Metrics for 1/2(abs(p)+abs(r) + sqrt((p-r)^2 + 4q^2))

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample1.3s (16.6%)

Memory

42.6MiB live, 1 684.7MiB allocated; 257ms collecting garbage

Samples

884.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 614.0ms

ival-pow2: 218.0ms (35.5% of total)

ival-fabs: 167.0ms (27.2% of total)

ival-mult!: 74.0ms (12% of total)

ival-add!: 69.0ms (11.2% of total)

ival-sqrt: 63.0ms (10.3% of total)

ival-sub!: 22.0ms (3.6% of total)

adjust: 2.0ms (0.3% of total)

Bogosity

preprocess61.0ms (0.8%)

Memory

-18.3MiB live, 28.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	205
1	329	200
2	1459	200
3	7313	200

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Status

Accuracy

Program

▶

39.6%

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))

Symmetry

(abs q)

(sort p r)

Compiler

Compiled 44 to 36 computations (18.2% saved)

series351.0ms (4.6%)

Memory

12.5MiB live, 320.7MiB allocated; 160ms collecting garbage

Counts

18 → 136

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
q

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 p (fma.f64 #s(literal -1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 p (fma.f64 #s(literal -1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (fabs p) (fabs.f64 p))
#s(approx p p)
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (pow (- p r) 2) (pow.f64 r #s(literal 2 binary64)))
#s(approx (pow (- p r) 2) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 r #s(literal 2 binary64))))
#s(approx (pow (- p r) 2) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (- p r) (*.f64 #s(literal -1 binary64) r))
#s(approx (- p r) (-.f64 p r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) r))) p) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) r))) p) (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow.f64 p #s(literal 2 binary64)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 r p)))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (pow (- p r) 2) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p) (.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -1 binary64) p))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p))))) p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))) p))))))
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#s(approx (pow (- p r) 2) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) p) (*.f64 #s(literal 2 binary64) r)) p)))))
#s(approx (- p r) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
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#s(approx (fabs r) (fabs.f64 r))
#s(approx r r)
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#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
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#s(approx (pow (- p r) 2) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (pow.f64 p #s(literal 2 binary64))))
#s(approx (pow (- p r) 2) (fma.f64 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (- p r) (+.f64 p (*.f64 #s(literal -1 binary64) r)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
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#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (* 4 (pow q 2)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
#s(approx (pow q 2) (pow.f64 q #s(literal 2 binary64)))
#s(approx q q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 2))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)))) q))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))

Calls

9 calls:

Time	Variable	Point
2.0ms	q	0
2.0ms	p	-inf
2.0ms	p	0
2.0ms	q	inf
2.0ms	p	inf

rewrite1.3s (17.1%)

Memory

-3.3MiB live, 1 741.1MiB allocated; 178ms collecting garbage

Counts

18 → 2 601

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))
(+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))
(pow.f64 (-.f64 p r) #s(literal 2 binary64))
(-.f64 p r)
(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
#s(literal 4 binary64)
(pow.f64 q #s(literal 2 binary64))
q

Outputs
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))))
(.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) (fabs.f64 p)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))))) #s(literal -1/4 binary64))
(.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 4 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal -1 binary64)))
(.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) (fabs.f64 p)))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal -1/2 binary64)))
(.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 4 binary64)))
(.f64 (.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
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#s(literal 4 binary64)
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(*.f64 #s(literal -1 binary64) #s(literal -4 binary64))
(fabs.f64 #s(literal 4 binary64))
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(fma.f64 #s(literal -2 binary64) #s(literal -1 binary64) #s(literal 2 binary64))
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(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 1/4 binary64) #s(literal 4 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 3 binary64) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(literal 0 binary64) #s(literal 4 binary64))
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(fma.f64 #s(literal 3/2 binary64) #s(literal 0 binary64) #s(literal 4 binary64))
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(fma.f64 #s(literal -1/4 binary64) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 5/2 binary64) #s(literal 4 binary64))
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(fma.f64 #s(literal 1/8 binary64) #s(literal 8 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -3/2 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1/4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 4 binary64) #s(literal 1/4 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 8 binary64) #s(literal 1/4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1/4 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 8 binary64) #s(literal 1/8 binary64) #s(literal 3 binary64))
(fma.f64 (fabs.f64 p) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 3 binary64))
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(fma.f64 (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (fabs.f64 (+.f64 p p)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) (fabs.f64 (+.f64 p p)) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))) #s(literal 4 binary64))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q)))) #s(literal 2 binary64)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q)))) #s(literal 1/2 binary64)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q)))) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q)))) (fabs.f64 r)) #s(literal 2 binary64)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q)))) (fabs.f64 r)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (.f64 q q))))) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q)))) #s(literal 2 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
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(fma.f64 #s(literal 0 binary64) (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q)))) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(fma.f64 #s(literal 0 binary64) (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 2 binary64)) #s(literal 4 binary64))
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(fma.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 1/2 binary64)) #s(literal 0 binary64) #s(literal 4 binary64))
(fma.f64 (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 2 binary64)) #s(literal 0 binary64) #s(literal 4 binary64))
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(fma.f64 #s(literal 0 binary64) (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 2 binary64)) #s(literal 4 binary64))
(neg.f64 #s(literal -4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 2 binary64))
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(*.f64 q q)
(*.f64 (fabs.f64 q) (fabs.f64 q))
(*.f64 (neg.f64 q) (neg.f64 q))
(*.f64 (neg.f64 (fabs.f64 q)) (neg.f64 (fabs.f64 q)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 q))) (neg.f64 (neg.f64 (fabs.f64 q))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 q))) (fabs.f64 q))
(*.f64 (fabs.f64 q) (neg.f64 (neg.f64 (fabs.f64 q))))
(fabs.f64 (*.f64 q q))
(fabs.f64 (neg.f64 (*.f64 q q)))
(neg.f64 (neg.f64 (*.f64 q q)))
(pow.f64 q #s(literal 2 binary64))
(pow.f64 (fabs.f64 q) #s(literal 2 binary64))
(pow.f64 (neg.f64 q) #s(literal 2 binary64))
(pow.f64 (*.f64 q q) #s(literal 1 binary64))
(pow.f64 (neg.f64 (fabs.f64 q)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 q q) (*.f64 q q)))
q
(neg.f64 (neg.f64 q))

