Metrics for Octave 3.8, oct_fill

start0.0ms (0%)

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

analyze12.0ms (0.4%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	50%	0.1%	0%	50%	0%	2
0%	0%	50%	0.1%	0%	50%	0%	3
50%	25%	25%	0.1%	0%	50%	0%	4
50%	25%	25%	0.1%	0%	50%	0%	5
66.7%	25%	12.5%	0.1%	0%	62.4%	0%	6
66.7%	25%	12.5%	0.1%	0%	62.4%	0%	7
80%	25%	6.2%	0.1%	0%	68.7%	0%	8
80%	25%	6.2%	0.1%	0%	68.7%	0%	9
88.9%	25%	3.1%	0.1%	0%	71.8%	0%	10
88.9%	25%	3.1%	0.1%	0%	71.8%	0%	11
94.1%	25%	1.6%	0.1%	0%	73.4%	0%	12

Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.1s (41%)

Memory

11.8MiB live, 1 686.1MiB allocated; 413ms collecting garbage

Samples

771.0ms	8 256×	0	valid
28.0ms	516×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

ival-mult!: 217.0ms (42.2% of total)

ival-sqrt: 132.0ms (25.7% of total)

ival-sub!: 77.0ms (15% of total)

ival-div!: 48.0ms (9.3% of total)

ival-add!: 39.0ms (7.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess80.0ms (2.9%)

Memory

-50.7MiB live, 52.2MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	104
1	121	90
2	353	88
3	1246	88

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Status

Accuracy

Program

▶

99.8%

(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Compiler

Compiled 38 to 26 computations (31.6% saved)

series17.0ms (0.6%)

Memory

34.9MiB live, 34.9MiB allocated; 0ms collecting garbage

Counts

13 → 80

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
#s(literal 9 binary64)
rand

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 -3))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* 9 a)))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 rand)
3.0ms	a	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 rand)
3.0ms	a	@	0	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 rand)
2.0ms	rand	@	0	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 rand)
1.0ms	rand	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 rand)

rewrite101.0ms (3.7%)

Memory

0.4MiB live, 141.9MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	451	3028
0	465	2539
0	2712	2386

Stop Event

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

Counts

93 → 113

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
#s(literal 9 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 -3))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* 9 a)))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))

Outputs
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)))
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (.f64 (-.f64 a #s(literal 1/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)))
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) (-.f64 a #s(literal 1/3 binary64))))
(+.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 a #s(literal 1/3 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) rand))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)
(.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))
#s(literal 9 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 81/4 binary64) a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 a (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 (fma.f64 (/.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (* 9 (- a (/ 1 3))) #s(literal -3 binary64))
#s(approx (* 9 (- a (/ 1 3))) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))))) #s(literal 1 binary64)) a))
#s(approx (- a (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/18 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a))
#s(approx (* 9 (- a (/ 1 3))) (*.f64 #s(literal 9 binary64) a))
#s(approx (* 9 (- a (/ 1 3))) (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (neg.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal -1/6 binary64) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) a)) (neg.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (.f64 rand #s(literal 1/3 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (.f64 rand #s(literal 1/3 binary64))))) a))) a)) (neg.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (- a (/ 1 3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 1/3 binary64)) #s(literal -1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #s(literal 1/18 binary64))) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) #s(literal 3 binary64)) #s(literal 1/432 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a)))
#s(approx (* 9 (- a (/ 1 3))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.f64 (.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx rand rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))

eval20.0ms (0.7%)

Memory: -21.3MiB live, 29.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 871 to 651 computations (65.2% saved)

prune8.0ms (0.3%)

Memory

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

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	96	11	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	11	108

Accuracy

100.0%

Counts

108 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
	34.9%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))))) rand)))
▶	99.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
	98.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) rand)))
	99.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
▶	63.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
▶	99.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
▶	98.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
	98.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
	78.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))

Compiler

Compiled 464 to 418 computations (9.9% saved)

series28.0ms (1%)

