Metrics for Given's Rotation SVD example

start0.0ms (0.0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze1.1s (20.2%)

Memory

-81.0MiB live, 608.2MiB allocated; 1.2s collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	48.6%	51.4%	0.0%	0.0%	0.0%	0
0.0%	0.0%	48.6%	51.4%	0.0%	0.0%	0.0%	1
0.0%	0.0%	48.6%	51.4%	0.0%	0.0%	0.0%	2
0.0%	0.0%	48.6%	51.4%	0.0%	0.0%	0.0%	3
0.0%	0.0%	48.6%	51.4%	0.0%	0.0%	0.0%	4
31.3%	15.2%	33.4%	51.4%	0.0%	0.0%	0.0%	5
34.4%	16.7%	31.9%	51.4%	0.0%	0.0%	0.0%	6
51.6%	25.1%	23.6%	51.4%	0.0%	0.0%	0.0%	7
53.1%	25.8%	22.8%	51.4%	0.0%	0.0%	0.0%	8
62.5%	30.4%	18.2%	51.4%	0.0%	0.0%	0.0%	9
63.7%	31.0%	17.7%	51.4%	0.0%	0.0%	0.0%	10
68.6%	33.3%	15.3%	51.4%	0.0%	0.0%	0.0%	11
69.2%	33.7%	15.0%	51.4%	0.0%	0.0%	0.0%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample1.3s (24.7%)

Memory

30.6MiB live, 2 365.9MiB allocated; 431ms collecting garbage

Samples

453.0ms	6 199×	0	valid
215.0ms	997×	2	valid
205.0ms	442×	3	valid
80.0ms	618×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 714.0ms

ival-sqrt: 250.0ms (35.0% of total)

ival-mult!: 215.0ms (30.1% of total)

adjust: 103.0ms (14.4% of total)

ival-div!: 83.0ms (11.6% of total)

ival-add!: 58.0ms (8.1% of total)

ival-fabs: 3.0ms (0.4% of total)

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

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

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

Bogosity

preprocess48.0ms (0.9%)

Memory

-9.7MiB live, 42.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	106
1	174	104
2	542	104
3	2331	104

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.9%	(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) (.f64 x x)))))))

Symmetry

(abs p)

Compiler

Compiled 34 to 28 computations (17.6% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
1
4

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

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series63.0ms (1.2%)

Memory

50.7MiB live, 139.2MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	688	5341

Stop Event

1×	iter-limit

Counts

14 → 118

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
10.0ms	x	-inf
4.0ms	p	0
4.0ms	x	0
4.0ms	p	inf
3.0ms	x	inf

rewrite370.0ms (7.0%)

Memory

-37.7MiB live, 781.4MiB allocated; 105ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	94
0	23	94
1	98	94
2	383	94
3	1476	94
0	4566	86

Stop Event

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

Counts

14 → 2 261

Calls

Call 1

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

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

eval312.0ms (5.9%)

Memory: -18.9MiB live, 721.1MiB allocated; 143ms collecting garbage
Compiler: Compiled 87 509 to 8 997 computations (89.7% saved)

prune54.0ms (1.0%)

Memory

-12.6MiB live, 228.5MiB allocated; 12ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	2 351	15	2 366
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	2 352	15	2 367

Accuracy

91.5%

Counts

2 367 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(sqrt.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) #s(literal 1/2 binary64)))
▶	79.9%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	77.8%	(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
	50.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (neg.f64 x))) (.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))))
	50.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
▶	53.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) (.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x)) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
	79.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1 binary64))))))))
	5.2%	(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)))))
	37.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ ( (* 4 p) p) (* x x))))) #s(literal 2 binary64))))
	11.6%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.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)))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 2 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))))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))
	13.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.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)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
	52.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
▶	51.3%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
▶	56.7%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)))
▶	16.6%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)))

