Metrics for Given's Rotation SVD example

start0.0ms (0%)

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

analyze402.0ms (7.7%)

Memory

-43.5MiB live, 589.1MiB allocated; 133ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	48.6%	51.4%	0%	0%	0%	0
0%	0%	48.6%	51.4%	0%	0%	0%	1
0%	0%	48.6%	51.4%	0%	0%	0%	2
0%	0%	48.6%	51.4%	0%	0%	0%	3
0%	0%	48.6%	51.4%	0%	0%	0%	4
31.3%	15.2%	33.4%	51.4%	0%	0%	0%	5
34.4%	16.7%	31.9%	51.4%	0%	0%	0%	6
51.6%	25.1%	23.6%	51.4%	0%	0%	0%	7
53.1%	25.8%	22.8%	51.4%	0%	0%	0%	8
62.5%	30.4%	18.2%	51.4%	0%	0%	0%	9
63.7%	31%	17.7%	51.4%	0%	0%	0%	10
68.6%	33.3%	15.3%	51.4%	0%	0%	0%	11
69.2%	33.7%	15%	51.4%	0%	0%	0%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample2.0s (38.4%)

Memory

-75.6MiB live, 1 540.6MiB allocated; 1.1s collecting garbage

Samples

987.0ms	6 224×	0	valid
238.0ms	1 005×	2	valid
170.0ms	428×	3	valid
114.0ms	599×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult!: 674.0ms (57.3% of total)

ival-sqrt: 234.0ms (19.9% of total)

adjust: 125.0ms (10.6% of total)

ival-div!: 70.0ms (6% of total)

ival-add!: 67.0ms (5.7% of total)

ival-fabs: 4.0ms (0.3% of total)

ival-<: 2.0ms (0.2% of total)

ival-and: 1.0ms (0.1% of total)

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

Bogosity

preprocess89.0ms (1.7%)

Memory

-4.8MiB live, 40.2MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	106
1	129	104
2	333	104
3	1014	104
4	6419	104

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Symmetry

(abs p)

Compiler

Compiled 28 to 28 computations (0% saved)

series40.0ms (0.8%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Counts

14 → 118

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
x
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)

Outputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* -1/2 (/ (* (pow p 2) x) (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -1/2 (/ x (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))) (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -1/2 (/ x (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))) (* (pow p 2) (+ (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7))))) (* -1/2 (/ (* x (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6)))))) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 3)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (pow x 2)) 3))) (* -1/2 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (pow x 2)) 3))) (* (pow p 2) (+ (* -1/2 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (/ x (sqrt (pow x 2))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (/ x (sqrt (pow x 2)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ x (sqrt (pow x 2)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (sqrt (pow x 2))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* 2 (/ (pow p 2) (sqrt (pow x 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow (sqrt (pow x 2)) 3))) (* 2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow (sqrt (pow x 2)) 5))) (* 2 (/ 1 (pow (sqrt (pow x 2)) 3))))) (* 2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* (* 4 p) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* 4 p) #s(hole binary64 (* 4 p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* 1/2 (/ x p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 5))) (* 1/2 (/ x p)))) (* 1/16 (/ (pow x 3) (pow p 3))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/1024 (pow x 7))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (pow x 5) (pow p 4))) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/16 (/ (pow x 3) (pow p 2)))))) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/1024 (pow x 7))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (pow x 5) (pow p 4))) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/16 (/ (pow x 3) (pow p 2)))))) p))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ x (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ x (* (pow (sqrt 1/2) 3) (pow (sqrt (* 4 (pow p 2))) 2)))) (* 1/4 (/ 1 (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 4) (pow (sqrt (* 4 (pow p 2))) 3)))) (* 1/4 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (sqrt 1/2))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (sqrt (* 4 (pow p 2))) 2)))))) (* 1/4 (/ 1 (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ x (sqrt (* 4 (pow p 2))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/4 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (/ x (sqrt (* 4 (pow p 2)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* x (+ (* -1/2 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (/ 1 (sqrt (* 4 (pow p 2)))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (- (* 3/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2)))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ x (sqrt (* 4 (pow p 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* -1/2 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 7))) (* 3/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 5))))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (sqrt (* 4 (pow p 2)))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* 1/2 (/ (pow x 2) (sqrt (* 4 (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (sqrt (pow p 2)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2)))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2))))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))))))) (* 1/4 (/ (* (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2))))) (pow (sqrt (pow p 2)) 2)))) (* (pow x 6) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2)))))))) x))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* -8 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (pow x 6))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (/ (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))))))) (pow x 2))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ 1 (* -2 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ (* -8 (pow p 6)) (* -2 (* (pow p 2) (+ (* 2 (pow p 4)) (* 4 (pow p 4)))))) (pow x 6))) (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* 2 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 4) (pow x 4)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) x (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))
7.0ms	p	@	0	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) x (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))
7.0ms	x	@	0	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) x (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))
6.0ms	p	@	inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) x (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))
5.0ms	x	@	inf	((sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) x (sqrt (+ (* (* 4 p) p) (* x x))) (+ (* (* 4 p) p) (* x x)) (* (* 4 p) p) (* 4 p) 4 p (* x x))

rewrite213.0ms (4.1%)

Memory

6.3MiB live, 381.4MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	697	5737
0	712	5066
1	4369	4933
0	8356	4536

Stop Event

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

Counts

132 → 286

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
#s(literal 1 binary64)
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
x
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
#s(literal 4 binary64)
p
(*.f64 x x)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* -1/2 (/ (* (pow p 2) x) (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -1/2 (/ x (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))) (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -1/2 (/ x (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))) (* (pow p 2) (+ (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7))))) (* -1/2 (/ (* x (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6)))))) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 3)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (pow x 2)) 3))) (* -1/2 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (pow x 2)) 3))) (* (pow p 2) (+ (* -1/2 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (/ x (sqrt (pow x 2))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (/ x (sqrt (pow x 2)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ x (sqrt (pow x 2)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (sqrt (pow x 2))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* 2 (/ (pow p 2) (sqrt (pow x 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow (sqrt (pow x 2)) 3))) (* 2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow (sqrt (pow x 2)) 5))) (* 2 (/ 1 (pow (sqrt (pow x 2)) 3))))) (* 2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* (* 4 p) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* 4 p) #s(hole binary64 (* 4 p)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 1/2))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 1))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* 1/2 (/ x p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 5))) (* 1/2 (/ x p)))) (* 1/16 (/ (pow x 3) (pow p 3))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/1024 (pow x 7))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (pow x 5) (pow p 4))) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/16 (/ (pow x 3) (pow p 2)))))) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/1024 (pow x 7))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (pow x 5) (pow p 4))) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/16 (/ (pow x 3) (pow p 2)))))) p))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ x (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ x (* (pow (sqrt 1/2) 3) (pow (sqrt (* 4 (pow p 2))) 2)))) (* 1/4 (/ 1 (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 4) (pow (sqrt (* 4 (pow p 2))) 3)))) (* 1/4 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (sqrt 1/2))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (sqrt (* 4 (pow p 2))) 2)))))) (* 1/4 (/ 1 (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* 1/2 (/ x (sqrt (* 4 (pow p 2))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/4 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (/ x (sqrt (* 4 (pow p 2)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* x (+ (* -1/2 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (/ 1 (sqrt (* 4 (pow p 2)))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (- (* 3/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2)))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (/ x (sqrt (* 4 (pow p 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* -1/2 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 7))) (* 3/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 5))))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (sqrt (* 4 (pow p 2)))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* 1/2 (/ (pow x 2) (sqrt (* 4 (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 2))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* (* 4 p) p) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (sqrt (pow p 2)) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2)))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2))))))) x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))))))) (* 1/4 (/ (* (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2))))) (pow (sqrt (pow p 2)) 2)))) (* (pow x 6) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2)))))))) x))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(hole binary64 (/ (+ (* -8 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (pow x 6))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (/ (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))))))) (pow x 2))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ 1 (* -2 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ (* -8 (pow p 6)) (* -2 (* (pow p 2) (+ (* 2 (pow p 4)) (* 4 (pow p 4)))))) (pow x 6))) (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* 2 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 4) (pow x 4)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))

Outputs
(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))))
(pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(+.f64 #s(literal 1/2 binary64) (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
#s(literal 1 binary64)
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
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#s(approx p p)
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#s(approx x x)
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#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (.f64 p p)) (*.f64 x x)))
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eval40.0ms (0.8%)

Memory: 10.4MiB live, 101.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 797 to 1 777 computations (63% saved)

prune30.0ms (0.6%)

Memory

-3.3MiB live, 49.4MiB allocated; 27ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	261	18	279
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	262	18	280

Accuracy

89.1%

Counts

280 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.7%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	56.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
	77.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))))
	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))))))))
▶	67.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x)))))))))
▶	75.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))))))))
	75.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/2 binary64)))))))
	46.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p))) #s(literal 2 binary64)) p))))))
	5.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))))
	4.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
	33.2%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
	54.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
▶	54.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
	13.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
▶	58.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	77.7%	(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
	15.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))

Compiler

Compiled 676 to 636 computations (5.9% saved)

series103.0ms (2%)

Memory

6.1MiB live, 183.2MiB allocated; 55ms collecting garbage

Counts

39 → 173

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
(/.f64 x p)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x)))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (*.f64 x x))))))
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))))))
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64))))))
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64))
(log.f64 (*.f64 x x))