Memory

1.0MiB live, 47.1MiB allocated; 4ms collecting garbage

Counts

31 → 126

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 1 binary64) rand)
rand
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 9 binary64)
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
(sqrt.f64 a)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 -3))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (/ 1 (sqrt a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (/ 1 (sqrt a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* 1 rand) #s(hole binary64 rand))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))
3.0ms	a	@	inf	((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))
3.0ms	rand	@	-inf	((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))
3.0ms	a	@	0	((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))
3.0ms	rand	@	0	((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))

rewrite141.0ms (5.2%)

Memory

13.3MiB live, 151.1MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	4684
0	749	3773
0	4279	3613

Stop Event

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

Counts

157 → 246

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 1 binary64) rand)
rand
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 9 binary64)
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
(sqrt.f64 a)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 -3))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (/ 1 (sqrt a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (/ 1 (sqrt a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* 1 rand) #s(hole binary64 rand))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))

Outputs
(.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(+.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) (.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 (-.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) rand))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)
(.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
rand
rand
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 9 binary64)
(.f64 #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) (-.f64 a #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 a (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (-.f64 a (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (.f64 a a)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a))
(/.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (.f64 a (.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) a)
(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a)
(+.f64 a (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) rand)
(*.f64 rand #s(literal 1/3 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand)) (neg.f64 (sqrt.f64 #s(literal -9 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a)
(*.f64 a (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
(fma.f64 a #s(literal 1 binary64) (.f64 a (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(+.f64 (.f64 a #s(literal 1 binary64)) (.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) a) (.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64))
(fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (.f64 #s(literal 1/3 binary64) rand)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)
(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(/.f64 rand (sqrt.f64 a))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
(.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(+.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) (.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) rand))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 (/.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (* (- a 1/3) 9) #s(literal -3 binary64))
#s(approx (* (- a 1/3) 9) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 rand a) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/24 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)) (-.f64 (.f64 (+.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) rand) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 rand a) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/24 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)) (.f64 (+.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) rand) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a)))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 #s(literal -1/3 binary64)))
#s(approx (sqrt (- a 1/3)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a))
#s(approx (* (/ 1 (sqrt a)) rand) (/.f64 rand (sqrt.f64 a)))
#s(approx (/ 1 (sqrt a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 81/4 binary64) a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 a (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64) (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))))) #s(literal 1 binary64)) a))
#s(approx (- a (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
#s(approx (sqrt (* (- a 1/3) 9)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a))
#s(approx (sqrt (* (- a 1/3) 9)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (fma.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal -1/24 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a))
#s(approx (sqrt (* (- a 1/3) 9)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (fma.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a))
#s(approx (* (- a 1/3) 9) (*.f64 #s(literal 9 binary64) a))
#s(approx (* (- a 1/3) 9) (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (*.f64 (-.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a))
#s(approx (sqrt (- a 1/3)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (.f64 (+.f64 (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/18 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (neg.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64) (.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal -1/6 binary64))) a)) (neg.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (.f64 #s(literal 1/3 binary64) rand) (.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1/18 binary64)))) a))) a)) (neg.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a)))
#s(approx (- a (/ 1 3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (.f64 #s(literal 1/3 binary64) rand))) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (.f64 #s(literal 1/3 binary64) rand))) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a)))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a)))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) #s(literal 3 binary64)) #s(literal 1/432 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a)))
#s(approx (* (- a 1/3) 9) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64))) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal 1/18 binary64) (.f64 (.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal -1/216 binary64))) a)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64) (-.f64 (.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64) (-.f64 (.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1 binary64)) #s(literal 1/1296 binary64) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64) (.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/432 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))) a)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 1/3 binary64)) #s(literal -1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/2 binary64))) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64)))
#s(approx (* 1 rand) rand)
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a))
#s(approx (* 1/3 rand) (*.f64 #s(literal 1/3 binary64) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))

eval26.0ms (1%)

Memory: 8.1MiB live, 53.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 3 285 to 1 177 computations (64.2% saved)

prune15.0ms (0.6%)

Memory

-16.3MiB live, 28.4MiB allocated; 6ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	222	13	235
Fresh	4	2	6
Picked	4	1	5
Done	0	0	0
Total	230	16	246

