Octave 3.8, oct_fill_randg

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze21.0ms (0.8%)

Memory
-15.6MiB live, 28.0MiB allocated; 11ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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)

sample928.0ms (33.6%)

Memory
40.9MiB live, 1 454.4MiB allocated; 269ms collecting garbage
Samples
598.0ms8 256×0valid
36.0ms492×0invalid
Precisions
Click to see histograms. Total time spent on operations: 408.0ms
ival-mult!: 178.0ms (43.7% of total)
ival-sqrt: 139.0ms (34.1% of total)
ival-div!: 41.0ms (10.1% of total)
ival-sub!: 27.0ms (6.6% of total)
ival-add!: 21.0ms (5.2% of total)
adjust: 1.0ms (0.2% of total)
Bogosity

preprocess48.0ms (1.7%)

Memory
-36.5MiB live, 10.3MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035104
111288
248184
3190784
4622284
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Compiler

Compiled 38 to 26 computations (31.6% saved)

series17.0ms (0.6%)

Memory
28.6MiB live, 28.6MiB 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:

TimeVariablePointExpression
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)

rewrite112.0ms (4.1%)

Memory
9.6MiB live, 152.2MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04543076
04682587
027582431
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
96 → 118
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 #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 (*.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)))))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(-.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))) (fma.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)))

eval15.0ms (0.5%)

Memory
-20.5MiB live, 25.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 940 to 688 computations (64.5% saved)

prune7.0ms (0.2%)

Memory
12.4MiB live, 12.4MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1168124
Fresh000
Picked101
Done000
Total1178125
Accuracy
100.0%
Counts
125 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)))
61.9%
(*.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 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) 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)))
62.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
97.7%
#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))
97.6%
#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))
75.6%
#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))
38.4%
#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 326 to 294 computations (9.8% saved)

series39.0ms (1.4%)

Memory
-2.0MiB live, 43.5MiB allocated; 3ms collecting garbage
Counts
36 → 221
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)
#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))
(*.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)
(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))
(/.f64 (-.f64 a #s(literal 1/3 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 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(-.f64 (*.f64 a a) #s(literal 1/9 binary64))
(*.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 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)
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 3 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ -1/3 rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (- (/ a rand) (* 1/3 (/ 1 rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (+ (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* a (- (* 3 (+ (* -3/2 (/ rand (sqrt -3))) (* 1/54 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))) (* 3 (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 -1/3))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (- (* a a) 1/9) #s(hole binary64 -1/9))
#s(approx (- (* a a) 1/9) #s(hole binary64 (- (pow a 2) 1/9)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ a 1/3) #s(hole binary64 1/3))
#s(approx (+ a 1/3) #s(hole binary64 (+ 1/3 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)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ a rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* -1/162 (* (sqrt (/ 1 (pow a 7))) 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)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (- (* a a) 1/9) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) 1/9) #s(hole binary64 (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))))
#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)) #s(hole binary64 a))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #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)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* -1 (/ (- (* -1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/3 (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))) a))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (/ (- (* a a) 1/9) (+ 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)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (/ (- (pow a 2) 1/9) (+ 1/3 a))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))))
#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 (* (- 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))))
#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 (- (+ (* (* 1/3 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- 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:

TimeVariablePointExpression
10.0ms
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))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ 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 (- a (/ 1 3)) (/ 1 3) 3)
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))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ 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 (- a (/ 1 3)) (/ 1 3) 3)
5.0ms
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))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ 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 (- a (/ 1 3)) (/ 1 3) 3)
4.0ms
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))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ 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 (- a (/ 1 3)) (/ 1 3) 3)
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)) (- 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))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ 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 (- a (/ 1 3)) (/ 1 3) 3)

rewrite209.0ms (7.6%)

