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

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample2.1s (33.8%)

Memory

81.9MiB live, 4 539.6MiB allocated; 468ms collecting garbage

Samples

742.0ms	2 379×	2	valid
638.0ms	3 061×	1	valid
279.0ms	2 816×	0	valid

Precisions

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

ival-pow2: 309.0ms (24.4% of total)

adjust: 300.0ms (23.7% of total)

ival-add!: 203.0ms (16.0% of total)

ival-sqrt: 166.0ms (13.1% of total)

ival-mult!: 117.0ms (9.2% of total)

ival-fabs: 93.0ms (7.4% of total)

ival-sub!: 77.0ms (6.1% of total)

Bogosity

preprocess32.0ms (0.5%)

Memory

-32.0MiB live, 65.6MiB allocated; 8ms 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
▶	26.8%	(.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

▶

26.8%

(*.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)

sample0.0ms (0.0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
(/ 1 2)
1
2
4

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 8 to 6 computations (25.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series54.0ms (0.9%)

Memory

14.2MiB live, 154.7MiB allocated; 6ms 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 (* (/ 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))))))))
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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)
#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 p #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 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)))))
#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 r (+.f64 r (*.f64 #s(literal -2 binary64) p)) (pow.f64 p #s(literal 2 binary64)))))
#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 (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))) (.f64 #s(literal -1 binary64) (.f64 r (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 p (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal 2 binary64) (pow.f64 q #s(literal 2 binary64)))) r))) r))))))
#s(approx (+ (pow (- p r) 2) (* 4 (pow q 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 (fma.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) r) (*.f64 #s(literal 2 binary64) p)) r)))))
#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
4.0ms	q	0
2.0ms	p	0
2.0ms	p	inf
2.0ms	p	-inf
2.0ms	r	inf

rewrite190.0ms (3.1%)

Memory

8.4MiB live, 363.9MiB allocated; 69ms 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	4126	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))))))))
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(/.f64 (-.f64 (.f64 p p) (.f64 r r)) (+.f64 p r))
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 r #s(literal 3 binary64))) (fma.f64 p p (fma.f64 r r (*.f64 r p))))
(neg.f64 (-.f64 r p))
(-.f64 (neg.f64 r) (neg.f64 p))
(-.f64 p r)
(+.f64 (neg.f64 r) p)
(+.f64 p (neg.f64 r))
(.f64 (.f64 #s(literal 4 binary64) (fabs.f64 q)) (fabs.f64 q))
(.f64 (.f64 #s(literal 4 binary64) (neg.f64 q)) (neg.f64 q))
(.f64 (.f64 #s(literal -4 binary64) q) (neg.f64 q))
(.f64 (.f64 q #s(literal 4 binary64)) q)
(.f64 (.f64 (neg.f64 q) q) #s(literal -4 binary64))
(.f64 (fabs.f64 q) (.f64 (fabs.f64 q) #s(literal 4 binary64)))
(.f64 (neg.f64 q) (.f64 (neg.f64 q) #s(literal 4 binary64)))
(.f64 #s(literal -4 binary64) (.f64 (neg.f64 q) q))
(.f64 (.f64 q q) #s(literal 4 binary64))
(.f64 q (.f64 q #s(literal 4 binary64)))
(.f64 #s(literal 4 binary64) (.f64 q q))
(neg.f64 (.f64 #s(literal -4 binary64) (.f64 q q)))
#s(literal 4 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 q))) (neg.f64 (neg.f64 (fabs.f64 q))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 q))) (neg.f64 (neg.f64 (neg.f64 q))))
(*.f64 (pow.f64 (fabs.f64 q) #s(literal 1 binary64)) (pow.f64 (fabs.f64 q) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 q) #s(literal 1 binary64)) (fabs.f64 q))
(*.f64 (pow.f64 (neg.f64 q) #s(literal 1 binary64)) (pow.f64 (neg.f64 q) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 q) #s(literal 1 binary64)) (neg.f64 q))
(*.f64 (neg.f64 (fabs.f64 q)) (neg.f64 (fabs.f64 q)))
(*.f64 (neg.f64 (neg.f64 q)) (neg.f64 (neg.f64 q)))
(*.f64 (fabs.f64 q) (fabs.f64 q))
(*.f64 (neg.f64 q) (neg.f64 q))
(*.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

eval129.0ms (2.1%)