Accuracy

100.0%

Counts

246 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
	62.5%	(.f64 (/.f64 (-.f64 (.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
	99.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
	63.8%	(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
▶	99.8%	(.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
▶	1.5%	(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
	99.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
✓	99.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
	99.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)) a) #s(literal 1/3 binary64)))
▶	78.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))
	98.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
▶	98.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
▶	77.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))

Compiler

Compiled 732 to 682 computations (6.8% saved)

series58.0ms (2.1%)

Memory

-4.7MiB live, 39.7MiB allocated; 7ms collecting garbage

Counts

31 → 140

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
rand
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
#s(literal 9 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
(/.f64 a rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))
(-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))

Outputs
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 -3))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (- a 1/3) #s(hole binary64 -1/3))
#s(approx (- a 1/3) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt a))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt a)) (/ a rand))))
#s(approx (/ a rand) #s(hole binary64 (/ a rand)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt -1/3))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (- a 1/3) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (- a 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) (/ 1 rand))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 1))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx rand #s(hole binary64 rand))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) rand)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) rand)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	rand	@	0	((* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) a 1/3 9 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (sqrt (- a 1/3)))
5.0ms	a	@	-inf	((* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) a 1/3 9 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (sqrt (- a 1/3)))
4.0ms	a	@	inf	((* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) a 1/3 9 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (sqrt (- a 1/3)))
4.0ms	rand	@	-inf	((* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) a 1/3 9 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (sqrt (- a 1/3)))
3.0ms	rand	@	inf	((* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) a 1/3 9 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (sqrt (- a 1/3)))

rewrite187.0ms (6.9%)

Memory

-0.2MiB live, 183.4MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	757	5317
0	790	4724
0	4578	4487

Stop Event

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

Counts

171 → 222

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
rand
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
#s(literal 9 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
(/.f64 a rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))
(-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 -3))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (- a 1/3) #s(hole binary64 -1/3))
#s(approx (- a 1/3) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt a))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt a)) (/ a rand))))
#s(approx (/ a rand) #s(hole binary64 (/ a rand)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt -1/3))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (- a 1/3) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (- a 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) (/ 1 rand))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 1))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx rand #s(hole binary64 rand))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) rand)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) rand)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))