Compiler

Compiled 650 to 370 computations (43.1% saved)

sample0.0ms (0.0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Calls

Call 1

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

Outputs
#s(literal 4 binary64)
#s(literal 1/2 binary64)
#s(literal 1/2 binary64)
#s(literal 6369051672525773/9007199254740992 binary64)
#s(literal -1/4 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 8 computations (20.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series160.0ms (3.0%)

Memory

52.1MiB live, 373.5MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1347	13604

Stop Event

1×	iter-limit

Counts

31 → 221

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
11.0ms	x	-inf
10.0ms	p	0
9.0ms	x	inf
7.0ms	p	inf
5.0ms	x	0

rewrite291.0ms (5.5%)

Memory

-24.3MiB live, 490.6MiB allocated; 124ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	341
0	64	295
1	288	279
2	1003	270
0	4139	266

Stop Event

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

Counts

31 → 1 037

Calls

Call 1

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

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

eval196.0ms (3.7%)

Memory: 32.0MiB live, 363.8MiB allocated; 113ms collecting garbage
Compiler: Compiled 45 004 to 6 164 computations (86.3% saved)

prune34.0ms (0.6%)

Memory

-16.5MiB live, 75.6MiB allocated; 7ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	1 235	12	1 247
Fresh	9	1	10
Picked	5	0	5
Done	-2	2	0
Total	1 247	15	1 262

Accuracy

100.0%

Counts

1 262 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.9%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
▶	50.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
✓	53.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) (.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x)) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
	47.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (.f64 x x))) (.f64 x x)) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
▶	14.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
	18.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
	11.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
▶	37.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))))
	52.1%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
▶	51.3%	(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))))
	13.1%	(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.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)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
	25.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
	25.1%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 p)))
	15.8%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64))) x)))
▶	56.7%	#s(literal 6369051672525773/9007199254740992 binary64)

Compiler

Compiled 523 to 358 computations (31.5% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
6369051672525773/9007199254740992
1/2
2
2
(* 1/2 2)
(sqrt (* 1/2 2))
-1/4
4
-2

Outputs
#s(literal 6369051672525773/9007199254740992 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal -1/4 binary64)
#s(literal 4 binary64)
#s(literal -2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 16 to 10 computations (37.5% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series84.0ms (1.6%)

Memory

17.9MiB live, 163.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1216	12327

Stop Event

1×	iter-limit

Counts

39 → 205

Calls

Call 1

Inputs
#s(literal 6369051672525773/9007199254740992 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))))
x
p
(/.f64 x p)
#s(literal -1/4 binary64)
(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)))
(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))))
(*.f64 p p)
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) p)
(*.f64 x x)
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))
(fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)))
(*.f64 p #s(literal 4 binary64))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
#s(literal -2 binary64)
(pow.f64 p #s(literal 2 binary64))
(pow.f64 p #s(literal 4 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))