Memory
5.4MiB live, 227.0MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010097917
010546710
162576397
080806077
Stop Event
iter-limit
node-limit
iter-limit
Counts
257 → 406
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)
#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))
(*.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)
(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))
(/.f64 (-.f64 a #s(literal 1/3 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 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(-.f64 (*.f64 a a) #s(literal 1/9 binary64))
(*.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 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)
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 3 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ -1/3 rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (- (/ a rand) (* 1/3 (/ 1 rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (+ (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* a (- (* 3 (+ (* -3/2 (/ rand (sqrt -3))) (* 1/54 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))) (* 3 (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 -1/3))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (- (* a a) 1/9) #s(hole binary64 -1/9))
#s(approx (- (* a a) 1/9) #s(hole binary64 (- (pow a 2) 1/9)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ a 1/3) #s(hole binary64 1/3))
#s(approx (+ a 1/3) #s(hole binary64 (+ 1/3 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)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ a rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* -1/162 (* (sqrt (/ 1 (pow a 7))) 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)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (- (* a a) 1/9) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) 1/9) #s(hole binary64 (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))))
#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)) #s(hole binary64 a))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #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)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* -1 (/ (- (* -1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/3 (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))) a))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (/ (- (* a a) 1/9) (+ 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)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (/ (- (pow a 2) 1/9) (+ 1/3 a))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))))
#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 (* (- 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))))
#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 (- (+ (* (* 1/3 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- 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
#s(approx (* (/ (- (* a a) 1/9) (+ 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))))
(/.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)))
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(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (-.f64 a #s(literal 1/3 binary64))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))) (+.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(/.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 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a))))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(-.f64 a #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(+.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(+.f64 a #s(literal -1/3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/81 binary64)) (fma.f64 a a #s(literal 1/9 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 a a) a)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 a a) (*.f64 a a) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 a a) #s(literal 1/9 binary64)))))
(neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) #s(literal -1/9 binary64))
(fma.f64 (neg.f64 a) (neg.f64 a) #s(literal -1/9 binary64))
(fma.f64 (fabs.f64 a) (fabs.f64 a) #s(literal -1/9 binary64))
(fma.f64 a a #s(literal -1/9 binary64))
(-.f64 (*.f64 a a) #s(literal 1/9 binary64))
(+.f64 (*.f64 a a) #s(literal -1/9 binary64))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))))
#s(literal 1/9 binary64)
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/3 binary64) a))
(/.f64 (fma.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 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 a a) a)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 1/3 binary64) a))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/3 binary64) a)
(+.f64 a #s(literal 1/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))) (*.f64 #s(literal 1 binary64) (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))))))
(fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) rand))
(+.f64 (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))))
(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)
(/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (pow.f64 #s(literal 9 binary64) #s(literal 1/2 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))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/2 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(literal 9 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))) (+.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(/.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 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a))))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(-.f64 a #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(+.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(+.f64 a #s(literal -1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 3 binary64)
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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) (fma.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 a (/.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #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) (-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64)))) #s(literal 1/48 binary64) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) #s(literal -1/24 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(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 a (/.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #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 -3 binary64) #s(literal -5/2 binary64)))) #s(literal 1/48 binary64) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) #s(literal -1/24 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 (sqrt.f64 #s(literal -1/3 binary64)) #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 -3 binary64) #s(literal -5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #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 a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) rand) a (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) rand (/.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 rand a)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))) a (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) rand (*.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64)))) #s(literal 1/48 binary64) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) #s(literal -1/24 binary64))) a)) a (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand)) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))) a (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))
#s(approx (/ (- a 1/3) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (-.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 a (*.f64 #s(literal 3 binary64) (-.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))))))) (*.f64 (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal 1/54 binary64) (*.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.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 a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (- (* a a) 1/9) #s(literal -1/9 binary64))
#s(approx (- (* a a) 1/9) (fma.f64 a a #s(literal -1/9 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (+ a 1/3) #s(literal 1/3 binary64))
#s(approx (+ a 1/3) (+.f64 #s(literal 1/3 binary64) 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 (fma.f64 (*.f64 a (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/6 binary64) (*.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (fma.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 -1/3 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 #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 (* 9 (- a (/ 1 3)))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #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 (* 9 (- a (/ 1 3)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal 3/8 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #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))) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 #s(literal -1/54 binary64) (pow.f64 a #s(literal -5/2 binary64))) rand (fma.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 binary64)) 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(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 #s(literal -1/216 binary64) (*.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (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 #s(literal -1/216 binary64) (*.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal -1/216 binary64) (fma.f64 (*.f64 (pow.f64 a #s(literal -7/2 binary64)) rand) #s(literal -1/1296 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a))
#s(approx (sqrt (- a 1/3)) (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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 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 (pow.f64 a #s(literal -7/2 binary64)) #s(literal -1/432 binary64) (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand) (/.f64 #s(literal 1/3 binary64) a))) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.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 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand (*.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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 (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a)))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (-.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 a #s(literal -5/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)))) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) a))
#s(approx (/ (- a 1/3) rand) (/.f64 a rand))
#s(approx (/ (- a 1/3) rand) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) a))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (-.f64 (+.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)) (*.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))) a))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/162 binary64) (pow.f64 a #s(literal -7/2 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 (pow.f64 a #s(literal -7/2 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 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)) (*.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))) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (* a a) 1/9) (*.f64 a a))
#s(approx (- (* a a) 1/9) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) (*.f64 a a)))
#s(approx (+ a 1/3) a)
#s(approx (+ a 1/3) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #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 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 binary64)) 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(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 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 (pow.f64 a #s(literal -7/2 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 binary64)) 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 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 (pow.f64 a #s(literal -7/2 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 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)) (pow.f64 a #s(literal -7/2 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/24 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/24 binary64) (fma.f64 (pow.f64 a #s(literal -7/2 binary64)) #s(literal -1/144 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 a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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) (*.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 (* (/ (- (* a a) 1/9) (+ 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 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1/18 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 (fma.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 (fma.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 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal -1/18 binary64) #s(literal -1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal 1/18 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64))) a)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.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) (fma.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 (pow.f64 a #s(literal -5/2 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) (fma.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 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal -7/2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1 binary64)) #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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1 binary64)) #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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 #s(literal 1/432 binary64) (pow.f64 a #s(literal -7/2 binary64))) #s(literal -1 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))) a)))
#s(approx (/ (- (* a a) 1/9) (+ 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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)) 1/3) (/ (- a 1/3) rand)) rand) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (neg.f64 (/.f64 (fma.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))) a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (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))) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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 (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 rand a)))) (/.f64 #s(literal 1 binary64) rand)) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal -1/18 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) a))) (/.f64 #s(literal 1 binary64) rand)) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal -1/216 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a)) #s(literal 1/18 binary64))) a)) (/.f64 #s(literal 1/3 binary64) rand)) a))) (/.f64 #s(literal 1 binary64) rand)) a)))
#s(approx (/ (- a 1/3) rand) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 rand a)) (/.f64 #s(literal 1 binary64) rand)) a)))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 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 -1/9 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 1/9 binary64))) a)) (*.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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 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 -1/9 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 1/9 binary64))))) a)) (neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 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 -1/9 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 1/9 binary64))) a)) (*.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 a) 1/9) (+ 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 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (*.f64 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)) (pow.f64 a #s(literal -5/2 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 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 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)) (pow.f64 a #s(literal -5/2 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 1/18 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #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 (*.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 (pow.f64 a #s(literal -5/2 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 #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 (* 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 (pow.f64 a #s(literal -5/2 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 #s(literal 1/432 binary64) (pow.f64 a #s(literal -7/2 binary64))) #s(literal 3 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 a) 1/9) (+ a 1/3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 (* 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) 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 (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (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))) rand))
#s(approx (/ (- a 1/3) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 1 (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 (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 (+ (* (* 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) 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 (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (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)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1/3 binary64) a) rand))) (/.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) rand))) rand))
#s(approx (+ 1 (* (/ 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 (* (/ 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 a) 1/9) (+ 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 (- (+ (* (* 1/3 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) 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 (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 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 (* (/ 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)))

eval50.0ms (1.8%)