eval365.0ms (4.8%)

Memory: 36.4MiB live, 786.4MiB allocated; 81ms collecting garbage
Compiler: Compiled 81 431 to 10 302 computations (87.3% saved)

prune61.0ms (0.8%)

Memory

19.4MiB live, 210.0MiB allocated; 12ms collecting garbage

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	2 708	16	2 724
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	2 709	16	2 725

Accuracy

100.0%

Counts

2 725 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64)))))
	29.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
▶	2.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))
	33.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
	39.6%	(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 1/2 binary64))
	58.5%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
	41.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
▶	8.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	1.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	1.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r))))))
	11.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
▶	58.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
▶	1.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))

Compiler

Compiled 996 to 776 computations (22.1% saved)

series363.0ms (4.8%)

Memory

-18.3MiB live, 506.1MiB allocated; 194ms collecting garbage

Counts

35 → 181

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (*.f64 q #s(literal 2 binary64))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(hypot.f64 (-.f64 r p) (*.f64 q #s(literal 2 binary64)))
(-.f64 r p)
(*.f64 q #s(literal 2 binary64))
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
(*.f64 #s(literal -1 binary64) q)
#s(literal -1 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))))
(.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))
#s(literal -1/2 binary64)
(/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))
(*.f64 #s(literal -1 binary64) (/.f64 r p))
(/.f64 r p)

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 p (fma.f64 #s(literal -1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 p (fma.f64 #s(literal -1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (fabs p) (fabs.f64 p))
#s(approx p p)
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (- r p) r)
#s(approx (- r p) (+.f64 r (*.f64 #s(literal -1 binary64) p)))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (*.f64 #s(literal -1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (fma.f64 #s(literal -1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (*.f64 #s(literal 1/2 binary64) p)))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (*.f64 #s(literal 1/2 binary64) p)) p))
#s(approx (/ (+ r (+ (fabs p) (fabs r))) p) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))
#s(approx (+ r (+ (fabs p) (fabs r))) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (* p (+ 1 (* -1 (/ r p)))) (*.f64 #s(literal -1 binary64) r))
#s(approx (* p (+ 1 (* -1 (/ r p)))) (+.f64 p (*.f64 #s(literal -1 binary64) r)))
#s(approx (+ 1 (* -1 (/ r p))) (*.f64 #s(literal -1 binary64) (/.f64 r p)))
#s(approx (+ 1 (* -1 (/ r p))) (/.f64 (+.f64 p (*.f64 #s(literal -1 binary64) r)) p))
#s(approx (/ r p) (/.f64 r p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) r))) p) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) r))) p) (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (- r p) (*.f64 #s(literal -1 binary64) p))
#s(approx (- r p) (*.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)) #s(literal 1/2 binary64))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) #s(literal 1/2 binary64))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))
#s(approx (+ 1 (* -1 (/ r p))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1 (/ r p))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p) (.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p))))) p))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))) p))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p))) p))))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)) #s(literal 1/2 binary64)))))
#s(approx (* p (+ 1 (* -1 (/ r p)))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 r (fma.f64 #s(literal -1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 r (fma.f64 #s(literal -1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
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#s(approx (fabs r) (fabs.f64 r))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (- r p) (-.f64 r p))
#s(approx (* 1/2 r) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))) (*.f64 #s(literal 1/2 binary64) r)))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (fma.f64 #s(literal -1/2 binary64) r (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 r p) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))))
#s(approx (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))
#s(approx (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) (fma.f64 #s(literal -1/2 binary64) (/.f64 r p) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))
#s(approx (/ (+ r (+ (fabs p) (fabs r))) p) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))
#s(approx (/ (+ r (+ (fabs p) (fabs r))) p) (+.f64 (/.f64 r p) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) p))) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) p))) r) (+.f64 (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
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#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (*.f64 #s(literal -1/2 binary64) r))
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#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))
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#s(approx (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) (.f64 r (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) r)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(approx (/ (+ r (+ (fabs p) (fabs r))) p) (.f64 r (+.f64 (/.f64 #s(literal 1 binary64) p) (+.f64 (/.f64 (fabs.f64 p) (.f64 p r)) (/.f64 (fabs.f64 r) (*.f64 p r))))))
#s(approx (+ r (+ (fabs p) (fabs r))) (*.f64 r (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)))))
#s(approx (* p (+ 1 (* -1 (/ r p)))) (*.f64 r (-.f64 (/.f64 p r) #s(literal 1 binary64))))
#s(approx (+ 1 (* -1 (/ r p))) (*.f64 r (-.f64 (/.f64 #s(literal 1 binary64) r) (/.f64 #s(literal 1 binary64) p))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r) (.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))) r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))))) r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) r))))) r))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 p r))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))) r))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) r))) r))))))
#s(approx (- r p) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (/.f64 p r) #s(literal 1 binary64)))))
#s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (/.f64 (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r) #s(literal 1/2 binary64)))))
#s(approx (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r))))))
#s(approx (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))) (.f64 #s(literal -1 binary64) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))) r) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))))
#s(approx (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p)) (.f64 #s(literal -1 binary64) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) r) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))))
#s(approx (/ (+ r (+ (fabs p) (fabs r))) p) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) r)) (/.f64 #s(literal 1 binary64) p)))))
#s(approx (+ r (+ (fabs p) (fabs r))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1 binary64)))))
#s(approx (+ 1 (* -1 (/ r p))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (/.f64 #s(literal 1 binary64) p) (/.f64 #s(literal 1 binary64) r)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))
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#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))))
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#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))
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#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))
#s(approx (* q 2) (*.f64 #s(literal 2 binary64) q))
#s(approx q q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (* -1 q) (*.f64 #s(literal -1 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
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#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
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#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 q (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))
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#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) q)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) q)))) q))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)))) q))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))