Outputs
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* -1/2 (/ (* (pow p 2) x) (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -1/2 (/ x (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))) (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -1/2 (/ x (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))) (* (pow p 2) (+ (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7))))) (* -1/2 (/ (* x (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6)))))) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 3)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (pow x 2)) 3))) (* -1/2 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (pow x 2)) 3))) (* (pow p 2) (+ (* -1/2 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (/ x (sqrt (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (/ x (sqrt (pow x 2)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ x (sqrt (pow x 2)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (sqrt (pow x 2))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* 2 (/ (pow p 2) (sqrt (pow x 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow (sqrt (pow x 2)) 3))) (* 2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow (sqrt (pow x 2)) 5))) (* 2 (/ 1 (pow (sqrt (pow x 2)) 3))))) (* 2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx p #s(hole binary64 p))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* -1/4 (/ x p))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (/ (+ (* -1/4 x) (* 1/2 p)) p)))
#s(approx (/ x p) #s(hole binary64 (/ x p)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) #s(hole binary64 (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))) (* -1/2 (/ (* (pow p 2) x) (* (pow (sqrt (sqrt (pow x 4))) 3) (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))) (* (pow p 2) (+ (* -1/2 (/ x (* (pow (sqrt (sqrt (pow x 4))) 3) (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))))))) (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (sqrt (pow x 4))) 6) (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))) 2)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))) (* (pow p 2) (+ (* -1/2 (/ x (* (pow (sqrt (sqrt (pow x 4))) 3) (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))))))) (* (pow p 2) (+ (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))) (pow (sqrt (sqrt (pow x 4))) 2))) (* 8 (/ x (pow (sqrt (sqrt (pow x 4))) 7))))) (* -1/2 (/ (* x (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (sqrt (pow x 4))) 6) (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))) 2)))))) (* (pow (sqrt (sqrt (pow x 4))) 3) (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))) 2)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (sqrt (pow x 4))) 6) (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))) 2))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) x) (pow (sqrt (sqrt (pow x 4))) 3))) (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (sqrt (pow x 4))) 3))) (* -1/2 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (sqrt (pow x 4))) 3))) (* (pow p 2) (+ (* -1/2 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))) (pow (sqrt (sqrt (pow x 4))) 2))) (* 8 (/ x (pow (sqrt (sqrt (pow x 4))) 7)))))) (* -1/2 (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5))))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (sqrt (pow x 4))) 3))) (/ x (sqrt (sqrt (pow x 4))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))) (* 2 (/ x (pow (sqrt (sqrt (pow x 4))) 3))))) (/ x (sqrt (sqrt (pow x 4))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))) (pow (sqrt (sqrt (pow x 4))) 2))) (* 8 (/ x (pow (sqrt (sqrt (pow x 4))) 7)))))) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))) (* 2 (/ x (pow (sqrt (sqrt (pow x 4))) 3))))) (/ x (sqrt (sqrt (pow x 4))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (/ x (sqrt (sqrt (pow x 4))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (sqrt (pow x 4))) 3))) (/ x (sqrt (sqrt (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))) (* 2 (/ x (pow (sqrt (sqrt (pow x 4))) 3))))) (/ x (sqrt (sqrt (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))) (pow (sqrt (sqrt (pow x 4))) 2))) (* 8 (/ x (pow (sqrt (sqrt (pow x 4))) 7)))))) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))) (* 2 (/ x (pow (sqrt (sqrt (pow x 4))) 3))))) (/ x (sqrt (sqrt (pow x 4)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (sqrt (sqrt (pow x 4)))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (+ (sqrt (sqrt (pow x 4))) (* 2 (/ (pow p 2) (sqrt (sqrt (pow x 4))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (+ (sqrt (sqrt (pow x 4))) (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow (sqrt (sqrt (pow x 4))) 3))) (* 2 (/ 1 (sqrt (sqrt (pow x 4))))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (+ (sqrt (sqrt (pow x 4))) (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow (sqrt (sqrt (pow x 4))) 5))) (* 2 (/ 1 (pow (sqrt (sqrt (pow x 4))) 3))))) (* 2 (/ 1 (sqrt (sqrt (pow x 4))))))))))
#s(approx (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) #s(hole binary64 (sqrt (pow x 4))))
#s(approx (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) #s(hole binary64 (+ (sqrt (pow x 4)) (* 4 (pow p 2)))))
#s(approx (* (* 4 p) p) #s(hole binary64 (* 4 (pow p 2))))
#s(approx (* 4 p) #s(hole binary64 (* 4 p)))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 1))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* 1/2 (/ x p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 5))) (* 1/2 (/ x p)))) (* 1/16 (/ (pow x 3) (pow p 3))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/1024 (pow x 7))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (pow x 5) (pow p 4))) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/16 (/ (pow x 3) (pow p 2)))))) p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* 2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2))))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (+ 1/2 (* -1/4 (/ x p)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (* x (sqrt (pow x 4)))) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ 1/2 (+ (* -1/32 (/ (* x (sqrt (pow x 4))) (pow p 3))) (* 1/4 (/ x p))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))) (pow p 5))) (+ (* -1/32 (/ (* x (sqrt (pow x 4))) (pow p 3))) (* 1/4 (/ x p)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (+ (* -1/16 (/ (* x (sqrt (pow x 4))) (pow p 3))) (* 1/2 (/ x p))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))) (pow p 5))) (* 1/2 (/ x p)))) (* 1/16 (/ (* x (sqrt (pow x 4))) (pow p 3))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (/ (+ (* -1/16 (/ (* x (sqrt (pow x 4))) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (* x (sqrt (pow x 4))) (pow p 2)))) p)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 4)) (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))))) (* 1/1024 (* x (pow (sqrt (pow x 4)) 3)))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (* x (pow (sqrt (pow x 4)) 2)) (pow p 4))) (+ (* -1/256 (/ (* x (pow (sqrt (pow x 4)) 2)) (pow p 4))) (* 1/16 (/ (* x (sqrt (pow x 4))) (pow p 2)))))) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (sqrt (pow x 4)) (pow p 2)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow (sqrt (pow x 4)) 2) (pow p 4))) (* 1/4 (/ (sqrt (pow x 4)) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (* p (+ 2 (+ (* -1/64 (/ (pow (sqrt (pow x 4)) 2) (pow p 4))) (+ (* 1/512 (/ (pow (sqrt (pow x 4)) 3) (pow p 6))) (* 1/4 (/ (sqrt (pow x 4)) (pow p 2)))))))))
#s(approx (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) #s(hole binary64 (* (pow p 2) (+ 4 (/ (sqrt (pow x 4)) (pow p 2))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2)))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/1024 (pow x 7))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (pow x 5) (pow p 4))) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/16 (/ (pow x 3) (pow p 2)))))) p))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* x (sqrt (pow x 4)))) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (* x (sqrt (pow x 4))) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))) (pow p 4))) (+ (* -1/32 (/ (* x (sqrt (pow x 4))) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (* x (sqrt (pow x 4))) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (* x (sqrt (pow x 4))) (pow p 2)))) p)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (* x (sqrt (pow x 4))) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (* x (sqrt (pow x 4))) (pow p 2)))) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 4)) (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))))) (* 1/1024 (* x (pow (sqrt (pow x 4)) 3)))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (* x (pow (sqrt (pow x 4)) 2)) (pow p 4))) (+ (* -1/256 (/ (* x (pow (sqrt (pow x 4)) 2)) (pow p 4))) (* 1/16 (/ (* x (sqrt (pow x 4))) (pow p 2)))))) p))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (sqrt (pow x 4)) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow (sqrt (pow x 4)) 2) (pow p 4))) (* 1/4 (/ (sqrt (pow x 4)) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow (sqrt (pow x 4)) 2) (pow p 4))) (+ (* 1/512 (/ (pow (sqrt (pow x 4)) 3) (pow p 6))) (* 1/4 (/ (sqrt (pow x 4)) (pow p 2))))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ x (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ x (* (pow (sqrt 1/2) 3) (pow (sqrt (* 4 (pow p 2))) 2)))) (* 1/4 (/ 1 (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 4) (pow (sqrt (* 4 (pow p 2))) 3)))) (* 1/4 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (sqrt 1/2))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (sqrt (* 4 (pow p 2))) 2)))))) (* 1/4 (/ 1 (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x (sqrt (* 4 (pow p 2))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/4 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (/ x (sqrt (* 4 (pow p 2)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (/ 1 (sqrt (* 4 (pow p 2)))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (- (* 3/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2)))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ x (sqrt (* 4 (pow p 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* -1/2 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 7))) (* 3/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 5))))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (sqrt (* 4 (pow p 2)))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* 1/2 (/ (pow x 2) (sqrt (* 4 (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* (log (* x x)) 1) #s(hole binary64 (* 2 (log x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 2))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 p))))))
#s(approx (* (log (* x x)) 1) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (sqrt (pow p 2)) x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2)))))) x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2))))))) x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))))))) (* 1/4 (/ (* (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2))))) (pow (sqrt (pow p 2)) 2)))) (* (pow x 6) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2)))))))) x))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* -8 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (pow x 6))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (/ (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))))))) (pow x 2))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ 1 (* -2 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ (* -8 (pow p 6)) (* -2 (* (pow p 2) (+ (* 2 (pow p 4)) (* 4 (pow p 4)))))) (pow x 6))) (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* 2 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 4) (pow x 4)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x)))))))
#s(approx (* (log (* x x)) 1) #s(hole binary64 (* -2 (log (/ -1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) (* (* 4 p) p) (* 4 p) (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))) (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))) (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))) (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))) (exp (* (log (* x x)) 1)) (* (log (* x x)) 1) (log (* x x)))
27.0ms	x	@	-inf	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) (* (* 4 p) p) (* 4 p) (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))) (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))) (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))) (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))) (exp (* (log (* x x)) 1)) (* (log (* x x)) 1) (log (* x x)))
10.0ms	x	@	inf	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) (* (* 4 p) p) (* 4 p) (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))) (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))) (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))) (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))) (exp (* (log (* x x)) 1)) (* (log (* x x)) 1) (log (* x x)))
10.0ms	p	@	0	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) (* (* 4 p) p) (* 4 p) (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))) (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))) (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))) (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))) (exp (* (log (* x x)) 1)) (* (log (* x x)) 1) (log (* x x)))
7.0ms	p	@	inf	((sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* -1/4 (/ x p)) 1/2) -1/4 (/ x p) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) (* (* 4 p) p) (* 4 p) (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))))) (/ x (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))))) (sqrt (+ (* (* 4 p) p) (exp (* (log (* x x)) 1)))) (+ (* (* 4 p) p) (exp (* (log (* x x)) 1))) (exp (* (log (* x x)) 1)) (* (log (* x x)) 1) (log (* x x)))

rewrite333.0ms (6.4%)

Memory

-13.8MiB live, 258.1MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1020	8966
0	1064	7348
1	6940	7188
0	8937	6794

Stop Event

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

Counts

212 → 634

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
#s(literal -1/4 binary64)
(/.f64 x p)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x)))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (*.f64 x x))))))
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (.f64 #s(literal 4 binary64) p) p)
(*.f64 #s(literal 4 binary64) p)
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))))))
(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64))))))
(sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64))
(log.f64 (*.f64 x x))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* -1/2 (/ (* (pow p 2) x) (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))))))
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#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))
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#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
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#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow (sqrt (pow x 2)) 3))) (* 2 (/ 1 (sqrt (pow x 2)))))))))
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#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (/ (+ (* -1/4 x) (* 1/2 p)) p)))
#s(approx (/ x p) #s(hole binary64 (/ x p)))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))) (* (pow p 2) (+ (* -1/2 (/ x (* (pow (sqrt (sqrt (pow x 4))) 3) (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))))))) (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (sqrt (pow x 4))) 6) (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))) 2)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))))))))))
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#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4))))))))
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#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (sqrt (pow x 4))) 3))) (* -1/2 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (sqrt (pow x 4))) 3))) (* (pow p 2) (+ (* -1/2 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))) (pow (sqrt (sqrt (pow x 4))) 2))) (* 8 (/ x (pow (sqrt (sqrt (pow x 4))) 7)))))) (* -1/2 (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5))))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (/ x (sqrt (sqrt (pow x 4)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (sqrt (pow x 4))) 3))) (/ x (sqrt (sqrt (pow x 4))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))) (* 2 (/ x (pow (sqrt (sqrt (pow x 4))) 3))))) (/ x (sqrt (sqrt (pow x 4))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))) (pow (sqrt (sqrt (pow x 4))) 2))) (* 8 (/ x (pow (sqrt (sqrt (pow x 4))) 7)))))) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))) (* 2 (/ x (pow (sqrt (sqrt (pow x 4))) 3))))) (/ x (sqrt (sqrt (pow x 4))))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (/ x (sqrt (sqrt (pow x 4))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (sqrt (pow x 4))) 3))) (/ x (sqrt (sqrt (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))) (* 2 (/ x (pow (sqrt (sqrt (pow x 4))) 3))))) (/ x (sqrt (sqrt (pow x 4)))))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))) (pow (sqrt (sqrt (pow x 4))) 2))) (* 8 (/ x (pow (sqrt (sqrt (pow x 4))) 7)))))) (+ (* -4 (/ x (pow (sqrt (sqrt (pow x 4))) 5))) (* -2 (/ x (pow (sqrt (sqrt (pow x 4))) 5)))))) (* 2 (/ x (pow (sqrt (sqrt (pow x 4))) 3))))) (/ x (sqrt (sqrt (pow x 4)))))))
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#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (+ (sqrt (sqrt (pow x 4))) (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow (sqrt (sqrt (pow x 4))) 3))) (* 2 (/ 1 (sqrt (sqrt (pow x 4))))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (+ (sqrt (sqrt (pow x 4))) (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow (sqrt (sqrt (pow x 4))) 5))) (* 2 (/ 1 (pow (sqrt (sqrt (pow x 4))) 3))))) (* 2 (/ 1 (sqrt (sqrt (pow x 4))))))))))
#s(approx (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) #s(hole binary64 (sqrt (pow x 4))))
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#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (sqrt 1/2)))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2)))))))
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#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2)))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 1/2))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/4 (/ x p)))))
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#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 1))
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#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* 1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/1024 (pow x 7))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (pow x 5) (pow p 4))) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/16 (/ (pow x 3) (pow p 2)))))) p)))
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#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))))
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#s(approx (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) #s(hole binary64 (* (pow p 2) (+ 4 (/ (sqrt (pow x 4)) (pow p 2))))))
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#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1/2 (/ x p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1/2 (/ x p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (pow x 3) (pow p 2)))) p))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (pow x 2) (+ (* -1/128 (pow x 5)) (* -1/256 (pow x 5))))) (* 1/1024 (pow x 7))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (pow x 5) (pow p 4))) (+ (* -1/256 (/ (pow x 5) (pow p 4))) (* 1/16 (/ (pow x 3) (pow p 2)))))) p))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -2 p)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) #s(hole binary64 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (* x (sqrt (pow x 4)))) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/32 (/ (* x (sqrt (pow x 4))) (pow p 2))) (* 1/4 x)) p)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) #s(hole binary64 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))) (pow p 4))) (+ (* -1/32 (/ (* x (sqrt (pow x 4))) (pow p 2))) (* 1/4 x))) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (* -1 (/ (+ (* -1/16 (/ (* x (sqrt (pow x 4))) (pow p 2))) (* 1/2 x)) p)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (* x (sqrt (pow x 4))) (pow p 2)))) p)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (* -1 (/ (+ (* -1/16 (/ (* x (sqrt (pow x 4))) (pow p 2))) (* 1/2 x)) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))) (pow p 4))) (* 1/2 x)) (* 1/16 (/ (* x (sqrt (pow x 4))) (pow p 2)))) p))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(hole binary64 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow x 4)) (+ (* -1/128 (* x (pow (sqrt (pow x 4)) 2))) (* -1/256 (* x (pow (sqrt (pow x 4)) 2)))))) (* 1/1024 (* x (pow (sqrt (pow x 4)) 3)))) (pow p 6))) (* 1/2 x)) (+ (* -1/128 (/ (* x (pow (sqrt (pow x 4)) 2)) (pow p 4))) (+ (* -1/256 (/ (* x (pow (sqrt (pow x 4)) 2)) (pow p 4))) (* 1/16 (/ (* x (sqrt (pow x 4))) (pow p 2)))))) p))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (* -1 (* p (+ 2 (* 1/4 (/ (sqrt (pow x 4)) (pow p 2))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow (sqrt (pow x 4)) 2) (pow p 4))) (* 1/4 (/ (sqrt (pow x 4)) (pow p 2)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) #s(hole binary64 (* -1 (* p (+ 2 (+ (* -1/64 (/ (pow (sqrt (pow x 4)) 2) (pow p 4))) (+ (* 1/512 (/ (pow (sqrt (pow x 4)) 3) (pow p 6))) (* 1/4 (/ (sqrt (pow x 4)) (pow p 2))))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* 1/4 (/ x (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* -1/32 (/ x (* (pow (sqrt 1/2) 3) (pow (sqrt (* 4 (pow p 2))) 2)))) (* 1/4 (/ 1 (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 4) (pow (sqrt (* 4 (pow p 2))) 3)))) (* 1/4 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (sqrt 1/2))) (* 1/32 (/ 1 (* (pow (sqrt 1/2) 3) (pow (sqrt (* 4 (pow p 2))) 2)))))) (* 1/4 (/ 1 (* (sqrt 1/2) (sqrt (* 4 (pow p 2)))))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* 1/2 (/ x (sqrt (* 4 (pow p 2))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1/2 (* x (+ (* (pow x 2) (- (* 3/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/4 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (/ x (sqrt (* 4 (pow p 2)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* x (+ (* -1/2 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (/ 1 (sqrt (* 4 (pow p 2)))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (- (* 3/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2)))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ x (sqrt (* 4 (pow p 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* -1/2 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* 3/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 7))) (* 3/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 5))))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (sqrt (* 4 (pow p 2)))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* 1/2 (/ (pow x 2) (sqrt (* 4 (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* (log (* x x)) 1) #s(hole binary64 (* 2 (log x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 2))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ 1 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* x (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 p))))))
#s(approx (* (log (* x x)) 1) #s(hole binary64 (* -2 (log (/ 1 x)))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (sqrt (pow p 2)) x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2)))))) x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2))))))) x))))
#s(approx (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))))))) (* 1/4 (/ (* (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2))))) (pow (sqrt (pow p 2)) 2)))) (* (pow x 6) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2)))))))) x))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))) (pow x 2))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (/ (+ (* -8 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (pow x 6))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (/ (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))))))) (pow x 2))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 -1))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 2))) 1)))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ 1 (* -2 (/ (pow p 2) (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (* -1 (/ (+ (* -8 (pow p 6)) (* -2 (* (pow p 2) (+ (* 2 (pow p 4)) (* 4 (pow p 4)))))) (pow x 6))) (+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* 2 (/ (pow p 4) (pow x 4))) (* 4 (/ (pow p 4) (pow x 4)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) #s(hole binary64 (* -1 (* x (- (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x)))))))
#s(approx (* (log (* x x)) 1) #s(hole binary64 (* -2 (log (/ -1 x)))))

