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

start0.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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)

sample2.2s (29.9%)

Memory

62.8MiB live, 19 726.2MiB allocated; 538ms collecting garbage

Samples

684.0ms	3 131×	1	valid
677.0ms	2 188×	2	valid
351.0ms	2 937×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-pow2: 382.0ms (28.4% of total)

adjust: 288.0ms (21.4% of total)

ival-sqrt: 188.0ms (14% of total)

ival-mult!: 150.0ms (11.2% of total)

ival-fabs: 143.0ms (10.6% of total)

ival-sub!: 97.0ms (7.2% of total)

ival-add!: 95.0ms (7.1% of total)

Bogosity

preprocess44.0ms (0.6%)

Memory

18.8MiB live, 211.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	205
1	290	200
2	1288	200

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.3%	(.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

▶

26.3%

(*.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)

series82.0ms (1.1%)

Memory

-37.6MiB live, 538.8MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	755	5378

Stop Event

1×	iter-limit

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 (+.f64 (fabs.f64 p) (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 (fabs.f64 p) (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 #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))))))))
#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 (fabs.f64 p) (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 -1/4 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))))) (*.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))))))))))
#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 (fabs.f64 p) (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 (+.f64 (fabs.f64 p) (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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.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))))))) (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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 p (-.f64 (.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)))))) (.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)))))))))) (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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 p (-.f64 (.f64 p (-.f64 (.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)))))))) (*.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)))))))))) (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 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p))) #s(literal 1/2 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r)) p)))) #s(literal 1/2 binary64))))
#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 p (-.f64 (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) p)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 p (-.f64 (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))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 r p))))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 p (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) (pow.f64 p #s(literal 3 binary64))) (+.f64 (/.f64 (fabs.f64 p) p) (/.f64 (fabs.f64 r) 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) (.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #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 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)) p)) #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 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) r) p) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) p) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r))) p)) #s(literal 1/2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p)))) r) p)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 p (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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)))) r) p)) #s(literal 1 binary64)))))
#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))))))
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#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (-.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (/.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))))))) (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 (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 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 (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 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 (+ (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 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
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#s(approx (pow (- p r) 2) (.f64 (pow.f64 r #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) r) (*.f64 #s(literal 2 binary64) 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) (-.f64 (+.f64 (fabs.f64 p) (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 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (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 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.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 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.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 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 (+.f64 (fabs.f64 p) (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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.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 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 p r) #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 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 q #s(literal 2 binary64)) (fma.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))))))))) (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 #s(literal -1 binary64) q))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (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(literal 1 binary64))))
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 q (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (pow.f64 q #s(literal 2 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))) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)))) #s(literal 1 binary64))))
#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 (+.f64 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) q)) #s(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (*.f64 q (-.f64 (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(literal 2 binary64))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 q (-.f64 (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 (/.f64 (fabs.f64 p) q) (/.f64 (fabs.f64 r) 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 2 binary64) 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) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) 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 binary64) (.f64 q (-.f64 (.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(literal 1 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 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 p r) #s(literal 4 binary64)) (pow.f64 q #s(literal 2 binary64))))) q) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))) q)) #s(literal 1 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.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(literal 2 binary64)))))
#s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 p) (+.f64 (fabs.f64 r) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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(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) (*.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
6.0ms	r	0
6.0ms	q	0
5.0ms	p	0
5.0ms	p	inf
4.0ms	r	inf

rewrite158.0ms (2.2%)

Memory

40.4MiB live, 660.0MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	31	93
1	146	93
2	509	93
3	1939	93
0	4130	89

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

18 → 507

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

eval104.0ms (1.4%)

Memory: -30.0MiB live, 641.6MiB allocated; 29ms collecting garbage
Compiler: Compiled 26 094 to 3 685 computations (85.9% saved)

prune42.0ms (0.6%)

Memory

32.4MiB live, 427.9MiB allocated; 15ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	608	23	631
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	609	23	632

