Metrics for Octave 3.8, oct_fill

start0.0ms (0%)

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

analyze12.0ms (0.5%)

Memory

28.1MiB live, 28.1MiB 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)

sample1.0s (44.1%)

Memory

24.4MiB live, 1 109.0MiB allocated; 317ms collecting garbage

Samples

663.0ms	8 256×	0	valid
45.0ms	510×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

ival-mult!: 269.0ms (58.4% of total)

ival-sqrt: 71.0ms (15.4% of total)

ival-div!: 64.0ms (13.9% of total)

ival-sub!: 35.0ms (7.6% of total)

ival-add!: 20.0ms (4.3% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

preprocess43.0ms (1.8%)

Memory

-37.7MiB live, 53.4MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	104
1	121	90
2	353	88
3	1247	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 (0.7%)

Memory

37.1MiB live, 37.1MiB allocated; 0ms collecting garbage

Counts

13 → 83

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))
#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)))
#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 (* 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 (* (- 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)

rewrite110.0ms (4.7%)

Memory

1.9MiB live, 191.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	454	3076
0	468	2587
0	2715	2432

Stop Event

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

Counts

96 → 116

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))
#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)))
#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 (* 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 (* (- 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)) 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 1/2 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 rand #s(literal 1/3 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 1/2 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 rand #s(literal 1/3 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 a #s(literal 1/3 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)))
#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 (.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #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 (* (- 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)))

eval22.0ms (0.9%)

Memory: -12.3MiB live, 38.7MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 909 to 661 computations (65.4% saved)

prune10.0ms (0.4%)

Memory

-25.2MiB live, 20.7MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	101	9	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	9	111

Accuracy

100.0%

Counts

111 → 9

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)))
	59.5%	(.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) (sqrt.f64 (.f64 #s(literal 9 binary64) (/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))))) rand)))
▶	97.6%	(.f64 #s(approx (- a (/ 1 3)) a) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) #s(approx (- a (/ 1 3)) a)))) rand)))
▶	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)))
▶	60.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	97.6%	#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))
▶	97.5%	#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))
	79.7%	#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))
	41.6%	#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 364 to 318 computations (12.6% saved)

series30.0ms (1.3%)

Memory

11.9MiB live, 56.8MiB allocated; 6ms collecting garbage

Counts

30 → 214

Calls

Call 1

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

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 (- (+ (* (* 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 (- 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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (/ 1 (sqrt a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (/ 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 (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)) (+ 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) 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 (* 1/3 (* (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)) (* 1/3 (* (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 (sqrt 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 (- a 1/3) #s(hole binary64 a))
#s(approx (- a 1/3) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (- a (/ 1 3)) #s(hole binary64 a))
#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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (/ 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 (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)) (+ 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 (- (+ (* (* 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 (- (* 1/3 (* (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 (- a 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (/ 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 (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)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- a 1/3)))
#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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 a))
#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 rand #s(hole binary64 rand))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 a))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 1))
#s(approx (* rand 1/3) #s(hole binary64 (* 1/3 rand)))
#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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (* 1/3 (* 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 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 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#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 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 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 (* (+ (* (/ 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))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9))
6.0ms	rand	@	-inf	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 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 (* (+ (* (/ 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))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9))
3.0ms	a	@	inf	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 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 (* (+ (* (/ 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))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9))
3.0ms	a	@	0	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 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 (* (+ (* (/ 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))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9))
2.0ms	rand	@	0	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 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 (* (+ (* (/ 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))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9))

rewrite168.0ms (7.1%)

Memory

0.0MiB live, 198.0MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	786	7505
0	820	6377
0	4309	6112

