Octave 3.8, oct_fill_randg

Time bar (total: 3.6s)

start0.0ms (0%)

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

analyze12.0ms (0.3%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms 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)

sample1.0s (28.9%)

Memory
-21.4MiB live, 1 192.6MiB allocated; 372ms collecting garbage
Samples
715.0ms8 256×0valid
25.0ms474×0invalid
Precisions
Click to see histograms. Total time spent on operations: 467.0ms
ival-mult!: 210.0ms (44.9% of total)
ival-div!: 130.0ms (27.8% of total)
ival-sqrt: 80.0ms (17.1% of total)
ival-sub!: 26.0ms (5.6% of total)
ival-add!: 20.0ms (4.3% of total)
adjust: 2.0ms (0.4% of total)
Bogosity

preprocess39.0ms (1.1%)

Memory
-20.0MiB live, 25.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035104
112190
235388
3124688
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 (0.5%)

Memory
35.0MiB live, 35.0MiB allocated; 0ms collecting garbage
Counts
13 → 80
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
#s(literal 9 binary64)
rand
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 -3))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* 9 a)))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
Calls

6 calls:

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)

rewrite152.0ms (4.3%)

Memory
7.8MiB live, 139.5MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04513028
04652539
027122386
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
93 → 113
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
#s(literal 9 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 -3))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* 9 a)))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
Outputs
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)))
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)))
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) (-.f64 a #s(literal 1/3 binary64))))
(+.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) rand))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)
(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))
#s(literal 9 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) a (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (+.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (fma.f64 (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 81/4 binary64) a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (* 9 (- a (/ 1 3))) #s(literal -3 binary64))
#s(approx (* 9 (- a (/ 1 3))) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))))) #s(literal 1 binary64)) a))
#s(approx (- a (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/18 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a))
#s(approx (* 9 (- a (/ 1 3))) (*.f64 #s(literal 9 binary64) a))
#s(approx (* 9 (- a (/ 1 3))) (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (neg.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal -1/6 binary64) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) a)) (neg.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (*.f64 rand #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (*.f64 rand #s(literal 1/3 binary64))))) a))) a)) (neg.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (- a (/ 1 3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 1/3 binary64)) #s(literal -1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #s(literal 1/18 binary64))) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) #s(literal 3 binary64)) #s(literal 1/432 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a)))
#s(approx (* 9 (- a (/ 1 3))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx rand rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))

eval31.0ms (0.9%)

Memory
-30.5MiB live, 17.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 871 to 651 computations (65.2% saved)

prune7.0ms (0.2%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9710107
Fresh000
Picked101
Done000
Total9810108
Accuracy
100.0%
Counts
108 → 10
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)))
34.4%
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))))) rand)))
99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
99.7%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 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)))
61.9%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
98.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
98.9%
#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))
76.3%
#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))
40.1%
#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 422 to 380 computations (10% saved)

series26.0ms (0.7%)

Memory
28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Counts
31 → 126
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 1 binary64) rand)
rand
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 9 binary64)
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
(sqrt.f64 a)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 -3))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (/ 1 (sqrt a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (/ 1 (sqrt a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* 1 rand) #s(hole binary64 rand))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
a
@-inf
((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))
3.0ms
a
@inf
((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))
3.0ms
rand
@-inf
((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))
3.0ms
a
@0
((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))
3.0ms
rand
@0
((* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (* 1 rand) rand (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (- a 1/3) 1/3 9 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (* (/ 1 (sqrt a)) rand) (/ 1 (sqrt a)) (sqrt a) (* (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (- a 1/3)) (+ (* (/ 1 (sqrt (* (- a 1/3) 9))) rand) 1) (/ 1 (sqrt (* (- a 1/3) 9))))

rewrite185.0ms (5.2%)