Accuracy

64.7%

Counts

632 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.9%	(fma.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) #s(literal 1/2 binary64) (*.f64 (fabs.f64 p) #s(literal 1/2 binary64)))
	19.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 p p) (.f64 (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))))) (-.f64 (fabs.f64 p) (-.f64 (fabs.f64 r) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p))))))))
	4.2%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.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)))))))
▶	21.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))))))
	26.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (fma.f64 (-.f64 p r) p (fma.f64 (neg.f64 r) (-.f64 p r) (.f64 (*.f64 q q) #s(literal 4 binary64)))))))
	15.8%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) #s(literal 1/2 binary64)))))
	37.0%	(.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 #s(literal 2 binary64) q))))
	21.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))) (fabs.f64 r))) (fabs.f64 r)))
▶	24.0%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	21.3%	#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 (fabs.f64 p) (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 #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))))))))
	23.0%	#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 (fabs.f64 p) (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 #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))))))))
	16.0%	#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 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.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))))))))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	14.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
	2.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	2.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.2%	#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 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
▶	1.9%	#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 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
	13.3%	#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 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
▶	37.7%	#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 1 652 to 1 128 computations (31.7% saved)

series198.0ms (2.7%)

Memory

-4.2MiB live, 1 884.0MiB allocated; 54ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1734	18909

Stop Event

1×	iter-limit

Counts

34 → 350

Calls

Call 1

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

Calls

9 calls:

Time	Variable	Point
23.0ms	q	inf
13.0ms	q	0
10.0ms	q	-inf
8.0ms	p	0
8.0ms	p	inf

rewrite189.0ms (2.6%)

Memory

-17.5MiB live, 1 397.7MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	372
0	70	300
1	339	295
2	1216	284
0	4249	238

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

34 → 1 161

Calls

Call 1

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

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

eval377.0ms (5.2%)

Memory: 12.7MiB live, 3 912.1MiB allocated; 141ms collecting garbage
Compiler: Compiled 89 566 to 9 008 computations (89.9% saved)

prune91.0ms (1.3%)

Memory

25.3MiB live, 909.3MiB allocated; 19ms collecting garbage

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	1 788	20	1 808
Fresh	6	12	18
Picked	4	1	5
Done	0	0	0
Total	1 798	33	1 831

Accuracy

69.9%

Counts

1 831 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.8%	(.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q)))) (sqrt.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q)))) (-.f64 (neg.f64 (fabs.f64 p)) (fabs.f64 r))) #s(literal -1/2 binary64))
	19.6%	(.f64 (/.f64 (-.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) (-.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r))) (.f64 p p)) (+.f64 (-.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) (fabs.f64 p))) #s(literal -1/2 binary64))
	19.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 #s(approx (- r p) r) #s(approx (- r p) r))))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 #s(approx (- r p) r) #s(approx (- r p) r))))))))
	37.0%	(.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 #s(literal 2 binary64) q))))
▶	49.8%	(.f64 (-.f64 (-.f64 (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	20.9%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))
	23.9%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (fma.f64 (-.f64 r p) r (*.f64 (-.f64 p r) p)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
▶	22.3%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 p)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 r r) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))
▶	4.9%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 p)) (.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))) #s(literal -1/2 binary64))
	22.9%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 #s(approx (- r p) r) #s(approx (- r p) r)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	0.0%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (exp.f64 (*.f64 (log.f64 (-.f64 p r)) #s(literal 2 binary64))))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	2.2%	(.f64 (-.f64 #s(approx (- (sqrt (+ ( (* q 4) q) (* (- r p) (- r p)))) (fabs p)) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 p (fabs.f64 p)) r)))))) (fabs.f64 r)) #s(literal -1/2 binary64))
	21.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) (neg.f64 (fabs.f64 r)))) (neg.f64 (fabs.f64 r))) #s(literal -1/2 binary64))
	3.2%	(.f64 #s(approx (- (- (sqrt (+ ( (* q 4) q) (* (- r p) (- r p)))) (fabs p)) (fabs r)) (*.f64 #s(literal -2 binary64) q)) #s(literal -1/2 binary64))
	27.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
	0.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
	0.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
	21.3%	#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 (fabs.f64 p) (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 #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))))))))
	23.0%	#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 (fabs.f64 p) (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 #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))))))))
	16.0%	#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 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.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))))))))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))))
▶	14.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) p)) r)) #s(literal 1/2 binary64))))
	2.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	2.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.2%	#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 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p) r)) #s(literal 1/2 binary64)))))
	2.0%	#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 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (sqrt.f64 (.f64 r r))) q)) #s(literal 1 binary64)))))
	13.3%	#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 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) r) p)) #s(literal 1/2 binary64)))))
▶	37.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))