Outputs
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (/.f64 (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x))))
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x))))
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (fma.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (.f64 #s(literal -4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 4 binary64) (/.f64 (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 2 binary64))))))))) (*.f64 #s(literal 4 binary64) (/.f64 (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) x))))
#s(approx (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
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#s(approx p p)
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (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 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (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 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.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 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))))
#s(approx (* p p) (pow.f64 p #s(literal 2 binary64)))
#s(approx (* 4 p) (*.f64 #s(literal 4 binary64) p))
#s(approx (+ (* (* 4 p) p) (* x x)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (+ (* (* 4 p) p) (* x x)) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (*.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) x) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))))))
#s(approx (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x)) (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x)) (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x)) (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))
#s(approx (+ (* x x) (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x))) (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* x x) (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x))) (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* x x) (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x))) (fma.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 2 binary64)))))
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#s(approx (pow p 4) (pow.f64 p #s(literal 4 binary64)))
#s(approx (/ (pow p 4) (pow x 2)) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 4 (pow p 2)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
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#s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))
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#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 1 binary64))
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#s(approx (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x)))) #s(literal 1/2 binary64))
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#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (sqrt.f64 #s(literal 1/2 binary64)))
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#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (/.f64 x (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 (pow.f64 p #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
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#s(approx (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64)))))))))))
#s(approx (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64))))))))))))
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#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/512 binary64) (/.f64 (.f64 x (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal -1/4096 binary64) (/.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))))))))
#s(approx x x)
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#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
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#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
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#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (+.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (.f64 x (+.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (.f64 x (+.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
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#s(approx (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x)) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x)) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 x (+.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
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#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))
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#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 2 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))))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.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)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64)))))))) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 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 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 8 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 2 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))))) (.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)))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.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 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 2 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))))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.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)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 2 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))))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.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)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (pow.f64 p #s(literal 2 binary64))))))))) x)))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.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 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (.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 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64))))
#s(approx (* (sqrt (+ (* (* 4 p) p) (* x x))) x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (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 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))) #s(literal 1 binary64))))
#s(approx (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
#s(approx (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 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 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))))
#s(approx (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (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 2 binary64)) (pow.f64 x #s(literal 2 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 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))))
#s(approx (+ (* x x) (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ (* x x) (+ (* (* p p) 4) (* (sqrt (+ (* (* 4 p) p) (* x x))) x))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (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 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))

Calls

6 calls:

Time	Variable	Point
6.0ms	x	inf
4.0ms	p	inf
4.0ms	p	0
3.0ms	x	-inf
3.0ms	p	-inf

rewrite232.0ms (4.4%)

Memory

5.7MiB live, 386.4MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	578
0	93	571
1	431	535
2	1564	481
0	4389	472

Stop Event

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

Counts

39 → 1 061

Calls

Call 1

Inputs
#s(literal 6369051672525773/9007199254740992 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))))
x
p
(/.f64 x p)
#s(literal -1/4 binary64)
(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)))
(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))))
(*.f64 p p)
#s(literal 4 binary64)
(*.f64 #s(literal 4 binary64) p)
(*.f64 x x)
(fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))
(sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x)))
(.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)
(fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))
(fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)))
(*.f64 p #s(literal 4 binary64))
(fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))
(/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
#s(literal -2 binary64)
(pow.f64 p #s(literal 2 binary64))
(pow.f64 p #s(literal 4 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))
#s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))
(/.f64 #s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))
(.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))

Outputs
#s(literal 6369051672525773/9007199254740992 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))
(.f64 (.f64 #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (neg.f64 (sqrt.f64 (.f64 #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (sqrt.f64 (.f64 #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (.f64 #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (.f64 #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(fabs.f64 (.f64 (sqrt.f64 (.f64 #s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (.f64 #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))
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(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 (.f64 #s(literal -2 binary64) p) p (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (.f64 x x)) #s(literal 2 binary64) (.f64 (.f64 p p) #s(literal 4 binary64))))) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))

eval144.0ms (2.7%)

Memory: 3.1MiB live, 372.6MiB allocated; 37ms collecting garbage
Compiler: Compiled 48 357 to 6 655 computations (86.2% saved)

prune26.0ms (0.5%)

Memory

11.5MiB live, 57.2MiB allocated; 4ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 155	3	1 158
Fresh	2	6	8
Picked	5	0	5
Done	-3	5	2
Total	1 159	14	1 173

Accuracy

100.0%

Counts

1 173 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.9%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
✓	50.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
✓	53.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) (.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x)) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
	47.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (.f64 x x))) (.f64 x x)) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
▶	14.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (.f64 p p) #s(literal -2 binary64))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
	11.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
▶	18.5%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
▶	52.1%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
✓	51.3%	(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))))
▶	37.5%	(sqrt.f64 #s(literal 1 binary64))
	25.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
▶	25.1%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 p)))
	15.8%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64))) x)))
✓	56.7%	#s(literal 6369051672525773/9007199254740992 binary64)

