Given's Rotation SVD example

Time bar (total: 28.6s)

start0.0ms (0.0%)

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

analyze340.0ms (1.2%)

Memory
3.1MiB live, 377.4MiB allocated; 54ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%48.6%51.4%0.0%0.0%0.0%0
0.0%0.0%48.6%51.4%0.0%0.0%0.0%1
0.0%0.0%48.6%51.4%0.0%0.0%0.0%2
0.0%0.0%48.6%51.4%0.0%0.0%0.0%3
0.0%0.0%48.6%51.4%0.0%0.0%0.0%4
31.3%15.2%33.4%51.4%0.0%0.0%0.0%5
34.4%16.7%31.9%51.4%0.0%0.0%0.0%6
51.6%25.1%23.6%51.4%0.0%0.0%0.0%7
53.1%25.8%22.8%51.4%0.0%0.0%0.0%8
62.5%30.4%18.2%51.4%0.0%0.0%0.0%9
63.7%31.0%17.7%51.4%0.0%0.0%0.0%10
68.6%33.3%15.3%51.4%0.0%0.0%0.0%11
69.2%33.7%15.0%51.4%0.0%0.0%0.0%12
Compiler

Compiled 27 to 21 computations (22.2% saved)

sample1.5s (5.2%)

Memory
47.9MiB live, 1 661.1MiB allocated; 261ms collecting garbage
Samples
600.0ms6 238×0valid
277.0ms999×2valid
153.0ms424×3valid
108.0ms595×1valid
Precisions
Click to see histograms. Total time spent on operations: 742.0ms
ival-sqrt: 237.0ms (31.9% of total)
ival-mult!: 225.0ms (30.3% of total)
adjust: 107.0ms (14.4% of total)
ival-add!: 88.0ms (11.9% of total)
ival-div!: 78.0ms (10.5% of total)
ival-fabs: 4.0ms (0.5% of total)
ival-<: 2.0ms (0.3% of total)
ival-assert: 1.0ms (0.1% of total)
ival-and: 1.0ms (0.1% of total)
Bogosity

preprocess38.0ms (0.1%)

Memory
-13.1MiB live, 32.7MiB allocated; 6ms 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
78.8%
(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)

series63.0ms (0.2%)

Memory
44.8MiB live, 90.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06885592
Stop Event
iter-limit
Counts
14 → 118
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
#s(literal 4 binary64)
p
(*.f64 #s(literal 4 binary64) p)
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
(*.f64 x x)
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
(+.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))))))
(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)))))))
Outputs
#s(approx p p)
#s(approx (* 4 p) (*.f64 #s(literal 4 binary64) p))
#s(approx (* (* 4 p) p) (*.f64 #s(literal 4 binary64) (pow.f64 p #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)) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (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)) (+.f64 (*.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)) (+.f64 (*.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 (/ 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)))) (+.f64 (*.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)))) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (*.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)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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 (*.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) (/.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) (+.f64 (*.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) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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 (*.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 (* 1/2 (+ 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)))))) (+.f64 (*.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)))))) (+.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)) (+.f64 (*.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)) (+.f64 (*.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)))))) (+.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)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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 #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 (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)) (+.f64 (*.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) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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 (+ (* (* 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 (+ (* (* 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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.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)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (/.f64 (+.f64 (*.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))
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#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) (+.f64 (*.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)))))
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#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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.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 (*.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 (/ 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)) (+.f64 (*.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)) (+.f64 (*.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 (*.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 (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) (+.f64 (*.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) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.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)))) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.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 (+ 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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 (* 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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.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 (*.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 (+ 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 (+.f64 (*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.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 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)) (+.f64 (*.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)) (+.f64 (*.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)))) (/.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 (+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (+ 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 (+.f64 (*.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 (+.f64 (*.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 (* 1/2 (+ 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 (+.f64 (*.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 (+.f64 (*.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 (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)))))))))
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#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))
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#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 (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.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) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (+.f64 (*.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))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.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)) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (+.f64 (*.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) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (+.f64 (*.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)))
Calls

6 calls:

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

rewrite221.0ms (0.8%)