Memory
-13.0MiB live, 91.8MiB allocated; 16ms collecting garbage
Compiler

Compiled 5 823 to 2 032 computations (65.1% saved)

prune20.0ms (0.7%)

Memory
-2.9MiB live, 43.7MiB allocated; 3ms collecting garbage
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New39317410
Fresh123
Picked325
Done000
Total39721418
Accuracy
100.0%
Counts
418 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1/3 binary64) a))
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)))
62.0%
(*.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand #s(literal 1 binary64)))
61.9%
(*.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(approx (+ a 1/3) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a))) (+.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%
#s(approx (* (/ (- (* a a) 1/9) (+ 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))))
32.2%
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
98.9%
#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 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
62.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.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))))
97.6%
#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))
51.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a)) rand)) rand))
97.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a))
38.4%
#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)))))
37.7%
#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))
38.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
38.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
62.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
61.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
1.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
97.7%
#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)))
37.7%
#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))))
Compiler

Compiled 969 to 897 computations (7.4% saved)

series33.0ms (1.2%)

Memory
12.7MiB live, 59.1MiB allocated; 3ms collecting garbage
Counts
29 → 245
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.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 a (-.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
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 (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(literal 1/3 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (/ (- (* a a) 1/9) (+ 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
#s(literal 1 binary64)
(*.f64 rand (-.f64 a #s(literal 1/3 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 a #s(hole binary64 a))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (- (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) 1/3)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))))) 1/3)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))))))) 1/3)))
#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 (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 a) 1/9) (+ a 1/3)) #s(hole binary64 -1/3))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ -1/3 rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (- (/ a rand) (* 1/3 (/ 1 rand)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3))) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (+ (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* a (- (* 3 (+ (* -3/2 (/ rand (sqrt -3))) (* 1/54 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))) (* 3 (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* rand (sqrt -1/3))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #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 (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt -3)))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* -9/2 (/ a (sqrt -3))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* -1/2 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* -1/3 rand)))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (+ (* -1/3 rand) (* 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* a (- (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))) (* 1/3 (/ 1 a))))))
#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 (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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ a rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3))) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* -1/162 (* (sqrt (/ 1 (pow a 7))) 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)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #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 (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* 1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))))))))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* a rand)))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* a (+ rand (* -1/3 (/ rand 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 (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a)))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))))))))
#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 (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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #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)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* -1/216 (* (sqrt (/ 1 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (sqrt -1) 2)))) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) (/ rand (pow (sqrt -1) 4)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* -1 (/ (- (* -1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/3 (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))) a))) (* 1/9 (+ 1 (* (sqrt (/ 1 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))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/18 (sqrt (/ 1 (pow a 5))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1 (/ (+ (* 1/18 (sqrt a)) (* 1/2 (* (sqrt (/ 1 a)) (+ 1/27 (* -1/36 a))))) (pow a 3))) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))))
#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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3)))
#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 rand #s(hole binary64 rand))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 a))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a))))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (/ (- (pow a 2) 1/9) (+ 1/3 a))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* rand (sqrt (- a 1/3)))))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* rand (- 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* rand (- (* 1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* 1/3 (* rand (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))) (/ a rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))))
#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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
a
@-inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (/ 1 (sqrt (- a 1/3))) 1 (* rand (- a 1/3)))
5.0ms
rand
@-inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (/ 1 (sqrt (- a 1/3))) 1 (* rand (- a 1/3)))
3.0ms
rand
@0
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (/ 1 (sqrt (- a 1/3))) 1 (* rand (- a 1/3)))
3.0ms
a
@inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (/ 1 (sqrt (- a 1/3))) 1 (* rand (- a 1/3)))
3.0ms
rand
@inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (/ 1 (sqrt (- a 1/3))) 1 (* rand (- a 1/3)))

rewrite233.0ms (8.4%)