Stop Event

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

Counts

244 → 327

Calls

Call 1

Inputs
#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)
#s(literal 1/3 binary64)
rand
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a #s(literal 1/3 binary64))
a
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.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))
(.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(*.f64 rand #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
#s(literal 1 binary64)
(sqrt.f64 a)
(.f64 #s(approx (- a (/ 1 3)) a) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) #s(approx (- a (/ 1 3)) a)))) rand)))
#s(approx (- a (/ 1 3)) a)
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) #s(approx (- a (/ 1 3)) a)))) rand))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) #s(approx (- a (/ 1 3)) a)))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) #s(approx (- a (/ 1 3)) a))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) #s(approx (- a (/ 1 3)) a)))
(*.f64 #s(literal 9 binary64) #s(approx (- a (/ 1 3)) a))
#s(literal 9 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)))
(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))))
(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))
#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 (- (+ (* (* 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 (- 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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (/ 1 (sqrt a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (/ 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 (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)) (+ 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) 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 (* 1/3 (* (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)) (* 1/3 (* (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 (sqrt 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 (- a 1/3) #s(hole binary64 a))
#s(approx (- a 1/3) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (- a (/ 1 3)) #s(hole binary64 a))
#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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (/ 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 (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)) (+ 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 (- (+ (* (* 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 (- (* 1/3 (* (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 (- a 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (/ 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 (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)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- a 1/3)))
#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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 a))
#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 rand #s(hole binary64 rand))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 a))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 1))
#s(approx (* rand 1/3) #s(hole binary64 (* 1/3 rand)))
#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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 1))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (+ 1 (* 1/3 (* 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 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 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#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 1/3) 9))) rand) 1) (- a 1/3)) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))

Outputs
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (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 rand #s(literal 1/3 binary64)) (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 rand #s(literal 1/3 binary64)) (-.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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(+.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 a (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 a a) (.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))) (-.f64 a (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))) (.f64 a a)) (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) a))
(/.f64 (fma.f64 (.f64 a a) a (pow.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))) (.f64 a (.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #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 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) 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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) a)
(+.f64 a (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(/.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)))
#s(literal 1/3 binary64)
rand
(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))
a
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
(.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
(.f64 a (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (.f64 (.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
(fma.f64 a #s(literal 1 binary64) (.f64 a (.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 a #s(literal 1 binary64)) (.f64 a (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) a) (.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
(/.f64 (-.f64 (.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (-.f64 (.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))) (.f64 #s(literal 1 binary64) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (.f64 rand #s(literal 1/3 binary64))))
(+.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(/.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 #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))
#s(literal 1 binary64)
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) #s(approx (- a (/ 1 3)) a))
(.f64 #s(approx (- a (/ 1 3)) a) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand #s(literal 1 binary64)))
(fma.f64 #s(approx (- a (/ 1 3)) a) #s(literal 1 binary64) (.f64 #s(approx (- a (/ 1 3)) a) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand)))
(fma.f64 #s(literal 1 binary64) #s(approx (- a (/ 1 3)) a) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand) #s(approx (- a (/ 1 3)) a)))
(+.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 1 binary64)) (.f64 #s(approx (- a (/ 1 3)) a) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand)))
(+.f64 (.f64 #s(literal 1 binary64) #s(approx (- a (/ 1 3)) a)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand) #s(approx (- a (/ 1 3)) a)))
#s(approx (- a (/ 1 3)) a)
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #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 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64))))) rand))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand)
(.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64))))
(pow.f64 (sqrt.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(approx (- a (/ 1 3)) a)))
(pow.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))
(*.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) #s(approx (- a (/ 1 3)) a))
#s(literal 9 binary64)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 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) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 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) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand)))
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 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) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand)))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand))) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand)) #s(literal 1 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand)) (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)))) rand))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) rand))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(*.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 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (- (+ (* (* 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 rand #s(literal 1/3 binary64)) (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 rand #s(literal 1/3 binary64)) (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 (/.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 (- 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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a))
#s(approx (/ 1 (sqrt a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (fma.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) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (+.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 (sqrt (* (- a 1/3) 9))) rand) 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 (* (/ 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 (* (- 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 (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 #s(literal 3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 #s(literal -3/8 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 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 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (fma.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) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (+.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 (sqrt (* (- a 1/3) 9))) rand) 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 (/ 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 (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 #s(literal 3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 #s(literal -3/8 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 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 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) 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 (- (+ (* (* 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 (.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)) (/.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 (/.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 -1/216 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.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 (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.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)) 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 (/.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 -1/216 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64))))) #s(literal 1 binary64)) a))
#s(approx (sqrt (- a 1/3)) (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 (- a (/ 1 3)) a)
#s(approx (- a (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.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 1/3) (/ 1 (sqrt a))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (- a (/ 1 3)) a)
#s(approx (- a (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (fma.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) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (/ 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 (/.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 (* (/ 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 (/.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 (* (/ 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 (* (- 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 (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 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (fma.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) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (/ 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 (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 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (.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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (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) (.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal -1/6 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (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 1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/6 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (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 (- (+ (* (* 1/3 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 (-.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 #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)) (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 (- a (/ 1 3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (sqrt a) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 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 (sqrt (* (- a 1/3) 9))) rand) 1) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (+.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 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (+.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 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/18 binary64) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (+.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 rand #s(literal 1/3 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 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
#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 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#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 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/18 binary64) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))))
#s(approx (* (/ 1 (sqrt (* 9 (- 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 (.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 rand #s(literal 1/3 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 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))))
#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 (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 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (.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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (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) (.f64 (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal -1/6 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (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 1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/6 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (+.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 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (+.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 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/18 binary64) (.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (+.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 rand #s(literal 1/3 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 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#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 (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 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) a)
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a))
#s(approx (* rand 1/3) (*.f64 rand #s(literal 1/3 binary64)))
#s(approx rand rand)
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a)
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(literal 1 binary64))
#s(approx (* rand 1/3) (*.f64 rand #s(literal 1/3 binary64)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.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 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) #s(literal 1 binary64))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) 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 (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) 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))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (.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 (sqrt (* (- a 1/3) 9))) rand) 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 1/3) 9))) rand) 1) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (.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 (sqrt (* (- a 1/3) 9))) rand) 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 1/3) 9))) rand) 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) 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 (+ (* (* 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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 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)))
#s(approx (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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 1/3) 9))) rand) 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 (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 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)))