Memory
-27.7MiB live, 274.1MiB allocated; 134ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01494
02394
19894
238394
3147694
0456667
Stop Event
iter-limit
node-limit
iter-limit
Counts
14 → 1 090
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
#s(literal 4 binary64)
p
(*.f64 #s(literal 4 binary64) p)
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
(*.f64 x x)
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
(+.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))))))
(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)))))))
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
#s(literal 4 binary64)
p
(*.f64 p #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) p)
(*.f64 (*.f64 #s(literal 4 binary64) (fabs.f64 p)) (fabs.f64 p))
(*.f64 (*.f64 #s(literal -4 binary64) p) (neg.f64 p))
(*.f64 (fabs.f64 p) (*.f64 (fabs.f64 p) #s(literal 4 binary64)))
(*.f64 (neg.f64 p) (*.f64 #s(literal -4 binary64) p))
(*.f64 (*.f64 p p) #s(literal 4 binary64))
(*.f64 (*.f64 p #s(literal 4 binary64)) p)
(*.f64 p (*.f64 p #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 p p))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) #s(literal 0 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x))) (*.f64 x x))
(*.f64 (pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1 binary64)) (pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1 binary64)))
(*.f64 (pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 x x))) (*.f64 x x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 p #s(literal 4 binary64)) p))) (*.f64 (*.f64 p #s(literal 4 binary64)) p))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p))) (*.f64 (*.f64 p #s(literal 4 binary64)) p))
(*.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x))) #s(literal 0 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) (pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 0 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) (pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) #s(literal 0 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 2 binary64))
(pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 #s(literal -4 binary64) (*.f64 p p)))) (+.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 #s(literal -4 binary64) (*.f64 p p))) (*.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))))
(/.f64 (pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 (*.f64 p #s(literal 4 binary64)) p))) (-.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 (*.f64 p #s(literal 4 binary64)) p)) (*.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 (*.f64 p #s(literal 4 binary64)) p)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 (*.f64 p #s(literal 4 binary64)) p)) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 (*.f64 p #s(literal 4 binary64)) p)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 (*.f64 p #s(literal 4 binary64)) p)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 p #s(literal 4 binary64)) p) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) (pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) #s(literal -1 binary64)))
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(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))))))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(fabs.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (-.f64 (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))))
(fabs.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(+.f64 (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (*.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64))
(+.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (sqrt.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (sqrt.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))
(*.f64 (pow.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) (pow.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 0 binary64)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))) (sqrt.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64))) (sqrt.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (*.f64 (neg.f64 x) #s(literal 1/2 binary64)))) (sqrt.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)))) (sqrt.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64))) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))

eval2.9s (10.3%)

Memory
140.8MiB live, 3 696.4MiB allocated; 650ms collecting garbage
Samples
2.1s34 872×0valid
188.0ms3 016×0invalid
Compiler

Compiled 31 127 to 6 098 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 827.0ms
ival-mult!: 627.0ms (75.9% of total)
ival-sub!: 112.0ms (13.6% of total)
adjust: 57.0ms (6.9% of total)
ival-sqrt: 31.0ms (3.8% of total)

prune365.0ms (1.3%)

Memory
-0.9MiB live, 463.2MiB allocated; 54ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1 175201 195
Fresh000
Picked101
Done000
Total1 176201 196
Accuracy
91.8%
Counts
1 196 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(/.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
78.8%
(sqrt.f64 (/.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
78.8%
(sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
78.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
74.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
77.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
63.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p))) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))))))
73.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
78.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x))))
6.3%
(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)))))
34.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
15.4%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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)))))
15.8%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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)))))
51.6%
(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)))))
50.7%
(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)))))
55.6%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
78.8%
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
50.8%
#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)))))))
15.1%
#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 (+.f64 (*.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)))
19.3%
#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)))
Samples
268.0ms4 608×0valid
Compiler

Compiled 1 080 to 734 computations (32.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 129.0ms
ival-mult!: 63.0ms (48.8% of total)
ival-sqrt: 45.0ms (34.9% of total)
ival-sub!: 13.0ms (10.1% of total)
adjust: 9.0ms (7.0% of total)

series119.0ms (0.4%)

Memory
17.2MiB live, 157.0MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151114457
Stop Event
iter-limit
Counts
35 → 266
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
p
(neg.f64 p)
(4-sqrtz0z0z1z24 x (neg.f64 p) p)
(/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #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(literal 1/4 binary64)
(/.f64 x p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(+.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))))
(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)))))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)
(*.f64 x x)
#s(literal -4 binary64)
(*.f64 p p)
(*.f64 #s(literal -4 binary64) (*.f64 p p))
(-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))
(/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
Outputs
#s(approx p p)
#s(approx (neg p) (*.f64 #s(literal -1 binary64) p))
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (+.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 (- (* x x) (* (neg p) (* p 4)))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (- (* x x) (* (neg p) (* p 4)))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (+.f64 (*.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 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 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 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 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 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) x) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) x) (+.f64 (*.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 (sqrt (- (* x x) (* (neg p) (* p 4))))) x) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (sqrt (- (* x x) (* (neg p) (* p 4))))) x) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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 (*.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 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) x)) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.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 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) x)) (+.f64 #s(literal 1 binary64) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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 (*.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 (* 1/2 (+ 1 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) 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 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) x))) (+.f64 (*.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 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) x))) (+.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)) (+.f64 (*.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)) (+.f64 (*.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 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) x))) (+.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)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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 #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 (sqrt (* 1/2 (+ 1 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) 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 (* (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) 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)))))))
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#s(approx x x)
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ (* (sqrt (- (* x x) (* (neg p) (* p 4)))) x) (- (* x x) (* -4 (* p p))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ (* (sqrt (- (* x x) (* (neg p) (* p 4)))) x) (- (* x x) (* -4 (* p p))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ (* (sqrt (- (* x x) (* (neg p) (* p 4)))) x) (- (* x x) (* -4 (* p p))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ (* (sqrt (- (* x x) (* (neg p) (* p 4)))) x) (- (* x x) (* -4 (* p p))))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.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 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))) x)))
Calls