Compiler

Compiled 419 to 286 computations (31.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

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

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

Samples

0.0ms

1×

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series81.0ms (1.5%)

Memory

2.2MiB live, 147.9MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1085	10767

Stop Event

1×	iter-limit

Counts

39 → 151

Calls

Call 1

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

Outputs
#s(approx p p)
#s(approx (/ x p) (/.f64 x p))
#s(approx (* 1/4 (/ x p)) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
#s(approx (+ 1/2 (* 1/4 (/ x p))) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal 1/2 binary64) p)) p))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) x) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 p #s(literal 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 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) x) (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.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 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 #s(literal 8 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 7 binary64)))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))))
#s(approx (fabs p) (fabs.f64 p))
#s(approx (* (/ -1 x) (fabs p)) (*.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 p) x)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) x) (.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (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 (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64))) (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))))))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))))))
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#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) p) (.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p))))
#s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (/.f64 x p)))))
#s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p) (*.f64 #s(literal 2 binary64) x)) p)))))
#s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 #s(literal 4 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (pow.f64 x #s(literal 2 binary64))) p) (*.f64 #s(literal 2 binary64) x)) p)))))
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p))))
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))) p))))
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/256 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 p #s(literal 4 binary64)))))) p))))
#s(approx (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 p #s(literal 2 binary64))))) p))))
#s(approx (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/256 binary64) (pow.f64 x #s(literal 5 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 p #s(literal 2 binary64)))))) p))))
#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) p) (.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p))))
#s(approx x x)
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 5 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 x (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 x (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))
#s(approx (/ -1 x) (/.f64 #s(literal -1 binary64) x))
#s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))
#s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 x (+.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))
#s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 x (+.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))))
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64))))))))))
#s(approx (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 2 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64))))))))))
#s(approx (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 x (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 p #s(literal 2 binary64))))))
#s(approx (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64)))))))))))
#s(approx (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x)))) (+.f64 #s(literal 1/2 binary64) (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64))))) (pow.f64 p #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64))))))))))))
#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 x (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal -1/512 binary64) (/.f64 (.f64 x (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 x (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 p #s(literal 4 binary64)))))) (.f64 #s(literal -1/4096 binary64) (/.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))))))))
#s(approx (/ 2 (* x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1/2 (* 1/4 (/ x p))) (.f64 x (fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) x)))
#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))) x)))
#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))) x)))
#s(approx (sqrt (* 1/2 (/ (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 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 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal -4 binary64) (pow.f64 p #s(literal 6 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))))))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 4 binary64))) (.f64 #s(literal 4 binary64) (.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))) (pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))))))))) x)))

Calls

6 calls:

Time	Variable	Point
9.0ms	p	0
7.0ms	p	inf
4.0ms	p	-inf
4.0ms	x	inf
3.0ms	x	-inf

rewrite251.0ms (4.7%)

Memory

-31.3MiB live, 318.5MiB allocated; 142ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	617
0	96	586
1	480	541
2	1767	541
0	4069	527

Stop Event

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

Counts

39 → 878

Calls

Call 1

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

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

eval111.0ms (2.1%)

Memory: 39.9MiB live, 222.0MiB allocated; 26ms collecting garbage
Compiler: Compiled 35 214 to 5 537 computations (84.3% saved)

prune33.0ms (0.6%)

Memory

-25.1MiB live, 65.1MiB allocated; 11ms collecting garbage

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	965	10	975
Fresh	3	1	4
Picked	5	0	5
Done	-2	7	5
Total	971	18	989