Compiler

Compiled 2 406 to 1 567 computations (34.9% saved)

series206.0ms (2.9%)

Memory

15.8MiB live, 2 051.4MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1577	16297

Stop Event

1×	iter-limit

Counts

42 → 353

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
47.0ms	r	0
19.0ms	r	-inf
18.0ms	r	inf
6.0ms	q	0
5.0ms	p	inf

rewrite192.0ms (2.7%)

Memory

16.0MiB live, 1 357.6MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	378
0	87	291
1	494	270
2	1769	267
0	4052	264

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

42 → 1 463

Calls

Call 1

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

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

eval1.3s (18.5%)

Memory: -368.7MiB live, 2 869.3MiB allocated; 3.2s collecting garbage
Compiler: Compiled 69 040 to 8 335 computations (87.9% saved)

prune106.0ms (1.5%)

Memory

19.7MiB live, 893.2MiB allocated; 33ms collecting garbage

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1 624	18	1 642
Fresh	11	16	27
Picked	4	1	5
Done	0	1	1
Total	1 639	36	1 675

Accuracy

78.5%

Counts

1 675 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.0%	(.f64 (/.f64 (-.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (.f64 (-.f64 p r) (-.f64 p r)))) (neg.f64 r)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (.f64 (-.f64 p r) (-.f64 p r)))) (neg.f64 r))) (.f64 p p)) (+.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 p r) (-.f64 p r)))) (neg.f64 r)) (fabs.f64 p))) #s(literal -1/2 binary64))
▶	37.0%	(.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 #s(literal 2 binary64) q))))
	38.3%	(.f64 (-.f64 (-.f64 (hypot.f64 (-.f64 r p) (.f64 q #s(literal 2 binary64))) (fabs.f64 p)) (neg.f64 r)) #s(literal -1/2 binary64))
▶	47.7%	(.f64 (-.f64 (-.f64 (hypot.f64 #s(approx (- r p) r) (.f64 q #s(literal 2 binary64))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	20.9%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))
	23.9%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (fma.f64 (-.f64 r p) r (*.f64 (-.f64 p r) p)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	22.1%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 p)) (/.f64 #s(literal 1 binary64) #s(approx (pow ( r r) -1/2) (/.f64 #s(literal 1 binary64) r)))) #s(literal -1/2 binary64))
	4.3%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 #s(approx (- r p) r) #s(approx (- r p) r)))) (fabs.f64 p)) (.f64 (sqrt.f64 (neg.f64 r)) (sqrt.f64 (neg.f64 r)))) #s(literal -1/2 binary64))
	22.9%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (*.f64 #s(approx (- r p) r) #s(approx (- r p) r)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
▶	18.9%	(.f64 (-.f64 (-.f64 (fabs.f64 p) r) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 p r) (-.f64 p r))))) #s(literal 1/2 binary64))
	2.2%	(.f64 (-.f64 #s(approx (- (sqrt (+ ( (- r p) (- r p)) (* (* q 2) (* q 2)))) (fabs p)) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 p (fabs.f64 p)) r)))))) (fabs.f64 r)) #s(literal -1/2 binary64))
	14.3%	(.f64 (.f64 (fma.f64 (/.f64 #s(literal -1 binary64) r) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (.f64 (-.f64 p r) (-.f64 p r)))) (fabs.f64 p)) #s(literal -1 binary64)) (neg.f64 r)) #s(literal -1/2 binary64))
	21.7%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (.f64 q #s(literal 4 binary64)) q))) (fabs.f64 p)) (neg.f64 (fabs.f64 r)))) (neg.f64 (fabs.f64 r))) #s(literal -1/2 binary64))
	3.2%	(.f64 #s(approx (- (- (sqrt (+ ( (- r p) (- r p)) (* (* q 2) (* q 2)))) (fabs p)) (fabs r)) (*.f64 #s(literal -2 binary64) q)) #s(literal -1/2 binary64))