Outputs
(.f64 (+.f64 (/.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 (/.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (/.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (/.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))))
(/.f64 (neg.f64 rand) (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))))
(/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)))
rand
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
#s(literal 9 binary64)
#s(literal 1 binary64)
(.f64 #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)) #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)))
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (-.f64 a (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (.f64 a a)) (-.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a))
(/.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (.f64 a (.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a))))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) rand)))
(+.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a)
(+.f64 a (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 a) rand)
(*.f64 rand (sqrt.f64 a))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(*.f64 rand (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)))
(fma.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (.f64 (/.f64 a rand) rand))
(fma.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) (.f64 (/.f64 a rand) rand))
(fma.f64 (sqrt.f64 a) (.f64 #s(literal 1/3 binary64) rand) (.f64 (/.f64 a rand) rand))
(fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand) (.f64 (/.f64 a rand) rand))
(fma.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (.f64 rand (/.f64 a rand)))
(+.f64 (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (*.f64 rand (/.f64 a rand)))
(+.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (/.f64 a rand) rand))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (.f64 (/.f64 a rand) (/.f64 a rand))) (-.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (/.f64 a rand)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 a rand) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (-.f64 (.f64 (/.f64 a rand) (/.f64 a rand)) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (/.f64 a rand)))))
(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))
(+.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (/.f64 a rand))
(+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 a) (neg.f64 rand))
(/.f64 a rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 #s(approx (+ ( (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(approx (+ ( (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand))) #s(literal 1/9 binary64)) (+.f64 #s(approx (+ ( (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(approx (+ ( (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(approx (+ ( (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) (+.f64 #s(literal 1/9 binary64) (.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))))
(-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(*.f64 rand (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)))
(fma.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand (.f64 (/.f64 a rand) rand))
(fma.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (.f64 rand (/.f64 a rand)))
(+.f64 (.f64 rand (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) (*.f64 rand (/.f64 a rand)))
(+.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand) (*.f64 (/.f64 a rand) rand))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) (.f64 (/.f64 a rand) (/.f64 a rand))) (-.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 a rand)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 a rand) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (-.f64 (.f64 (/.f64 a rand) (/.f64 a rand)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 a rand)))))
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand))
(+.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 a rand))
(+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (fma.f64 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (fma.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (fma.f64 a (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+.f64 (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 a rand) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 a rand) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 (/.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal 3/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (* (- a 1/3) 9) #s(literal -3 binary64))
#s(approx (* (- a 1/3) 9) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (sqrt a) rand) (*.f64 (sqrt.f64 a) rand))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)))
#s(approx (/ a rand) (/.f64 a rand))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 a rand) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/24 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (fma.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) (-.f64 (.f64 (+.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) rand) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 a rand) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/24 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) rand) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (fma.f64 (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) rand) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (fma.f64 (fma.f64 (/.f64 (.f64 a rand) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/24 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) rand)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (fma.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) (.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) rand (.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (.f64 #s(literal -1/24 binary64) rand) (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a)) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (fma.f64 (+.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand)) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (fma.f64 (+.f64 (fma.f64 (-.f64 (.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/24 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 #s(literal -1/3 binary64)))
#s(approx (sqrt (- a 1/3)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))) #s(literal 1 binary64)) a))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))))) #s(literal 1 binary64)) a))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64))) #s(literal 1 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+.f64 (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
#s(approx (sqrt (* (- a 1/3) 9)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a))
#s(approx (sqrt (* (- a 1/3) 9)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (fma.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal -1/24 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a))
#s(approx (sqrt (* (- a 1/3) 9)) (.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (fma.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a))
#s(approx (* (- a 1/3) 9) (*.f64 #s(literal 9 binary64) a))
#s(approx (* (- a 1/3) 9) (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a))
#s(approx (- a (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand) a))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (fma.f64 #s(literal -1/216 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (fma.f64 #s(literal -1/216 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand)) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64)))) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (fma.f64 #s(literal -1/216 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand)))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 #s(literal -1/1296 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))))) a))
#s(approx (sqrt (- a 1/3)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (.f64 (+.f64 (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) a)) (neg.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))))) a))) a)) (neg.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))))) #s(literal 1 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) #s(literal 1 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (.f64 (.f64 a a) a))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))))) #s(literal 1 binary64)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (.f64 (.f64 a a) a))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a)))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a)))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) #s(literal 3 binary64)) #s(literal 1/432 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a)))
#s(approx (* (- a 1/3) 9) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)) a)))
#s(approx (- a (/ 1 3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)))
#s(approx (* (sqrt a) rand) (neg.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal -1 binary64))))
#s(approx (sqrt a) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (neg.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand) a)))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (neg.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal 1/18 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64))) a)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64) (-.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64) (-.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1 binary64)) #s(literal 1/1296 binary64) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (neg.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64))) a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64)))) a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) rand) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1 binary64)) #s(literal 1/1296 binary64) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64))))) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64) (-.f64 (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand))) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (neg.f64 (.f64 a (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/216 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64) (-.f64 (.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/216 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/1296 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/18 binary64) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) rand)) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/432 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))) a)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) #s(literal 1 binary64))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64)))
#s(approx rand rand)
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) rand))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (/.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a) rand))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ a rand)) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))

eval91.0ms (3.4%)

Memory: -19.8MiB live, 50.0MiB allocated; 34ms collecting garbage
Compiler: Compiled 3 474 to 1 312 computations (62.2% saved)

prune13.0ms (0.5%)

Memory

32.3MiB live, 32.3MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	199	6	205
Fresh	1	9	10
Picked	2	3	5
Done	1	0	1
Total	203	18	221

Accuracy

100.0%

Counts

221 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
	62.5%	(.f64 (/.f64 (-.f64 (.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
▶	99.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
▶	63.8%	(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
✓	99.8%	(.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
✓	1.5%	(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
▶	99.8%	(.f64 #s(approx (+ (/ rand (sqrt ( (- a 1/3) 9))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
	99.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)) a) #s(literal 1/3 binary64)))
	34.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (fma.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))
	37.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ a rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) #s(literal 1/3 binary64)))
	98.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
✓	98.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
▶	98.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))
	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
	37.8%	#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))