Outputs
(.f64 (pow.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))))
(pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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(.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (.f64 x x))))
(*.f64 #s(literal 2 binary64) (log.f64 x))
(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 (.f64 (.f64 x x) x) x)))
(.f64 #s(literal 1 binary64) (.f64 (log.f64 x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (sqrt.f64 (.f64 x x))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (.f64 x x)) #s(literal 1 binary64))) (log.f64 (pow.f64 (sqrt.f64 (.f64 x x)) #s(literal 1 binary64))))
(+.f64 (log.f64 (pow.f64 x #s(literal 1 binary64))) (log.f64 (pow.f64 x #s(literal 1 binary64))))
(+.f64 (log.f64 (fabs.f64 x)) (log.f64 (fabs.f64 x)))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (.f64 x x))) (log.f64 (sqrt.f64 (.f64 x x))))
(+.f64 (log.f64 x) (log.f64 x))
(log.f64 (*.f64 x x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (.f64 p p)) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 (/.f64 x (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x))) #s(literal -1/2 binary64))) (.f64 p p) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p p) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 x (pow.f64 x #s(literal 7 binary64))) #s(literal 8 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64))) (.f64 x x))) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) x) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) x))))) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 p p) (.f64 (/.f64 x (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x))) #s(literal -1/2 binary64))) (.f64 p p) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (fma.f64 (fma.f64 (.f64 (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64)) (.f64 p p)) #s(literal -1/2 binary64) (/.f64 (neg.f64 x) (.f64 (.f64 x x) x))) (.f64 p p) (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 x (pow.f64 x #s(literal 7 binary64))) #s(literal 8 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64))) (.f64 x x))) (.f64 p p) (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64)))) (.f64 p p) (/.f64 (neg.f64 x) (.f64 (.f64 x x) x))) (.f64 p p) (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (+.f64 (/.f64 x (sqrt.f64 (*.f64 x x))) #s(literal 1 binary64)))
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#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (+.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 x (pow.f64 x #s(literal 7 binary64))) #s(literal 8 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64))) (.f64 x x))) (.f64 p p))) (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64))) (.f64 p p) (.f64 #s(literal -2 binary64) (/.f64 x (.f64 (.f64 x x) x)))) (.f64 p p) (/.f64 x (sqrt.f64 (.f64 x x)))) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (/.f64 x (sqrt.f64 (*.f64 x x))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (fma.f64 (.f64 (.f64 p p) (/.f64 x (.f64 (.f64 x x) x))) #s(literal -2 binary64) (/.f64 x (sqrt.f64 (*.f64 x x)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64)) (.f64 p p))) (.f64 (/.f64 x (.f64 (.f64 x x) x)) #s(literal 2 binary64))) (.f64 p p) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 x (pow.f64 x #s(literal 7 binary64))) #s(literal 8 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64))) (.f64 x x))) (.f64 p p))) (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64))) (.f64 p p) (.f64 #s(literal -2 binary64) (/.f64 x (.f64 (.f64 x x) x)))) (.f64 p p) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (sqrt.f64 (*.f64 x x)))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (fma.f64 (/.f64 (.f64 p p) (sqrt.f64 (.f64 x x))) #s(literal 2 binary64) (sqrt.f64 (*.f64 x x))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (fma.f64 (.f64 p p) (fma.f64 (/.f64 (.f64 p p) (.f64 (.f64 x x) x)) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x x)))) (sqrt.f64 (.f64 x x))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 2 binary64) (.f64 (.f64 x x) x))) (.f64 p p) (/.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x x)))) (.f64 p p) (sqrt.f64 (.f64 x x))))
#s(approx (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) (*.f64 x x))
#s(approx (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
#s(approx (* p p) (*.f64 p p))
#s(approx p p)
#s(approx (+ (* -1/4 (/ x p)) 1/2) (*.f64 (/.f64 x p) #s(literal -1/4 binary64)))
#s(approx (+ (* -1/4 (/ x p)) 1/2) (/.f64 (fma.f64 #s(literal -1/4 binary64) x (*.f64 #s(literal 1/2 binary64) p)) p))
#s(approx (/ x p) (/.f64 x p))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (.f64 p p)) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (.f64 (/.f64 x (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x))) #s(literal -1/2 binary64))) (.f64 p p) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 p p) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (/.f64 x (pow.f64 x #s(literal 7 binary64))) #s(literal 8 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64))) (.f64 x x))) (/.f64 (.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) x) (.f64 (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) x))))) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (/.f64 (fma.f64 (.f64 (/.f64 x (pow.f64 x #s(literal 5 binary64))) #s(literal -6 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (pow.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (.f64 p p) (.f64 (/.f64 x (.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 x x) x))) #s(literal -1/2 binary64))) (.f64 p p) (sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (.f64 (+.f64 (/.f64 x (sqrt.f64 (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (/.f64 x (sqrt.f64 (*.f64 x x))))
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#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (sqrt.f64 (*.f64 x x)))
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#s(approx (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) (*.f64 x x))
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#s(approx (* (* 4 p) p) (.f64 (.f64 p p) #s(literal 4 binary64)))
#s(approx (* 4 p) (*.f64 #s(literal 4 binary64) p))
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#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p))) #s(literal 2 binary64)) p)))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (neg.f64 (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)) (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p))) #s(literal 1/512 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p)))) #s(literal 2 binary64)) p)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (fma.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 p p) #s(literal 4 binary64))))) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (fma.f64 (fma.f64 (/.f64 x (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 p p) #s(literal 4 binary64)))))) x (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (fma.f64 x (fma.f64 x (-.f64 (.f64 (.f64 x (/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/32 binary64) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 p p) #s(literal 4 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (fma.f64 (/.f64 x (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))))) x #s(literal 1/2 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (fma.f64 x (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/16 binary64) (.f64 x x)) (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64))))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))))) #s(literal 1/2 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (+.f64 (/.f64 x (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))))) x #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (fma.f64 x (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64))))) (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))))) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (/.f64 x (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 p p) #s(literal 4 binary64))))) x))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/8 binary64) (.f64 x x)) (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64))))) (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (*.f64 p p) #s(literal 4 binary64))))) x))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 x x) (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 7/2 binary64))) #s(literal -5/16 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 5/2 binary64)))) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64))))) (.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))))) x))
#s(approx x x)
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (fma.f64 (/.f64 (.f64 x x) (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (.f64 (*.f64 p p) #s(literal 4 binary64)))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))))) (.f64 x x) (sqrt.f64 (.f64 (*.f64 p p) #s(literal 4 binary64)))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 p p) #s(literal 4 binary64))))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 p p) #s(literal 4 binary64))))) (.f64 x x) (sqrt.f64 (.f64 (*.f64 p p) #s(literal 4 binary64)))))
#s(approx (* (* x x) (* x x)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (* (log (* x x)) 1) (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 p p) (.f64 p p)))) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 p p)) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (+.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 p p) (.f64 p p)))) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (.f64 (fma.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) #s(literal -1/2 binary64) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 p p) (.f64 p p)))) (.f64 p p)))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (+.f64 (neg.f64 (/.f64 (.f64 p p) (.f64 x x))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (.f64 p p) (*.f64 x x)))) #s(literal 1 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (neg.f64 (/.f64 (.f64 p p) (.f64 x x)))) #s(literal 1 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (+.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal 1 binary64)) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64)) x))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64)) x))
#s(approx (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))) (.f64 (fma.f64 (/.f64 (.f64 p p) (.f64 x x)) #s(literal 4 binary64) #s(literal 1 binary64)) (.f64 x x)))
#s(approx (+ (* -1/4 (/ x p)) 1/2) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) p)) x))
#s(approx (* (log (* x x)) 1) (*.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (sqrt.f64 (.f64 p p)) (.f64 x x))) #s(literal 1/4 binary64) (sqrt.f64 (.f64 p p))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64))) (.f64 p p)))) (.f64 (sqrt.f64 (.f64 p p)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (sqrt.f64 (.f64 p p)) (.f64 x x))) #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 p p))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))))) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (sqrt.f64 (.f64 p p)) (.f64 x x))) #s(literal 1/4 binary64) (sqrt.f64 (.f64 p p))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -8 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)) #s(literal -1/2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64))) (.f64 p p)))) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64))) (.f64 p p)))) (.f64 (sqrt.f64 (.f64 p p)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64))) (.f64 p p)))) (.f64 (sqrt.f64 (.f64 p p)) (.f64 (.f64 (.f64 x x) x) x)))))) x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (/.f64 (.f64 p p) (.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (.f64 p p)) (*.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64) (.f64 p p))) (.f64 x x)))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))))) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -8 binary64) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 p p) (.f64 p p))) #s(literal 2 binary64) (.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)) #s(literal -1/2 binary64))))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64) (.f64 p p)))) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 x x)) (.f64 (.f64 p p) #s(literal 2 binary64))) (.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 x x)) #s(literal -4 binary64) (fma.f64 (.f64 (.f64 p p) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 x x)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 8 binary64) (.f64 (.f64 p p) #s(literal 2 binary64)))))) (.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal -8 binary64) (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 x x)) #s(literal -4 binary64) (fma.f64 (.f64 (.f64 p p) (/.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal 8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 x x)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal 20 binary64)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal -6 binary64)) (.f64 (.f64 p p) (.f64 p p))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 8 binary64) (.f64 (.f64 p p) #s(literal 2 binary64)))))))))) (*.f64 x x)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(literal -1 binary64))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (neg.f64 (.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 6 binary64))) (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64))))
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) #s(literal -8 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 p p) (.f64 p p)) #s(literal 6 binary64)) (.f64 p p)) #s(literal -2 binary64))) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 6 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 p p)) (.f64 x x)))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (neg.f64 x))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (neg.f64 x) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 p p) (.f64 p p)) (.f64 (.f64 (.f64 x x) x) x)) #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 p p) p) (.f64 (.f64 p p) p)) (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))) #s(literal 4 binary64) (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))))
#s(approx (+ (* -1/4 (/ x p)) 1/2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/4 binary64) p) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (* (log (* x x)) 1) (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64)))

eval105.0ms (2%)