Memory
-14.0MiB live, 130.2MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07054684
07493773
042793613
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
157 → 246
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 1 binary64) rand)
rand
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 9 binary64)
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)
(*.f64 #s(literal 1/3 binary64) rand)
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
(sqrt.f64 a)
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 -3))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (/ 1 (sqrt a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (/ 1 (sqrt a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 1))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* 1 rand) #s(hole binary64 rand))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9))))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (/ (* 1 rand) (sqrt (* (- a 1/3) 9)))) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
Outputs
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(+.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) rand))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand)
(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
rand
rand
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 9 binary64)
(*.f64 #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) (-.f64 a #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 a (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (-.f64 a (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a))
(/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 a (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 a a) a)) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) a)
(-.f64 a (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) a)
(+.f64 a (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) rand)
(*.f64 rand #s(literal 1/3 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand)) (neg.f64 (sqrt.f64 #s(literal -9 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a)
(*.f64 a (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
(fma.f64 a #s(literal 1 binary64) (*.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(+.f64 (*.f64 a #s(literal 1 binary64)) (*.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) a) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64))
(fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (*.f64 #s(literal 1/3 binary64) rand)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 a))))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)
(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
(/.f64 rand (sqrt.f64 a))
(pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(+.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) #s(literal 1 binary64)) (-.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) rand #s(literal 1 binary64))
(fma.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))) rand))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) a (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (+.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (fma.f64 (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (* (- a 1/3) 9) #s(literal -3 binary64))
#s(approx (* (- a 1/3) 9) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (*.f64 rand a) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/24 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)) (-.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) rand) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (+.f64 (fma.f64 (/.f64 (*.f64 rand a) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/24 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) rand) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a)))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 #s(literal -1/3 binary64)))
#s(approx (sqrt (- a 1/3)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a))
#s(approx (* (/ 1 (sqrt a)) rand) (/.f64 rand (sqrt.f64 a)))
#s(approx (/ 1 (sqrt a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 81/4 binary64) a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))))) #s(literal 1 binary64)) a))
#s(approx (- a (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal -1/24 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a))
#s(approx (* (- a 1/3) 9) (*.f64 #s(literal 9 binary64) a))
#s(approx (* (- a 1/3) 9) (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (*.f64 (-.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a))
#s(approx (sqrt (- a 1/3)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (*.f64 (+.f64 (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/18 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (neg.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal -1/6 binary64))) a)) (neg.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1/18 binary64)))) a))) a)) (neg.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a)))
#s(approx (- a (/ 1 3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand))) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/18 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand))) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a)))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a)))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) #s(literal 3 binary64)) #s(literal 1/432 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a)))
#s(approx (* (- a 1/3) 9) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64))) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal 1/18 binary64) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal -1/216 binary64))) a)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/18 binary64) (-.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/18 binary64) (-.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1 binary64)) #s(literal 1/1296 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/18 binary64) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal -1 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/432 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))) a)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 1/3 binary64)) #s(literal -1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* (- a 1/3) 9))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/2 binary64))) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (/ (* 1 rand) (sqrt (* (- a 1/3) 9))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64)))
#s(approx (* 1 rand) rand)
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a))
#s(approx (* 1/3 rand) (*.f64 #s(literal 1/3 binary64) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))

eval40.0ms (1.1%)

Memory
-12.2MiB live, 33.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 3 270 to 1 173 computations (64.1% saved)

prune11.0ms (0.3%)

Memory
21.8MiB live, 21.8MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New22212234
Fresh415
Picked505
Done000
Total23113244
Accuracy
100.0%
Counts
244 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))))
61.9%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
99.8%
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
1.4%
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
99.0%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
98.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a))
40.1%
#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)))))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
99.0%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
75.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
Compiler

Compiled 590 to 548 computations (7.1% saved)

series46.0ms (1.3%)

Memory
-17.1MiB live, 43.5MiB allocated; 36ms collecting garbage
Counts
29 → 116
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
(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)))
(*.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))
a
#s(literal 1/3 binary64)
rand
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
(/.f64 a rand)
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (* (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 #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt a))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt a)) (/ a rand))))
#s(approx (/ a rand) #s(hole binary64 (/ a rand)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 -3))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (* (- a (/ 1 3)) (+ 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 (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (* (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 (* 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 (- 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 (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (* (- a (/ 1 3)) (+ 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 (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (* (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 (+ 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 (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 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 (+ 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 (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) rand)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #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 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
Calls