Memory
7.7MiB live, 198.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010809552
011088070
168007734
089287237
Stop Event
iter-limit
node-limit
iter-limit
Counts
274 → 360
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.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 a (-.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
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 (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(literal 1/3 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (/ (- (* a a) 1/9) (+ 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
#s(literal 1 binary64)
(*.f64 rand (-.f64 a #s(literal 1/3 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 a #s(hole binary64 a))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (- (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) 1/3)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))))) 1/3)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))))))) 1/3)))
#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 (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 a) 1/9) (+ a 1/3)) #s(hole binary64 -1/3))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ -1/3 rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (- (/ a rand) (* 1/3 (/ 1 rand)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3))) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (+ (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* a (- (* 3 (+ (* -3/2 (/ rand (sqrt -3))) (* 1/54 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))) (* 3 (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* rand (sqrt -1/3))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #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 (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt -3)))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* -9/2 (/ a (sqrt -3))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* -1/2 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* -1/3 rand)))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (+ (* -1/3 rand) (* 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* a (- (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))) (* 1/3 (/ 1 a))))))
#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 (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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ a rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3))) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* -1/162 (* (sqrt (/ 1 (pow a 7))) 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)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #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 (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* 1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))))))))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* a rand)))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* a (+ rand (* -1/3 (/ rand 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 (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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 (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a)))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 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)))))))))
#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 (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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #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)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* -1/216 (* (sqrt (/ 1 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (/ rand (pow (sqrt -1) 2)))) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) (/ rand (pow (sqrt -1) 4)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) (/ 1 (pow (sqrt -1) 4)))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ 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 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* -1 (/ (- (* -1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/3 (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))) a))) (* 1/9 (+ 1 (* (sqrt (/ 1 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))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand))))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/18 (sqrt (/ 1 (pow a 5))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1 (/ (+ (* 1/18 (sqrt a)) (* 1/2 (* (sqrt (/ 1 a)) (+ 1/27 (* -1/36 a))))) (pow a 3))) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))))
#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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 -1/3))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3)))
#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 rand #s(hole binary64 rand))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 a))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a))))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (/ (- (pow a 2) 1/9) (+ 1/3 a))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) #s(hole binary64 (* rand (sqrt (- a 1/3)))))
#s(approx (* rand (- a 1/3)) #s(hole binary64 (* rand (- 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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* rand (- (* 1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* 1/3 (* rand (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))) (/ a rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))))
#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 (+ a (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3)) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (/ (- (pow a 2) 1/9) (+ 1/3 a)))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))))
Outputs
#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))))
(/.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 (*.f64 a a) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))) (-.f64 a (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #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)))))
(/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64))) (*.f64 a (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64))))))
(neg.f64 (-.f64 #s(literal 1/3 binary64) (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))) (-.f64 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 (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 (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 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a)
(+.f64 (*.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 a (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
a
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1/9 binary64)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))))
(neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.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))) #s(literal -1/3 binary64))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal -1/3 binary64))
(-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))
(+.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64))
(*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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))) (*.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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))) (+.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))))
(/.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 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a))))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(-.f64 a #s(literal 1/3 binary64))
(+.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (neg.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(+.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(+.f64 a #s(literal -1/3 binary64))
#s(literal 1/3 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (/ (- (* a a) 1/9) (+ 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(*.f64 rand #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (-.f64 (*.f64 (/.f64 a rand) (/.f64 a rand)) (*.f64 (/.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1/3 binary64) rand))) (+.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand)))
(/.f64 (-.f64 (pow.f64 (/.f64 a rand) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) rand) #s(literal 3 binary64))) (fma.f64 (/.f64 a rand) (/.f64 a rand) (fma.f64 (/.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1/3 binary64) rand) (*.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand)))))
(/.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 rand))
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) rand) (/.f64 a rand)))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) rand) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) rand))
(-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))
(+.f64 (/.f64 a rand) (neg.f64 (/.f64 #s(literal 1/3 binary64) rand)))
(+.f64 (/.f64 a rand) (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))))
(neg.f64 (-.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) (-.f64 a #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64))
(+.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal -1/3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) a))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) #s(literal 3 binary64)) (*.f64 (*.f64 a a) a)) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) a))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a)
(fma.f64 (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) (*.f64 rand #s(literal 1/3 binary64)) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) a)
(+.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))) a)
(+.f64 a (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(pow.f64 (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) #s(literal 1 binary64))
(pow.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) #s(literal 1/2 binary64)))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1/3 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(*.f64 (*.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1/3 binary64) a))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 rand (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand)) (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (+.f64 #s(literal 1/3 binary64) a))
#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 a) 1/9) (+ a 1/3)))) a) 1/3) (fma.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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 -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 a a)
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64)) (-.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))) a) #s(literal 1/3 binary64))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (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 -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) #s(literal 1/3 binary64))))