6 calls:

TimeVariablePoint
13.0ms
x
inf
8.0ms
x
-inf
7.0ms
p
inf
7.0ms
x
0
7.0ms
p
0

rewrite464.0ms (1.6%)

Memory
-0.9MiB live, 1 045.6MiB allocated; 93ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044399
075265
1370257
21557257
04418257
Stop Event
iter-limit
node-limit
iter-limit
Counts
35 → 2 471
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
p
(neg.f64 p)
(4-sqrtz0z0z1z24 x (neg.f64 p) p)
(/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #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(literal 1/4 binary64)
(/.f64 x p)
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(+.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))))
(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)))))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)
(*.f64 x x)
#s(literal -4 binary64)
(*.f64 p p)
(*.f64 #s(literal -4 binary64) (*.f64 p p))
(-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))
(/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
p
(neg.f64 p)
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) (/.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (/.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (/.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (/.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (sqrt.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (pow.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1/2 binary64)) (pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (*.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (*.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 #s(literal -1 binary64) (/.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 #s(literal -1 binary64) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 0 binary64)))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 #s(literal 1/2 binary64) (/.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64))
(pow.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1 binary64))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (*.f64 (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))
(/.f64 (neg.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (neg.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x))) (-.f64 (*.f64 (*.f64 p p) #s(literal -4 binary64)) (*.f64 x x)))
(/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))
(/.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
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(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))
(/.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x))))
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(-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))) (/.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x))) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))) (-.f64 (*.f64 (*.f64 p p) #s(literal -4 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64))) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 p p) #s(literal -4 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))
(/.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(/.f64 (*.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)) (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (neg.f64 x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(fabs.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x))) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64))) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) #s(literal 1/2 binary64))) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))

eval7.8s (27.5%)

Memory
310.9MiB live, 9 986.3MiB allocated; 2.5s collecting garbage
Samples
5.6s87 152×0valid
374.0ms6 032×0invalid
Compiler

Compiled 89 103 to 12 464 computations (86.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-mult!: 1.6s (77.8% of total)
ival-sub!: 308.0ms (14.7% of total)
adjust: 132.0ms (6.3% of total)
ival-sqrt: 26.0ms (1.2% of total)

prune621.0ms (2.2%)

Memory
1.0MiB live, 841.6MiB allocated; 199ms collecting garbage
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New2 190122 202
Fresh21315
Picked505
Done-220
Total2 195272 222
Accuracy
91.8%
Counts
2 222 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(/.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
78.8%
(sqrt.f64 (/.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
78.8%
(sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
78.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
40.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (*.f64 #s(literal 4 binary64) p) p)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
74.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))))
72.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
50.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
77.1%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
77.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))) x))))
6.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -1 binary64) x))) #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -1 binary64) x))) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -1 binary64) x))))))))
70.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (/.f64 #s(literal 1/2 binary64) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x #s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (/.f64 #s(literal 1/2 binary64) p)))))))
73.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))))
77.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))) x))))
78.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x))))
7.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (/.f64 #s(literal -1 binary64) x)) x))))
6.3%
(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)))))
34.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
15.4%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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)))))
15.8%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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)))))
51.6%
(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)))))
50.7%
(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)))))
55.6%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
78.8%
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
50.8%
#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)))))))
15.1%
#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 (+.f64 (*.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)))
19.3%
#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)))
Samples
430.0ms6 656×0valid
Compiler

Compiled 1 562 to 994 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-mult!: 116.0ms (52.7% of total)
ival-sqrt: 75.0ms (34.1% of total)
ival-sub!: 18.0ms (8.2% of total)
adjust: 11.0ms (5.0% of total)

series237.0ms (0.8%)