6 calls:

TimeVariablePointExpression
28.0ms
a
@-inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) a 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) 9)
3.0ms
rand
@-inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) a 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) 9)
3.0ms
a
@inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) a 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) 9)
3.0ms
rand
@0
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) a 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) 9)
3.0ms
a
@0
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (- a 1/3) a 1/3 rand (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) -1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) 1 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (/ a rand) (* (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (- a 1/3)) (+ (/ rand (sqrt (* (- a 1/3) 9))) 1) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) 9)

rewrite168.0ms (4.7%)

Memory
14.8MiB live, 104.0MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06564237
06903775
039533578
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
145 → 196
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
(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)))
(*.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))
a
#s(literal 1/3 binary64)
rand
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
(/.f64 a rand)
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64))
(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (* (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 #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt a))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt a)) (/ a rand))))
#s(approx (/ a rand) #s(hole binary64 (/ a rand)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 -3))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (* (- a (/ 1 3)) (+ 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 (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (* (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 (* 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 (- 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 (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (* (- a (/ 1 3)) (+ 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 (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (* (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 (+ 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 (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) #s(hole binary64 (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* (- a 1/3) 9)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* (- a 1/3) 9) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 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 (+ 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 (+ (* (sqrt a) 1/3) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) rand)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) #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 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) (+.f64 #s(literal 1/9 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (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 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(+.f64 a (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
rand
(*.f64 #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)) #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)))
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
(/.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (-.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (*.f64 a a)) (-.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a))
(/.f64 (fma.f64 (*.f64 a a) a (pow.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))) (*.f64 a (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 a a) a)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (-.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) a))))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(fma.f64 (sqrt.f64 a) (*.f64 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))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(*.f64 rand (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)))
(fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand (*.f64 (/.f64 a rand) rand))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) (*.f64 (/.f64 a rand) rand))
(fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) (*.f64 (/.f64 a rand) rand))
(fma.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (*.f64 rand (/.f64 a rand)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand) (*.f64 (/.f64 a rand) rand))
(+.f64 (*.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (*.f64 rand (/.f64 a rand)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)) (*.f64 (/.f64 a rand) rand))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) (*.f64 (/.f64 a rand) (/.f64 a rand))) (-.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (/.f64 a rand)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 a rand) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (-.f64 (*.f64 (/.f64 a rand) (/.f64 a rand)) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (/.f64 a rand)))))
(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))
(+.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) (/.f64 a rand))
(+.f64 (/.f64 a rand) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 a) (neg.f64 rand))
(/.f64 a rand)
(*.f64 (+.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)))) #s(literal 1 binary64)) (-.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))))
(/.f64 (neg.f64 rand) (neg.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))))
(/.f64 rand (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) a (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (+.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (fma.f64 (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (-.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)) (-.f64 (*.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) rand) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a) #s(literal 1/3 binary64))))
#s(approx (* (sqrt (- a 1/3)) rand) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
#s(approx (* (sqrt (- a 1/3)) rand) (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)))
#s(approx (* (sqrt (- a 1/3)) rand) (fma.f64 (fma.f64 (/.f64 (*.f64 rand a) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)))
#s(approx (* (sqrt (- a 1/3)) rand) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) rand) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 #s(literal -1/3 binary64)))
#s(approx (sqrt (- a 1/3)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (sqrt a) rand) (*.f64 (sqrt.f64 a) rand))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)))
#s(approx (/ a rand) (/.f64 a rand))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 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 (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 3/16 binary64)) (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (* (- a 1/3) 9) #s(literal -3 binary64))
#s(approx (* (- a 1/3) 9) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 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 (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (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 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/72 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 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/72 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/432 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))) a))
#s(approx (sqrt (- a 1/3)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (*.f64 (+.f64 (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (fma.f64 (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 (/ 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand) a))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) a))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal -1/24 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a))
#s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) (fma.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a))
#s(approx (* (- a 1/3) 9) (*.f64 #s(literal 9 binary64) a))
#s(approx (* (- a 1/3) 9) (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a))
#s(approx (* (- a (/ 1 3)) (+ 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 1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (*.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)))))) a))) a)) (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)) #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* (sqrt (- a 1/3)) rand) 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 (* (sqrt (- a 1/3)) rand) (neg.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64))))
#s(approx (* (sqrt (- a 1/3)) rand) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64))) a)))
#s(approx (* (sqrt (- a 1/3)) rand) (neg.f64 (*.f64 a (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64)))))))
#s(approx (* (sqrt (- a 1/3)) rand) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1 binary64)) #s(literal 1/432 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal -1 binary64))))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/432 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))) a)))
#s(approx (- a (/ 1 3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (*.f64 a a) a))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))))) #s(literal 1 binary64)))
#s(approx (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand) a)))
#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) a)))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (*.f64 a a) a))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))) a)))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64)))) a)))
#s(approx (sqrt (* (- a 1/3) 9)) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) #s(literal 3 binary64)) #s(literal 1/432 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 3 binary64))))) a)))
#s(approx (* (- a 1/3) 9) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (sqrt (- a 1/3)) rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand))
#s(approx rand rand)
#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 (+ (* (sqrt a) 1/3) (/ a rand)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) rand))
#s(approx (/ rand (sqrt (* (- a 1/3) 9))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (neg.f64 (/.f64 a rand))) rand)))