#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 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64)) (*.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)))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -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 -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 (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 -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 -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 -3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand) a (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (*.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))) a (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (*.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) rand) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a)) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) rand)) a) (/.f64 #s(literal 1/3 binary64) rand))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64) (-.f64 (*.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 -1/24 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) rand))) a) (/.f64 #s(literal 1/3 binary64) rand))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -3 binary64)) (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 1 binary64) rand))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))
#s(approx (/ (- a 1/3) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) (fma.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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 -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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ 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 -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 -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 -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 -3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (-.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.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 a (-.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 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)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 a (*.f64 #s(literal 3 binary64) (-.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) (-.f64 (+.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))))))) (*.f64 (+.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.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))) (* rand (- a 1/3))) 1/3) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64)) (*.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)))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- 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 -1/8 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 (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 a (/.f64 rand (pow.f64 #s(literal -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 (/ 1 (sqrt (- a 1/3))) (sqrt.f64 #s(literal -3 binary64)))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 binary64) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (fma.f64 (*.f64 a (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/2 binary64) (*.f64 #s(literal -9/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 #s(literal -9/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -3 binary64))))
#s(approx (* rand (- a 1/3)) (*.f64 #s(literal -1/3 binary64) rand))
#s(approx (* rand (- a 1/3)) (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.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 #s(literal -1/54 binary64) (pow.f64 a #s(literal -5/2 binary64))) rand (fma.f64 (*.f64 (pow.f64 a #s(literal -5/2 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 (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) 1/3) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) a))) a))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) 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 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (fma.f64 (*.f64 (pow.f64 a #s(literal -7/2 binary64)) rand) #s(literal -1/1296 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 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))) rand) #s(literal -1/6 binary64) (*.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))) rand) #s(literal -1/6 binary64) (fma.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 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))) rand) #s(literal -1/6 binary64) (fma.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 binary64)) rand (fma.f64 (*.f64 (pow.f64 a #s(literal -7/2 binary64)) #s(literal -1/432 binary64)) rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))) 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 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 (pow.f64 a #s(literal -7/2 binary64)) #s(literal -1/432 binary64) (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand) (/.f64 #s(literal 1/3 binary64) a))) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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 (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a)))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (-.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 #s(literal -1/216 binary64) (pow.f64 a #s(literal -5/2 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)))) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) a))
#s(approx (/ (- a 1/3) rand) (/.f64 a rand))
#s(approx (/ (- a 1/3) rand) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) 1/3) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) (*.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (fma.f64 (*.f64 (pow.f64 a #s(literal -7/2 binary64)) rand) #s(literal -1/1296 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a))
#s(approx (sqrt (- a 1/3)) (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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 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 (pow.f64 a #s(literal -7/2 binary64)) #s(literal -1/432 binary64) (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) 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 (+.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)) (*.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))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (-.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/162 binary64) (pow.f64 a #s(literal -7/2 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 (pow.f64 a #s(literal -7/2 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 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)) (*.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))) a))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) a))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) a))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 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 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/216 binary64)) rand (fma.f64 (*.f64 (pow.f64 a #s(literal -7/2 binary64)) rand) #s(literal -1/1296 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) a))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.f64 (sqrt.f64 a) rand))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)) a))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal -1/6 binary64) (fma.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 binary64)) rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))) a))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal -1/6 binary64) (fma.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/72 binary64)) rand (fma.f64 (*.f64 (pow.f64 a #s(literal -7/2 binary64)) #s(literal -1/432 binary64)) rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))) a))
#s(approx (/ 1 (sqrt (- a 1/3))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/18 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal -7/2 binary64))) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (* rand (- a 1/3)) (*.f64 rand a))
#s(approx (* rand (- a 1/3)) (*.f64 (fma.f64 (/.f64 rand a) #s(literal -1/3 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)))
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#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
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#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) rand (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1/3 binary64))) a)))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) rand (*.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal 1/216 binary64)))) a)))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) rand (fma.f64 (*.f64 (pow.f64 a #s(literal -7/2 binary64)) rand) #s(literal -1/1296 binary64) (*.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal 1/216 binary64))))) a)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (neg.f64 (*.f64 (fma.f64 (neg.f64 rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal -1/6 binary64))) a)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (neg.f64 (*.f64 (fma.f64 (neg.f64 rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) rand (*.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal 1/72 binary64)))) a)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (neg.f64 (*.f64 (fma.f64 (neg.f64 rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) rand (fma.f64 (*.f64 (pow.f64 a #s(literal -7/2 binary64)) #s(literal -1/432 binary64)) rand (*.f64 (*.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal 1/72 binary64))))) a)))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64))) (*.f64 (*.f64 a a) a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (* rand (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (/.f64 rand a) #s(literal 1/3 binary64) (neg.f64 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 a) 1/9) (+ a 1/3)))) a) 1/3) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) #s(literal -1/3 binary64))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)))
#s(approx (* (* (sqrt (- a 1/3)) rand) 1/3) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #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 rand rand)
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) 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 (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (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))) rand))
#s(approx (/ (- a 1/3) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) a)
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 (* (- 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 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand))
#s(approx (* rand (- a 1/3)) (*.f64 rand (-.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 (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 a) 1/9) (+ 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 (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) 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 (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (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)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 a) 1/9) (+ a 1/3)))) a) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ 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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (*.f64 a a) (*.f64 (+.f64 #s(literal 1/3 binary64) a) rand))) (/.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) a) rand))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (neg.f64 rand) (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)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) (*.f64 (neg.f64 rand) (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)))))
#s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) rand))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (neg.f64 rand) (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)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) 1/3) (*.f64 (neg.f64 rand) (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)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) a) (*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (neg.f64 rand) (fma.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))))