Memory
27.9MiB live, 313.8MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0262026891
Stop Event
iter-limit
Counts
43 → 426
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
(*.f64 x x)
p
(*.f64 p p)
#s(literal -4 binary64)
(*.f64 (*.f64 p p) #s(literal -4 binary64))
(-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 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(literal -2 binary64)
(*.f64 #s(literal -2 binary64) p)
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p))
(*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x)
(*.f64 #s(literal -4 binary64) (*.f64 p p))
(-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))
(/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
(neg.f64 p)
(4-sqrtz0z0z1z24 x (neg.f64 p) p)
(sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
#s(literal -1 binary64)
(pow.f64 p #s(literal 2 binary64))
(sqrt.f64 (pow.f64 p #s(literal 2 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))
#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)))
Outputs
#s(approx p p)
#s(approx (* p p) (pow.f64 p #s(literal 2 binary64)))
#s(approx (* (* p p) -4) (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))
#s(approx (- (* x x) (* (* p p) -4)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (- (* x x) (* (* p p) -4)) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (- (* x x) (* (* p p) -4))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (- (* x x) (* (* p p) -4))) (+.f64 (*.f64 #s(literal -4 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 (- (* x x) (* (* p p) -4))) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (- (* x x) (* (* p p) -4))) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -64 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))))
#s(approx (* (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) x) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) x) (+.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))))))
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#s(approx (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (*.f64 #s(literal -1 binary64) (*.f64 p (sqrt.f64 (/.f64 #s(literal -2 binary64) p)))))
#s(approx (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) p)))))))))
#s(approx (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) p))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) p))))) (pow.f64 p #s(literal 3 binary64))))))))
#s(approx (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) p))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -2 binary64) p)))))) (pow.f64 p #s(literal 3 binary64))))))))
#s(approx (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64))))
#s(approx (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))))
#s(approx (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64))))) (pow.f64 p #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))))
#s(approx (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))))
#s(approx (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))))
#s(approx (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64))))) (pow.f64 p #s(literal 3 binary64)))) (/.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))))
#s(approx (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 6 binary64))))) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64)))))) (pow.f64 p #s(literal 3 binary64)))) (/.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))))
#s(approx (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))))) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64))))))
#s(approx (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64))))) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))))))
#s(approx (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))))) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))))) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 4 binary64)))))) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) p)) #s(literal 2 binary64))))))))
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#s(approx x x)
#s(approx (- (* x x) (* (* p p) -4)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (/ 1 (- (* x x) (* (* p p) -4))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (/ 1 (- (* x x) (* (* p p) -4))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (/ 1 (- (* x x) (* (* p p) -4))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 8 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 6 binary64)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 8 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (* (sqrt (/ 1 (- (* x x) (* (* p p) -4)))) x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 p #s(literal 2 binary64))))))
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#s(approx (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))))
#s(approx (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) x))))
#s(approx (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) x))))
#s(approx (* 1/2 (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))) x))))
#s(approx (* 1/2 (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (* (sqrt (sqrt (- (* x x) (* (neg p) (* p 4))))) (sqrt (sqrt (- (* x x) (* (neg p) (* p 4)))))))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 6 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 -1 binary64) x)) #s(literal 4 binary64)))))) x)) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))) x))))
Calls

6 calls:

TimeVariablePoint
18.0ms
p
0
16.0ms
x
-inf
15.0ms
p
inf
12.0ms
x
inf
10.0ms
x
0

rewrite490.0ms (1.7%)