Memory: 0.3MiB live, 98.9MiB allocated; 21ms collecting garbage
Compiler: Compiled 6 961 to 2 720 computations (60.9% saved)

prune17.0ms (0.3%)

Memory

38.8MiB live, 38.8MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	384	7	391
Fresh	5	8	13
Picked	2	3	5
Done	0	0	0
Total	391	18	409

Accuracy

89.1%

Counts

409 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.7%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶	67.9%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	39.6%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	46.7%	(sqrt.f64 (.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p))) #s(literal 2 binary64)) p))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	5.6%	(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	4.5%	(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶	33.2%	(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	56.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
▶	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
▶	77.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))))
	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))))))))
	75.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (log.f64 (.f64 x x)))))))))
▶	54.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	54.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
	13.9%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
✓	58.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	77.7%	(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
	15.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))

Compiler

Compiled 666 to 612 computations (8.1% saved)

series165.0ms (3.2%)

Memory

2.6MiB live, 291.5MiB allocated; 74ms collecting garbage

Counts

45 → 432

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))))
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 x p)
#s(literal 1/4 binary64)
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x)))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

Outputs
#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))))) #s(hole binary64 (sqrt (* 1/2 (/ (+ 1 (/ (pow x 3) (pow (sqrt (pow x 2)) 3))) (- (+ 1 (/ (pow x 2) (pow (sqrt (pow x 2)) 2))) (/ x (sqrt (pow x 2)))))))))
#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))))) #s(hole binary64 (+ (sqrt (* 1/2 (/ (+ 1 (/ (pow x 3) (pow (sqrt (pow x 2)) 3))) (- (+ 1 (/ (pow x 2) (pow (sqrt (pow x 2)) 2))) (/ x (sqrt (pow x 2))))))) (* 1/4 (/ (* (pow p 2) (- (* -1 (/ (* (pow x 3) (+ (* 2 (sqrt (pow x 2))) (* 4 (sqrt (pow x 2))))) (* (pow (sqrt (pow x 2)) 6) (- (+ 1 (/ (pow x 2) (pow (sqrt (pow x 2)) 2))) (/ x (sqrt (pow x 2))))))) (/ (* (+ 1 (/ (pow x 3) (pow (sqrt (pow x 2)) 3))) (- (* 2 (/ x (pow (sqrt (pow x 2)) 3))) (* 4 (/ (pow x 2) (pow (sqrt (pow x 2)) 4))))) (pow (- (+ 1 (/ (pow x 2) (pow (sqrt (pow x 2)) 2))) (/ x (sqrt (pow x 2)))) 2)))) (sqrt (* 1/2 (/ (+ 1 (/ (pow x 3) (pow (sqrt (pow x 2)) 3))) (- (+ 1 (/ (pow x 2) (pow (sqrt (pow x 2)) 2))) (/ x (sqrt (pow x 2))))))))))))
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#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) #s(hole binary64 (- (+ 3 (* -1 (/ (+ (* -16 (pow p 4)) (+ (* -8 (pow p 4)) (+ (* -2 (pow p 4)) (* 4 (pow p 4))))) (pow x 4)))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) #s(hole binary64 (- (+ 3 (* -1 (/ (+ (* -8 (pow p 6)) (+ (* -4 (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (* 4 (pow p 4)))))) (+ (* -4 (* (pow p 2) (+ (* -4 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 16 (pow p 6)))))) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (+ (* -8 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 4) (pow x 4)))))))))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -16 (pow p 4)) (+ (* -8 (pow p 4)) (+ (* -2 (pow p 4)) (* 4 (pow p 4))))) (pow x 4)))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -8 (pow p 6)) (+ (* -4 (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (* 4 (pow p 4)))))) (+ (* -4 (* (pow p 2) (+ (* -4 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 16 (pow p 6)))))) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (+ (* -8 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 4) (pow x 4)))))))))))
#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) #s(hole binary64 (* -1 (/ (sqrt (pow p 2)) x))))
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#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))))))) (* 1/4 (/ (* (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2))))) (pow (sqrt (pow p 2)) 2)))) (* (pow x 6) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2)))))))) x))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
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#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (/ (+ (* -8 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (pow x 6))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (/ (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))))))) (pow x 2))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 (pow x 2))) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 (pow x 2)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 (pow x 2))) (+ (* 1/2 (/ (pow p 2) (* (pow x 4) (sqrt (/ -1/2 (pow x 2)))))) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 (pow x 2)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 (pow x 2))) (+ (* -1 (/ (+ (* -1/2 (/ (pow p 2) (* x (sqrt (/ -1/2 (pow x 2)))))) (* 1/32 (/ 1 (* x (pow (sqrt (/ -1/2 (pow x 2))) 3))))) (pow x 3))) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 (pow x 2)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 -1/2))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 0))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (/ (pow p 2) (pow x 2))) x)) (* 1/2 (/ 1 x)))))))
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#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ (pow p 2) (pow x 2)))) x)) (/ 1 x))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -2 (/ (pow p 2) x)) (+ (* 2 (/ (pow p 4) (pow x 3))) (* 4 (/ (pow p 4) (pow x 3))))) x))) x)) (/ 1 x))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* -1 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (/ 1 x))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* -1 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x))))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* -1 (* x (+ (* -32/3 (/ (pow p 6) (pow x 7))) (+ (* -8 (/ (pow p 6) (pow x 7))) (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* -4/3 (/ (pow p 6) (pow x 7))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x)))))))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (+ (* -2 (/ (pow p 2) x)) (* -1 x))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (- (+ (* -1 x) (* -1 (/ (+ (* -4 (* (pow p 4) x)) (+ (* -2 (* (pow p 4) x)) (* 4 (* (pow p 4) x)))) (pow x 4)))) (* 2 (/ (pow p 2) x)))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (- (+ (* -1 x) (* -1 (/ (+ (* -2 (* (pow p 2) (* x (+ (* 2 (pow p 4)) (* 4 (pow p 4)))))) (+ (* 4/3 (* (pow p 6) x)) (+ (* 2 (* (pow p 2) (+ (* -4 (* (pow p 4) x)) (+ (* -2 (* (pow p 4) x)) (* 4 (* (pow p 4) x)))))) (+ (* 8 (* (pow p 6) x)) (* 32/3 (* (pow p 6) x)))))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 3))) (+ (* -2 (/ (pow p 4) (pow x 3))) (+ (* 2 (/ (pow p 2) x)) (* 4 (/ (pow p 4) (pow x 3)))))))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (/ -1 x)))
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#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (- (+ (* -1 (/ (+ (* -32/3 (pow p 6)) (+ (* -8 (pow p 6)) (* -4/3 (pow p 6)))) (pow x 7))) (+ (* -1 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 5))) (* 2 (/ (pow p 2) (pow x 3))))) (/ 1 x))))

Calls

6 calls:

Time	Variable		Point	Expression
55.0ms	x	@	inf	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))) (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 3 (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 2 (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x)))) (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) -1/2)
24.0ms	p	@	0	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))) (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 3 (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 2 (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x)))) (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) -1/2)
19.0ms	x	@	-inf	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))) (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 3 (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 2 (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x)))) (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) -1/2)
16.0ms	p	@	inf	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))) (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 3 (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 2 (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x)))) (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) -1/2)
13.0ms	p	@	-inf	((sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))))) (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))))) 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))) (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 3 (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) 2 (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (/ x p) 1/4) 1/2) (/ x p) 1/4 (sqrt (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) 1) (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x)))) (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))) (sqrt (* (* (* x x) x) x)) (* (* (* x x) x) x) (* (* x x) x) (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) -1/2)

rewrite514.0ms (9.9%)

Memory

-35.8MiB live, 683.0MiB allocated; 237ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2921	43712
0	2984	39835
0	11700	37868

Stop Event

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

Counts

477 → 535

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))))))
#s(literal 1/2 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(/.f64 x p)
#s(literal 1/4 binary64)
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x)))))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x))))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (sqrt (* 1/2 (/ (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))))))) #s(hole binary64 (sqrt (* 1/2 (/ (+ 1 (/ (pow x 3) (pow (sqrt (pow x 2)) 3))) (- (+ 1 (/ (pow x 2) (pow (sqrt (pow x 2)) 2))) (/ x (sqrt (pow x 2)))))))))
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#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) #s(hole binary64 (- (+ 3 (* -1 (/ (+ (* -16 (pow p 4)) (+ (* -8 (pow p 4)) (+ (* -2 (pow p 4)) (* 4 (pow p 4))))) (pow x 4)))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) #s(hole binary64 (- (+ 3 (* -1 (/ (+ (* -8 (pow p 6)) (+ (* -4 (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (* 4 (pow p 4)))))) (+ (* -4 (* (pow p 2) (+ (* -4 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 16 (pow p 6)))))) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (+ (* -8 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 4) (pow x 4)))))))))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -16 (pow p 4)) (+ (* -8 (pow p 4)) (+ (* -2 (pow p 4)) (* 4 (pow p 4))))) (pow x 4)))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -8 (pow p 6)) (+ (* -4 (* (pow p 2) (+ (* -16 (pow p 4)) (+ (* -4 (pow p 4)) (* 4 (pow p 4)))))) (+ (* -4 (* (pow p 2) (+ (* -4 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 16 (pow p 6)))))) (pow x 6)))) (+ (* -16 (/ (pow p 4) (pow x 4))) (+ (* -8 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (+ (* 4 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 4) (pow x 4)))))))))))
#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) #s(hole binary64 (* -1 (/ (sqrt (pow p 2)) x))))
#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2)))))) x))))
#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2))))))) x))))
#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) #s(hole binary64 (* -1 (/ (+ (sqrt (pow p 2)) (+ (* 1/4 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (* (pow x 2) (sqrt (pow p 2))))) (+ (* 1/2 (/ (- (* 1/2 (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))))))) (* 1/4 (/ (* (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2))))) (pow (sqrt (pow p 2)) 2)))) (* (pow x 6) (sqrt (pow p 2))))) (* 1/2 (/ (- (* 1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* 1/16 (/ (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2) (pow (sqrt (pow p 2)) 2)))) (* (pow x 4) (sqrt (pow p 2)))))))) x))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (* 2 (/ (pow p 2) (pow x 2)))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2)))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (/ (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))) (pow x 2))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(hole binary64 (/ (+ (* -8 (/ (pow p 8) (pow x 6))) (+ (* -4 (/ (pow p 4) (pow x 2))) (+ (* -2 (/ (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 4))) (+ (* -2 (/ (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (pow x 6))) (+ (* -2 (/ (pow p 4) (pow x 2))) (+ (* -1/2 (/ (+ (* 4 (pow p 8)) (* 16 (pow p 8))) (pow x 6))) (+ (* 2 (/ (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (pow x 6))) (+ (* 2 (pow p 2)) (* 8 (/ (pow p 6) (pow x 4))))))))))) (pow x 2))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* -1 (* x (sqrt (/ -1/2 (pow x 2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 (pow x 2))) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ -1/2 (pow x 2)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 (pow x 2))) (+ (* 1/2 (/ (pow p 2) (* (pow x 4) (sqrt (/ -1/2 (pow x 2)))))) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 (pow x 2)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* -1 (* x (+ (sqrt (/ -1/2 (pow x 2))) (+ (* -1 (/ (+ (* -1/2 (/ (pow p 2) (* x (sqrt (/ -1/2 (pow x 2)))))) (* 1/32 (/ 1 (* x (pow (sqrt (/ -1/2 (pow x 2))) 3))))) (pow x 3))) (/ 1/4 (* (pow x 2) (sqrt (/ -1/2 (pow x 2)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 -1/2))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 0))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (/ (pow p 2) (pow x 2))) x)) (* 1/2 (/ 1 x)))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow p 2) x)) (* 1/2 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 3)))) x))) x)) (* 1/2 (/ 1 x)))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ (pow p 2) (pow x 2)))) x)) (/ 1 x))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -2 (/ (pow p 2) x)) (+ (* 2 (/ (pow p 4) (pow x 3))) (* 4 (/ (pow p 4) (pow x 3))))) x))) x)) (/ 1 x))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* -1 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (/ 1 x))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* -1 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x))))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* -1 (* x (+ (* -32/3 (/ (pow p 6) (pow x 7))) (+ (* -8 (/ (pow p 6) (pow x 7))) (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* -4/3 (/ (pow p 6) (pow x 7))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x)))))))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (+ (* -2 (/ (pow p 2) x)) (* -1 x))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (- (+ (* -1 x) (* -1 (/ (+ (* -4 (* (pow p 4) x)) (+ (* -2 (* (pow p 4) x)) (* 4 (* (pow p 4) x)))) (pow x 4)))) (* 2 (/ (pow p 2) x)))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (- (+ (* -1 x) (* -1 (/ (+ (* -2 (* (pow p 2) (* x (+ (* 2 (pow p 4)) (* 4 (pow p 4)))))) (+ (* 4/3 (* (pow p 6) x)) (+ (* 2 (* (pow p 2) (+ (* -4 (* (pow p 4) x)) (+ (* -2 (* (pow p 4) x)) (* 4 (* (pow p 4) x)))))) (+ (* 8 (* (pow p 6) x)) (* 32/3 (* (pow p 6) x)))))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 3))) (+ (* -2 (/ (pow p 4) (pow x 3))) (+ (* 2 (/ (pow p 2) x)) (* 4 (/ (pow p 4) (pow x 3)))))))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (/ -1 x)))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 3))) (/ 1 x))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (- (+ (* -1 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 5))) (* 2 (/ (pow p 2) (pow x 3)))) (/ 1 x))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (- (+ (* -1 (/ (+ (* -32/3 (pow p 6)) (+ (* -8 (pow p 6)) (* -4/3 (pow p 6)))) (pow x 7))) (+ (* -1 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 5))) (* 2 (/ (pow p 2) (pow x 3))))) (/ 1 x))))