	27.2%	(.f64 #s(approx (- (- (sqrt (+ ( (* q 4) q) (* (- r p) (- r p)))) (fabs p)) (/ 1 (pow (* r r) -1/2))) (.f64 r (-.f64 (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))))) (/.f64 (fabs.f64 p) r)))) #s(literal -1/2 binary64))
	27.4%	(.f64 #s(approx (- (- (sqrt (+ ( (* q 4) q) (* (- r p) (- r p)))) (fabs p)) (/ 1 (pow (* r r) -1/2))) (.f64 r (-.f64 (.f64 #s(literal -1 binary64) (/.f64 p r)) (/.f64 (fabs.f64 p) r)))) #s(literal -1/2 binary64))
	27.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
	0.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
	0.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal 2 binary64)))))
▶	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
	21.3%	#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 (fabs.f64 p) (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 #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))))))))
	16.0%	#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 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.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))))))))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))))
	3.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fabs.f64 p) r) (/.f64 #s(literal 1 binary64) r) (/.f64 p r))) #s(literal 1/2 binary64))))
	12.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (neg.f64 r) (+.f64 (fabs.f64 p) p)) r)) #s(literal 1/2 binary64))))
	12.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (+ (fabs p) (fabs r)) (* -1 p)) (+.f64 (fabs.f64 p) (fabs.f64 r))) r)) #s(literal 1/2 binary64))))
	7.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 p r)))))
	5.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) #s(literal -1/2 binary64))))
	2.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (*.f64 #s(literal -1 binary64) r)) p)) #s(literal 1/2 binary64))))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
▶	5.6%	#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 -1/2 binary64) p))
✓	37.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	10.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p)))))
	14.8%	#s(approx (* (- (- (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))) (fabs p)) (/ 1 (pow (* r r) -1/2))) -1/2) (.f64 r (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) p) (+.f64 r (fabs.f64 p))) r)) #s(literal 1/2 binary64))))

Compiler

Compiled 2 633 to 1 733 computations (34.2% saved)

series163.0ms (2.3%)

Memory

-14.0MiB live, 1 354.2MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1691	15924

Stop Event

1×	iter-limit

Counts

40 → 349

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
10.0ms	q	-inf
6.0ms	p	inf
6.0ms	p	0
5.0ms	p	-inf
4.0ms	r	0

rewrite338.0ms (4.7%)

Memory

25.4MiB live, 2 252.8MiB allocated; 90ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	342
0	94	303
1	507	296
2	1602	296
0	4229	263

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

40 → 953

Calls

Call 1

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

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

eval332.0ms (4.6%)

Memory: 27.3MiB live, 1 987.1MiB allocated; 116ms collecting garbage
Compiler: Compiled 52 209 to 6 181 computations (88.2% saved)

prune83.0ms (1.2%)

Memory

-35.8MiB live, 353.5MiB allocated; 34ms collecting garbage

Pruning

41 alts after pruning (37 fresh and 4 done)

	Pruned	Kept	Total
New	1 217	20	1 237
Fresh	12	17	29
Picked	3	2	5
Done	0	2	2
Total	1 232	41	1 273