eval31.0ms (1.3%)

Memory: 20.9MiB live, 65.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 692 to 1 290 computations (65.1% saved)

prune23.0ms (1%)

Memory

-27.0MiB live, 26.8MiB allocated; 12ms collecting garbage

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	244	9	253
Fresh	3	1	4
Picked	4	1	5
Done	0	0	0
Total	251	11	262

Accuracy

100.0%

Counts

262 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) #s(approx (- a (/ 1 3)) a))
▶	98.8%	#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)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))
✓	60.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	41.6%	#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)))))
	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) a))
▶	41.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))))
	1.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)))
	97.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
▶	77.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
▶	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
▶	59.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a))

Compiler

Compiled 520 to 472 computations (9.2% saved)

series29.0ms (1.2%)

Memory

14.0MiB live, 59.1MiB allocated; 7ms collecting garbage

Counts

26 → 123

Calls

Call 1

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

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 (- (+ (* (* 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 (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (* (sqrt a) rand) 1/3) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #s(hole binary64 (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 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)) rand) #s(hole binary64 (* rand (sqrt -1/3))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))))
#s(approx (- a 1/3) #s(hole binary64 -1/3))
#s(approx (- a 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#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 (* (- 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) 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 (* 1/3 (* (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)) (* 1/3 (* (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 (sqrt 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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #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)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))))
#s(approx (- a 1/3) #s(hole binary64 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 (* (- 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 (- (+ (* (* 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 (- (* 1/3 (* (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 (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (* (* (sqrt a) rand) 1/3) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #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)))))))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #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))))))))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #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)))))))))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))))
#s(approx (- a 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- a 1/3)))
#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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 a))
#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 rand #s(hole binary64 rand))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 a))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (sqrt (- a 1/3)) rand) #s(hole binary64 (* rand (sqrt (- a 1/3)))))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 a))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (/ a rand)))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	rand	@	inf	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand))
5.0ms	a	@	-inf	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand))
4.0ms	rand	@	-inf	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand))
3.0ms	a	@	inf	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand))
3.0ms	rand	@	0	((* (- 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) 1/3 rand (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (* (sqrt a) rand) 1/3) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand))

rewrite123.0ms (5.2%)