eval52.0ms (1.9%)

Memory
1.2MiB live, 55.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 6 034 to 2 007 computations (66.7% saved)

prune29.0ms (1%)

Memory
-13.7MiB live, 33.7MiB allocated; 1ms collecting garbage
Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New3568364
Fresh21214
Picked235
Done022
Total36025385
Accuracy
100.0%
Counts
385 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1/3 binary64) a))
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)))
62.0%
(*.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand #s(literal 1 binary64)))
61.9%
(*.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(approx (+ a 1/3) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a))) (+.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%
#s(approx (* (/ (- (* a a) 1/9) (+ 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))))
31.5%
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(approx (* rand (- a 1/3)) (*.f64 rand a))) #s(literal 1/3 binary64)))
37.7%
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))
38.4%
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
98.9%
#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 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
62.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a))
98.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a (-.f64 (*.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
97.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (neg.f64 rand)))))
97.6%
#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))
51.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a)) rand)) rand))
97.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a))
37.7%
#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))
38.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
38.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
38.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
37.1%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
62.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
61.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
1.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
97.7%
#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)))
Compiler

Compiled 1 149 to 1 066 computations (7.2% saved)

series24.0ms (0.9%)

Memory
34.9MiB live, 34.9MiB allocated; 0ms collecting garbage
Counts
29 → 149
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a))
(+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64))
(*.f64 rand #s(literal 1/3 binary64))
rand
#s(literal 1/3 binary64)
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.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))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 (* (+ (* (* 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)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand)
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand)))
(-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))
(/.f64 a rand)
(/.f64 #s(literal 1/3 binary64) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)
(fma.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) (sqrt.f64 a)) #s(literal 1/3 binary64))
(/.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))) -1/3) a) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #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))) -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))))))) 1/3)))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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))))))))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (- (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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)))))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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)))))))) 1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (- 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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 -1/3))
#s(approx (/ (- (* a a) 1/9) (+ 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) 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 (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (/ -1/3 rand)))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (- (/ a rand) (* 1/3 (/ 1 rand)))))
#s(approx (/ a rand) #s(hole binary64 (/ a rand)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (/ 1 (sqrt a)) 1/3) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#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))) -1/3) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #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))) -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))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* a (- (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* a (- (+ (* -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))) -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)))) (* 1/3 (/ 1 a))))))
#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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 a))
#s(approx (/ (- (* a a) 1/9) (+ 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (/ a rand)))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 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))) -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))) -1/3) a) #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))) -1/3) a) #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))) -1/3) a) #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))) -1/3) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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)))))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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)))))))))
#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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #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)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 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 (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #s(hole binary64 (- a 1/3)))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt (- a 1/3)))) 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (/ 1/3 rand) #s(hole binary64 (/ 1/3 rand)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 a))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 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))) -1/3) a) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #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))) -1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* rand (- (* 1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #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))) -1/3) #s(hole binary64 (* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))))
#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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (* -1 (/ (+ 1/3 (* -1 a)) rand))))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
a
@-inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (- a 1/3) a -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 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) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- (/ a rand) (/ 1/3 rand)) (/ a rand) (/ 1/3 rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (* (/ 1 (sqrt a)) 1/3) (/ 1 (sqrt a)) 1)
4.0ms
a
@0
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (- a 1/3) a -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 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) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- (/ a rand) (/ 1/3 rand)) (/ a rand) (/ 1/3 rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (* (/ 1 (sqrt a)) 1/3) (/ 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))) -1/3) a) (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (- a 1/3) a -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 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) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- (/ a rand) (/ 1/3 rand)) (/ a rand) (/ 1/3 rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (* (/ 1 (sqrt a)) 1/3) (/ 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))) -1/3) a) (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (- a 1/3) a -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 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) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- (/ a rand) (/ 1/3 rand)) (/ a rand) (/ 1/3 rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (* (/ 1 (sqrt a)) 1/3) (/ 1 (sqrt a)) 1)
3.0ms
rand
@0
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (* rand 1/3) rand 1/3 (sqrt (- a 1/3)) (- a 1/3) a -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 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) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- (/ a rand) (/ 1/3 rand)) (/ a rand) (/ 1/3 rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (* (/ 1 (sqrt a)) 1/3) (/ 1 (sqrt a)) 1)

rewrite148.0ms (5.4%)