Accuracy

83.1%

Counts

1 273 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.7%	(*.f64 (-.f64 (-.f64 (hypot.f64 (+.f64 q q) #s(approx (- r p) r)) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	20.9%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (-.f64 r p) (-.f64 r p) (.f64 (*.f64 q #s(literal 4 binary64)) q))) (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))
	23.9%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (fma.f64 (-.f64 r p) r (*.f64 (-.f64 p r) p)))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	22.1%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 p)) (/.f64 #s(literal 1 binary64) #s(approx (pow ( r r) -1/2) (/.f64 #s(literal 1 binary64) r)))) #s(literal -1/2 binary64))
	17.5%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (*.f64 #s(approx (- r p) r) #s(approx (- r p) r)))) (fabs.f64 r)) (fabs.f64 p)) #s(literal -1/2 binary64))
	44.5%	(*.f64 (-.f64 (-.f64 (fabs.f64 p) r) (hypot.f64 (-.f64 r p) (+.f64 q q))) #s(literal 1/2 binary64))
✓	18.9%	(.f64 (-.f64 (-.f64 (fabs.f64 p) r) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (*.f64 (-.f64 p r) (-.f64 p r))))) #s(literal 1/2 binary64))
	37.0%	(.f64 (-.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (+.f64 q q))) #s(literal 1/2 binary64))
	2.2%	(.f64 (-.f64 #s(approx (- (sqrt (+ ( (- r p) (- r p)) (* (* q 2) (* q 2)))) (fabs p)) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 p (fabs.f64 p)) r)))))) (fabs.f64 r)) #s(literal -1/2 binary64))
	20.5%	(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) q) q (.f64 #s(approx (- r p) r) #s(approx (- r p) r)))) (fabs.f64 p)) (neg.f64 (fabs.f64 r)))) (neg.f64 (fabs.f64 r))) #s(literal -1/2 binary64))
	3.2%	(.f64 #s(approx (- (- (sqrt (+ ( (- r p) (- r p)) (* (* q 2) (* q 2)))) (fabs p)) (fabs r)) (*.f64 #s(literal -2 binary64) q)) #s(literal -1/2 binary64))
	27.2%	(.f64 #s(approx (- (- (sqrt (+ ( (* q 4) q) (* (- r p) (- r p)))) (fabs p)) (/ 1 (pow (* r r) -1/2))) (.f64 r (-.f64 (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))))) (/.f64 (fabs.f64 p) r)))) #s(literal -1/2 binary64))
	27.4%	(.f64 #s(approx (- (- (sqrt (+ ( (* q 4) q) (* (- r p) (- r p)))) (fabs p)) (/ 1 (pow (* r r) -1/2))) (.f64 r (-.f64 (.f64 #s(literal -1 binary64) (/.f64 p r)) (/.f64 (fabs.f64 p) r)))) #s(literal -1/2 binary64))
	26.8%	(.f64 #s(approx (- (- (fabs p) r) (sqrt (+ ( (* 4 q) q) (* (- p r) (- p r))))) (-.f64 (fabs.f64 p) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
	2.6%	(.f64 #s(approx (- (- (fabs p) r) (sqrt (+ ( (* 4 q) q) (* (- p r) (- p r))))) (-.f64 (fabs.f64 p) p)) #s(literal 1/2 binary64))
	12.3%	(.f64 #s(approx (- (- (fabs p) r) (sqrt (+ ( (* 4 q) q) (* (- p r) (- p r))))) (*.f64 #s(literal -2 binary64) r)) #s(literal 1/2 binary64))
	7.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 (/.f64 #s(literal -1 binary64) p) (.f64 (*.f64 p p) #s(literal -1/2 binary64))))
	27.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) q)) #s(literal 2 binary64)))))
	0.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 q #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -2 binary64) q)) #s(literal 2 binary64)))))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (neg.f64 p)))) #s(literal 2 binary64)))))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 #s(approx (sqrt (/ -1 p)) (/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) p)) p)) #s(literal 2 binary64)))))
	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 p)))))
	2.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 p p))) #s(literal 1/2 binary64))))))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 p p) (sqrt.f64 (/.f64 #s(literal -1 binary64) p))) (sqrt.f64 (/.f64 #s(literal -1 binary64) p)))))
	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) p) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) p))))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) (.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 p)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (* (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p))))) (sqrt (sqrt (+ (* (* q 4) q) (* (- r p) (- r p)))))))) (.f64 #s(literal -1/2 binary64) #s(approx ( (pow p 2) (pow (sqrt (/ -1 p)) 2)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) p)) #s(literal 2 binary64)))))
	17.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (-.f64 q (*.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) #s(literal -1/2 binary64))))
	3.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fabs.f64 p) r) (/.f64 #s(literal 1 binary64) r) (/.f64 p r))) #s(literal 1/2 binary64))))
	12.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (+ (fabs p) (fabs r)) (* -1 p)) (+.f64 (fabs.f64 p) (fabs.f64 r))) r)) #s(literal 1/2 binary64))))
	7.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 p r)))))
	5.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 r #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2) #s(literal -1/2 binary64))))
	2.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
✓	5.6%	#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 -1/2 binary64) p))
✓	37.7%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	10.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* r (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 p)) r)) 1/2)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) p)))))
	6.7%	#s(approx (* (- (- (fabs p) r) (sqrt (+ (* (* 4 q) q) (* (- p r) (- p r))))) 1/2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (+.f64 r (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))) (*.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.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))))))))
	2.7%	#s(approx (* (- (- (fabs p) r) (sqrt (+ (* (* 4 q) q) (* (- p r) (- p r))))) 1/2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) p) (/.f64 (pow.f64 q #s(literal 2 binary64)) r)))
	8.5%	#s(approx (* (- (- (fabs p) r) (sqrt (+ (* (* 4 q) q) (* (- p r) (- p r))))) 1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 p) (+.f64 r (sqrt.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64))))))))