Memory

12.6MiB live, 104.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	580	4177
0	602	3776
0	3326	3563

Stop Event

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

Counts

149 → 188

Calls

Call 1

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

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64))
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) (.f64 a a)) (-.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a)
(fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a)
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a)
(+.f64 a (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
#s(literal 1/3 binary64)
rand
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
a
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(.f64 (sqrt.f64 a) (.f64 rand #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(*.f64 rand (sqrt.f64 a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
(.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(*.f64 rand (sqrt.f64 (-.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))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 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 rand #s(literal 1/3 binary64)) (.f64 (/.f64 a rand) rand))
(fma.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (.f64 rand (/.f64 a rand)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand) (.f64 (/.f64 a rand) 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 (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 (- (+ (* (* 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 (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 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 (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)) (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 (sqrt a) (sqrt.f64 a))
#s(approx a a)
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (* (sqrt a) rand) 1/3) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (sqrt a) rand) (*.f64 (sqrt.f64 a) rand))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (fma.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))) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (fma.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))) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (sqrt (- a 1/3)) rand) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
#s(approx (* (sqrt (- a 1/3)) rand) (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)))
#s(approx (* (sqrt (- a 1/3)) rand) (fma.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 -1/8 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)))
#s(approx (* (sqrt (- a 1/3)) rand) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) (/.f64 (.f64 #s(literal -1/8 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 1/2 binary64))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)))
#s(approx (- a 1/3) #s(literal -1/3 binary64))
#s(approx (- a 1/3) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) 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 (* (- 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 (/.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)) 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) 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 (- (+ (* (* 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 (.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)) (/.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 (/.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 -1/216 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.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 (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.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)) 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 (/.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 -1/216 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64))))) #s(literal 1 binary64)) a))
#s(approx (sqrt (- a 1/3)) (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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.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 (* (* (sqrt (- a 1/3)) rand) 1/3) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (.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))) a))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (.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 -1/216 binary64)))) a))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64))))) a))
#s(approx (* (sqrt (- a 1/3)) rand) (*.f64 (sqrt.f64 a) rand))
#s(approx (* (sqrt (- a 1/3)) rand) (.f64 (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)) a))
#s(approx (* (sqrt (- a 1/3)) rand) (.f64 (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 -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))) a))
#s(approx (* (sqrt (- a 1/3)) rand) (.f64 (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 -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) rand (fma.f64 (.f64 #s(literal -1/432 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))) a))
#s(approx (- a 1/3) 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 (* (- 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (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 (- (+ (* (* 1/3 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 (-.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 #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)) (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) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (* (* (sqrt a) rand) 1/3) (.f64 (.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (sqrt a) rand) (neg.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal -1 binary64))))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (.f64 (.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (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 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64))) a)))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (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 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)))) a)))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (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 #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))))) a)))
#s(approx (* (sqrt (- a 1/3)) rand) (neg.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal -1 binary64))))
#s(approx (* (sqrt (- a 1/3)) rand) (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 1/6 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64))) a)))
#s(approx (* (sqrt (- a 1/3)) rand) (neg.f64 (.f64 a (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)))))))
#s(approx (* (sqrt (- a 1/3)) rand) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1 binary64)) #s(literal 1/432 binary64) (fma.f64 (.f64 (.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) a)))) #s(literal 1/6 binary64) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #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 (* (+ (* (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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) a)
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a))
#s(approx (* 1/3 rand) (*.f64 rand #s(literal 1/3 binary64)))
#s(approx rand rand)
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a)
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (sqrt (- a 1/3)) rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) a)
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (/.f64 a 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 (* (- 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 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) 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 (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) 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))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (*.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))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 a) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 a) (neg.f64 (/.f64 a rand))) rand)))

eval42.0ms (1.8%)

Memory: -15.7MiB live, 37.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 2 612 to 974 computations (62.7% saved)

prune12.0ms (0.5%)

Memory

16.7MiB live, 16.7MiB allocated; 0ms collecting garbage

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	166	5	171
Fresh	0	5	5
Picked	0	5	5
Done	0	1	1
Total	166	16	182