Memory
2.7MiB live, 142.6MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06614755
06894119
039793937
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
178 → 260
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a))
(+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64))
(*.f64 rand #s(literal 1/3 binary64))
rand
#s(literal 1/3 binary64)
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.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))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 (* (+ (* (* 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)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand)
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand)))
(-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))
(/.f64 a rand)
(/.f64 #s(literal 1/3 binary64) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)
(fma.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) (sqrt.f64 a)) #s(literal 1/3 binary64))
(/.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))) -1/3) a) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #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))) -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))))))) 1/3)))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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))))))))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (- (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3)))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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)))))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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)))))))) 1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (- 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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 -1/3))
#s(approx (/ (- (* a a) 1/9) (+ 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) 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 (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (/ -1/3 rand)))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (- (/ a rand) (* 1/3 (/ 1 rand)))))
#s(approx (/ a rand) #s(hole binary64 (/ a rand)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (/ 1 (sqrt a)) 1/3) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#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))) -1/3) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #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))) -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))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* a (- (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* a (- (+ (* -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))) -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)))) (* 1/3 (/ 1 a))))))
#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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 a))
#s(approx (/ (- (* a a) 1/9) (+ 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (/ a rand)))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 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))) -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))) -1/3) a) #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))) -1/3) a) #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))) -1/3) a) #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))) -1/3) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* -1 (* a (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a)))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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)))))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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)))))))))
#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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) 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)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #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)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 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 (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #s(hole binary64 (- a 1/3)))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 -1/3))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt (- a 1/3)))) 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (/ 1/3 rand) #s(hole binary64 (/ 1/3 rand)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 a))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 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))) -1/3) a) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #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))) -1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(hole binary64 (* rand (- (* 1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) #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))) -1/3) #s(hole binary64 (* -1 (* rand (+ (* -1/3 (sqrt (- a 1/3))) (* 1/3 (/ 1 rand)))))))
#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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (- (/ a rand) (/ 1/3 rand)) #s(hole binary64 (* -1 (/ (+ 1/3 (* -1 a)) rand))))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 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))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (fma.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)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) (*.f64 a a)) (-.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (fma.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) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 a a) a)) (fma.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a))))
(neg.f64 (-.f64 #s(literal 1/3 binary64) (fma.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) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) (+.f64 #s(literal -1/3 binary64) a))
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64))
(+.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal -1/3 binary64))
(+.f64 (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a)
(+.f64 a (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #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))) #s(literal 1/9 binary64)) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) #s(literal 1/3 binary64)))
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(neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64))
(fma.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal -1/3 binary64))
(-.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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.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)
rand
#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 (*.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 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(-.f64 a #s(literal 1/3 binary64))
(+.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))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a))
(/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (*.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 a a) a)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a))))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) a)
(-.f64 a (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a)
(+.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 a) rand)
(*.f64 rand (sqrt.f64 a))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
(*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(*.f64 rand #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (-.f64 (*.f64 (/.f64 a rand) (/.f64 a rand)) (*.f64 (/.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1/3 binary64) rand))) (+.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand)))
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(/.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 rand))
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(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) rand) (/.f64 a rand)))
(-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))
(+.f64 (/.f64 a rand) (neg.f64 (/.f64 #s(literal 1/3 binary64) rand)))
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(/.f64 (neg.f64 a) (neg.f64 rand))
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(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand))
(/.f64 #s(literal -1/3 binary64) (neg.f64 rand))
(/.f64 #s(literal 1/3 binary64) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64)) a))
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(fma.f64 a #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #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 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
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(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(/.f64 #s(literal 1/3 binary64) (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))) -1/3) a) (fma.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))) -1/3) a) (-.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))) -1/3) a) (-.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))) -1/3) a) (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))) -1/3) (fma.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))) -1/3) (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/6 binary64) (fma.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))) -1/3) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) (-.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))) a) #s(literal 1/3 binary64))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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))) a) #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 (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#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 (sqrt a) (sqrt.f64 a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) rand) a (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) 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 -1/24 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) rand)) a (*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) rand (*.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) rand) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a)) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (+.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 -1/24 binary64) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand)) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (+.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (- (/ a rand) (/ 1/3 rand)) (/.f64 #s(literal -1/3 binary64) rand))
#s(approx (- (/ a rand) (/ 1/3 rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (/ a rand) (/.f64 a rand))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a))
#s(approx (* (/ 1 (sqrt a)) 1/3) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
#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 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64)) a) #s(literal -1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #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 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))))) #s(literal 1 binary64)) a))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64)) a))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand) (/.f64 #s(literal 1/3 binary64) a))) a))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (*.f64 (-.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))) (/.f64 #s(literal 1/3 binary64) a)) 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 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) #s(literal -1/432 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 a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64)) a))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64)) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) rand)) rand) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) rand)) rand) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) rand)) rand) (/.f64 #s(literal 1/3 binary64) a))) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.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 1/3 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) rand)) rand (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) rand)) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) rand)) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a)))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (-.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 #s(literal 1 binary64) rand)))) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) a))
#s(approx (- (/ a rand) (/ 1/3 rand)) (/.f64 a rand))
#s(approx (- (/ a rand) (/ 1/3 rand)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) a))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #s(literal 1 binary64)) a))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand #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))) (*.f64 (neg.f64 a) (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))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (neg.f64 a) (+.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))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (neg.f64 a) (+.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))))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 #s(literal -1 binary64) rand) #s(literal -1 binary64))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 #s(literal -1 binary64) rand) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (*.f64 (neg.f64 a) (-.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 #s(literal -1 binary64) rand) (neg.f64 (/.f64 (fma.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))))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (*.f64 (neg.f64 a) (-.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.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))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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))) -1/3) (*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 #s(literal -1 binary64) rand) (/.f64 #s(literal 1/3 binary64) a))))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 #s(literal -1 binary64) rand) (neg.f64 (/.f64 (fma.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(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.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(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (*.f64 (neg.f64 a) (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))))))
#s(approx (sqrt (- a 1/3)) (*.f64 (neg.f64 a) (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)))))))
#s(approx (sqrt (- a 1/3)) (*.f64 (neg.f64 a) (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))))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64))))
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) (*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (*.f64 #s(literal -1 binary64) rand) #s(literal -1 binary64))))
#s(approx (* (sqrt a) rand) (neg.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64))))
#s(approx (sqrt a) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand) a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (neg.f64 a) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (/.f64 #s(literal 1/3 binary64) a))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (neg.f64 a) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand (neg.f64 (/.f64 (fma.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(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (neg.f64 a) (fma.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) rand)) 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(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (neg.f64 a) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (neg.f64 a) (-.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 rand a))) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (neg.f64 a) (-.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal -1/18 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) a))) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (neg.f64 a) (-.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal -1/216 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a)) #s(literal 1/18 binary64))) a)) (/.f64 #s(literal 1/3 binary64) rand)) a))) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (- (/ a rand) (/ 1/3 rand)) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 rand a)) (/.f64 #s(literal 1 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))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) #s(literal -1/3 binary64))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #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 (sqrt a)) 1/3)) 1) a) a)
#s(approx (+ (* (* (sqrt a) rand) 1/3) a) a)
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)) rand))
#s(approx (- (/ a rand) (/ 1/3 rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (/ 1/3 rand) (/.f64 #s(literal 1/3 binary64) rand))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) a)
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (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))) -1/3) a) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) a) (*.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))) -1/3) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (*.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 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 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) 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 (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (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)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.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 (+ (+ (* (* rand 1/3) (sqrt (- a 1/3))) -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 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ (* (* rand 1/3) (sqrt (- a 1/3))) -1/3) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (/.f64 (neg.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) (/.f64 (neg.f64 a) rand)) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) 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 (- (/ a rand) (/ 1/3 rand)) (neg.f64 (/.f64 (+.f64 (neg.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (/.f64 (neg.f64 a) rand)) rand)))
#s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))

eval32.0ms (1.2%)

Memory
-6.1MiB live, 38.1MiB allocated; 15ms collecting garbage
Compiler

Compiled 3 175 to 1 209 computations (61.9% saved)

prune34.0ms (1.2%)

Memory
-18.4MiB live, 27.8MiB allocated; 6ms collecting garbage
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New2284232
Fresh21315
Picked145
Done145
Total23225257
Accuracy
100.0%
Counts
257 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1/3 binary64) a))
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)))
62.0%
(*.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand #s(literal 1 binary64)))
61.9%
(*.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) #s(approx (+ a 1/3) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a))) (+.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%
#s(approx (* (/ (- (* a a) 1/9) (+ 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))))
31.5%
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(approx (* rand (- a 1/3)) (*.f64 rand a))) #s(literal 1/3 binary64)))
37.7%
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.f64 (sqrt.f64 a) rand)) #s(literal 1/3 binary64)))
38.4%
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
98.9%
#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 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
62.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a))
98.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) a))
51.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a)) rand)) rand))
97.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a))
37.7%
#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))
38.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
38.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
38.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
37.1%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
37.7%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)) a))
62.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
61.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
1.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
97.7%
#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) #s(literal 1/3 binary64)) rand a)))
97.7%
#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 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
Compiler

Compiled 1 037 to 799 computations (23% saved)

regimes42.0ms (1.5%)

Memory
33.0MiB live, 33.0MiB allocated; 0ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.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 (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.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) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) 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) #s(literal 1/3 binary64)) rand 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.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 #s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (neg.f64 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) 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)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a (-.f64 (*.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
#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 (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 a) 1/9) (+ 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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.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))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (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))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(approx (* rand (- a 1/3)) (*.f64 rand 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 (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
#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 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a)) rand)) rand))
(*.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 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1/3 binary64) a))
(*.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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)) #s(approx (+ a 1/3) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a))) (+.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)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64)) a))
Calls