eval39.0ms (1.1%)

Memory
-3.1MiB live, 41.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 847 to 1 056 computations (62.9% saved)

prune22.0ms (0.6%)

Memory
-24.1MiB live, 26.7MiB allocated; 15ms collecting garbage
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1762178
Fresh088
Picked235
Done000
Total17813191
Accuracy
100.0%
Counts
191 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.1%
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))))
61.9%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
99.8%
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
1.4%
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
99.0%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
98.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a))
40.1%
#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)))))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
98.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
Compiler

Compiled 545 to 507 computations (7% saved)

series24.0ms (0.7%)

Memory
26.9MiB live, 71.1MiB allocated; 6ms collecting garbage
Counts
28 → 99
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
rand
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#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)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(*.f64 #s(literal 1/3 binary64) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a)
(fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(/.f64 rand (sqrt.f64 a))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (* rand (sqrt -3))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt -3)))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* -9/2 (/ a (sqrt -3))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* -1/2 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))))
#s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (/ rand (sqrt a)) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* 1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- 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 (- a 1/3))) rand) 1/3) 1) #s(hole binary64 (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) #s(hole binary64 (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/18 (sqrt (/ 1 (pow a 5))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1 (/ (+ (* 1/18 (sqrt a)) (* 1/2 (* (sqrt (/ 1 a)) (+ 1/27 (* -1/36 a))))) (pow a 3))) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (* (* (sqrt a) rand) 1/3) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))))
#s(approx (* (- 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 (- a 1/3))) rand) #s(hole binary64 (* rand (sqrt (/ 1 (- a 1/3))))))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (/ rand (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 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
Calls

6 calls:

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

rewrite381.0ms (10.7%)