Memory
5.4MiB live, 960.8MiB allocated; 120ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058447
094385
1412353
21439341
04029341
Stop Event
iter-limit
node-limit
iter-limit
Counts
43 → 1 696
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
(*.f64 x x)
p
(*.f64 p p)
#s(literal -4 binary64)
(*.f64 (*.f64 p p) #s(literal -4 binary64))
(-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x)
(+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x))))
#s(literal 2 binary64)
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 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(literal -2 binary64)
(*.f64 #s(literal -2 binary64) p)
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p))
(*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x)
(*.f64 #s(literal -4 binary64) (*.f64 p p))
(-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))
(/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
(neg.f64 p)
(4-sqrtz0z0z1z24 x (neg.f64 p) p)
(sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
#s(literal -1 binary64)
(pow.f64 p #s(literal 2 binary64))
(sqrt.f64 (pow.f64 p #s(literal 2 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))
#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)))
Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
x
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
p
(*.f64 (pow.f64 (fabs.f64 p) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 p) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 p) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 p) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1 binary64)) (pow.f64 (fabs.f64 p) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 p) #s(literal 1 binary64)) (fabs.f64 p))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1 binary64)) (pow.f64 (neg.f64 p) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1 binary64)) (neg.f64 p))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 p))) (neg.f64 (neg.f64 (fabs.f64 p))))
(*.f64 (pow.f64 p #s(literal 1 binary64)) (pow.f64 p #s(literal 1 binary64)))
(*.f64 (pow.f64 p #s(literal 1 binary64)) p)
(*.f64 (pow.f64 p (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 p (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 p)) (neg.f64 (fabs.f64 p)))
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 (neg.f64 p) (neg.f64 p))
(*.f64 (*.f64 p p) #s(literal 1 binary64))
(*.f64 p p)
(*.f64 #s(literal 1 binary64) (*.f64 p p))
(pow.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 p)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 p) #s(literal 2 binary64))
(pow.f64 (neg.f64 p) #s(literal 2 binary64))
(pow.f64 (*.f64 p p) #s(literal 1 binary64))
(pow.f64 p #s(literal 2 binary64))
(/.f64 (pow.f64 (fabs.f64 p) #s(literal 1 binary64)) (pow.f64 (fabs.f64 p) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 p) #s(literal 1 binary64)) (pow.f64 (neg.f64 p) #s(literal -1 binary64)))
(/.f64 (pow.f64 p #s(literal 1 binary64)) (pow.f64 p #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 p) p))
(sqrt.f64 (*.f64 (*.f64 p p) (*.f64 p p)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 p)) (neg.f64 p)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 p)) p))
(fabs.f64 (*.f64 (fabs.f64 p) (neg.f64 p)))
(fabs.f64 (*.f64 (fabs.f64 p) p))
(fabs.f64 (*.f64 (neg.f64 p) (neg.f64 (fabs.f64 p))))
(fabs.f64 (*.f64 (neg.f64 p) (fabs.f64 p)))
(fabs.f64 (*.f64 p (neg.f64 (fabs.f64 p))))
(fabs.f64 (*.f64 p (fabs.f64 p)))
(fabs.f64 (*.f64 (neg.f64 p) p))
(fabs.f64 (*.f64 p p))
(exp.f64 (*.f64 (log.f64 (fabs.f64 p)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 p)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)))
#s(literal -4 binary64)
(*.f64 (*.f64 (neg.f64 p) #s(literal 4 binary64)) p)
(*.f64 (*.f64 #s(literal -4 binary64) (fabs.f64 p)) (fabs.f64 p))
(*.f64 (*.f64 #s(literal -4 binary64) (neg.f64 p)) (neg.f64 p))
(*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) p)) p)
(*.f64 (*.f64 #s(literal -4 binary64) p) p)
(*.f64 (*.f64 (neg.f64 p) p) #s(literal 4 binary64))
(*.f64 (fabs.f64 p) (*.f64 (fabs.f64 p) #s(literal -4 binary64)))
(*.f64 (neg.f64 p) (*.f64 (neg.f64 p) #s(literal -4 binary64)))
(*.f64 (neg.f64 p) (*.f64 #s(literal 4 binary64) p))
(*.f64 (*.f64 #s(literal 4 binary64) p) (neg.f64 p))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 p) p))
(*.f64 #s(literal -4 binary64) (*.f64 p p))
(*.f64 (*.f64 p p) #s(literal -4 binary64))
(*.f64 p (*.f64 #s(literal 4 binary64) (neg.f64 p)))
(*.f64 p (neg.f64 (*.f64 #s(literal 4 binary64) p)))
(*.f64 p (*.f64 #s(literal -4 binary64) p))
(neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 p p)))
(*.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (neg.f64 (neg.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))) (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (neg.f64 (neg.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 p p))))) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 p p))))
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(*.f64 (fabs.f64 p) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 p))
(pow.f64 (*.f64 p p) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 p p))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 p)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (neg.f64 p) #s(literal 1 binary64)))
(fabs.f64 (*.f64 p #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 p))))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 p)))
(fabs.f64 (*.f64 #s(literal 1 binary64) p))
(fabs.f64 (neg.f64 (neg.f64 (fabs.f64 p))))
(fabs.f64 (neg.f64 (fabs.f64 p)))
(fabs.f64 (fabs.f64 p))
(fabs.f64 (neg.f64 p))
(fabs.f64 p)
(exp.f64 (*.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 p))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 p))
(*.f64 (neg.f64 (fabs.f64 p)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (fabs.f64 p) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 p)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 p))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (fabs.f64 p)) (neg.f64 x))
(/.f64 (fabs.f64 p) x)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (fabs.f64 p)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (fabs.f64 p))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fabs.f64 p)))
(neg.f64 (/.f64 (fabs.f64 p) (neg.f64 x)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 p))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (neg.f64 (fabs.f64 p)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 p))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (fabs.f64 p)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fabs.f64 p) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 p) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (fabs.f64 p) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 p) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 p) x))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 p)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 p)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 p)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 p))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 p))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 p))) (neg.f64 x))
(/.f64 (neg.f64 (fabs.f64 p)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (fabs.f64 p)) x)
(/.f64 (fabs.f64 p) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 p)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 (fabs.f64 p)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (neg.f64 (neg.f64 (fabs.f64 p)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 p))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (fabs.f64 p)))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (fabs.f64 p))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 p) x)))
(neg.f64 (*.f64 (/.f64 (fabs.f64 p) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 (fabs.f64 p) x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (fabs.f64 p) (neg.f64 x)))

eval4.9s (17.1%)