Outputs
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))))
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(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 x x) x) (pow.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) #s(literal 3 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(pow.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 x x)))))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(+.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 (neg.f64 p) (neg.f64 p))
(*.f64 p p)
(pow.f64 p #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)))
p
#s(literal 4 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 3 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))))) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))) (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
(+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) (.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))))))
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#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x x)) (.f64 #s(literal 4 binary64) (sqrt.f64 (.f64 x x)))) #s(literal 2 binary64))) (pow.f64 (.f64 x x) #s(literal 9/2 binary64))) (.f64 #s(literal 6 binary64) (/.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 x x) #s(literal 7/2 binary64))))))) (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x x)) (.f64 #s(literal 4 binary64) (sqrt.f64 (.f64 x x))))) (pow.f64 (.f64 x x) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) x) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (*.f64 x x))))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (fma.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -6 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x x)) (.f64 #s(literal 4 binary64) (sqrt.f64 (.f64 x x))))) (pow.f64 (.f64 x x) #s(literal 5 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 x x) #s(literal 9/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x x)) (.f64 #s(literal 4 binary64) (sqrt.f64 (.f64 x x)))) #s(literal 2 binary64))) (pow.f64 (.f64 x x) #s(literal 9/2 binary64))) (.f64 #s(literal 6 binary64) (/.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 x x) #s(literal 7/2 binary64))))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x x)) (.f64 #s(literal 4 binary64) (sqrt.f64 (.f64 x x))))) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x))))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) x) (pow.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x x)) (.f64 #s(literal 4 binary64) (sqrt.f64 (.f64 x x)))) #s(literal 2 binary64))) (pow.f64 (.f64 x x) #s(literal 9/2 binary64))) (.f64 #s(literal 6 binary64) (/.f64 (.f64 (.f64 x x) x) (pow.f64 (.f64 x x) #s(literal 7/2 binary64))))))) (/.f64 (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 x x)) (.f64 #s(literal 4 binary64) (sqrt.f64 (.f64 x x))))) (pow.f64 (.f64 x x) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 x x) x) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (/.f64 x (sqrt.f64 (*.f64 x x))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) x) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (fma.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (fabs.f64 (.f64 x x))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 7/2 binary64))))))) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (sqrt.f64 (*.f64 x x)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (+.f64 (sqrt.f64 (.f64 x x)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (sqrt.f64 (.f64 x x))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (+.f64 (sqrt.f64 (.f64 x x)) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x x))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (+.f64 (sqrt.f64 (.f64 x x)) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal 5/2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x x))))))))
#s(approx (+ (* (* p p) 4) (* x x)) (*.f64 x x))
#s(approx (+ (* (* p p) 4) (* x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
#s(approx (* p p) (*.f64 p p))
#s(approx p p)
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x)))) (/.f64 x (sqrt.f64 (*.f64 x x)))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x))))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x))))) (/.f64 x (sqrt.f64 (*.f64 x x)))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 3 binary64))))))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x))))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (fabs.f64 (.f64 x x))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 7/2 binary64))))) (.f64 #s(literal 64 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 4 binary64)))))))) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 3 binary64))))))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x))))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (-.f64 (/.f64 (.f64 x x) (fabs.f64 (.f64 x x))) (/.f64 x (sqrt.f64 (*.f64 x x)))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (-.f64 (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x))))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x)))) (/.f64 x (sqrt.f64 (*.f64 x x)))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (-.f64 (fma.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 3 binary64))))))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x)))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (-.f64 (fma.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 (.f64 p p) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (fabs.f64 (.f64 x x))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 7/2 binary64))))) (.f64 #s(literal 64 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 4 binary64)))))))) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 3 binary64))))))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x)))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 p p) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x)))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal 16 binary64) (/.f64 (.f64 (.f64 p p) (.f64 x x)) (pow.f64 (.f64 x x) #s(literal 3 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 x x) (fabs.f64 (*.f64 x x)))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (fma.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -64 binary64) (/.f64 (.f64 (.f64 p p) (.f64 x x)) (pow.f64 (.f64 x x) #s(literal 4 binary64)))) (.f64 #s(literal -16 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 3 binary64)))))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 (.f64 x x) (fabs.f64 (.f64 x x)))))
#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))))
#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 p p) x) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))))))))
#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))) #s(literal 1 binary64))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))))))))
#s(approx (sqrt (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2)) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))))) (.f64 (.f64 p p) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 7/2 binary64)))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))) #s(literal 1 binary64))))))) (.f64 (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))) #s(literal 1 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))) #s(literal 1 binary64)))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))))))))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 p p) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64)))))))))))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 7/2 binary64)))))) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))))))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))))) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 7/2 binary64))))))) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))))) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 p p) x) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))))) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (*.f64 x x))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))))) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (*.f64 x x))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))))) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x))))) (.f64 (.f64 p p) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (fabs.f64 (.f64 x x))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 7/2 binary64)))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))))))) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x x) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64)))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x))))))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 p p) x) (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (*.f64 x x)))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))) (.f64 (.f64 p p) (fma.f64 #s(literal -1 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64)))))))))))
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))) (.f64 (.f64 p p) (fma.f64 #s(literal -1 binary64) (/.f64 x (.f64 (fabs.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (fabs.f64 (.f64 x x))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 7/2 binary64)))))) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))))))))))
#s(approx (+ (* (/ x p) 1/4) 1/2) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
#s(approx (+ (* (/ x p) 1/4) 1/2) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/2 binary64) p)) p))
#s(approx (/ x p) (/.f64 x p))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))))) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))))) (fma.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 7/2 binary64))))))) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))))) (/.f64 x (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x)))) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
#s(approx (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x)))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))
#s(approx (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x)))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))))
#s(approx (sqrt (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x)))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 5/2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal -3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))))))))
#s(approx (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* p p) 4) (sqrt (* (* (* x x) x) x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 p p))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))) #s(literal 2 binary64)))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))))) (.f64 (.f64 p p) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -10 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))))) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))) #s(literal 1 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))))))))))
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#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/16 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 5/2 binary64)))) (.f64 #s(literal 1/4 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p)))))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 5/2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p))))))))
#s(approx (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p)))) #s(literal 3 binary64))))
#s(approx (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal -3/2 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -3 binary64))))))
#s(approx (+ 1 (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 p p)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 4 binary64))) (.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -7 binary64)))))) (.f64 #s(literal 3/2 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p))) #s(literal -3 binary64))))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (pow.f64 (/.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p)))) #s(literal 3 binary64)))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (.f64 (.f64 (.f64 x x) x) (fma.f64 #s(literal -3/2 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -3 binary64)))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (fma.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 p p)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 4 binary64))) (.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -7 binary64)))))) (.f64 #s(literal 3/2 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p))) #s(literal -3 binary64)))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 3) (.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 5/8 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -9 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 p p)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 p p)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 4 binary64))) (.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -7 binary64))))) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64)))))) (fma.f64 #s(literal -3/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 p p)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 4 binary64))) (.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -7 binary64)))))) (.f64 #s(literal 3/2 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -5 binary64)))) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -3 binary64)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (/.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 5/2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -5/16 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 7/2 binary64))) (.f64 #s(literal 3/8 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -5 binary64))))) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)))))))
#s(approx x x)
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 p p)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x x) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 p p)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 p p)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 5/2 binary64)))) (.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p)))))))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)))))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (/.f64 x (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))))))
#s(approx (+ 1 (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p))))))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p))))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (.f64 x (-.f64 (/.f64 x (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p)))))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)))))))
#s(approx (- (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (* 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (.f64 x (-.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p)))))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (/.f64 (.f64 x x) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))))))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p))))))))
#s(approx (pow (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 2) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal 4 binary64))) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -6 binary64)))) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 p p))) (sqrt.f64 (.f64 #s(literal 4 binary64) (*.f64 p p))))))))
#s(approx (* (* (* x x) x) x) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 x (pow.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) (.f64 p p))) (.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/4 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (.f64 p p)) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) (.f64 (.f64 x x) (fma.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) (.f64 p p)) (.f64 #s(literal 3/256 binary64) (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64))) (pow.f64 p #s(literal 4 binary64))))))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 #s(literal 4 binary64) (*.f64 p p)) #s(literal -1/2 binary64)))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (.f64 p p)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64)) (.f64 p p)) (.f64 #s(literal 3/128 binary64) (/.f64 (.f64 (.f64 x x) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 p p)) #s(literal -1/2 binary64))))))
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#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (.f64 p p)) (.f64 x x)))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 p p))) (.f64 x x)))
#s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 x x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (.f64 p p)))) (.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (*.f64 x x))))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 p p)))) (*.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))) (.f64 x x)))
#s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) (/.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 8 binary64)) (.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 8 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))))) (*.f64 x x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p p) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal -1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p p) (.f64 x x))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p p) x) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 (.f64 x x) x)))) x))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (*.f64 x x)))) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) x) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (.f64 x x) x)) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (*.f64 x x) x))))) x))) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -32/3 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (fma.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) x) (.f64 #s(literal -1 binary64) x)))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (-.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 p p) x))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) (-.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) x) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x))))) (fma.f64 #s(literal 8 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) x) (.f64 #s(literal 32/3 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) x)))))) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) x) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (*.f64 x x) x))))))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -32/3 binary64) (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal -4/3 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) x)))

eval174.0ms (3.4%)

Memory: 22.6MiB live, 241.7MiB allocated; 116ms collecting garbage
Compiler: Compiled 24 680 to 4 609 computations (81.3% saved)

prune46.0ms (0.9%)

Memory

-5.8MiB live, 40.8MiB allocated; 5ms collecting garbage

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	504	7	511
Fresh	2	8	10
Picked	2	3	5
Done	0	3	3
Total	508	21	529

Accuracy

89.1%

Counts

529 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	77.7%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
▶	39.6%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	25.8%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( (* p p) 4) (sqrt (* (* (* x x) x) x))) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	46.7%	(sqrt.f64 (.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p))) #s(literal 2 binary64)) p))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	5.6%	(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
✓	33.2%	(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	56.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
✓	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
	64.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (pow.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
	22.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ 1 (pow (/ x (sqrt (+ ( (* p p) 4) (* x x)))) 3)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
▶	4.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))))))
	77.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))))))))
	75.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (log.f64 (.f64 x x)))))))))
▶	5.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))))))
	13.9%	(sqrt.f64 #s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (/.f64 (.f64 p p) (.f64 x x))))
▶	4.5%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
✓	54.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	54.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
✓	58.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	77.7%	(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
	15.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))

Compiler

Compiled 823 to 744 computations (9.6% saved)

series78.0ms (1.5%)

Memory

37.0MiB live, 129.4MiB allocated; 35ms collecting garbage

Counts

48 → 317

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))))))
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))
#s(literal -2 binary64)
(/.f64 (.f64 p p) (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) x)
(/.f64 #s(literal 1 binary64) x)
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64)))))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64))))))
(sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64))))
(-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (*.f64 p p) #s(literal 4 binary64)))
(.f64 (.f64 p p) #s(literal 4 binary64))
(-.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64)))