Memory
18.6MiB live, 206.5MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06053677
06373278
037013091
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
127 → 166
Calls
Call 1
Inputs
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
rand
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#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)))))
(*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(*.f64 #s(literal 1/3 binary64) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a)
(fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(/.f64 rand (sqrt.f64 a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (* rand (sqrt -3))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt -3)))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* -9/2 (/ a (sqrt -3))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* -1/2 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt -3) (* a (- (* a (+ (* -1/2 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 9/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))))
#s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (/ rand (sqrt a)) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* 1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (* 1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* 1/18 (sqrt (/ 1 (pow a 5)))) (+ (* 1/6 (sqrt (/ 1 (pow a 3)))) (* 1/2 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- 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 (- a 1/3))) rand) 1/3) 1) #s(hole binary64 (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) #s(hole binary64 (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3)))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/18 (sqrt (/ 1 (pow a 5))))))))
#s(approx (/ 1 (sqrt (- a 1/3))) #s(hole binary64 (+ (sqrt (/ 1 a)) (+ (* -1 (/ (+ (* 1/18 (sqrt a)) (* 1/2 (* (sqrt (/ 1 a)) (+ 1/27 (* -1/36 a))))) (pow a 3))) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (* (* (sqrt a) rand) 1/3) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))))
#s(approx (* (- 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 (- a 1/3))) rand) #s(hole binary64 (* rand (sqrt (/ 1 (- a 1/3))))))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (/ rand (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 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
Outputs
(*.f64 #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand)))
(+.f64 (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 rand #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)))) rand)
(*.f64 rand (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
rand
(*.f64 #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(*.f64 rand (sqrt.f64 a))
(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 (*.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 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a)
(*.f64 a (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 a)) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 a)))
(/.f64 rand (sqrt.f64 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 (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 #s(literal -9/2 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (*.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (*.f64 #s(literal -9/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand)))
#s(approx (/ 1 (sqrt (- a 1/3))) (sqrt.f64 #s(literal -3 binary64)))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -9/2 binary64) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 81/4 binary64) a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal -81/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (sqrt.f64 #s(literal -3 binary64))))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 #s(literal -1/3 binary64)))
#s(approx (sqrt (- a 1/3)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (/.f64 a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (* (sqrt a) rand) (*.f64 (sqrt.f64 a) rand))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (fma.f64 (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) (*.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 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 rand (pow.f64 #s(literal -1/3 binary64) #s(literal 5/2 binary64)))) #s(literal 1/48 binary64) (/.f64 (*.f64 #s(literal -1/24 binary64) rand) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (*.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a))
#s(approx (/ rand (sqrt a)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))))) #s(literal 1 binary64)) a))
#s(approx (- 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 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/54 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/18 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/6 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (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)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/18 binary64) (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))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal 1/18 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) #s(literal 1/6 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 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))))
#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 (sqrt.f64 (pow.f64 a #s(literal -5 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 (pow.f64 a #s(literal -5 binary64))) #s(literal 1/18 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/2 binary64) (*.f64 (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 (sqrt (- a 1/3)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (*.f64 (+.f64 (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (sqrt (- a 1/3)) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) a))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand))) a))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64)))) a))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/216 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1/1296 binary64))))) a))
#s(approx (* (- 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 1/18 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (*.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)))))) a))) a)) (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))) a)))
#s(approx (- a (/ 1 3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal -1/6 binary64) (fma.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 (*.f64 a a) a))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))))) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) (+.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand))) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) (+.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/54 binary64)))) #s(literal 1 binary64)))
#s(approx (+ (* (* (/ 1 (sqrt (- a 1/3))) rand) 1/3) 1) (+.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/54 binary64) (sqrt.f64 a)) rand (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand))) (*.f64 (*.f64 a a) a))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) rand)))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64)) rand (fma.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (*.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (*.f64 (*.f64 (sqrt.f64 a) rand) #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 -1/6 binary64)) rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand))))
#s(approx (/ 1 (sqrt (- a 1/3))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (/ 1 (sqrt (- a 1/3))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a))) #s(literal -1/6 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 a))) (*.f64 (*.f64 a a) a)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a))))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 a #s(literal -7 binary64)))) #s(literal 1/432 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)))))) a)))
#s(approx (* (* (sqrt a) rand) 1/3) (*.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (sqrt a) rand) (neg.f64 (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal -1 binary64))))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1 binary64) rand) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/18 binary64))) a)))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1 binary64) rand) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/18 binary64)))) a)))
#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -5 binary64))) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 a #s(literal -7 binary64))) rand) #s(literal -1 binary64)) #s(literal 1/1296 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64)) (*.f64 #s(literal -1 binary64) rand) (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a a) a)))) #s(literal 1/18 binary64))))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (- a 1/3))) rand) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand))
#s(approx rand rand)
#s(approx (* (* 1/3 rand) (sqrt (- 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) (*.f64 rand #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.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 (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) rand)))
#s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 a) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (+ (* (/ rand (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)))

eval22.0ms (0.6%)