Calls

9 calls:

Time	Variable	Point
8.0ms	q	inf
5.0ms	p	-inf
3.0ms	p	inf
3.0ms	r	0
3.0ms	r	inf

rewrite581.0ms (7.7%)

Memory

13.0MiB live, 771.4MiB allocated; 108ms collecting garbage

Counts

35 → 1 440

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (*.f64 q #s(literal 2 binary64))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(hypot.f64 (-.f64 r p) (*.f64 q #s(literal 2 binary64)))
(-.f64 r p)
(*.f64 q #s(literal 2 binary64))
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
(*.f64 #s(literal -1 binary64) q)
#s(literal -1 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
(*.f64 #s(literal 1/2 binary64) r)
#s(literal 1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
(.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))))
(.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))
#s(literal -1/2 binary64)
(/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))
(.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p)))
(*.f64 #s(literal -1 binary64) (/.f64 r p))
(/.f64 r p)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))) #s(literal 1 binary64))
(.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)) #s(literal -1/2 binary64))
(.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal -1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1 binary64)))
(+.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) #s(literal 1/2 binary64)) (.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64) (.f64 (fabs.f64 p) #s(literal 1/2 binary64))) (.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)) (.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p))) (.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 2 binary64)) (*.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p))))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 p) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64))))
(+.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (-.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) #s(literal -1/2 binary64))))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (-.f64 (.f64 (fabs.f64 p) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) #s(literal -1/2 binary64))))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 2 binary64)))
(-.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal -1/2 binary64)))
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eval288.0ms (3.8%)

Memory: 20.5MiB live, 527.8MiB allocated; 85ms collecting garbage
Compiler: Compiled 70 877 to 8 934 computations (87.4% saved)

prune50.0ms (0.7%)

Memory

27.0MiB live, 120.2MiB allocated; 5ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 893	8	1 901
Fresh	4	7	11
Picked	4	1	5
Done	0	0	0
Total	1 901	16	1 917

Accuracy

100.0%

Counts

1 917 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))) (*.f64 q #s(literal 2 binary64)))))
	29.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
	33.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
	39.6%	(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
▶	100.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64)))))
▶	2.4%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))
▶	1.1%	#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
▶	58.7%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (neg.f64 p)))
	41.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
✓	8.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	1.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	1.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	69.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
	41.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Compiler

Compiled 960 to 725 computations (24.5% saved)

series290.0ms (3.8%)

Memory

-13.3MiB live, 362.9MiB allocated; 54ms collecting garbage

Counts

28 → 159

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (*.f64 q #s(literal 2 binary64))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(hypot.f64 (-.f64 r p) (*.f64 q #s(literal 2 binary64)))
(-.f64 r p)
(*.f64 q #s(literal 2 binary64))
q
#s(literal 2 binary64)
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
(neg.f64 q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (-.f64 p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (-.f64 p r))
(-.f64 p r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (neg.f64 p)))
(*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (neg.f64 p))
(fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64))
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 #s(literal -1/2 binary64) p)
#s(literal -1/2 binary64)
(neg.f64 p)