Accuracy

100.0%

Counts

182 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(approx (- a (/ 1 3)) a) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) #s(approx (- a (/ 1 3)) a))
✓	98.8%	#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)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))
▶	98.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a) #s(literal 1/3 binary64)))
✓	60.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	41.6%	#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)))))
▶	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) a))
✓	41.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))))
▶	1.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)))
▶	97.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
✓	77.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
✓	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
▶	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (sqrt.f64 a) (.f64 rand #s(literal 1/3 binary64)))))
	39.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (/.f64 a rand)) rand)))
	77.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 #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)) rand)))
✓	59.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a))

Compiler

Compiled 685 to 623 computations (9.1% saved)

series56.0ms (2.4%)

Memory

-24.3MiB live, 22.4MiB allocated; 3ms collecting garbage

Counts

27 → 112

Calls

Call 1

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

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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 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 (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx a #s(hole binary64 a))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) (* rand 1/3)) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (* (/ 1 (sqrt a)) rand) 1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#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 (* (- 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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #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)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt 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 (- a (/ 1 3)) #s(hole binary64 a))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (+ 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 (* (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #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)))))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #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))))))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #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)))))))))))
#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) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (* (sqrt a) (* rand 1/3)) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- a 1/3)))
#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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 a))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* rand 1/3) #s(hole binary64 (* 1/3 rand)))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 a))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 a))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 1))
#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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	rand	@	0	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (sqrt a) (* rand 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* (* (/ 1 (sqrt a)) rand) 1/3) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) 1)
3.0ms	a	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (sqrt a) (* rand 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* (* (/ 1 (sqrt a)) rand) 1/3) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) 1)
3.0ms	rand	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (sqrt a) (* rand 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* (* (/ 1 (sqrt a)) rand) 1/3) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) 1)
3.0ms	rand	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (sqrt a) (* rand 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* (* (/ 1 (sqrt a)) rand) 1/3) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) 1)
2.0ms	a	@	0	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) (* (* rand 1/3) (sqrt (- a 1/3))) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (sqrt a) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (* (sqrt a) (* rand 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* (* (/ 1 (sqrt a)) rand) 1/3) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) 1)

rewrite145.0ms (6.2%)

Memory

10.6MiB live, 229.7MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	523	3787
0	544	3450
0	2966	3247