Compiler

Compiled 833 to 778 computations (6.6% saved)

series79.0ms (2.9%)

Memory

6.4MiB live, 52.7MiB allocated; 6ms collecting garbage

Counts

29 → 87

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a #s(literal 1/3 binary64))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
(.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a)
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(/.f64 rand (sqrt.f64 a))
(.f64 #s(approx (+ (/ rand (sqrt ( (- a 1/3) 9))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand)

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt -3)))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* -9/2 (/ a (sqrt -3))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* -1/2 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (/ rand (sqrt a)) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (* rand (sqrt -3))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* 1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) #s(hole binary64 (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) #s(hole binary64 (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/18 (sqrt (/ 1 (pow a 5))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1 (/ (+ (* 1/18 (sqrt a)) (* 1/2 (* (sqrt (/ 1 a)) (+ 1/27 (* -1/36 a))))) (pow a 3))) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (sqrt a) (* 1/3 rand)) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (* rand (sqrt (/ 1 (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))

Calls

6 calls:

Time	Variable		Point	Expression
57.0ms	a	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) (* 1/3 rand) 1/3 rand (/ 1 (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- a 1/3) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (sqrt a) (* 1/3 rand)) a) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) (* (/ 1 (sqrt (- a 1/3))) rand))
9.0ms	a	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) (* 1/3 rand) 1/3 rand (/ 1 (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- a 1/3) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (sqrt a) (* 1/3 rand)) a) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) (* (/ 1 (sqrt (- a 1/3))) rand))
3.0ms	rand	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) (* 1/3 rand) 1/3 rand (/ 1 (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- a 1/3) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (sqrt a) (* 1/3 rand)) a) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) (* (/ 1 (sqrt (- a 1/3))) rand))
2.0ms	a	@	0	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) (* 1/3 rand) 1/3 rand (/ 1 (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- a 1/3) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (sqrt a) (* 1/3 rand)) a) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) (* (/ 1 (sqrt (- a 1/3))) rand))
2.0ms	rand	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) (* 1/3 rand) 1/3 rand (/ 1 (sqrt (- a 1/3))) (sqrt (- a 1/3)) (- a 1/3) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (sqrt a) (* 1/3 rand)) a) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ rand (sqrt a)) 1/3) (/ rand (sqrt a)) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) (* (/ 1 (sqrt (- a 1/3))) rand))

rewrite169.0ms (6.2%)

Memory

-26.6MiB live, 197.0MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	543	3325
0	577	2984
0	3363	2810

Stop Event

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

Counts

116 → 167

Calls

Call 1

Inputs
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a #s(literal 1/3 binary64))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a))
(fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
(.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a)
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(/.f64 rand (sqrt.f64 a))
(.f64 #s(approx (+ (/ rand (sqrt ( (- a 1/3) 9))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt -3)))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* -9/2 (/ a (sqrt -3))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* -1/2 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (/ rand (sqrt a)) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (* rand (sqrt -3))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* 1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) #s(hole binary64 (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) #s(hole binary64 (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/18 (sqrt (/ 1 (pow a 5))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1 (/ (+ (* 1/18 (sqrt a)) (* 1/2 (* (sqrt (/ 1 a)) (+ 1/27 (* -1/36 a))))) (pow a 3))) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (sqrt a) (* 1/3 rand)) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (* rand (sqrt (/ 1 (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))