4 calls:

10.0ms
rand
10.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
10.0ms
a
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)))
Results
AccuracySegmentsBranch
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%1a
99.8%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes34.0ms (1.2%)

Memory
-14.5MiB live, 32.9MiB allocated; 2ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.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 (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.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) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) 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) #s(literal 1/3 binary64)) rand 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.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 #s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (neg.f64 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) 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)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a (-.f64 (*.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
#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 (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 a) 1/9) (+ 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))))
Outputs
#s(approx (* (/ (- (* a a) 1/9) (+ 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))))
Calls

4 calls:

6.0ms
rand
6.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
6.0ms
a
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)))
Results
AccuracySegmentsBranch
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%1a
99.8%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes68.0ms (2.5%)

Memory
-17.5MiB live, 37.3MiB allocated; 5ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.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 (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.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) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) 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) #s(literal 1/3 binary64)) rand 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.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 #s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (neg.f64 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) 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)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a (-.f64 (*.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
#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 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
Calls

4 calls:

49.0ms
a
6.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
6.0ms
rand
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)))
Results
AccuracySegmentsBranch
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%1a
99.8%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes44.0ms (1.6%)

Memory
-7.3MiB live, 38.5MiB allocated; 4ms collecting garbage
Counts
21 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.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 (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.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) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) 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) #s(literal 1/3 binary64)) rand 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.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 #s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (neg.f64 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) 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)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a (-.f64 (*.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
#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))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a (-.f64 (*.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
Calls

4 calls:

25.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
6.0ms
rand
6.0ms
a
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)))
Results
AccuracySegmentsBranch
98.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
98.9%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)))
98.9%1a
98.9%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes26.0ms (0.9%)

Memory
1.6MiB live, 45.4MiB allocated; 7ms collecting garbage
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.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 (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.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) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) 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) #s(literal 1/3 binary64)) rand 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.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 #s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (neg.f64 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) 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)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) a))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) a))
Calls

4 calls:

9.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
6.0ms
rand
5.0ms
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)))
Results
AccuracySegmentsBranch
98.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
98.9%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)))
98.9%1a
98.9%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes24.0ms (0.9%)

Memory
11.1MiB live, 55.2MiB allocated; 4ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.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 (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.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) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) 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) #s(literal 1/3 binary64)) rand 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.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 #s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (neg.f64 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
Calls

4 calls:

8.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms
a
5.0ms
rand
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)))
Results
AccuracySegmentsBranch
98.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
98.9%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)))
98.9%1a
98.9%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes75.0ms (2.7%)

Memory
-18.4MiB live, 59.0MiB allocated; 92ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.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 (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.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) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) 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) #s(literal 1/3 binary64)) rand 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))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) 1/3) (*.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 #s(approx (+ (* rand (* (/ 1 (sqrt a)) 1/3)) 1) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(approx (- (* (* (sqrt (- a 1/3)) rand) 1/3) 1/3) (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)) (neg.f64 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))) 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) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)))
Calls

4 calls:

59.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms
a
5.0ms
rand
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)))
Results
AccuracySegmentsBranch
97.7%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)))
97.7%1rand
97.7%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
97.7%1a
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes18.0ms (0.6%)

Memory
-15.6MiB live, 34.6MiB allocated; 5ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.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 (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.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) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) 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 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
Calls

4 calls:

8.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms
rand
3.0ms
a
3.0ms
(*.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
AccuracySegmentsBranch
97.7%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)))
97.7%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
97.7%1a
97.7%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes12.0ms (0.4%)

Memory
30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (* (/ 1 (sqrt (- a 1/3))) (* rand (- a 1/3))) (*.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 (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) 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) 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 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
Calls

4 calls:

3.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms
rand
3.0ms
a
3.0ms
(*.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
AccuracySegmentsBranch
65.8%3(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
86.7%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)))
65.8%3a
94.3%3rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes10.0ms (0.4%)

Memory
-24.3MiB live, 20.7MiB allocated; 4ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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 #s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) 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:

4.0ms
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)))
2.0ms
a
Results
AccuracySegmentsBranch
62.5%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
62.5%1a
62.5%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
62.5%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes6.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) 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
rand
1.0ms
a
Results
AccuracySegmentsBranch
61.3%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
61.3%1a
61.3%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
61.3%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes5.0ms (0.2%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
Calls

4 calls:

1.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms
rand
1.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
a
Results
AccuracySegmentsBranch
1.5%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.5%1a
1.5%1rand
1.5%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Compiler

Compiled 26 to 23 computations (11.5% saved)

bsearch23.0ms (0.8%)

Memory
-3.2MiB live, 43.3MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.5761585754710204e+92
7.591647116934989e+93
11.0ms
-7.923562607765629e+48
-8.922962345623126e+47
Samples
12.0ms208×0valid
Compiler

Compiled 621 to 590 computations (5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div!: 3.0ms (36.9% of total)
ival-mult!: 3.0ms (36.9% of total)
ival-sqrt: 2.0ms (24.6% of total)
ival-sub!: 1.0ms (12.3% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

derivations233.0ms (8.4%)

Memory
-8.8MiB live, 181.4MiB allocated; 17ms collecting garbage
Stop Event
fuel
Compiler

Compiled 141 to 78 computations (44.7% saved)

preprocess92.0ms (3.3%)

Memory
3.7MiB live, 195.1MiB allocated; 15ms collecting garbage
Compiler

Compiled 160 to 91 computations (43.1% saved)

end0.0ms (0%)

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

Profiling

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