Outputs
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* -1/2 (/ (* (pow p 2) x) (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -1/2 (/ x (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))) (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -1/2 (/ x (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))) (* (pow p 2) (+ (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7))))) (* -1/2 (/ (* x (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6)))))) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 3)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (* 1/2 (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) x) (* (pow (sqrt (pow x 2)) 3) (+ 1 (/ x (sqrt (pow x 2))))))) (* 1/2 (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/2 (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))) (* (pow p 2) (+ (* -1 (/ x (* (pow (sqrt (pow x 2)) 3) (+ 1 (/ x (sqrt (pow x 2))))))) (* 1/48 (* (pow p 2) (+ (* -48 (/ (pow x 2) (* (pow (sqrt (pow x 2)) 6) (pow (+ 1 (/ x (sqrt (pow x 2)))) 2)))) (* -24 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (+ 1 (/ x (sqrt (pow x 2))))))))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/2 (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))) (* (pow p 2) (+ (* -1 (/ x (* (pow (sqrt (pow x 2)) 3) (+ 1 (/ x (sqrt (pow x 2))))))) (* (pow p 2) (+ (* 1/1440 (* (pow p 2) (+ (* -1920 (/ (pow x 3) (* (pow (sqrt (pow x 2)) 9) (pow (+ 1 (/ x (sqrt (pow x 2)))) 3)))) (+ (* -1440 (/ (* x (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* (pow (sqrt (pow x 2)) 3) (pow (+ 1 (/ x (sqrt (pow x 2)))) 2)))) (* -720 (/ (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))) (+ 1 (/ x (sqrt (pow x 2)))))))))) (* 1/48 (+ (* -48 (/ (pow x 2) (* (pow (sqrt (pow x 2)) 6) (pow (+ 1 (/ x (sqrt (pow x 2)))) 2)))) (* -24 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (+ 1 (/ x (sqrt (pow x 2)))))))))))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* -2 (/ (* (pow p 2) x) (* (pow (sqrt (pow x 2)) 3) (+ 1 (/ x (sqrt (pow x 2))))))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -2 (/ x (* (pow (sqrt (pow x 2)) 3) (+ 1 (/ x (sqrt (pow x 2))))))) (* 1/24 (* (pow p 2) (+ (* -48 (/ (pow x 2) (* (pow (sqrt (pow x 2)) 6) (pow (+ 1 (/ x (sqrt (pow x 2)))) 2)))) (* -24 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (+ 1 (/ x (sqrt (pow x 2))))))))))))))
#s(approx (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (+ (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -2 (/ x (* (pow (sqrt (pow x 2)) 3) (+ 1 (/ x (sqrt (pow x 2))))))) (* (pow p 2) (+ (* 1/720 (* (pow p 2) (+ (* -1920 (/ (pow x 3) (* (pow (sqrt (pow x 2)) 9) (pow (+ 1 (/ x (sqrt (pow x 2)))) 3)))) (+ (* -1440 (/ (* x (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* (pow (sqrt (pow x 2)) 3) (pow (+ 1 (/ x (sqrt (pow x 2)))) 2)))) (* -720 (/ (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))) (+ 1 (/ x (sqrt (pow x 2)))))))))) (* 1/24 (+ (* -48 (/ (pow x 2) (* (pow (sqrt (pow x 2)) 6) (pow (+ 1 (/ x (sqrt (pow x 2)))) 2)))) (* -24 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (+ 1 (/ x (sqrt (pow x 2)))))))))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (pow x 2)) 3))) (* -1/2 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))) (* (pow p 2) (+ (* -1 (/ x (pow (sqrt (pow x 2)) 3))) (* (pow p 2) (+ (* -1/2 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (/ x (sqrt (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (/ x (sqrt (pow x 2)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2)))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 1 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2)))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (/ x (sqrt (pow x 2)))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* -2 (/ (* (pow p 2) x) (pow (sqrt (pow x 2)) 3))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (+ (* (pow p 2) (- (* (pow p 2) (- (* -1 (* (pow p 2) (+ (* -2 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (pow (sqrt (pow x 2)) 2))) (* 8 (/ x (pow (sqrt (pow x 2)) 7)))))) (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))))) (* 2 (/ x (pow (sqrt (pow x 2)) 3))))) (/ x (sqrt (pow x 2))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (sqrt (pow x 2))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* 2 (/ (pow p 2) (sqrt (pow x 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow (sqrt (pow x 2)) 3))) (* 2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (pow x 2)) (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow (sqrt (pow x 2)) 5))) (* 2 (/ 1 (pow (sqrt (pow x 2)) 3))))) (* 2 (/ 1 (sqrt (pow x 2)))))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (+ (* 4 (pow p 2)) (pow x 2))))
#s(approx (* p p) #s(hole binary64 (pow p 2)))
#s(approx p #s(hole binary64 p))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))) (* -1/2 (/ (* (pow p 2) (pow (pow x 2) -1/2)) (* x (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))) (* (pow p 2) (+ (* -1/2 (/ (pow (pow x 2) -1/2) (* x (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2)))))))) (* 1/2 (/ (* (pow p 2) (- (* 3 (/ (pow (pow x 2) -1/2) (pow x 3))) (* 1/4 (/ (pow (pow (pow x 2) -1/2) 2) (* (pow x 2) (pow (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))) 2)))))) (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))) (* (pow p 2) (+ (* -1/2 (/ (pow (pow x 2) -1/2) (* x (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2)))))))) (* (pow p 2) (+ (* 1/2 (/ (* (pow p 2) (- (* -10 (/ (pow (pow x 2) -1/2) (pow x 5))) (* -1/2 (/ (* (- (* 3 (/ (pow (pow x 2) -1/2) (pow x 3))) (* 1/4 (/ (pow (pow (pow x 2) -1/2) 2) (* (pow x 2) (pow (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))) 2))))) (pow (pow x 2) -1/2)) (* x (pow (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))) 2)))))) (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))))) (* 1/2 (/ (- (* 3 (/ (pow (pow x 2) -1/2) (pow x 3))) (* 1/4 (/ (pow (pow (pow x 2) -1/2) 2) (* (pow x 2) (pow (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))) 2))))) (sqrt (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))))))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) (pow (pow x 2) -1/2)) x)) (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2)))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (+ (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2)))) (* (pow p 2) (+ (* -1 (/ (pow (pow x 2) -1/2) x)) (* 3 (/ (* (pow p 2) (pow (pow x 2) -1/2)) (pow x 3))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (+ (* 1/2 (+ 1 (* x (pow (pow x 2) -1/2)))) (* (pow p 2) (+ (* -1 (/ (pow (pow x 2) -1/2) x)) (* (pow p 2) (+ (* -10 (/ (* (pow p 2) (pow (pow x 2) -1/2)) (pow x 5))) (* 3 (/ (pow (pow x 2) -1/2) (pow x 3))))))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (+ 1 (* x (pow (pow x 2) -1/2)))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (+ 1 (+ (* -2 (/ (* (pow p 2) (pow (pow x 2) -1/2)) x)) (* x (pow (pow x 2) -1/2))))))
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#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* -1/2 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (/ 1 (sqrt (* 4 (pow p 2))))))))
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#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 7))) (* 3/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 5))))) (* 1/2 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (/ 1 (sqrt (* 4 (pow p 2))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (sqrt (* 4 (pow p 2)))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* 1/2 (/ (pow x 2) (sqrt (* 4 (pow p 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 3))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (+ (sqrt (* 4 (pow p 2))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt (* 4 (pow p 2))) 5))) (* 1/8 (/ 1 (pow (sqrt (* 4 (pow p 2))) 3))))) (* 1/2 (/ 1 (sqrt (* 4 (pow p 2))))))))))
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#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (+ 1 (* x (+ (* (pow x 2) (+ (* -1/8 (/ (pow (* 4 (pow p 2)) -1/2) (pow p 2))) (* 3/128 (/ (* (pow x 2) (pow (* 4 (pow p 2)) -1/2)) (pow p 4))))) (pow (* 4 (pow p 2)) -1/2))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* x (pow (* 4 (pow p 2)) -1/2))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* x (+ (* -1/8 (/ (* (pow x 2) (pow (* 4 (pow p 2)) -1/2)) (pow p 2))) (pow (* 4 (pow p 2)) -1/2)))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/8 (/ (pow (* 4 (pow p 2)) -1/2) (pow p 2))) (* 3/128 (/ (* (pow x 2) (pow (* 4 (pow p 2)) -1/2)) (pow p 4))))) (pow (* 4 (pow p 2)) -1/2)))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* x (+ (* (pow x 2) (+ (* -1/8 (/ (pow (* 4 (pow p 2)) -1/2) (pow p 2))) (* (pow x 2) (+ (* -5/1024 (/ (* (pow x 2) (pow (* 4 (pow p 2)) -1/2)) (pow p 6))) (* 3/128 (/ (pow (* 4 (pow p 2)) -1/2) (pow p 4))))))) (pow (* 4 (pow p 2)) -1/2)))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (/ 1 (pow (* 4 (pow p 2)) -1/2))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (+ (* 1/8 (/ (pow x 2) (* (pow p 2) (pow (* 4 (pow p 2)) -1/2)))) (/ 1 (pow (* 4 (pow p 2)) -1/2)))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (+ (* (pow x 2) (+ (* -1/128 (/ (pow x 2) (* (pow p 4) (pow (* 4 (pow p 2)) -1/2)))) (* 1/8 (/ 1 (* (pow p 2) (pow (* 4 (pow p 2)) -1/2)))))) (/ 1 (pow (* 4 (pow p 2)) -1/2)))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (+ (* (pow x 2) (+ (* (pow x 2) (- (* 1/1024 (/ (pow x 2) (* (pow p 6) (pow (* 4 (pow p 2)) -1/2)))) (* 1/128 (/ 1 (* (pow p 4) (pow (* 4 (pow p 2)) -1/2)))))) (* 1/8 (/ 1 (* (pow p 2) (pow (* 4 (pow p 2)) -1/2)))))) (/ 1 (pow (* 4 (pow p 2)) -1/2)))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (pow (* 4 (pow p 2)) -1/2)))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (+ (* -1/8 (/ (* (pow x 2) (pow (* 4 (pow p 2)) -1/2)) (pow p 2))) (pow (* 4 (pow p 2)) -1/2))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (+ (* (pow x 2) (+ (* -1/8 (/ (pow (* 4 (pow p 2)) -1/2) (pow p 2))) (* 3/128 (/ (* (pow x 2) (pow (* 4 (pow p 2)) -1/2)) (pow p 4))))) (pow (* 4 (pow p 2)) -1/2))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (+ (* (pow x 2) (+ (* -1/8 (/ (pow (* 4 (pow p 2)) -1/2) (pow p 2))) (* (pow x 2) (+ (* -5/1024 (/ (* (pow x 2) (pow (* 4 (pow p 2)) -1/2)) (pow p 6))) (* 3/128 (/ (pow (* 4 (pow p 2)) -1/2) (pow p 4))))))) (pow (* 4 (pow p 2)) -1/2))))
#s(approx (/ -1 x) #s(hole binary64 (/ -1 x)))
#s(approx (* -1 (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)))) #s(hole binary64 (/ (+ (* -1 (pow x 2)) (* 2 (pow p 2))) (pow x 2))))
#s(approx (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x))) #s(hole binary64 (/ (+ (* -2 (pow p 2)) (pow x 2)) (pow x 2))))
#s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) #s(hole binary64 (/ (+ (* -2 (pow p 2)) (pow x 2)) (pow x 3))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) #s(hole binary64 (- (pow x 4) (* 16 (pow p 4)))))
#s(approx (- (* x x) (* (* p p) 4)) #s(hole binary64 (- (pow x 2) (* 4 (pow p 2)))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow p 2) (pow x 2))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/2 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/2 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (* -1/2 (/ (pow p 2) (pow x 2)))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (* 1/48 (/ (+ (* -12 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* -12 (pow p 4))) (pow x 2)))) (pow x 2))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow p 2)) (+ (* 1/1440 (/ (+ (* -360 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (+ (* -360 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* -240 (pow p 6)))) (pow x 4))) (* 1/48 (/ (+ (* -12 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* -12 (pow p 4))) (pow x 2))))) (pow x 2))))
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#s(approx (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (* -1 (/ (pow p 2) (pow x 2)))))
#s(approx (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (/ (+ (* -1 (pow p 2)) (* 1/24 (/ (+ (* -12 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* -12 (pow p 4))) (pow x 2)))) (pow x 2))))
#s(approx (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (/ (+ (* -1 (pow p 2)) (+ (* 1/720 (/ (+ (* -360 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (+ (* -360 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* -240 (pow p 6)))) (pow x 4))) (* 1/24 (/ (+ (* -12 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* -12 (pow p 4))) (pow x 2))))) (pow x 2))))
#s(approx (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) #s(hole binary64 (/ (+ (* -1 (pow p 2)) (+ (* 1/40320 (/ (+ (* -20160 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -20160 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (+ (* -20160 (+ (* -8 (pow p 8)) (+ (* -2 (* (pow p 2) (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))))) (+ (* -1/2 (+ (* 4 (pow p 8)) (* 16 (pow p 8)))) (* 2 (* (pow p 4) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))))))) (+ (* -10080 (pow p 8)) (* -5040 (pow (+ (* -4 (pow p 4)) (* -2 (pow p 4))) 2)))))) (pow x 6))) (+ (* 1/720 (/ (+ (* -360 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (+ (* -360 (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6)))) (* -240 (pow p 6)))) (pow x 4))) (* 1/24 (/ (+ (* -12 (+ (* -4 (pow p 4)) (* -2 (pow p 4)))) (* -12 (pow p 4))) (pow x 2)))))) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (* -1 (/ (pow p 2) (pow x 2))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 2))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (+ 2 (* -2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) #s(hole binary64 (- (+ 2 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -2 (* (pow p 2) (+ (* -4 (pow p 4)) (* -2 (pow p 4))))) (* 8 (pow p 6))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 4))) (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))))
#s(approx (sqrt (+ (* (* p p) 4) (* x x))) #s(hole binary64 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))))
#s(approx (+ (* (* p p) 4) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* x (sqrt (/ 1/2 (pow x 2))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* x (+ (sqrt (/ 1/2 (pow x 2))) (* 1/4 (/ 1 (* (pow x 2) (sqrt (/ 1/2 (pow x 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* x (+ (sqrt (/ 1/2 (pow x 2))) (+ (* -1/2 (/ (pow p 2) (* (pow x 4) (sqrt (/ 1/2 (pow x 2)))))) (/ 1/4 (* (pow x 2) (sqrt (/ 1/2 (pow x 2))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) #s(hole binary64 (* x (- (+ (sqrt (/ 1/2 (pow x 2))) (+ (* -1/2 (/ (pow p 2) (* (pow x 4) (sqrt (/ 1/2 (pow x 2)))))) (/ 1/4 (* (pow x 2) (sqrt (/ 1/2 (pow x 2))))))) (* 1/32 (/ 1 (* (pow x 4) (pow (sqrt (/ 1/2 (pow x 2))) 3))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (* x (+ (* -1 (/ (pow p 2) (pow x 3))) (/ 1 x)))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (* x (+ (* -1 (/ (pow p 2) (pow x 3))) (+ (* 1/2 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 5))) (/ 1 x))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (* 2 (/ 1 x))))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (/ 1 x)))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x)))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* x (+ (* -32/3 (/ (pow p 6) (pow x 7))) (+ (* -8 (/ (pow p 6) (pow x 7))) (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* -4/3 (/ (pow p 6) (pow x 7))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x))))))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (+ x (* 2 (/ (pow p 2) x)))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (- (+ x (* -1 (/ (+ (* -4 (* (pow p 4) x)) (+ (* 2 (* (pow p 4) x)) (* 4 (* (pow p 4) x)))) (pow x 4)))) (* -2 (/ (pow p 2) x)))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (- (+ x (* -1 (/ (+ (* -32/3 (* (pow p 6) x)) (+ (* -8 (* (pow p 6) x)) (+ (* -4/3 (* (pow p 6) x)) (+ (* 2 (* (pow p 2) (* x (+ (* 2 (pow p 4)) (* 4 (pow p 4)))))) (* 2 (* (pow p 2) (+ (* -4 (* (pow p 4) x)) (+ (* 2 (* (pow p 4) x)) (* 4 (* (pow p 4) x)))))))))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 3))) (+ (* -2 (/ (pow p 2) x)) (+ (* 2 (/ (pow p 4) (pow x 3))) (* 4 (/ (pow p 4) (pow x 3)))))))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x))))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (+ (* -32/3 (/ (pow p 6) (pow x 7))) (+ (* -8 (/ (pow p 6) (pow x 7))) (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* -4/3 (/ (pow p 6) (pow x 7))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x)))))))))
#s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) x)))
#s(approx (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) #s(hole binary64 (* (pow x 4) (+ 1 (* -16 (/ (pow p 4) (pow x 4)))))))
#s(approx (- (* x x) (* (* p p) 4)) #s(hole binary64 (* (pow x 2) (+ 1 (* -4 (/ (pow p 2) (pow x 2)))))))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (* -1 (/ (sqrt (pow p 2)) x))))
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#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (pow p 2) (pow x 2))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) #s(hole binary64 (/ (+ (* 1/2 (/ (+ (* -4 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2))))
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Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	p	@	-inf	((exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) 0 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ -1 x) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (* -1 (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)))) (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x))) (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) -2 (/ (* p p) (* (* x x) x)) (* (* x x) x) (/ 1 x) (sqrt (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2)) (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2) (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4)))) (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))) (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4) (- (* x x) (* (* p p) 4)))
13.0ms	x	@	-inf	((exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) 0 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ -1 x) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (* -1 (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)))) (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x))) (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) -2 (/ (* p p) (* (* x x) x)) (* (* x x) x) (/ 1 x) (sqrt (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2)) (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2) (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4)))) (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))) (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4) (- (* x x) (* (* p p) 4)))
8.0ms	x	@	inf	((exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) 0 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ -1 x) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (* -1 (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)))) (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x))) (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) -2 (/ (* p p) (* (* x x) x)) (* (* x x) x) (/ 1 x) (sqrt (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2)) (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2) (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4)))) (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))) (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4) (- (* x x) (* (* p p) 4)))
8.0ms	p	@	0	((exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) 0 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ -1 x) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (* -1 (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)))) (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x))) (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) -2 (/ (* p p) (* (* x x) x)) (* (* x x) x) (/ 1 x) (sqrt (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2)) (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2) (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4)))) (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))) (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4) (- (* x x) (* (* p p) 4)))
7.0ms	p	@	inf	((exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) x (sqrt (+ (* (* p p) 4) (* x x))) (+ (* (* p p) 4) (* x x)) (* p p) p 4 (* x x) 1 1/2 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) 0 (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (pow (+ (* (* p p) 4) (* x x)) -1/2) (/ -1 x) -1 (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x)))))) (+ 1 (/ x (sqrt (+ (* (* p p) 4) (* x x))))) (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (* -1 (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)))) (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x))) (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) -2 (/ (* p p) (* (* x x) x)) (* (* x x) x) (/ 1 x) (sqrt (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2)) (* (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) 1/2) (+ (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) 1) (/ x (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))))) (sqrt (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4)))) (/ (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (- (* x x) (* (* p p) 4))) (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4)) (* (* p p) 4) (- (* x x) (* (* p p) 4)))