Stop Event

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

Counts

139 → 184

Calls

Call 1

Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a) #s(literal 1/3 binary64)))
(-.f64 (+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a) #s(literal 1/3 binary64))
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a)
(.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))
(*.f64 rand #s(literal 1/3 binary64))
rand
#s(literal 1/3 binary64)
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
(sqrt.f64 a)
a
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (sqrt.f64 a) (.f64 rand #s(literal 1/3 binary64)))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (sqrt.f64 a) (.f64 rand #s(literal 1/3 binary64))))
(.f64 (sqrt.f64 a) (.f64 rand #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 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)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) a))
(.f64 #s(approx (+ ( (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) a)
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
#s(literal 1 binary64)
#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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 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 (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx a #s(hole binary64 a))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) (* rand 1/3)) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (* (/ 1 (sqrt a)) rand) 1/3) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#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 (* (- 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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #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)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt 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 (- a (/ 1 3)) #s(hole binary64 a))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (+ 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 (* (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #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)))))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #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))))))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #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)))))))))))
#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) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (* (sqrt a) (* rand 1/3)) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- a 1/3)))
#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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 a))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* rand 1/3) #s(hole binary64 (* 1/3 rand)))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 a))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 a))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 1))
#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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64))
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))) (.f64 a a)) (-.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) #s(literal 3 binary64)) (.f64 (.f64 a a) a)) (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) (-.f64 (.f64 a a) (.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a)
(fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) a)
(fma.f64 rand (*.f64 #s(literal 1/3 binary64) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a)
(+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a)
(+.f64 a (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))
(.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)))
(.f64 rand (.f64 #s(literal 1/3 binary64) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
rand
#s(literal 1/3 binary64)
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
a
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(.f64 (sqrt.f64 a) (.f64 rand #s(literal 1/3 binary64)))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a))
(.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 a) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(/.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 (-.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 (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))))
(/.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))))))
(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 rand #s(literal 1/3 binary64)) a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) 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))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) a))
(.f64 #s(approx (+ ( (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) a)
(.f64 a #s(approx (+ ( (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand)
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(.f64 rand (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))
(/.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)
(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) 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))
#s(literal 1 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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (* (* rand 1/3) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (fma.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))) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (fma.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))) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (/.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 (sqrt a) (sqrt.f64 a))
#s(approx a a)
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (sqrt a) (* rand 1/3)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (sqrt a) rand) 1/3) 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 (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a))
#s(approx (* (* (/ 1 (sqrt a)) rand) 1/3) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 (sqrt a)) rand) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))
#s(approx (/ 1 (sqrt a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 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 (+.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 (/.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)) 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 1/3) (sqrt (- a 1/3))) 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 1/3) (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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (.f64 (-.f64 (+.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)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* rand 1/3) (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 (/.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 -1/216 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) (.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 1/3) (sqrt (- a 1/3))) a) (.f64 (+.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)) a))
#s(approx (+ (* (* rand 1/3) (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 (/.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 -1/216 binary64)))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* rand 1/3) (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 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64))))) #s(literal 1 binary64)) a))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (.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))) a))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (.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 -1/216 binary64)))) a))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (.f64 (.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64))))) a))
#s(approx (sqrt (- a 1/3)) (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 (- a (/ 1 3)) a)
#s(approx (- a (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.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 (+ (* (* (sqrt a) rand) 1/3) a) (.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 1/3) (/ 1 (sqrt a))) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (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 (- (+ (* (* rand 1/3) (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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1 binary64) rand) (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 (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1 binary64) rand) (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 (+ (* (* rand 1/3) (sqrt (- a 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 (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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 (+ (* (* rand 1/3) (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) (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1 binary64) 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))))) #s(literal 1 binary64)) a)))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (.f64 (.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (neg.f64 (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1 binary64) 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 (* (* rand 1/3) (sqrt (- a 1/3))) (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) (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1 binary64) 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 (* (* rand 1/3) (sqrt (- a 1/3))) (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 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) (.f64 #s(literal -1 binary64) 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)) (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) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 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)) (.f64 (.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal -1/3 binary64)))
#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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) a)
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a))
#s(approx (* (* rand 1/3) (sqrt (- a 1/3))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* rand 1/3) (*.f64 rand #s(literal 1/3 binary64)))
#s(approx rand rand)
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a)
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) a)
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 rand #s(literal 1/3 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 (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 1/3) (sqrt (- a 1/3))) a) 1/3) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) 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 1/3) (sqrt (- a 1/3))) a) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* rand 1/3) (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 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 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 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (- (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 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)))

eval25.0ms (1.1%)

Memory: 31.0MiB live, 73.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 2 480 to 930 computations (62.5% saved)

prune40.0ms (1.7%)

Memory

-27.7MiB live, 34.5MiB allocated; 42ms collecting garbage

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	2	3	5
Picked	2	3	5
Done	1	5	6
Total	168	14	182

Accuracy

100.0%

Counts

182 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))) a) #s(literal 1/3 binary64)))
✓	60.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	41.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
✓	41.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))))
✓	1.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)))
	97.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 a) a)))
✓	77.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
✓	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
✓	40.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (sqrt.f64 a) (.f64 rand #s(literal 1/3 binary64)))))
	39.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (/.f64 a rand)) rand)))
	77.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 #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)) rand)))
✓	59.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a))

Compiler

Compiled 685 to 499 computations (27.2% saved)

regimes34.0ms (1.4%)

Memory

15.9MiB live, 62.1MiB allocated; 9ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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:

10.0ms	(.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)))
7.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms	rand
7.0ms	a

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)

regimes23.0ms (1%)

Memory

10.5MiB live, 56.5MiB allocated; 3ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	a
5.0ms	(.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	rand
5.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
98.8%	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)))`
98.8%	1	`a`
98.8%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes19.0ms (0.8%)

Memory

-0.5MiB live, 45.7MiB allocated; 4ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
98.8%	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)))`
98.8%	1	`a`
98.8%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes21.0ms (0.9%)