Memory: 4.1MiB live, 309.1MiB allocated; 71ms collecting garbage
Compiler: Compiled 26 094 to 3 685 computations (85.9% saved)

prune38.0ms (0.6%)

Memory

27.0MiB live, 119.7MiB allocated; 8ms collecting garbage

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	605	26	631
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	606	26	632

Accuracy

68.6%

Counts

632 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.3%	(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)))
	25.0%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 (.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (+.f64 (fabs.f64 r) (fabs.f64 p))) (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) (+.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))))))
	24.4%	(.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))))))))
	25.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 (.f64 r r) (.f64 p p)) (-.f64 (fabs.f64 r) (fabs.f64 p))) (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))))))))
	18.7%	(.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)))))
	37.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	20.6%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 r)) (fabs.f64 p))) (fabs.f64 p)))
	26.7%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p))))))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))))))
	22.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r)))))))
▶	2.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 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)))))))
	24.4%	(.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))
	14.2%	#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))))))))
	16.4%	#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)))))))
	17.1%	#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))))
▶	2.0%	#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))))
▶	2.3%	#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))))
	2.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) r))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
▶	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.3%	#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)))))
	2.7%	#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 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) r) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r)) #s(literal 1/2 binary64)))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
	15.4%	#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)))))
▶	38.4%	#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 1 948 to 1 310 computations (32.8% saved)

sample0.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1
-1/2
1/2
(/ 1 2)
1
2

Outputs
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 8 computations (20.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series120.0ms (2.0%)

Memory

-49.2MiB live, 197.6MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	771	6362

Stop Event

1×	iter-limit

Counts

40 → 160

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

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

Calls

9 calls:

Time	Variable	Point
23.0ms	p	0
9.0ms	q	inf
7.0ms	p	inf
7.0ms	p	-inf
4.0ms	r	inf

rewrite164.0ms (2.7%)

Memory

5.6MiB live, 383.4MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	456
0	81	426
1	398	399
2	1655	389
0	4078	380

Stop Event

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

Counts

40 → 1 059

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

Outputs
#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
(*.f64 #s(literal -1 binary64) q)
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(.f64 (/.f64 #s(literal 1 binary64) (.f64 p p)) (*.f64 q q))
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(pow.f64 (/.f64 q p) #s(literal 2 binary64))
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(fabs.f64 (*.f64 (neg.f64 (neg.f64 p)) p))
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(fabs.f64 (*.f64 (fabs.f64 p) (neg.f64 (neg.f64 p))))
(fabs.f64 (*.f64 p (neg.f64 (neg.f64 p))))
(fabs.f64 (*.f64 (neg.f64 p) (fabs.f64 p)))
(fabs.f64 (*.f64 (fabs.f64 p) (neg.f64 p)))
(fabs.f64 (*.f64 (fabs.f64 p) p))
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eval226.0ms (3.7%)

Memory: 38.4MiB live, 549.1MiB allocated; 60ms collecting garbage
Compiler: Compiled 89 032 to 9 342 computations (89.5% saved)

prune67.0ms (1.1%)

Memory

-9.4MiB live, 181.9MiB allocated; 11ms collecting garbage

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 668	13	1 681
Fresh	9	12	21
Picked	4	1	5
Done	0	0	0
Total	1 681	26	1 707

Accuracy

76.7%

Counts

1 707 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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))))))))
	37.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	22.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r)))))))
	2.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 p (fma.f64 (/.f64 #s(literal 1 binary64) p) (fabs.f64 r) (-.f64 (copysign.f64 #s(literal -1 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 r p)))))))
	1.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 p (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 r) p) (/.f64 (neg.f64 r) p))) (+.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1 binary64)) (/.f64 (neg.f64 r) p))))))
	3.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
	24.4%	(.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))
	16.4%	#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)))))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p))
	17.1%	#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))))
▶	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (fma.f64 (/.f64 #s(literal -1 binary64) p) (/.f64 (.f64 q q) p) (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (fma.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) (.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
▶	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (-.f64 #s(approx ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) #s(literal 1/2 binary64))))
	4.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 r 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) r))
	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
▶	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.7%	#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 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) r) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r)) #s(literal 1/2 binary64)))))
	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
	15.4%	#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)))))
▶	38.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	1.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (.f64 (pow.f64 q #s(literal 2 binary64)) (-.f64 (/.f64 (.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))) (pow.f64 q #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) p)))))
▶	20.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 q #s(literal 2 binary64)) p))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) (fma.f64 #s(literal -1/2 binary64) p (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r))))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r)))))