Outputs
(.f64 #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
(.f64 #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (-.f64 a (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (.f64 a a)) (-.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a))
(/.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (.f64 a (.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a))))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 a) rand)))
(+.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a)
(+.f64 a (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
(.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a)
(.f64 a #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)))
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 a)))
(/.f64 rand (sqrt.f64 a))
(.f64 #s(approx (+ (/ rand (sqrt ( (- a 1/3) 9))) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ (/ rand (sqrt ( (- a 1/3) 9))) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))))
#s(approx (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand)
(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (- a 1/3))) (sqrt.f64 #s(literal -3 binary64)))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 binary64) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 81/4 binary64) a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 a (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 #s(literal -1/3 binary64)))
#s(approx (sqrt (- a 1/3)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (/.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a))
#s(approx (/ rand (sqrt a)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 #s(literal -9/2 binary64) (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (sqrt.f64 #s(literal -3 binary64)) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))))) #s(literal 1 binary64)) a))
#s(approx (- a (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 #s(literal 1/54 binary64) (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (- a 1/3))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 1/18 binary64) (fma.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (.f64 (+.f64 (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 1/18 binary64)) rand (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 1/18 binary64)) rand (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) rand (fma.f64 (.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) a)) (neg.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (.f64 (.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))))) a))) a)) (neg.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (- a (/ 1 3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))))) (.f64 (.f64 a a) a))) (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))))) #s(literal 1 binary64)))
#s(approx (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) (+.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) rand))) #s(literal 1 binary64)))
#s(approx (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) rand) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (* (* 1/3 rand) (/ 1 (sqrt (- a 1/3)))) 1) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/54 binary64) (sqrt.f64 a)) rand (.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand))) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) rand)))) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) a))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 a))) (.f64 (.f64 a a) a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/432 binary64) (fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))) a)))
#s(approx (+ (* (sqrt a) (* 1/3 rand)) a) (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64)) rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64)) rand (fma.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) rand)) (.f64 (.f64 a a) a))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64)) rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
#s(approx (* 1/3 rand) (*.f64 rand #s(literal 1/3 binary64)))
#s(approx rand rand)
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 a) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (neg.f64 (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))

eval18.0ms (0.7%)

Memory: 44.3MiB live, 44.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 620 to 937 computations (64.2% saved)

prune17.0ms (0.6%)

Memory

-14.8MiB live, 30.8MiB allocated; 6ms collecting garbage

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	162	5	167
Fresh	4	6	10
Picked	2	3	5
Done	0	3	3
Total	168	17	185

Accuracy

100.0%

Counts

185 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.3%	(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64))))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
	62.4%	(.f64 (/.f64 (-.f64 (.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
✓	63.8%	(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
✓	99.8%	(.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
✓	1.5%	(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
	99.8%	(.f64 #s(approx (+ (/ rand (sqrt ( (- a 1/3) 9))) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
	99.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)) a) #s(literal 1/3 binary64)))
	37.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ a rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) #s(literal 1/3 binary64)))
	98.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) a))
✓	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
✓	98.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
✓	98.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))
	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))

Compiler

Compiled 842 to 595 computations (29.3% saved)

regimes53.0ms (2%)

Memory

-9.6MiB live, 47.9MiB allocated; 18ms collecting garbage

Counts

36 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ a rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))
(.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 #s(approx (+ (/ rand (sqrt ( (- a 1/3) 9))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(.f64 #s(approx (+ (/ rand (sqrt ( (- a 1/3) 9))) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) rand)))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(.f64 (/.f64 (-.f64 (.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a)) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (fma.f64 (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64))))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (/.f64 (-.f64 (.f64 (.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))))) rand)))

Outputs
(.f64 (+.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))

Calls

4 calls:

24.0ms	a
9.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
9.0ms	rand
9.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
99.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
99.8%	1	`a`
99.8%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes63.0ms (2.3%)

Memory

-5.2MiB live, 42.8MiB allocated; 3ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ a rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand)) #s(literal 1/3 binary64)))

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))

Outputs

#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))

Calls

4 calls:

44.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
6.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
6.0ms	a
6.0ms	rand

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
99.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
99.8%	1	`a`
99.8%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes22.0ms (0.8%)

Memory

-4.1MiB live, 40.5MiB allocated; 5ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ a rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))

Outputs

#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))

Calls

4 calls:

8.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
5.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms	a
4.0ms	rand

Results

Accuracy	Segments	Branch
99.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
99.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
99.8%	1	`a`
99.8%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes19.0ms (0.7%)

Memory

-6.1MiB live, 39.5MiB allocated; 4ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* (/ 1 (sqrt a)) rand) 1/3) 1) (/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ a rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))

Calls

4 calls:

6.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
4.0ms	rand
4.0ms	a

Results

Accuracy	Segments	Branch
98.3%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
98.3%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
98.3%	1	`a`
98.3%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes10.0ms (0.4%)