rewrite309.0ms (5.9%)

Memory

-31.0MiB live, 451.9MiB allocated; 119ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1894	19254
0	1951	18417
0	8512	17768

Stop Event

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

Counts

365 → 426

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))
(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(*.f64 p p)
p
#s(literal 4 binary64)
(*.f64 x x)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64))
#s(literal 0 binary64)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x))))))
(+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))))))
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ x (sqrt (+ (* (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))
#s(literal -2 binary64)
(/.f64 (.f64 p p) (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) x)
(/.f64 #s(literal 1 binary64) x)
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(.f64 (+.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64))))
(-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (*.f64 p p) #s(literal 4 binary64)))
(.f64 (.f64 p p) #s(literal 4 binary64))
(-.f64 (.f64 x x) (.f64 (*.f64 p p) #s(literal 4 binary64)))
#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))
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#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) #s(hole binary64 (+ (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (* (pow p 2) (+ (* -1/2 (/ x (* (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) (pow (sqrt (pow x 2)) 3)))) (* 1/2 (/ (* (pow p 2) (- (* -1/2 (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5))))) (* 1/4 (/ (pow x 2) (* (pow (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))) 2) (pow (sqrt (pow x 2)) 6)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))))))
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#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (* 1/2 (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2)))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* -1 (/ (* (pow p 2) x) (* (pow (sqrt (pow x 2)) 3) (+ 1 (/ x (sqrt (pow x 2))))))) (* 1/2 (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))))))
#s(approx (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2) #s(hole binary64 (+ (* 1/2 (log (* 1/2 (+ 1 (/ x (sqrt (pow x 2))))))) (* (pow p 2) (+ (* -1 (/ x (* (pow (sqrt (pow x 2)) 3) (+ 1 (/ x (sqrt (pow x 2))))))) (* 1/48 (* (pow p 2) (+ (* -48 (/ (pow x 2) (* (pow (sqrt (pow x 2)) 6) (pow (+ 1 (/ x (sqrt (pow x 2)))) 2)))) (* -24 (/ (+ (* -4 (/ x (pow (sqrt (pow x 2)) 5))) (* -2 (/ x (pow (sqrt (pow x 2)) 5)))) (+ 1 (/ x (sqrt (pow x 2))))))))))))))
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#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (/ (pow p 2) (pow x 2))) x)) (* 1/2 (/ 1 x)))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (pow p 2) x)) (* 1/2 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 3)))) x))) x)) (* 1/2 (/ 1 x)))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ (pow p 2) (pow x 2)))) x)) (/ 1 x))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (+ 1 (* -1 (/ (+ (* -2 (/ (pow p 2) x)) (+ (* 2 (/ (pow p 4) (pow x 3))) (* 4 (/ (pow p 4) (pow x 3))))) x))) x)) (/ 1 x))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* -1 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (/ 1 x))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* -1 (* x (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x))))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) #s(hole binary64 (* -1 (* x (+ (* -32/3 (/ (pow p 6) (pow x 7))) (+ (* -8 (/ (pow p 6) (pow x 7))) (+ (* -2 (/ (pow p 2) (pow x 3))) (+ (* -4/3 (/ (pow p 6) (pow x 7))) (+ (* 2 (/ (pow p 4) (pow x 5))) (+ (* 4 (/ (pow p 4) (pow x 5))) (/ 1 x)))))))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (+ (* -2 (/ (pow p 2) x)) (* -1 x))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (- (+ (* -1 x) (* -1 (/ (+ (* -4 (* (pow p 4) x)) (+ (* -2 (* (pow p 4) x)) (* 4 (* (pow p 4) x)))) (pow x 4)))) (* 2 (/ (pow p 2) x)))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) #s(hole binary64 (- (+ (* -1 x) (* -1 (/ (+ (* -2 (* (pow p 2) (* x (+ (* 2 (pow p 4)) (* 4 (pow p 4)))))) (+ (* 4/3 (* (pow p 6) x)) (+ (* 2 (* (pow p 2) (+ (* -4 (* (pow p 4) x)) (+ (* -2 (* (pow p 4) x)) (* 4 (* (pow p 4) x)))))) (+ (* 8 (* (pow p 6) x)) (* 32/3 (* (pow p 6) x)))))) (pow x 6)))) (+ (* -4 (/ (pow p 4) (pow x 3))) (+ (* -2 (/ (pow p 4) (pow x 3))) (+ (* 2 (/ (pow p 2) x)) (* 4 (/ (pow p 4) (pow x 3)))))))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (- (* 2 (/ (pow p 2) (pow x 3))) (/ 1 x))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (- (+ (* -1 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 5))) (* 2 (/ (pow p 2) (pow x 3)))) (/ 1 x))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) #s(hole binary64 (- (+ (* -1 (/ (+ (* -32/3 (pow p 6)) (+ (* -8 (pow p 6)) (* -4/3 (pow p 6)))) (pow x 7))) (+ (* -1 (/ (+ (* 2 (pow p 4)) (* 4 (pow p 4))) (pow x 5))) (* 2 (/ (pow p 2) (pow x 3))))) (/ 1 x))))
#s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) #s(hole binary64 (* -1 (/ (- (* 2 (/ (pow p 2) (pow x 2))) 1) x))))