Memory
230.9MiB live, 6 302.4MiB allocated; 1.0s collecting garbage
Samples
3.5s59 188×0valid
207.0ms3 016×0invalid
26.0ms260×1valid
Compiler

Compiled 73 006 to 10 887 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-mult!: 1.0s (74.6% of total)
ival-sub!: 187.0ms (14.0% of total)
adjust: 125.0ms (9.3% of total)
ival-sqrt: 28.0ms (2.1% of total)

prune230.0ms (0.8%)

Memory
3.8MiB live, 296.0MiB allocated; 52ms collecting garbage
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New1 70841 712
Fresh11920
Picked505
Done-242
Total1 722171 739
Accuracy
100.0%
Counts
1 739 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.0%
(/.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
78.8%
(sqrt.f64 (/.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
78.8%
(sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
78.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x)) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x) #s(literal -1 binary64)))))))
78.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
78.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x))))
34.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
15.4%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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)))))
15.8%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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)))))
51.6%
(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)))))
50.7%
(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)))))
55.6%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
78.8%
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
27.6%
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
50.8%
#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)))))))
27.6%
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (fabs.f64 p) (/.f64 #s(literal -1 binary64) x)))
15.1%
#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 (+.f64 (*.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)))
Samples
144.0ms2 560×0valid
Compiler

Compiled 970 to 609 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult!: 37.0ms (53.8% of total)
ival-sqrt: 22.0ms (32.0% of total)
ival-sub!: 7.0ms (10.2% of total)
adjust: 3.0ms (4.4% of total)

series144.0ms (0.5%)

Memory
10.1MiB live, 194.4MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150214293
Stop Event
iter-limit
Counts
43 → 249
Calls
Call 1
Inputs
x
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
p
(neg.f64 p)
(4-sqrtz0z0z1z24 x (neg.f64 p) p)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))
(log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
(*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 p)
(neg.f64 (fabs.f64 p))
(/.f64 (neg.f64 (fabs.f64 p)) x)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 x (*.f64 p (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))))))
#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(literal 2 binary64)
(*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -4 binary64)
#s(literal 4 binary64)
(pow.f64 p #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))
(+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 p p)
#s(approx (neg p) (*.f64 #s(literal -1 binary64) p))
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (+.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 (- (* x x) (* (neg p) (* p 4)))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (- (* x x) (* (neg p) (* p 4)))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) (+.f64 (*.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 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.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 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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 #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 (exp (* (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -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)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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 (fabs p) (fabs.f64 p))
#s(approx (neg (fabs p)) (*.f64 #s(literal -1 binary64) (fabs.f64 p)))
#s(approx (/ (neg (fabs p)) x) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 p) x)))
#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)) (+.f64 (*.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) (+.f64 (*.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)) (+.f64 (*.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)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.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) (+.f64 (*.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) (+.f64 (*.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 (* p (sqrt 1/2)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (/ x (* p (sqrt 1/2))) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))
#s(approx (* -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 (+.f64 (*.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 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2) (*.f64 #s(literal 2 binary64) (+.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 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2) (+.f64 (*.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 #s(literal 2 binary64) (+.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 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2) (+.f64 (*.f64 #s(literal 2 binary64) (+.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)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (sqrt (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
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#s(approx (/ (sqrt (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2)) (sqrt 2)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2)) (sqrt 2)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) p)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (/ (sqrt (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2)) (sqrt 2)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 p (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) p)) (*.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) p)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))
#s(approx x x)
#s(approx (* x 1/2) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (+.f64 (sqrt.f64 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.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 (neg.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 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) (*.f64 x (+.f64 (*.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 (neg.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 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.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 (neg.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 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
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#s(approx (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.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 (neg.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 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 x (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.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) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (* (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) 1/2) (+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (exp (* (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (exp (* (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.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 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (exp (* (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.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 (neg.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 (neg.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 (neg.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 (neg.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 #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 (+.f64 (*.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 (+.f64 (*.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 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.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 (neg.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 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (sqrt (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -3/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
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#s(approx (/ (sqrt (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.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 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) x)))
#s(approx (/ (sqrt (* (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2) 2)) (sqrt 2)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.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)) (+.f64 (*.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 1/2 binary64) (/.f64 (*.f64 (+.f64 (*.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 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.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 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 1/4 binary64) (/.f64 (pow.f64 (+.f64 (*.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 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.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)) (+.f64 (*.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)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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
18.0ms
p
inf
15.0ms
p
0
12.0ms
x
-inf
10.0ms
x
inf
9.0ms
x
0

rewrite289.0ms (1.0%)

