4 binary64)))
#s(approx (* -2 (pow p 4)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 5 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))))
#s(approx (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) p) (*.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)) p))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x))) p))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx x x)
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2)) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) #s(literal 1 binary64))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 4 binary64))))))) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))))))
#s(approx (+ (* (/ 1/4 p) x) 1/2) (*.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) (*.f64 x (-.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) x)))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))))))) x)))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64)))))))))) x)))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))))))))) x)))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))))) x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
Calls

6 calls:

TimeVariablePoint
9.0ms
x
0
6.0ms
p
-inf
5.0ms
p
0
4.0ms
p
inf
4.0ms
x
-inf

rewrite154.0ms (3.4%)

Memory
-13.4MiB live, 174.9MiB allocated; 36ms collecting garbage
Counts
36 → 110
Calls
Call 1
Inputs
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1/4 binary64) p)
#s(literal 1/4 binary64)
p
x
#s(literal 1/2 binary64)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x))))
#s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x)))
(/.f64 (*.f64 p p) (*.f64 x x))
(*.f64 p p)
(*.f64 x x)
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
#s(literal -1/8 binary64)
(/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))
#s(literal -4 binary64)
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))
#s(literal -2 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 p #s(literal 2 binary64))
Outputs
(sqrt.f64 #s(approx (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
#s(approx (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4))))) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) p) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) x) p) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))
(fma.f64 x (/.f64 #s(literal 1/4 binary64) p) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) x) p))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))
(/.f64 #s(literal 1/4 binary64) p)
(/.f64 #s(literal -1/4 binary64) (neg.f64 p))
#s(literal 1/4 binary64)
p
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(fabs.f64 #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
#s(approx (sqrt (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(cosh.f64 #s(literal 0 binary64))
(exp.f64 #s(literal 0 binary64))
(sqrt.f64 #s(approx (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4))))) (/.f64 (*.f64 p p) (*.f64 x x))))
#s(approx (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4))))) (/.f64 (*.f64 p p) (*.f64 x x)))
(*.f64 (/.f64 p x) (/.f64 p x))
(*.f64 (*.f64 p p) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 p (/.f64 p (*.f64 x x)))
(/.f64 (*.f64 p p) (*.f64 x x))
(/.f64 (/.f64 (*.f64 p p) x) x)
(/.f64 (neg.f64 (*.f64 p p)) (neg.f64 (*.f64 x x)))
(*.f64 p p)
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 (neg.f64 p) (neg.f64 p))
(pow.f64 p #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
#s(approx (sqrt (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))))) (fma.f64 (/.f64 x (*.f64 p #s(literal 1/2 binary64))) #s(literal -1/8 binary64) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 p #s(literal 1/2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 p #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 p #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 x (*.f64 p #s(literal 1/2 binary64))) #s(literal -1/8 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 p #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 p #s(literal 1/2 binary64))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
(fabs.f64 #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p #s(literal 1/2 binary64))))
(*.f64 (/.f64 x (*.f64 p #s(literal 1/2 binary64))) #s(literal -1/8 binary64))
(/.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 p #s(literal 1/2 binary64)))
#s(literal -1/8 binary64)
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 p #s(literal 1/2 binary64))))
(/.f64 x (*.f64 p #s(literal 1/2 binary64)))
(/.f64 (/.f64 x p) #s(literal 1/2 binary64))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 p #s(literal 1/2 binary64))))
(*.f64 p #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) p)
(sqrt.f64 #s(approx (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) (*.f64 p p)) (*.f64 x x))))
#s(approx (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) (*.f64 p p)) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) (*.f64 p p)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 x x)) (*.f64 x x)) (/.f64 (*.f64 p p) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) (*.f64 p p)) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) (*.f64 p p))) (neg.f64 (*.f64 x x)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 x x)) (*.f64 p p))
(+.f64 (*.f64 p p) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 x x)) (neg.f64 (*.f64 p p)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) (*.f64 p p))
(fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 p p))
(fma.f64 p p (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 x x)))
(fma.f64 (neg.f64 p) (neg.f64 p) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 x x)))
(fma.f64 (fabs.f64 p) (fabs.f64 p) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 x x)))
(*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (neg.f64 (*.f64 x x)))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -4 binary64)))
(+.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))
(-.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -4 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))))
(-.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -4 binary64)) (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))))
(fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))
(fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -4 binary64)))
(fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -4 binary64)))
#s(literal -4 binary64)
(pow.f64 p #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 x x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(neg.f64 #s(literal -2 binary64))
(*.f64 p p)
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 (neg.f64 p) (neg.f64 p))
(pow.f64 p #s(literal 2 binary64))

eval24.0ms (0.5%)