Compiler

Compiled 2 138 to 1 485 computations (30.5% saved)

sample0.0ms (0.0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1/2
1/2
-1
2

Outputs
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series54.0ms (0.9%)

Memory

1.1MiB live, 139.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	4079

Stop Event

1×	iter-limit

Counts

35 → 107

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
5.0ms	r	0
4.0ms	p	-inf
3.0ms	p	inf
3.0ms	p	0
2.0ms	q	inf

rewrite1.9s (30.8%)

Memory

-391.3MiB live, 508.0MiB allocated; 3.0s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	444
0	82	425
1	453	420
2	1816	410
0	4599	405

Stop Event

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

Counts

35 → 707

Calls

Call 1

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

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

eval129.0ms (2.1%)

Memory: -15.4MiB live, 305.7MiB allocated; 41ms collecting garbage
Compiler: Compiled 44 753 to 4 701 computations (89.5% saved)

prune59.0ms (1.0%)

Memory

29.0MiB live, 128.9MiB allocated; 9ms collecting garbage

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	768	7	775
Fresh	1	19	20
Picked	3	2	5
Done	0	1	1
Total	772	29	801

Accuracy

77.4%

Counts

801 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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))))))))
▶	37.4%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (*.f64 #s(literal 2 binary64) q))))
	22.1%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 r (-.f64 (+.f64 (/.f64 (fabs.f64 p) r) (/.f64 (fabs.f64 r) r)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r)))))))
	2.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 p (fma.f64 (/.f64 #s(literal 1 binary64) p) (fabs.f64 r) (-.f64 (copysign.f64 #s(literal -1 binary64) p) (-.f64 #s(literal 1 binary64) (/.f64 r p)))))))
	1.3%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (.f64 p (/.f64 (-.f64 (.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1 binary64)) (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1 binary64))) (*.f64 (/.f64 (neg.f64 r) p) (/.f64 (neg.f64 r) p))) (+.f64 (-.f64 (/.f64 (+.f64 (fabs.f64 r) (fabs.f64 p)) p) #s(literal 1 binary64)) (/.f64 (neg.f64 r) p))))))
▶	3.5%	(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (*.f64 #s(literal 2 binary64) q)))
▶	24.4%	(.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))
	16.4%	#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)))))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p))
	17.1%	#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))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (fma.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) (.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
	4.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 r 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) r))
▶	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	2.7%	#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 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p (pow.f64 q #s(literal 2 binary64))) r) (.f64 #s(literal -1 binary64) (pow.f64 q #s(literal 2 binary64)))) r) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) p))) r)) #s(literal 1/2 binary64)))))
▶	2.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 #s(literal -1 binary64) (.f64 q (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) q)) #s(literal 1 binary64)))))
	15.4%	#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)))))
✓	38.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	20.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 (*.f64 (neg.f64 q) q) p)))
	20.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 (neg.f64 q) q)))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) p) q) q)))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (neg.f64 q) (/.f64 q p))))
	20.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal -2 binary64))) p))))
	22.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (.f64 (.f64 q q) (.f64 q q))) p))))
	20.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 q) #s(literal 2 binary64))) p))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) (fma.f64 #s(literal -1/2 binary64) p (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r))))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r)))))

Compiler

Compiled 2 447 to 1 654 computations (32.4% saved)

sample0.0ms (0.0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
(/ 1 2)
1
2
1/2
-1
-1/2
4

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
#s(literal -1 binary64)
#s(literal -1/2 binary64)
#s(literal 4 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 11 to 9 computations (18.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series97.0ms (1.6%)

Memory

-34.4MiB live, 253.3MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1199	10755