Compiler

Compiled 1 617 to 1 034 computations (36.1% saved)

regimes535.0ms (7.4%)

Memory

56.1MiB live, 2 739.0MiB allocated; 147ms collecting garbage

Accuracy

Total -23.2b remaining (-10.3%)

Threshold costs -23.2b (-10.3%)

Counts

7 → 1

15 → 2

16 → 3

18 → 2

35 → 2

44 → 2

82 → 2

Calls

Call 1

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

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

Call 2

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

Outputs

(*.f64 #s(approx (- (- (fabs p) r) (sqrt (+ (* (* 4 q) q) (* (- p r) (- p r))))) (*.f64 #s(literal -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)))))) (neg.f64 q))

Call 3

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

Outputs

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

(*.f64 #s(approx (- (- (fabs p) r) (sqrt (+ (* (* 4 q) q) (* (- p r) (- p r))))) (*.f64 #s(literal -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)))))) (neg.f64 q))

Call 4

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

Outputs

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

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

Call 5

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

Outputs

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

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

Call 6

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

Outputs

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

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

Call 7

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

Outputs

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

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

Calls

35 calls:

42.0ms	(-.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))))))
41.0ms	(pow.f64 q #s(literal 2 binary64))
37.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))
31.0ms	r
30.0ms	p

Results

Accuracy	Segments	Branch
37.7%	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))))))`
37.7%	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)))))))`
37.7%	1	`r`
37.7%	1	`p`
37.7%	1	`(pow.f64 q #s(literal 2 binary64))`
37.7%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
37.7%	1	`q`
41.0%	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))))))`
41.0%	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)))))))`
43.1%	2	`(pow.f64 q #s(literal 2 binary64))`
43.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
43.1%	2	`q`
45.1%	3	`(pow.f64 q #s(literal 2 binary64))`
45.1%	3	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
45.1%	3	`q`
43.3%	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))))))`
43.3%	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)))))))`
42.8%	3	`r`
42.0%	2	`p`
45.6%	2	`(pow.f64 q #s(literal 2 binary64))`
45.6%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
45.6%	2	`q`
58.2%	2	`(pow.f64 q #s(literal 2 binary64))`
58.2%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
58.2%	2	`q`
58.4%	2	`(pow.f64 q #s(literal 2 binary64))`
58.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
58.4%	2	`q`
58.7%	2	`(pow.f64 q #s(literal 2 binary64))`
58.7%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
56.2%	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))))))`
56.2%	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)))))))`
59.0%	3	`p`
59.5%	4	`r`
58.7%	2	`q`