Outputs
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 p (fma.f64 #s(literal -1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 p (fma.f64 #s(literal -1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (fabs p) (fabs.f64 p))
#s(approx p p)
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (- r p) r)
#s(approx (- r p) (+.f64 r (*.f64 #s(literal -1 binary64) p)))
#s(approx (* 1/2 p) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (- p r) (*.f64 #s(literal -1 binary64) r))
#s(approx (- p r) (-.f64 p r))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (*.f64 #s(literal 1/2 binary64) p)) p))
#s(approx (+ r (+ (fabs p) (fabs r))) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (/ -1/2 p) (/.f64 #s(literal -1/2 binary64) p))
#s(approx (neg p) (*.f64 #s(literal -1 binary64) p))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) r))) p) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) r))) p) (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (- r p) (*.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p) (.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p))))) p))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))) p))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p))) p))))))
#s(approx (- p r) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 r (fma.f64 #s(literal -1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 r (fma.f64 #s(literal -1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))))
#s(approx (fabs r) (fabs.f64 r))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (- r p) (-.f64 r p))
#s(approx (- p r) (+.f64 p (*.f64 #s(literal -1 binary64) r)))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))) (*.f64 #s(literal 1/2 binary64) r)))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 r p) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) p))) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) p))) r) (+.f64 (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 r (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 p r) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (- p r) (*.f64 r (-.f64 (/.f64 p r) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r)))))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (*.f64 #s(literal -1/2 binary64) (/.f64 r p)))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (.f64 r (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) r) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) r))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(approx (+ r (+ (fabs p) (fabs r))) (*.f64 r (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r) (.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))) r))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (pow.f64 q #s(literal 2 binary64))) r) (*.f64 #s(literal 1/2 binary64) (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))))) r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))))) r))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) r))))) r))))))
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#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) r))) r))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) r))) r))))))
#s(approx (- r p) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (/.f64 p r) #s(literal 1 binary64)))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (/.f64 (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))) r) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (.f64 #s(literal -1 binary64) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))) r) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p))))))
#s(approx (+ r (+ (fabs p) (fabs r))) (.f64 #s(literal -1 binary64) (.f64 r (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r)) #s(literal 1 binary64)))))
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#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))))))
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)))))))))))
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#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (sqrt.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64))))
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#s(approx (* q 2) (*.f64 #s(literal 2 binary64) q))
#s(approx q q)
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#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))
#s(approx (neg q) (*.f64 #s(literal -1 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2)))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2)))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))))
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#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 q (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))
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#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2)))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))))
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#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) q)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) q)))) q))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (* q 2) (* q 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q)))) q))))))
#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))

Calls

9 calls:

Time	Variable	Point
2.0ms	p	inf
2.0ms	p	-inf
1.0ms	p	0
1.0ms	r	-inf
1.0ms	r	0

rewrite426.0ms (5.6%)

Memory

-6.9MiB live, 557.3MiB allocated; 61ms collecting garbage

Counts

28 → 702

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (*.f64 q #s(literal 2 binary64))))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(hypot.f64 (-.f64 r p) (*.f64 q #s(literal 2 binary64)))
(-.f64 r p)
(*.f64 q #s(literal 2 binary64))
q
#s(literal 2 binary64)
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
(neg.f64 q)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
(*.f64 #s(literal 1/2 binary64) p)
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (-.f64 p r)))
#s(approx (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (-.f64 p r))
(-.f64 p r)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (neg.f64 p)))
(*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (neg.f64 p))
(fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64))
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
(/.f64 #s(literal -1/2 binary64) p)
#s(literal -1/2 binary64)
(neg.f64 p)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))) #s(literal 1 binary64))
(.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))) #s(literal 1/4 binary64))
(.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) #s(literal 1/2 binary64)) (fabs.f64 (.f64 #s(literal 1/2 binary64) p)))
(+.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)) (.f64 (fabs.f64 r) #s(literal 1/2 binary64)))
(+.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) p)) (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (fabs.f64 r) #s(literal 1/2 binary64)) (-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) p)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) #s(literal -1/2 binary64))))
(-.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal -1/2 binary64)))
(-.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1/2 binary64)))
(-.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 r) #s(literal -2 binary64)))
(-.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fabs.f64 r)))
(-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) p)) (/.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64)))
(-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) p)) (neg.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) #s(literal 1/2 binary64))))
(-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) p)) (.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64)))
(-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) p)) (.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r))))
(-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) p)) (fma.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal -1/2 binary64))))
(-.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) p)) (-.f64 (/.f64 (fabs.f64 r) #s(literal -2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (fabs.f64 (.f64 #s(literal 1/2 binary64) p)) #s(literal 2 binary64) (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)) #s(literal -2 binary64) (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64) (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 2 binary64) (*.f64 (fabs.f64 r) #s(literal 2 binary64))) #s(literal 4 binary64))
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(*.f64 p #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) p)
(*.f64 #s(literal 1 binary64) (neg.f64 p))
(neg.f64 p)

eval130.0ms (1.7%)