Stop Event

1×	iter-limit

Counts

35 → 246

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
7.0ms	q	0
4.0ms	p	0
3.0ms	q	inf
3.0ms	q	-inf
3.0ms	p	inf

rewrite155.0ms (2.5%)

Memory

10.8MiB live, 387.6MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	342
0	71	328
1	333	319
2	1170	308
0	4267	307

Stop Event

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

Counts

35 → 832

Calls

Call 1

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

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

eval191.0ms (3.1%)

Memory: 35.8MiB live, 460.7MiB allocated; 95ms collecting garbage
Compiler: Compiled 48 068 to 6 033 computations (87.4% saved)

prune52.0ms (0.9%)

Memory

15.7MiB live, 154.9MiB allocated; 15ms collecting garbage

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1 166	9	1 175
Fresh	5	16	21
Picked	3	2	5
Done	0	3	3
Total	1 174	30	1 204

Accuracy

82.5%

Counts

1 204 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.3%	(.f64 (-.f64 (-.f64 (.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))))) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	6.2%	(.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))
✓	24.4%	(.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))
	21.4%	(.f64 (-.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 q #s(literal 4 binary64)) q (.f64 (-.f64 r p) (-.f64 r p)))) (fabs.f64 p)) (exp.f64 (.f64 (log.f64 (*.f64 r r)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
	37.4%	(.f64 (-.f64 (-.f64 #s(approx (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2)))) (+.f64 q q)) (fabs.f64 p)) (fabs.f64 r)) #s(literal -1/2 binary64))
	16.7%	(.f64 (-.f64 #s(approx (- (sqrt (+ ( (* q 4) q) (* (- r p) (- r p)))) (fabs p)) (.f64 r (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 p r))) (/.f64 (fabs.f64 p) r)))) (fabs.f64 r)) #s(literal -1/2 binary64))
	2.3%	(.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))
	3.5%	(.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (+.f64 q q)) #s(literal 1/2 binary64))
	16.4%	#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)))))))
	2.2%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (-.f64 q (*.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 r) (fabs.f64 p)))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 (fma.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) p) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) p))
	17.1%	#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))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p (fma.f64 (+.f64 (+.f64 (fabs.f64 r) r) (fabs.f64 p)) (.f64 (/.f64 #s(literal 1 binary64) p) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))
	4.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (.f64 p #s(approx (- ( 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2) (*.f64 #s(literal 1/2 binary64) (/.f64 r 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) r))
✓	5.1%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal 1/2 binary64) p))
✓	5.9%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) r))
✓	3.0%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (*.f64 #s(literal -1/2 binary64) p))
	15.4%	#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)))))
✓	38.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) (neg.f64 q))
	20.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 (*.f64 (neg.f64 q) q) p)))
	20.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 (neg.f64 q) q)))))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (.f64 (.f64 (/.f64 #s(literal -1 binary64) p) q) q)))
	16.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (neg.f64 q) (/.f64 q p))))
	20.8%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 q #s(literal -2 binary64))) p))))
	22.6%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (.f64 (.f64 q q) (.f64 q q))) p))))
	20.4%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 q) #s(literal 2 binary64))) p))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) (fma.f64 #s(literal -1/2 binary64) p (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r))))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* p (- (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p)) 1/2)) (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (.f64 #s(literal -1 binary64) r)))))
	2.3%	#s(approx (* (/ 1 2) (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) (* 4 (pow q 2)))))) #s(approx (* -1 (* q (- (* -1/2 (/ (+ (fabs p) (fabs r)) q)) 1))) (*.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 p) (fabs.f64 r)))))

Compiler

Compiled 1 211 to 835 computations (31.0% saved)

regimes234.0ms (3.8%)

Memory

-9.0MiB live, 525.9MiB allocated; 49ms collecting garbage

Counts

7 → 1

8 → 2

13 → 2

17 → 2

56 → 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))
(.f64 #s(approx (- (+ (fabs p) (fabs r)) (sqrt (+ (pow (- p r) 2) ( 4 (pow q 2))))) (+.f64 q q)) #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))
(.f64 #s(approx (- (+ (fabs p) (fabs r)) (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 (* p (- (+ (* -1 (/ (pow q 2) (pow p 2))) (* 1/2 (/ (- (+ (fabs p) (fabs r)) (* -1 r)) p))) 1/2)) (*.f64 (neg.f64 q) (/.f64 q p))))