Compiler

Compiled 3 291 to 743 computations (77.4% saved)

bsearch31.0ms (0.4%)

Memory

-28.1MiB live, 113.4MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	54066.13282214428	927079.366530879

Samples

10.0ms	53×	1	valid
9.0ms	29×	2	valid
3.0ms	30×	0	valid

Compiler

Compiled 410 to 325 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-pow2: 5.0ms (29.1% of total)

adjust: 3.0ms (17.5% of total)

ival-mult!: 3.0ms (17.5% of total)

ival-sqrt: 2.0ms (11.6% of total)

ival-add!: 1.0ms (5.8% of total)

ival-sub!: 1.0ms (5.8% of total)

ival-fabs: 1.0ms (5.8% of total)

bsearch2.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	54066.13282214428	927079.366530879

Compiler

Compiled 424 to 325 computations (23.3% saved)

bsearch2.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	54066.13282214428	927079.366530879

Compiler

Compiled 480 to 374 computations (22.1% saved)

bsearch30.0ms (0.4%)

Memory

0.3MiB live, 195.4MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.1023270443958142e-35	8.324480388007607e-35

Samples

13.0ms	35×	2	valid
8.0ms	31×	1	valid
2.0ms	14×	0	valid

Compiler

Compiled 380 to 289 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-pow2: 6.0ms (32.2% of total)

adjust: 3.0ms (16.1% of total)

ival-sub!: 3.0ms (16.1% of total)

ival-sqrt: 2.0ms (10.7% of total)

ival-mult!: 2.0ms (10.7% of total)

ival-fabs: 2.0ms (10.7% of total)

ival-add!: 1.0ms (5.4% of total)

bsearch96.0ms (1.3%)

Memory

-37.4MiB live, 639.4MiB allocated; 38ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	5.576787390615753e-50	2.3339374480668813e-49
45.0ms	4.1207247583342565e-225	3.93320814107093e-218

Samples

36.0ms	98×	1	valid
32.0ms	115×	2	valid
4.0ms	27×	0	valid

Compiler

Compiled 1 018 to 768 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

adjust: 27.0ms (44.9% of total)

ival-pow2: 12.0ms (20% of total)

ival-mult!: 7.0ms (11.6% of total)

ival-sqrt: 5.0ms (8.3% of total)

ival-add!: 3.0ms (5% of total)

ival-sub!: 3.0ms (5% of total)

ival-fabs: 3.0ms (5% of total)

bsearch2.0ms (0%)

Memory

12.2MiB live, 12.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.576787390615753e-50	2.3339374480668813e-49

Compiler

Compiled 325 to 264 computations (18.8% saved)

derivations140.0ms (1.9%)

Memory

-10.2MiB live, 373.0MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 453 to 104 computations (77% saved)

preprocess168.0ms (2.3%)

Memory: 24.3MiB live, 1 176.5MiB allocated; 47ms collecting garbage
Remove: (sort p r)
Compiler: Compiled 2 337 to 1 234 computations (47.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (29.9%)

preprocess44.0ms (0.6%)

series82.0ms (1.1%)

rewrite158.0ms (2.2%)

eval104.0ms (1.4%)

prune42.0ms (0.6%)

series198.0ms (2.7%)

rewrite189.0ms (2.6%)

eval377.0ms (5.2%)

prune91.0ms (1.3%)

series206.0ms (2.9%)

rewrite192.0ms (2.7%)

eval1.3s (18.5%)

prune106.0ms (1.5%)

series163.0ms (2.3%)

rewrite338.0ms (4.7%)

eval332.0ms (4.6%)

prune83.0ms (1.2%)

regimes535.0ms (7.4%)

bsearch31.0ms (0.4%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch30.0ms (0.4%)

bsearch96.0ms (1.3%)

bsearch2.0ms (0%)

derivations140.0ms (1.9%)

preprocess168.0ms (2.3%)

end0.0ms (0%)

Profiling