Memory
-31.4MiB live, 511.2MiB allocated; 102ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053412
087344
1379341
21544335
04102332
Stop Event
iter-limit
node-limit
iter-limit
Counts
43 → 1 280
Calls
Call 1
Inputs
x
#s(literal 1/2 binary64)
(*.f64 x #s(literal 1/2 binary64))
p
(neg.f64 p)
(4-sqrtz0z0z1z24 x (neg.f64 p) p)
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))
(log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
(*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 p)
(neg.f64 (fabs.f64 p))
(/.f64 (neg.f64 (fabs.f64 p)) x)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal -1/8 binary64)
(*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 x (*.f64 p (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))))))
#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(literal 2 binary64)
(*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(literal -4 binary64)
#s(literal 4 binary64)
(pow.f64 p #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)))
#s(literal -2 binary64)
(*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))
(+.f64 (*.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 (+.f64 (*.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 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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
x
#s(literal 1/2 binary64)
(*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/2 binary64) x))
p
(neg.f64 p)
(*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 1 binary64))
(pow.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))) #s(literal 1/2 binary64))
(4-sqrtz0z0z1z24 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 p) p)
(4-sqrtz0z0z1z24 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 p) p)
(4-sqrtz0z0z1z24 (neg.f64 (fabs.f64 x)) (neg.f64 p) p)
(4-sqrtz0z0z1z24 (neg.f64 (neg.f64 x)) (neg.f64 p) p)
(4-sqrtz0z0z1z24 (fabs.f64 x) (neg.f64 p) p)
(4-sqrtz0z0z1z24 (neg.f64 x) (neg.f64 p) p)
(4-sqrtz0z0z1z24 x (neg.f64 p) p)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(sqrt.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(fabs.f64 (*.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(fabs.f64 (neg.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(fabs.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(fabs.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) x) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))
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(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
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#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 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
#s(literal 2 binary64)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x))) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(/.f64 (+.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x))) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64))) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(/.f64 (+.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64))) (4-sqrtz0z0z1z24 x (neg.f64 p) p))
(/.f64 (+.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) #s(literal -2 binary64)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) #s(literal 2 binary64)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)))) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal -2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))) (*.f64 #s(literal -2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 #s(literal -2 binary64) (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)))) (*.f64 #s(literal -2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))) (*.f64 #s(literal 2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))) #s(literal -4 binary64))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x)) #s(literal 2 binary64)))
(neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x))))
(neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x)) #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cosh.f64 (asinh.f64 #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
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eval6.4s (22.5%)

Memory
263.8MiB live, 8 597.9MiB allocated; 1.5s collecting garbage
Samples
3.2s56 552×0valid
1.8s29 464×0invalid
Compiler

Compiled 72 146 to 8 912 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult!: 1.2s (76.1% of total)
ival-sub!: 244.0ms (15.4% of total)
adjust: 117.0ms (7.4% of total)
ival-sqrt: 20.0ms (1.3% of total)

prune172.0ms (0.6%)

Memory
12.2MiB live, 253.7MiB allocated; 39ms collecting garbage
Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New1 67371 680
Fresh178
Picked505
Done-484
Total1 675221 697
Accuracy
100.0%
Counts
1 697 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.8%
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
78.0%
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
78.0%
(/.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
78.0%
(/.f64 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
78.8%
(sqrt.f64 (/.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
78.8%
(sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
78.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x)) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x) #s(literal -1 binary64)))))))
78.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x))))
34.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
8.4%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 p p) x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))))
15.4%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 p p) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x))))
15.8%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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)))))
51.6%
(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)))))
50.7%
(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)))))
55.6%
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
78.8%
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
14.7%
(exp.f64 (*.f64 (log.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 p p) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64)))
16.8%
(exp.f64 (*.f64 #s(approx (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) (+.f64 (log.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1/2 binary64)))
27.6%
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
50.8%
#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)))))))
27.6%
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (fabs.f64 p) (/.f64 #s(literal -1 binary64) x)))
15.1%
#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 (+.f64 (*.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)))
Samples
101.0ms1 792×0valid
Compiler

Compiled 691 to 458 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult!: 28.0ms (57.7% of total)
ival-sqrt: 14.0ms (28.9% of total)
ival-sub!: 5.0ms (10.3% of total)
adjust: 2.0ms (4.1% of total)

regimes308.0ms (1.1%)