Memory: 55.5MiB live, 285.8MiB allocated; 36ms collecting garbage
Compiler: Compiled 36 163 to 3 906 computations (89.2% saved)

prune42.0ms (0.6%)

Memory

-17.2MiB live, 79.6MiB allocated; 17ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 062	7	1 069
Fresh	4	6	10
Picked	2	3	5
Done	0	1	1
Total	1 068	17	1 085

Accuracy

100.0%

Counts

1 085 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
▶	39.6%	(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
▶	100.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (+.f64 q q))))
	88.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))) (*.f64 q #s(literal 2 binary64)))))
	71.5%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) r) (.f64 q #s(literal 2 binary64)))))
✓	2.4%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))
	29.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
✓	1.1%	#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
▶	58.7%	#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (* 4 (* q q)))) (+ (fabs p) (fabs r))) 2) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64)) p))
	41.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
✓	8.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	1.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	1.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	69.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
▶	41.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Compiler

Compiled 903 to 681 computations (24.6% saved)

series364.0ms (4.8%)

Memory

-38.3MiB live, 274.8MiB allocated; 179ms collecting garbage

Counts

30 → 164

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (+.f64 q q))))
#s(literal 1/2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (+.f64 q q)))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(hypot.f64 (-.f64 r p) (+.f64 q q))
(-.f64 r p)
(+.f64 q q)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (* 4 (* q q)))) (+ (fabs p) (fabs r))) 2) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64)) p))
(*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64)) p)
(fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) p)
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))
(sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))
(fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))
(.f64 (.f64 q #s(literal 4 binary64)) q)
(*.f64 q #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 p (fma.f64 #s(literal -1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))) (.f64 p (fma.f64 #s(literal -1/2 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))))
#s(approx (+ (fabs p) (fabs r)) (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (fabs p) (fabs.f64 p))
#s(approx p p)
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) (.f64 p (fma.f64 #s(literal -1 binary64) (/.f64 r (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))) (.f64 p (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))))))
#s(approx (- r p) r)
#s(approx (- r p) (+.f64 r (*.f64 #s(literal -1 binary64) p)))
#s(approx (* -1/2 p) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (+ r (+ (fabs p) (fabs r))) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ 1/2 p)) -1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ 1/2 p)) -1/2) (/.f64 (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))
#s(approx (/ 1/2 p) (/.f64 #s(literal 1/2 binary64) p))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (fma.f64 p (+.f64 p (*.f64 #s(literal -2 binary64) r)) (pow.f64 r #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) r))) p) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) r))) p) (+.f64 (/.f64 (*.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (*.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 p (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 r p) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (- r p) (*.f64 #s(literal -1 binary64) p))
#s(approx (- r p) (*.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ 1/2 p)) -1/2) #s(literal -1/2 binary64))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ 1/2 p)) -1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p)) #s(literal 1/2 binary64)))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (pow.f64 p #s(literal 2 binary64)))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 r p)))))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 r p) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (/.f64 (pow.f64 r #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p) (.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (pow.f64 q #s(literal 2 binary64))) p) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))))) p))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p))))) p))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))) p))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 r (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) p))) p))))))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))) p) (*.f64 #s(literal 2 binary64) r)) p)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 r (fma.f64 #s(literal -1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (.f64 r (fma.f64 #s(literal -1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/4 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))))
#s(approx (fabs r) (fabs.f64 r))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 p r) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (+.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (.f64 r (fma.f64 #s(literal -1 binary64) (/.f64 p (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))) (.f64 r (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p (.f64 r (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (- r p) (-.f64 r p))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)))) (*.f64 #s(literal 1/2 binary64) r)))
#s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))
#s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (fma.f64 #s(literal 1/2 binary64) r (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ 1/2 p)) -1/2) p) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)) #s(literal 1/2 binary64))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ 1/2 p)) -1/2) p) (fma.f64 #s(literal 1/2 binary64) r (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ 1/2 p)) -1/2) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p)) #s(literal 1/2 binary64)))
#s(approx (+ (* (+ r (+ (fabs p) (fabs r))) (/ 1/2 p)) -1/2) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 r p) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) #s(literal 1/2 binary64)))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (fma.f64 #s(literal -2 binary64) (*.f64 p r) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (fma.f64 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) p))) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64)))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) p))) r) (+.f64 (/.f64 (*.f64 p (pow.f64 q #s(literal 2 binary64))) (pow.f64 r #s(literal 3 binary64))) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 r #s(literal 2 binary64))))))))
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#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (pow.f64 r #s(literal 2 binary64)))
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#s(approx (+ q q) (*.f64 #s(literal 2 binary64) q))
#s(approx q q)
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#s(approx (* q 4) (*.f64 #s(literal 4 binary64) q))
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (*.f64 q (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))
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#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (*.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))))
#s(approx (+ (* (- r p) (- r p)) (* (* q 4) q)) (*.f64 (pow.f64 q #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (* 1/2 (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (*.f64 #s(literal -2 binary64) q))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) q)))) q))))))
#s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 r p) #s(literal 2 binary64)))) q)))) q))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (- r p) (- r p)) (* (+ q q) (+ q q)))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 4 binary64)) (pow.f64 q #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 6 binary64)) (pow.f64 q #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 r p) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64))))))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) q) (.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q))))))