Outputs

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

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

Outputs

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

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

Outputs

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

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

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

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

Calls

23 calls:

24.0ms	q
20.0ms	(pow.f64 q #s(literal 2 binary64))
17.0ms	r
17.0ms	p
15.0ms	(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
38.4%	1	`p`
38.4%	1	`r`
38.4%	1	`(-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64))))))`
38.4%	1	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 (+.f64 (fabs.f64 p) (fabs.f64 r)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 p r) #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))))))`
38.4%	1	`(pow.f64 q #s(literal 2 binary64))`
38.4%	1	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
38.4%	1	`q`
50.6%	2	`(pow.f64 q #s(literal 2 binary64))`
50.6%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
50.6%	2	`q`
54.1%	2	`(pow.f64 q #s(literal 2 binary64))`
54.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
54.1%	2	`q`
54.1%	2	`(pow.f64 q #s(literal 2 binary64))`
54.1%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
54.1%	2	`q`
56.4%	2	`(pow.f64 q #s(literal 2 binary64))`
56.4%	2	`(*.f64 #s(literal 4 binary64) (pow.f64 q #s(literal 2 binary64)))`
50.0%	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))))))`
50.0%	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)))))))`
42.4%	2	`p`
43.5%	2	`r`
56.4%	2	`q`

Compiler

Compiled 2 451 to 510 computations (79.2% saved)

bsearch34.0ms (0.5%)

Memory

-40.4MiB live, 101.4MiB allocated; 12ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	9.378519762211125e-73	1.1305785150736785e-69

Samples

9.0ms	36×	1	valid
9.0ms	36×	2	valid
5.0ms	56×	0	valid

Compiler

Compiled 729 to 504 computations (30.9% saved)

Precisions

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

ival-pow2: 5.0ms (26.5% of total)

ival-mult!: 5.0ms (26.5% of total)

adjust: 3.0ms (15.9% of total)

ival-sqrt: 2.0ms (10.6% of total)

ival-add!: 1.0ms (5.3% of total)

ival-sub!: 1.0ms (5.3% of total)

ival-fabs: 1.0ms (5.3% of total)

bsearch2.0ms (0.0%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.378519762211125e-73	1.1305785150736785e-69

Compiler

Compiled 697 to 496 computations (28.8% saved)

bsearch1.0ms (0.0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.378519762211125e-73	1.1305785150736785e-69

Compiler

Compiled 681 to 480 computations (29.5% saved)

bsearch1.0ms (0.0%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	9.378519762211125e-73	1.1305785150736785e-69

Compiler

Compiled 681 to 480 computations (29.5% saved)

derivations88.0ms (1.4%)

Memory

-9.5MiB live, 177.7MiB allocated; 20ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 377 to 59 computations (84.4% saved)

preprocess61.0ms (1.0%)

Memory: 28.6MiB live, 218.8MiB allocated; 16ms collecting garbage
Symmetry: (abs q)
Compiler: Compiled 2 693 to 1 170 computations (56.6% saved)

end0.0ms (0.0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample2.1s (33.8%)

preprocess32.0ms (0.5%)

sample0.0ms (0.0%)

series54.0ms (0.9%)

rewrite190.0ms (3.1%)

eval129.0ms (2.1%)

prune38.0ms (0.6%)

sample0.0ms (0.0%)

series120.0ms (2.0%)

rewrite164.0ms (2.7%)

eval226.0ms (3.7%)

prune67.0ms (1.1%)

sample0.0ms (0.0%)

series54.0ms (0.9%)

rewrite1.9s (30.8%)

eval129.0ms (2.1%)

prune59.0ms (1.0%)

sample0.0ms (0.0%)

series97.0ms (1.6%)

rewrite155.0ms (2.5%)

eval191.0ms (3.1%)

prune52.0ms (0.9%)

regimes234.0ms (3.8%)

bsearch34.0ms (0.5%)

bsearch2.0ms (0.0%)

bsearch1.0ms (0.0%)

bsearch1.0ms (0.0%)

derivations88.0ms (1.4%)

preprocess61.0ms (1.0%)

end0.0ms (0.0%)

Profiling