Memory
-2.0MiB live, 367.2MiB allocated; 109ms collecting garbage
Counts
1 → 1
2 → 2
6 → 3
9 → 3
13 → 2
44 → 2
Calls
Call 1
Inputs
(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)))
Call 2
Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
Outputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
Call 3
Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (fabs.f64 p) (/.f64 #s(literal -1 binary64) 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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
Outputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
Call 4
Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (fabs.f64 p) (/.f64 #s(literal -1 binary64) 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 (+ 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) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (/.f64 #s(literal -1 binary64) 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)))))))
Outputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
Call 5
Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (fabs.f64 p) (/.f64 #s(literal -1 binary64) 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 (+ 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) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (/.f64 #s(literal -1 binary64) 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)))))))
(sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) 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) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
Outputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
Call 6
Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (fabs.f64 p) (/.f64 #s(literal -1 binary64) 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 (+ 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) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (/.f64 #s(literal -1 binary64) 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)))))))
(sqrt.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) 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) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -2 binary64) p)) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x))))
(sqrt.f64 (/.f64 (*.f64 (+.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -1 binary64) x))) #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -1 binary64) x))) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (sqrt (- (* x x) (* (neg p) (* p 4)))) (*.f64 #s(literal -1 binary64) x))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p))) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (/.f64 #s(literal 1/2 binary64) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x #s(approx (/ 1 (sqrt (- (* x x) (* (neg p) (* p 4))))) (/.f64 #s(literal 1/2 binary64) p)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p))) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)))) x))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x)) (neg.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (sqrt.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p))) x) (-.f64 (*.f64 x x) (*.f64 #s(literal -4 binary64) (*.f64 p p)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (4-sqrtz0z0z1z24 x (neg.f64 p) p) x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (*.f64 #s(literal 4 binary64) p) p)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (/.f64 #s(literal 1 binary64) (4-sqrtz0z0z1z24 x (neg.f64 p) 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 (sqrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 p p) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 p p) x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 p p) (/.f64 (*.f64 (*.f64 #s(literal -6 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 x x))) (*.f64 x x)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p))) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x)) (+.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 p p)) (*.f64 x x)))) x) #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (*.f64 (-.f64 (/.f64 x (4-sqrtz0z0z1z24 x (neg.f64 p) p)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (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 (+.f64 (*.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)))
(exp.f64 (*.f64 #s(approx (log (- (/ (* x 1/2) (sqrt (- (* x x) (* (neg p) (* p 4))))) -1/2)) (+.f64 (log.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.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)))))
Outputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 p p) #s(literal -4 binary64))))) x))))
Calls

33 calls:

100.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
33.0ms
(*.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))))))
13.0ms
p
11.0ms
x
10.0ms
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
Results
AccuracySegmentsBranch
55.6%1x
55.6%1(*.f64 (*.f64 #s(literal 4 binary64) p) p)
55.6%1p
55.6%1(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
55.6%1(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
55.6%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))))))
55.6%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)))))))
71.3%2p
71.3%2(*.f64 (*.f64 #s(literal 4 binary64) p) p)
62.0%2x
79.7%2(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
79.7%2(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
79.7%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))))))
79.7%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)))))))
98.1%3(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
98.1%3(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
98.1%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))))))
98.1%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)))))))
98.7%3(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
98.7%3(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
98.7%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))))))
98.7%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)))))))
99.8%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)))))))
82.2%3(*.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)))))))
82.2%3p
82.1%2x
Samples
15.0ms256×0valid
Compiler

Compiled 1 744 to 623 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult!: 3.0ms (45.2% of total)
ival-sqrt: 2.0ms (30.1% of total)
ival-sub!: 1.0ms (15.1% of total)
adjust: 0.0ms (0.0% of total)

bsearch1.0ms (0.0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.0004375284568373028
Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.0004375284568373028
Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch1.0ms (0.0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9142955875857848
0.9999999999999933
0.0ms
0.19883737374879293
0.7071067811865476
Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch1.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7071240770687933
0.9142955875857848
0.0ms
0.19883737374879293
0.7071067811865476
Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch0.0ms (0.0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.19883737374879293
0.7071067811865476
Compiler

Compiled 36 to 31 computations (13.9% saved)

derivations114.0ms (0.4%)

Memory
-6.9MiB live, 134.5MiB allocated; 38ms collecting garbage
Stop Event
fuel
Samples
18.0ms256×0valid
Compiler

Compiled 406 to 74 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sqrt: 6.0ms (54.9% of total)
ival-mult!: 4.0ms (36.6% of total)
ival-sub!: 1.0ms (9.2% of total)
adjust: 0.0ms (0.0% of total)

preprocess787.0ms (2.8%)

Memory
37.1MiB live, 1 362.4MiB allocated; 274ms collecting garbage
Samples
583.0ms8 512×0valid
Compiler

Compiled 1 247 to 556 computations (55.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 286.0ms
ival-mult!: 147.0ms (51.4% of total)
ival-sqrt: 86.0ms (30.1% of total)
ival-sub!: 43.0ms (15.0% of total)
adjust: 10.0ms (3.5% of total)

end0.0ms (0.0%)

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

Profiling

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