Accuracy

100.0%

Counts

989 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.5%	(.f64 (sqrt.f64 (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 p (+.f64 p p)))) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (sqrt.f64 #s(literal 1/2 binary64)))
	20.7%	(.f64 (sqrt.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 p (+.f64 p p))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) #s(literal 1/2 binary64))))
✓	79.9%	(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
	14.3%	(sqrt.f64 (/.f64 (.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p)) (.f64 p (+.f64 p p)))) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
	18.5%	(sqrt.f64 (/.f64 (.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 p (+.f64 p p)))) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
✓	50.8%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
✓	53.0%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) (.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x)) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
	47.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (.f64 x x))) (.f64 x x)) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
	11.3%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
	17.9%	(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 p) #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
	52.1%	(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64))))
✓	51.3%	(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))))
✓	37.5%	(sqrt.f64 #s(literal 1 binary64))
	17.9%	(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 p (+.f64 p p)))) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
	25.2%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
✓	25.1%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 p)))
	23.0%	#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (exp.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64))) (fabs.f64 p)))
✓	56.7%	#s(literal 6369051672525773/9007199254740992 binary64)

Compiler

Compiled 334 to 230 computations (31.1% saved)

regimes170.0ms (3.2%)

Memory

-5.4MiB live, 333.9MiB allocated; 52ms collecting garbage

Counts

1 → 1

5 → 2

10 → 3

14 → 3

15 → 2

41 → 2

Calls

Call 1

Inputs
#s(literal 6369051672525773/9007199254740992 binary64)

Outputs
#s(literal 6369051672525773/9007199254740992 binary64)

Call 2

Inputs
#s(literal 6369051672525773/9007199254740992 binary64)
(sqrt.f64 #s(literal 1 binary64))
(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))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))))

Outputs
#s(literal 6369051672525773/9007199254740992 binary64)
(sqrt.f64 #s(literal 1 binary64))

Call 3

Inputs
#s(literal 6369051672525773/9007199254740992 binary64)
(sqrt.f64 #s(literal 1 binary64))
(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))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 p)))
(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))))

Outputs
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
#s(literal 6369051672525773/9007199254740992 binary64)
(sqrt.f64 #s(literal 1 binary64))

Call 4

Inputs
#s(literal 6369051672525773/9007199254740992 binary64)
(sqrt.f64 #s(literal 1 binary64))
(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))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 p)))
(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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))

Outputs

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

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

(sqrt.f64 #s(literal 1 binary64))

Call 5

Inputs
#s(literal 6369051672525773/9007199254740992 binary64)
(sqrt.f64 #s(literal 1 binary64))
(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))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 p)))
(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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))

Outputs

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

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

Call 6

Inputs
#s(literal 6369051672525773/9007199254740992 binary64)
(sqrt.f64 #s(literal 1 binary64))
(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))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) #s(approx (/ (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (+ (* (* p 4) p) (* x x))) #s(literal 2 binary64))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 (fabs.f64 p)) x))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ ( (* 4 p) p) (* x x)))) #s(literal -1 binary64)))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (fabs.f64 p)))
(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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) x #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 (exp.f64 (.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64))) (fabs.f64 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) (.f64 x x)))))))
(sqrt.f64 (/.f64 (.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 p (+.f64 p p)))) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (pow.f64 p #s(literal 2 binary64))) x)))
(.f64 (sqrt.f64 (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 p (+.f64 p p)))) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (*.f64 p p)) #s(literal 1/2 binary64))) x)))
(.f64 (sqrt.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 p (+.f64 p p))))) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 p) #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(approx (+ (+ (* (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) #s(approx (+ (* -2 (pow p 2)) (+ (* 2 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2)))) (.f64 p (+.f64 p p)))) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1 binary64))))))))
(sqrt.f64 (/.f64 (.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (.f64 (.f64 p p) (.f64 p p)) (.f64 p (+.f64 p p)))) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 4 binary64) p) p (*.f64 x x))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)) (.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) x)) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) p) p (.f64 x x))) x)) (.f64 x x))) (.f64 x x)) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(sqrt.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (.f64 x x)) (fma.f64 (.f64 p p) #s(literal 4 binary64) (.f64 (.f64 p p) #s(literal -2 binary64))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x)))) (.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (neg.f64 x))) (.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (.f64 x x))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64)))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.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)))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (+ ( (* p 4) p) (* x x)) (* (sqrt (+ (* (* p 4) p) (* x x))) x)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))))))) (fma.f64 (.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.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)))) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (pow.f64 p #s(literal 2 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))))) (.f64 #s(literal 8 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))))