Calls

9 calls:

Time	Variable	Point
28.0ms	r	0
6.0ms	r	-inf
2.0ms	p	0
2.0ms	p	inf
2.0ms	p	-inf

rewrite660.0ms (8.7%)

Memory

37.2MiB live, 604.8MiB allocated; 40ms collecting garbage

Counts

30 → 1 316

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (+.f64 q q))))
#s(literal 1/2 binary64)
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (+.f64 q q)))
(+.f64 (fabs.f64 p) (fabs.f64 r))
(fabs.f64 p)
p
(fabs.f64 r)
r
(hypot.f64 (-.f64 r p) (+.f64 q q))
(-.f64 r p)
(+.f64 q q)
q
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
(*.f64 #s(literal -1/2 binary64) p)
#s(literal -1/2 binary64)
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))
(+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (* 4 (* q q)))) (+ (fabs p) (fabs r))) 2) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64)) p))
(*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64)) p)
(fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64))
(/.f64 #s(literal 1/2 binary64) p)
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))
(sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))
(fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))
(.f64 (.f64 q #s(literal 4 binary64)) q)
(*.f64 q #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
(.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))) #s(literal 1 binary64))
(.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)))
(+.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) #s(literal 1/2 binary64)) (fabs.f64 (.f64 p #s(literal 1/2 binary64))))
(+.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)) (fabs.f64 (.f64 r #s(literal 1/2 binary64))))
(+.f64 (fabs.f64 (.f64 p #s(literal 1/2 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) #s(literal 1/2 binary64)))
(+.f64 (fabs.f64 (.f64 r #s(literal 1/2 binary64))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)))
(+.f64 (fabs.f64 (.f64 r #s(literal 1/2 binary64))) (-.f64 (fabs.f64 (.f64 p #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) #s(literal -1/2 binary64))))
(-.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal -1/2 binary64)))
(-.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)) (/.f64 (fabs.f64 r) #s(literal -2 binary64)))
(-.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) (fabs.f64 r)))
(-.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)) (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -1/2 binary64)))
(-.f64 (fabs.f64 (.f64 p #s(literal 1/2 binary64))) (.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64)))
(-.f64 (fabs.f64 (.f64 p #s(literal 1/2 binary64))) (.f64 #s(literal -1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r))))
(-.f64 (fabs.f64 (.f64 p #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (fabs.f64 r)) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal -1/2 binary64))))
(-.f64 (fabs.f64 (.f64 p #s(literal 1/2 binary64))) (-.f64 (/.f64 (fabs.f64 r) #s(literal -2 binary64)) (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64))))
(-.f64 (fabs.f64 (.f64 p #s(literal 1/2 binary64))) (/.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64)))
(-.f64 (fabs.f64 (.f64 p #s(literal 1/2 binary64))) (neg.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 (neg.f64 (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (fabs.f64 p)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (fabs.f64 (.f64 p #s(literal 1/2 binary64))) #s(literal 2 binary64) (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal 1/2 binary64)) #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))))) #s(literal -2 binary64))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) #s(literal 2 binary64) (*.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) #s(literal 1/2 binary64)) #s(literal -2 binary64) (-.f64 (neg.f64 (fabs.f64 r)) (fabs.f64 p))) #s(literal -2 binary64))
(/.f64 (fma.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) #s(literal 2 binary64) (*.f64 (fabs.f64 r) #s(literal 2 binary64))) #s(literal 4 binary64))
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(*.f64 q #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) q)
(*.f64 (+.f64 q q) #s(literal 2 binary64))
(.f64 (.f64 q #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 q) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (neg.f64 q))
(*.f64 #s(literal 2 binary64) (+.f64 q q))
(+.f64 (+.f64 q q) (+.f64 q q))
(+.f64 (fma.f64 q #s(literal 2 binary64) q) q)
(+.f64 (.f64 #s(literal 1 binary64) (+.f64 q q)) (.f64 #s(literal 1 binary64) (+.f64 q q)))
(+.f64 q (+.f64 q (+.f64 q q)))
(-.f64 (+.f64 q q) (*.f64 q #s(literal -2 binary64)))
(-.f64 (fma.f64 q #s(literal 2 binary64) q) (neg.f64 q))
(-.f64 q (-.f64 (neg.f64 q) (+.f64 q q)))
(fma.f64 (+.f64 q q) #s(literal 1 binary64) (+.f64 q q))
(fma.f64 #s(literal -2 binary64) (neg.f64 q) (+.f64 q q))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) q) (+.f64 q q))
(fma.f64 q #s(literal 2 binary64) (+.f64 q q))
(fma.f64 #s(literal 2 binary64) q (+.f64 q q))
(fma.f64 #s(literal 1 binary64) (+.f64 q q) (*.f64 #s(literal 1 binary64) (+.f64 q q)))
(neg.f64 (*.f64 q #s(literal -4 binary64)))
(neg.f64 (*.f64 (+.f64 q q) #s(literal -2 binary64)))
(neg.f64 (fma.f64 q #s(literal -2 binary64) (*.f64 q #s(literal -2 binary64))))
#s(literal 4 binary64)
(*.f64 #s(literal -2 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fabs.f64 #s(literal 4 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 2 binary64))
(neg.f64 #s(literal -4 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 2 binary64))

eval233.0ms (3.1%)