Outputs
(pow.f64 (exp.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
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(.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (log.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64))) (log.f64 #s(literal 1/2 binary64)))
(log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
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(/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))
x
(pow.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x)))
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(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))
(+.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (*.f64 x x))
(*.f64 (fabs.f64 p) (fabs.f64 p))
(*.f64 (neg.f64 p) (neg.f64 p))
(*.f64 p p)
(pow.f64 p #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64)))
p
#s(literal 4 binary64)
(*.f64 (fabs.f64 x) (fabs.f64 x))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(pow.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64))
#s(literal 0 binary64)
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(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x))))
(pow.f64 #s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
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(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal -1 binary64)
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(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))) #s(approx (/ x (/ 1 (pow (+ ( (* p p) 4) (* x x)) -1/2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))))) (.f64 #s(literal 1 binary64) #s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))))))))
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#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))))
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#s(literal -2 binary64)
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#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 p p) x) (pow.f64 (.f64 x x) #s(literal 3/2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (*.f64 x x)))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))) (.f64 (.f64 p p) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 3/2 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64)))))))))))
#s(approx (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (.f64 x x)))) (.f64 (.f64 p p) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 3/2 binary64))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 7/2 binary64)))))) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))))))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (*.f64 x x)))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) x) (pow.f64 (.f64 x x) #s(literal 3/2 binary64))) (/.f64 x (sqrt.f64 (.f64 x x))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 3/2 binary64))))) (/.f64 x (sqrt.f64 (.f64 x x))))))
#s(approx (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 7/2 binary64))))))) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 3/2 binary64))))) (/.f64 x (sqrt.f64 (.f64 x x))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (/.f64 x (sqrt.f64 (*.f64 x x))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) x) (pow.f64 (.f64 x x) #s(literal 3/2 binary64))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 3/2 binary64))))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (fma.f64 (.f64 p p) (-.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))) (.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 (.f64 x x)))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 7/2 binary64))))))) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 5/2 binary64))))))) (.f64 #s(literal 2 binary64) (/.f64 x (pow.f64 (.f64 x x) #s(literal 3/2 binary64))))) (/.f64 x (sqrt.f64 (.f64 x x)))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (sqrt.f64 (*.f64 x x)))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (+.f64 (sqrt.f64 (.f64 x x)) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (sqrt.f64 (.f64 x x))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (+.f64 (sqrt.f64 (.f64 x x)) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal 3/2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x x))))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (+.f64 (sqrt.f64 (.f64 x x)) (.f64 (.f64 p p) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal 5/2 binary64)))) (.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (.f64 x x)) #s(literal -3 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 x x))))))))
#s(approx (+ (* (* p p) 4) (* x x)) (*.f64 x x))
#s(approx (+ (* (* p p) 4) (* x x)) (fma.f64 #s(literal 4 binary64) (.f64 p p) (.f64 x x)))
#s(approx (* p p) (*.f64 p p))
#s(approx p p)
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))) #s(literal 2 binary64)))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 (.f64 p p) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))))) (.f64 (.f64 p p) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 p p) (-.f64 (.f64 #s(literal -10 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))))) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))) #s(literal 1 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))) #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))))))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) x) (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))) (.f64 (.f64 p p) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (.f64 #s(literal 3 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (*.f64 x x) x)))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))) (.f64 (.f64 p p) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (.f64 (.f64 p p) (fma.f64 #s(literal -10 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)))))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) x) (.f64 x (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (.f64 #s(literal 6 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x x) x))))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (.f64 (.f64 p p) (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (*.f64 x x) x))))))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) x) (.f64 x (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (fma.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (.f64 #s(literal 6 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 (.f64 x x) x)))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (fma.f64 x (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) x) (.f64 (.f64 p p) (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 (*.f64 x x) x)))))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (sqrt.f64 (*.f64 x x)))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x x))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (fma.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (sqrt.f64 (*.f64 x x))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (fma.f64 (.f64 p p) (fma.f64 (.f64 p p) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (.f64 p p) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (sqrt.f64 (.f64 x x))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x)) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (fma.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 #s(literal 6 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (fma.f64 (.f64 p p) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (.f64 x x)) (.f64 (.f64 p p) (fma.f64 #s(literal -20 binary64) (/.f64 (.f64 (.f64 p p) (pow.f64 (.f64 x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 6 binary64) (/.f64 (pow.f64 (.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 4 binary64))))))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))))
#s(approx (* -1 (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)))) #s(literal -1 binary64))
#s(approx (* -1 (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)))) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (*.f64 x x))) #s(literal 1 binary64)))
#s(approx (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x))) #s(literal 1 binary64))
#s(approx (* x (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (*.f64 x x)))))
#s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* p p) (* (* x x) x)) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)))
#s(approx (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (* (* (* x x) x) x) (* (* (* p p) 4) (* (* p p) 4))) (fma.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (* p p) 4) (* (* p p) 4)) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 4 binary64))))
#s(approx (* (* p p) 4) (.f64 #s(literal 4 binary64) (.f64 p p)))
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#s(approx (exp (* (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) 1/2)) (sqrt.f64 #s(literal 1/2 binary64)))
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#s(approx x x)
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#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (*.f64 x x)))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (*.f64 x x))))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x)) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p p) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))))) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 p p) (.f64 x (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal -1/2 binary64))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (.f64 p p) (.f64 x x))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 p p) x) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (.f64 (.f64 x x) x)))) x))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (*.f64 x x)))) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) x) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (.f64 x x) x)) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (*.f64 x x) x))))) x))) x) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -32/3 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (fma.f64 #s(literal -4/3 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) x) (.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (-.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x)))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 p p) x))))
#s(approx (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2)) (-.f64 (fma.f64 #s(literal -1 binary64) x (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 p p) (.f64 x (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (fma.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) x) (fma.f64 #s(literal 2 binary64) (.f64 (.f64 p p) (fma.f64 #s(literal -4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 4 binary64)) x))))) (fma.f64 #s(literal 8 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) x) (.f64 #s(literal 32/3 binary64) (.f64 (pow.f64 p #s(literal 6 binary64)) x)))))) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (.f64 x x) x)) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) x) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 (*.f64 x x) x))))))))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (pow (+ (* (* p p) 4) (* x x)) -1/2) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -32/3 binary64) (pow.f64 p #s(literal 6 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 6 binary64)) (.f64 #s(literal -4/3 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 (.f64 x x) x))))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 p p) (.f64 x x))) #s(literal 1 binary64)) x)))

eval68.0ms (1.3%)

Memory: -3.8MiB live, 139.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 12 020 to 3 368 computations (72% saved)

prune35.0ms (0.7%)

Memory

-0.5MiB live, 46.4MiB allocated; 3ms collecting garbage

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	399	6	405
Fresh	3	7	10
Picked	3	2	5
Done	1	5	6
Total	406	20	426

Accuracy

94.0%

Counts

426 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.8%	(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
✓	77.7%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	39.6%	(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(approx (- ( x x) (* (* p p) 4)) (fma.f64 #s(literal -4 binary64) (.f64 p p) (.f64 x x)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	46.7%	(sqrt.f64 (.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p))) #s(literal 2 binary64)) p))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
	5.6%	(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
✓	33.2%	(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
	56.7%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
	22.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ 1 (pow (/ x (sqrt (+ ( (* p p) 4) (* x x)))) 3)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
	75.1%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (log.f64 (.f64 x x)))))))))
	5.6%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x #s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) (/.f64 #s(literal 1 binary64) x))))))))
	13.9%	(sqrt.f64 #s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (/.f64 (.f64 p p) (.f64 x x))))
✓	4.5%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
✓	54.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	54.2%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
✓	58.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
	56.7%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
	77.6%	(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
✓	77.7%	(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
	23.8%	(exp.f64 (.f64 #s(approx (log ( (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (fma.f64 #s(literal 2 binary64) (log.f64 p) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64)))
	15.9%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))

Compiler

Compiled 1 032 to 711 computations (31.1% saved)

regimes84.0ms (1.6%)

Memory

26.6MiB live, 123.5MiB allocated; 9ms collecting garbage

Counts

39 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 #s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x #s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) (/.f64 #s(literal 1 binary64) x))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( (* p p) 4) (sqrt (* (* (* x x) x) x))) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x)))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))))))
(exp.f64 (.f64 #s(approx (log ( (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (fma.f64 #s(literal 2 binary64) (log.f64 p) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (log.f64 (.f64 x x)))))))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 1/2 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (exp.f64 (.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64)))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 x x) #s(literal -1 binary64)))))))))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) #s(approx (- ( x x) (* (* p p) 4)) (fma.f64 #s(literal -4 binary64) (.f64 p p) (.f64 x x)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 p p) #s(literal 4 binary64)) (.f64 (.f64 p p) #s(literal 4 binary64)))) (-.f64 (.f64 x x) (.f64 (.f64 p p) #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p))) #s(literal 2 binary64)) p))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ ( (* 4 p) p) (* x x))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p))) #s(literal -1/64 binary64) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 p p))) #s(literal 2 binary64)) p))))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x))))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (-.f64 (.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ 1 (pow (/ x (sqrt (+ ( (* p p) 4) (* x x)))) 3)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 p p) (.f64 #s(literal 4 binary64) (.f64 p p))) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (pow.f64 (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 x x))))))))))

Outputs
(exp.f64 (.f64 #s(approx (log ( (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (fma.f64 #s(literal 2 binary64) (log.f64 p) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

Outputs

(exp.f64 (*.f64 #s(approx (log (* (+ (/ x (sqrt (+ (* (* p p) 4) (* x x)))) 1) 1/2)) (fma.f64 #s(literal 2 binary64) (log.f64 p) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) #s(literal 1/2 binary64)))

(sqrt.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

Calls

7 calls:

26.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
11.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
11.0ms	x
10.0ms	p
9.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)

Results

Accuracy	Segments	Branch
77.7%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
97.5%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
97.5%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
97.5%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
97.5%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
77.7%	1	`p`
79.7%	2	`x`

Compiler

Compiled 53 to 56 computations (-5.7% saved)

regimes23.0ms (0.4%)

Memory

10.4MiB live, 55.5MiB allocated; 3ms collecting garbage

Counts

21 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 #s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x #s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) (/.f64 #s(literal 1 binary64) x))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 #s(approx (+ ( (* p p) 4) (sqrt (* (* (* x x) x) x))) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x)))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 p p) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) x))))))))

Outputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))
(sqrt.f64 (.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

Outputs

#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))

(sqrt.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

Calls

4 calls:

6.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
5.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
5.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))

Results

Accuracy	Segments	Branch
88.9%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
88.9%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
88.9%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
88.9%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 47 to 47 computations (0% saved)

regimes20.0ms (0.4%)

Memory

1.1MiB live, 44.5MiB allocated; 5ms collecting garbage

Counts

15 → 3

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 #s(approx (* (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (sqrt (* (* x x) (* x x))))))) 1/2) (/.f64 (.f64 p p) (.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* p p) 4) (* x x)))) (.f64 #s(literal -1 binary64) (.f64 x #s(approx (+ (* -2 (/ (* p p) (* (* x x) x))) (/ 1 x)) (/.f64 #s(literal 1 binary64) x))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) #s(approx (pow (+ ( (* p p) 4) (* x x)) -1/2) (/.f64 #s(literal -1 binary64) x)))))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) (-.f64 (/.f64 (.f64 (.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))))))

Outputs

#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))

Calls

4 calls:

7.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))
4.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
4.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))

Results

Accuracy	Segments	Branch
88.2%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
88.2%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
88.2%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
88.2%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 47 to 47 computations (0% saved)

regimes15.0ms (0.3%)

Memory

-23.9MiB live, 31.2MiB allocated; 6ms collecting garbage

Counts

8 → 3

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))

Outputs

#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 p p)) x)))

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))

Calls

4 calls:

2.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
2.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
2.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
88.0%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
88.0%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
88.0%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
88.0%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 47 to 47 computations (0% saved)

regimes18.0ms (0.4%)

Memory

-2.6MiB live, 43.9MiB allocated; 2ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x))))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
(sqrt.f64 (.f64 (+.f64 #s(approx (/ x (sqrt (+ ( (* 4 p) p) (sqrt (* (* x x) (* x x)))))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)))

Outputs

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))

(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) #s(literal 2 binary64))))

Calls

7 calls:

3.0ms	p
3.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
3.0ms	(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
2.0ms	x
2.0ms	(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))

Results

Accuracy	Segments	Branch
72.4%	2	`p`
72.4%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
60.9%	2	`x`
75.6%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
75.6%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
75.6%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
75.6%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 53 to 56 computations (-5.7% saved)

regimes10.0ms (0.2%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Accuracy

Total -35.5b remaining (-134.1%)

Threshold costs -35.5b (-134.1%)

Counts

2 → 1

Calls

Call 1

Inputs

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))

(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (/ 1 (pow (+ (* (* p p) 4) (* x x)) -1/2))))) #s(literal 0 binary64)))

Outputs
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))

Calls

7 calls:

2.0ms	p
2.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)
1.0ms	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))
1.0ms	x
1.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))

Results

Accuracy	Segments	Branch
58.7%	1	`x`
58.7%	1	`p`
58.7%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
58.7%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
58.7%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
58.7%	1	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
58.7%	1	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`

Compiler

Compiled 53 to 56 computations (-5.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.0004350646407430422

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.0004350646407430422

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.710045010668876	1.0
0.0ms	0.05555517266081374	0.7071067811783214

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.710045010668876	1.0
0.0ms	0.05555517266081374	0.7071067811783214

Compiler

Compiled 17 to 19 computations (-11.8% saved)

bsearch4.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	0.710045010668876	1.0

Samples

1.0ms

64×

valid

Compiler

Compiled 145 to 155 computations (-6.9% saved)

Precisions

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

adjust: 0.0ms (0% of total)

derivations193.0ms (3.7%)

Memory

-39.5MiB live, 198.7MiB allocated; 36ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 113 to 80 computations (29.2% saved)

preprocess66.0ms (1.3%)

Memory: 9.8MiB live, 153.0MiB allocated; 11ms collecting garbage
Remove: (abs p)
Compiler: Compiled 670 to 556 computations (17% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze402.0ms (7.7%)

sample2.0s (38.4%)

preprocess89.0ms (1.7%)

series40.0ms (0.8%)

rewrite213.0ms (4.1%)

eval40.0ms (0.8%)

prune30.0ms (0.6%)

series103.0ms (2%)

rewrite333.0ms (6.4%)

eval105.0ms (2%)

prune17.0ms (0.3%)

series165.0ms (3.2%)

rewrite514.0ms (9.9%)

eval174.0ms (3.4%)

prune46.0ms (0.9%)

series78.0ms (1.5%)

rewrite309.0ms (5.9%)

eval68.0ms (1.3%)

prune35.0ms (0.7%)

regimes84.0ms (1.6%)

regimes23.0ms (0.4%)

regimes20.0ms (0.4%)

regimes15.0ms (0.3%)

regimes18.0ms (0.4%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch4.0ms (0.1%)

derivations193.0ms (3.7%)

preprocess66.0ms (1.3%)

end0.0ms (0%)

Profiling