Memory

-6.6MiB live, 43.3MiB allocated; 10ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	a
4.0ms	(-.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

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
97.6%	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)))`
97.6%	1	`a`
97.6%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes16.0ms (0.7%)

Memory

-16.6MiB live, 29.5MiB allocated; 5ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

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)))
3.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms	a
3.0ms	rand

Results

Accuracy	Segments	Branch
97.6%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
97.6%	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)))`
97.6%	1	`a`
97.6%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes11.0ms (0.5%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

3.0ms	a
2.0ms	rand
2.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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)))

Results

Accuracy	Segments	Branch
60.4%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
84.6%	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)))`
60.4%	1	`a`
93.9%	3	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Counts

6 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

2.0ms

rand

Results

Accuracy	Segments	Branch
93.9%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes35.0ms (1.5%)

Memory

-40.6MiB live, 6.7MiB allocated; 2ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

34.0ms

rand

Results

Accuracy	Segments	Branch
93.8%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.3%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

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

Results

Accuracy	Segments	Branch
60.4%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
60.4%	1	`a`
60.4%	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)))`
60.4%	1	`rand`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes5.0ms (0.2%)

Memory

12.8MiB live, 12.9MiB allocated; 0ms collecting garbage

Accuracy

Total -37.3b remaining (-143.1%)

Threshold costs -37.3b (-143.1%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a))

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

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

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
59.2%	1	`rand`
59.2%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
59.2%	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)))`
59.2%	1	`a`

Compiler

Compiled 26 to 23 computations (11.5% saved)

bsearch37.0ms (1.6%)

Memory

-17.0MiB live, 30.1MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.1675768178910513e+89	1.228445649950355e+89
34.0ms	-4.883392511191732e+81	-2.3781290806269052e+72

Samples

8.0ms

160×

valid

Compiler

Compiled 483 to 458 computations (5.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult!: 2.0ms (42.3% of total)

ival-sub!: 1.0ms (21.1% of total)

ival-sqrt: 1.0ms (21.1% of total)

ival-div!: 1.0ms (21.1% of total)

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1675768178910513e+89	1.228445649950355e+89
1.0ms	-4.883392511191732e+81	-2.3781290806269052e+72

Compiler

Compiled 483 to 458 computations (5.2% saved)

bsearch2.0ms (0.1%)

Memory

3.9MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.1675768178910513e+89	1.228445649950355e+89
1.0ms	-4.883392511191732e+81	-2.3781290806269052e+72

Compiler

Compiled 483 to 458 computations (5.2% saved)

derivations93.0ms (4%)

Memory

8.4MiB live, 146.8MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 124 to 69 computations (44.4% saved)

preprocess68.0ms (2.9%)

Memory: -6.9MiB live, 187.3MiB allocated; 18ms collecting garbage
Compiler: Compiled 143 to 82 computations (42.7% 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 (0.5%)

sample1.0s (44.1%)

preprocess43.0ms (1.8%)

series17.0ms (0.7%)

rewrite110.0ms (4.7%)

eval22.0ms (0.9%)

prune10.0ms (0.4%)

series30.0ms (1.3%)

rewrite168.0ms (7.1%)

eval31.0ms (1.3%)

prune23.0ms (1%)

series29.0ms (1.2%)

rewrite123.0ms (5.2%)

eval42.0ms (1.8%)

prune12.0ms (0.5%)

series56.0ms (2.4%)

rewrite145.0ms (6.2%)

eval25.0ms (1.1%)

prune40.0ms (1.7%)

regimes34.0ms (1.4%)

regimes23.0ms (1%)

regimes19.0ms (0.8%)

regimes21.0ms (0.9%)

regimes16.0ms (0.7%)

regimes11.0ms (0.5%)

regimes3.0ms (0.1%)

regimes35.0ms (1.5%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

bsearch37.0ms (1.6%)

bsearch2.0ms (0.1%)

bsearch2.0ms (0.1%)

derivations93.0ms (4%)

preprocess68.0ms (2.9%)

end0.0ms (0%)

Profiling