Memory: 12.3MiB live, 433.1MiB allocated; 72ms collecting garbage
Compiler: Compiled 58 845 to 6 252 computations (89.4% saved)

prune107.0ms (1.4%)

Memory

-27.0MiB live, 111.8MiB allocated; 16ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1 640	5	1 645
Fresh	2	6	8
Picked	1	4	5
Done	0	4	4
Total	1 643	19	1 662

Accuracy

100.0%

Counts

1 662 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
✓	39.6%	(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
	30.2%	(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(approx (- r p) r) #s(approx (- r p) r) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (+.f64 q q))))
	88.0%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))) (+.f64 q q))))
	71.5%	(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) r) (+.f64 q q))))
✓	2.4%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))
	29.8%	(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
✓	1.1%	#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
✓	58.7%	#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (* 4 (* q q)))) (+ (fabs p) (fabs r))) 2) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64)) p))
	41.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
	2.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
✓	8.8%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	1.9%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	1.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	8.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	69.1%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
	41.3%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)))))
	14.6%	#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Compiler

Compiled 583 to 428 computations (26.6% saved)

regimes374.0ms (4.9%)

Memory

-16.9MiB live, 561.4MiB allocated; 56ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

5 → 1

6 → 2

7 → 1

8 → 2

10 → 2

12 → 2

14 → 2

24 → 2

28 → 2

37 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))

Outputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))

Call 2

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))

Call 3

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))

Outputs

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))

Call 4

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Outputs

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Call 5

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))

Outputs

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))

Call 6

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))

Outputs

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))

Call 7

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))

Outputs

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))

Call 8

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))

Outputs
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))

Outputs

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))

(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))

Call 9

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (* 4 (* q q)))) (+ (fabs p) (fabs r))) 2) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (neg.f64 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(approx (- r p) r) #s(approx (- r p) r) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))

Outputs

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))

Call 10

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (* 4 (* q q)))) (+ (fabs p) (fabs r))) 2) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (neg.f64 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(approx (- r p) r) #s(approx (- r p) r) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) r) (+.f64 q q))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) r) (.f64 q #s(literal 2 binary64)))))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 1/2 binary64))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))

Outputs

#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))

(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) r) (+.f64 q q))))

Call 11

Inputs
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (pow (* 2 q) 2))) (+ (fabs p) (fabs r))) 2) (neg.f64 q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) #s(approx (* 1/2 (+ r (+ (fabs p) (fabs r)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (-.f64 p r))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* p (+ 1/2 (* -1/2 (/ (+ r (+ (fabs p) (fabs r))) p))))) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* (+ (* (+ r (+ (fabs p) (fabs r))) (/ -1/2 p)) 1/2) (neg p)) (fma.f64 #s(literal -1/2 binary64) p (*.f64 #s(literal 1/2 binary64) (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r)))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))))
#s(approx (/ (+ (sqrt (+ (pow (- p r) 2) (* 4 (* q q)))) (+ (fabs p) (fabs r))) 2) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal 1/2 binary64) p) #s(literal -1/2 binary64)) p))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) (/.f64 #s(literal -1/2 binary64) p) #s(literal 1/2 binary64)) (neg.f64 p)))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 p (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 r (+.f64 (fabs.f64 p) (fabs.f64 r))) p))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 p (+.f64 (fabs.f64 p) (fabs.f64 r))) r))))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) r))) p)))))
#s(approx (* (/ 1 2) (+ (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -1 binary64) p))) r)))))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 #s(approx (- r p) r) #s(approx (- r p) r) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 p (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) r) (+.f64 q q))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) r) (.f64 q #s(literal 2 binary64)))))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) (-.f64 p r) (.f64 #s(literal 4 binary64) (*.f64 q q))))) #s(literal 1/2 binary64))
(.f64 (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (+.f64 q q))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))) (+.f64 q q))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))) (*.f64 q #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 #s(approx (- r p) (.f64 p (-.f64 (/.f64 r p) #s(literal 1 binary64)))) (*.f64 q #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) (pow ( 2 q) 2))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (.f64 q (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 binary64)))))))))

Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (hypot.f64 (-.f64 r p) (+.f64 q q))))

Calls

64 calls:

64.0ms	(pow.f64 q #s(literal 2 binary64))
15.0ms	q
11.0ms	q
10.0ms	r
10.0ms	(pow.f64 q #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
1.1%	1	`r`
1.1%	1	`(pow.f64 q #s(literal 2 binary64))`
1.1%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
1.1%	1	`q`
1.1%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
1.1%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
1.1%	1	`p`
8.6%	1	`(pow.f64 q #s(literal 2 binary64))`
8.6%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.6%	1	`q`
8.6%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
8.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
8.6%	1	`r`
8.6%	1	`p`
8.8%	1	`(pow.f64 q #s(literal 2 binary64))`
8.8%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
8.8%	1	`q`
13.5%	2	`r`
8.8%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
8.8%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
13.7%	2	`p`
14.6%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
14.6%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
14.6%	1	`p`
14.6%	1	`r`
14.6%	1	`(pow.f64 q #s(literal 2 binary64))`
14.6%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
14.6%	1	`q`
33.4%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
33.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
33.4%	1	`p`
35.5%	2	`r`
38.5%	2	`(pow.f64 q #s(literal 2 binary64))`
38.5%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
38.5%	2	`q`
59.8%	2	`q`
47.3%	2	`p`
56.7%	2	`r`
41.3%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
41.3%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
59.7%	2	`(pow.f64 q #s(literal 2 binary64))`
59.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
59.8%	2	`q`
85.2%	2	`(pow.f64 q #s(literal 2 binary64))`
85.2%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
85.6%	2	`q`
75.4%	3	`p`
86.0%	2	`(pow.f64 q #s(literal 2 binary64))`
86.0%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
86.3%	2	`q`
89.2%	2	`(pow.f64 q #s(literal 2 binary64))`
89.2%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
82.3%	2	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
82.3%	2	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
86.7%	2	`p`
78.2%	2	`r`
89.2%	2	`q`
100.0%	1	`(pow.f64 q #s(literal 2 binary64))`
100.0%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
100.0%	1	`(+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
100.0%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
100.0%	1	`p`
100.0%	1	`r`
100.0%	1	`q`

Compiler

Compiled 1 595 to 679 computations (57.4% saved)

bsearch11.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	7.2160376928842215e+96	2.1690578407377364e+97

Samples

6.0ms

80×

valid

Compiler

Compiled 375 to 284 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-fabs: 1.0ms (24.6% of total)

ival-sqrt: 1.0ms (24.6% of total)

ival-add!: 1.0ms (24.6% of total)

ival-pow2: 1.0ms (24.6% of total)

ival-mult!: 1.0ms (24.6% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory

-20.0MiB live, 29.6MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.6218087247058063e+164	1.1199960009491159e+165

Samples

9.0ms

96×

valid

Compiler

Compiled 559 to 426 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow2: 4.0ms (56.7% of total)

ival-fabs: 1.0ms (14.2% of total)

ival-sqrt: 1.0ms (14.2% of total)

ival-add!: 1.0ms (14.2% of total)

ival-mult!: 1.0ms (14.2% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.6218087247058063e+164	1.1199960009491159e+165

Samples

4.0ms

48×

valid

Compiler

Compiled 499 to 384 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-pow2: 1.0ms (41.7% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-fabs: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.6218087247058063e+164	1.1199960009491159e+165

Compiler

Compiled 475 to 366 computations (22.9% saved)

bsearch3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.6218087247058063e+164	1.1199960009491159e+165

Compiler

Compiled 481 to 372 computations (22.7% saved)

bsearch12.0ms (0.2%)

Memory

-23.2MiB live, 23.3MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.0198452938966864e-29	1.3883560146823158e-28

Samples

6.0ms

80×

valid

Compiler

Compiled 440 to 314 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-pow2: 2.0ms (45.8% of total)

ival-fabs: 1.0ms (22.9% of total)

ival-sqrt: 1.0ms (22.9% of total)

ival-add!: 1.0ms (22.9% of total)

ival-mult!: 1.0ms (22.9% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

bsearch9.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-3.320363433755938e-16	-1.7868468070498233e-16

Samples

5.0ms

64×

valid

Compiler

Compiled 233 to 200 computations (14.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-fabs: 1.0ms (31.8% of total)

ival-pow2: 1.0ms (31.8% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

ival-mult!: 0.0ms (0% of total)

derivations3.0ms (0%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 673 to 104 computations (84.5% saved)

preprocess220.0ms (2.9%)

Memory

-20.4MiB live, 359.9MiB allocated; 50ms collecting garbage

Remove

(sort p r)

(abs q)

Compiler

Compiled 3 725 to 1 830 computations (50.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.3s (16.6%)

preprocess61.0ms (0.8%)

series351.0ms (4.6%)

rewrite1.3s (17.1%)

eval365.0ms (4.8%)

prune61.0ms (0.8%)

series363.0ms (4.8%)

rewrite581.0ms (7.7%)

eval288.0ms (3.8%)

prune50.0ms (0.7%)

series290.0ms (3.8%)

rewrite426.0ms (5.6%)

eval130.0ms (1.7%)

prune42.0ms (0.6%)

series364.0ms (4.8%)

rewrite660.0ms (8.7%)

eval233.0ms (3.1%)

prune107.0ms (1.4%)

regimes374.0ms (4.9%)

bsearch11.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch7.0ms (0.1%)

bsearch2.0ms (0%)

bsearch3.0ms (0%)

bsearch12.0ms (0.2%)

bsearch9.0ms (0.1%)

derivations3.0ms (0%)

preprocess220.0ms (2.9%)

end0.0ms (0%)

Profiling