Outputs

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

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

Calls

33 calls:

19.0ms	(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)))))))
15.0ms	x
13.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
11.0ms	p
9.0ms	(.f64 (.f64 #s(literal 4 binary64) p) p)

Results

Accuracy	Segments	Branch
56.7%	1	`x`
56.7%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
56.7%	1	`p`
56.7%	1	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
56.7%	1	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
56.7%	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))))))`
56.7%	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)))))))`
72.8%	2	`p`
72.8%	2	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
63.6%	2	`x`
77.7%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
77.7%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
77.7%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
77.7%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.5%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.5%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.5%	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))))))`
99.5%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.7%	3	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.7%	3	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.7%	3	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.7%	3	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
79.9%	1	`(.f64 (.f64 #s(literal 4 binary64) p) p)`
99.8%	2	`(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))`
99.8%	2	`(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))`
99.8%	2	`(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x))))))`
99.8%	2	`(sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 #s(literal 4 binary64) p) p) (.f64 x x)))))))`
79.9%	1	`p`
83.8%	2	`x`

Compiler

Compiled 1 183 to 526 computations (55.5% saved)

bsearch1.0ms (0.0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9585250955961518e-7	0.0016282560388581307

Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch0.0ms (0.0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9585250955961518e-7	0.0016282560388581307

Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch1.0ms (0.0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071068063223831	1.0
0.0ms	0.0016282560388581307	0.707106781186546

Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch1.0ms (0.0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.7071068063223831	1.0
0.0ms	0.0016282560388581307	0.707106781186546

Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch9.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.7071068063223831	1.0

Samples

3.0ms	53×	0	valid
1.0ms	5×	2	valid
1.0ms	3×	3	valid
0.0ms	3×	1	valid

Compiler

Compiled 48 to 67 computations (-39.6% saved)

Precisions

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

ival-mult!: 1.0ms (26.6% of total)

ival-div!: 1.0ms (26.6% of total)

ival-sqrt: 1.0ms (26.6% of total)

adjust: 0.0ms (0.0% of total)

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

derivations162.0ms (3.1%)

Memory

-10.5MiB live, 171.6MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 211 to 49 computations (76.8% saved)

preprocess91.0ms (1.7%)

Memory: 26.7MiB live, 158.6MiB allocated; 53ms collecting garbage
Compiler: Compiled 670 to 353 computations (47.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze1.1s (20.2%)

sample1.3s (24.7%)

preprocess48.0ms (0.9%)

sample0.0ms (0.0%)

series63.0ms (1.2%)

rewrite370.0ms (7.0%)

eval312.0ms (5.9%)

prune54.0ms (1.0%)

sample0.0ms (0.0%)

series160.0ms (3.0%)

rewrite291.0ms (5.5%)

eval196.0ms (3.7%)

prune34.0ms (0.6%)

sample0.0ms (0.0%)

series84.0ms (1.6%)

rewrite232.0ms (4.4%)

eval144.0ms (2.7%)

prune26.0ms (0.5%)

sample0.0ms (0.0%)

series81.0ms (1.5%)

rewrite251.0ms (4.7%)

eval111.0ms (2.1%)

prune33.0ms (0.6%)

regimes170.0ms (3.2%)

bsearch1.0ms (0.0%)

bsearch0.0ms (0.0%)

bsearch1.0ms (0.0%)

bsearch1.0ms (0.0%)

bsearch9.0ms (0.2%)

derivations162.0ms (3.1%)

preprocess91.0ms (1.7%)

end0.0ms (0.0%)

Profiling