Memory

24.0MiB live, 23.9MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 #s(literal 1/3 binary64) rand) a)))

Calls

4 calls:

2.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms	a
2.0ms	rand

Results

Accuracy	Segments	Branch
98.3%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
98.3%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
98.3%	1	`a`
98.3%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes13.0ms (0.5%)

Memory

-28.3MiB live, 22.3MiB allocated; 7ms collecting garbage

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

Outputs

#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))

(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))

Calls

4 calls:

6.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms	rand
2.0ms	a

Results

Accuracy	Segments	Branch
70.3%	4	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
86.6%	3	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
70.3%	4	`a`
92.6%	3	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes2.0ms (0.1%)

Memory

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

Counts

3 → 3

Calls

Call 1

Inputs

(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))

Outputs

#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))

(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))

Calls

1 calls:

2.0ms

rand

Results

Accuracy	Segments	Branch
92.5%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

Outputs
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

Calls

4 calls:

1.0ms	rand
1.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	a

Results

Accuracy	Segments	Branch
63.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
63.8%	1	`a`
63.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
63.8%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes4.0ms (0.2%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

Outputs
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))

Calls

4 calls:

1.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	a
1.0ms	rand

Results

Accuracy	Segments	Branch
1.5%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
1.5%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
1.5%	1	`a`
1.5%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

bsearch25.0ms (0.9%)

Memory

2.3MiB live, 48.7MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.142265130648342e+79	4.6656218145038553e+80
12.0ms	-3.3325384830426436e+92	-9.472772986304318e+90

Samples

13.0ms

224×

valid

Compiler

Compiled 688 to 676 computations (1.7% saved)

Precisions

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

ival-mult!: 3.0ms (44.4% of total)

ival-sqrt: 2.0ms (29.6% of total)

ival-sub!: 1.0ms (14.8% of total)

ival-add!: 1.0ms (14.8% of total)

ival-div!: 1.0ms (14.8% of total)

adjust: 0.0ms (0% of total)

bsearch19.0ms (0.7%)

Memory

-16.1MiB live, 28.8MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.237974325234497e+87	8.215717972637319e+93
1.0ms	-3.3325384830426436e+92	-9.472772986304318e+90

Samples

7.0ms

144×

valid

Compiler

Compiled 823 to 802 computations (2.6% saved)

Precisions

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

ival-mult!: 2.0ms (45.6% of total)

ival-sqrt: 1.0ms (22.8% of total)

ival-div!: 1.0ms (22.8% of total)

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

adjust: 0.0ms (0% of total)

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

derivations211.0ms (7.8%)

Memory

-28.4MiB live, 75.4MiB allocated; 140ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 126 to 71 computations (43.7% saved)

preprocess73.0ms (2.7%)

Memory: 49.7MiB live, 187.0MiB allocated; 25ms collecting garbage
Compiler: Compiled 145 to 84 computations (42.1% saved)

end0.0ms (0%)

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

Octave 3.8, oct_fill_randg

start0.0ms (0%)

analyze12.0ms (0.4%)

sample1.1s (41%)

preprocess80.0ms (2.9%)

series17.0ms (0.6%)

rewrite101.0ms (3.7%)

eval20.0ms (0.7%)

prune8.0ms (0.3%)

series28.0ms (1%)

rewrite141.0ms (5.2%)

eval26.0ms (1%)

prune15.0ms (0.6%)

series58.0ms (2.1%)

rewrite187.0ms (6.9%)

eval91.0ms (3.4%)

prune13.0ms (0.5%)

series79.0ms (2.9%)

rewrite169.0ms (6.2%)

eval18.0ms (0.7%)

prune17.0ms (0.6%)

regimes53.0ms (2%)

regimes63.0ms (2.3%)

regimes22.0ms (0.8%)

regimes19.0ms (0.7%)

regimes10.0ms (0.4%)

regimes13.0ms (0.5%)

regimes2.0ms (0.1%)

regimes6.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch25.0ms (0.9%)

bsearch19.0ms (0.7%)

derivations211.0ms (7.8%)

preprocess73.0ms (2.7%)

end0.0ms (0%)

Profiling