Memory
7.5MiB live, 53.0MiB allocated; 6ms collecting garbage
Compiler

Compiled 8 497 to 1 074 computations (87.4% saved)

prune7.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1802182
Fresh000
Picked145
Done055
Total18111192
Accuracy
100.0%
Counts
192 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
52.6%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
6.2%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
53.9%
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
16.2%
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x))))
12.6%
(sqrt.f64 #s(approx (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) (*.f64 p p)) (*.f64 x x))))
14.1%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 #s(approx (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))
58.1%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
23.2%
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
52.7%
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
38.1%
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
Compiler

Compiled 291 to 211 computations (27.5% saved)

regimes185.0ms (4.1%)

Memory
-19.3MiB live, 172.9MiB allocated; 40ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
2 → 2
4 → 3
6 → 3
14 → 3
24 → 2
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
Outputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
Call 2
Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
Outputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
Call 3
Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
Outputs
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
Call 4
Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
Outputs
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
Call 5
Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
Outputs
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
Call 6
Inputs
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) x #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) #s(approx (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2) (/.f64 (*.f64 p p) (*.f64 x x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (+ 1/2 (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2)) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (+ 1/2 (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) (*.f64 p p)) (*.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 #s(approx (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
Outputs
#s(approx (sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* p p) 4)))) 1/2)) (neg.f64 (/.f64 (fabs.f64 p) x)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
Calls

33 calls:

55.0ms
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
21.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
15.0ms
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
10.0ms
p
6.0ms
x
Results
AccuracySegmentsBranch
38.1%1x
38.1%1(*.f64 (*.f64 #s(literal 4 binary64) p) p)
38.1%1p
38.1%1(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
38.1%1(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
38.1%1(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
38.1%1(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
79.3%2(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
79.3%2(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
79.3%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
79.3%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
73.0%2(*.f64 (*.f64 #s(literal 4 binary64) p) p)
73.0%2p
64.2%2x
81.9%3(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
81.9%3(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
81.9%3(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
81.9%3(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
98.9%3(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
98.9%3(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
98.9%3(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
98.9%3(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
99.4%3(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
99.4%3(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
99.4%3(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
99.4%3(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
83.1%1(*.f64 (*.f64 #s(literal 4 binary64) p) p)
99.8%2(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
99.8%2(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
99.8%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
99.8%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
83.1%1p
85.3%2x
Compiler

Compiled 979 to 460 computations (53% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.1674531638653967e-6
0.5692225278921936
Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7071078195274577
0.9999999999982347
0.0ms
2.1674531638653967e-6
0.5692225278921936
Compiler

Compiled 20 to 19 computations (5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7071078195274577
0.9999999999982347
0.0ms
2.1674531638653967e-6
0.5692225278921936
Compiler

Compiled 20 to 19 computations (5% saved)

bsearch16.0ms (0.4%)

Memory
35.6MiB live, 35.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
3.0ms
0.7071078195274577
0.9999999999982347
12.0ms
0.0
9.599401598218922e-8
Samples
5.0ms288×0valid
Compiler

Compiled 704 to 627 computations (10.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.7071078195274577
0.9999999999982347
Compiler

Compiled 172 to 151 computations (12.2% saved)

derivations2.0ms (0%)

Memory
4.7MiB live, 4.6MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 439 to 72 computations (83.6% saved)

preprocess65.0ms (1.4%)

Memory
-17.8MiB live, 121.9MiB allocated; 22ms collecting garbage
Remove

(abs p)

Compiler

Compiled 1 348 to 548 computations (59.3% saved)

end0.0ms (0%)

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

Profiling

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