Memory
1.2MiB live, 46.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 537 to 927 computations (63.5% saved)

prune23.0ms (0.6%)

Memory
-13.9MiB live, 30.5MiB allocated; 8ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New1537160
Fresh325
Picked145
Done123
Total15815173
Accuracy
100.0%
Counts
173 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.0%
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))))
99.8%
(*.f64 (-.f64 a #s(literal 1/3 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))))
61.9%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
99.8%
(*.f64 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
1.4%
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
99.0%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
98.9%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a))
40.1%
#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)))
40.1%
#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)))))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (/ rand (sqrt a)) 1/3) 1) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64))) a))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
99.0%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
39.4%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
Compiler

Compiled 694 to 484 computations (30.3% saved)

regimes57.0ms (1.6%)

Memory
-12.9MiB live, 79.7MiB allocated; 29ms collecting garbage
Counts
32 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (/ rand (sqrt a)) 1/3) 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 (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (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 (+.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (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)) #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))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #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)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) rand) (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (/.f64 (-.f64 (*.f64 (*.f64 a a) a) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))))) rand)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
Calls

4 calls:

26.0ms
a
13.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
8.0ms
rand
8.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
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)

regimes48.0ms (1.3%)

Memory
8.5MiB live, 53.6MiB allocated; 5ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (/ rand (sqrt a)) 1/3) 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:

31.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
5.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms
rand
5.0ms
a
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)

regimes840.0ms (23.5%)

Memory
-126.8MiB live, 85.7MiB allocated; 1.2s collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (/ rand (sqrt a)) 1/3) 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 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
Calls

4 calls:

797.0ms
(*.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)))
32.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms
rand
5.0ms
a
Results
AccuracySegmentsBranch
99.0%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
99.0%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)))
99.0%1a
99.0%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes18.0ms (0.5%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(approx (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
Calls

4 calls:

4.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms
a
4.0ms
rand
4.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Results
AccuracySegmentsBranch
99.0%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
99.0%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)))
99.0%1a
99.0%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes24.0ms (0.7%)

Memory
-18.4MiB live, 27.0MiB allocated; 6ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
Calls

4 calls:

15.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
3.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms
rand
3.0ms
a
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)

regimes13.0ms (0.4%)

Memory
-9.9MiB live, 35.7MiB allocated; 4ms collecting garbage
Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
Calls

4 calls:

3.0ms
rand
2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
a
Results
AccuracySegmentsBranch
64.3%2(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
84.5%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)))
64.3%2a
94.6%3rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes3.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)))))
Calls

1 calls:

2.0ms
rand
Results
AccuracySegmentsBranch
94.6%3rand
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* (/ 1 (sqrt a)) rand) 1/3) 1) a) (*.f64 #s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
Calls

1 calls:

2.0ms
rand
Results
AccuracySegmentsBranch
94.6%3rand
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
Calls

4 calls:

1.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
a
1.0ms
rand
Results
AccuracySegmentsBranch
61.9%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
61.9%1a
61.9%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)))
61.9%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes7.0ms (0.2%)

Memory
-26.7MiB live, 18.2MiB allocated; 5ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

4.0ms
a
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)))
Results
AccuracySegmentsBranch
1.4%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.4%1a
1.4%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.4%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

bsearch33.0ms (0.9%)

Memory
12.8MiB live, 69.5MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
8.761244017596907e+31
2.31448709862581e+33
20.0ms
-2.4153593548627774e+132
-7.557070080296726e+108
Samples
18.0ms288×0valid
Compiler

Compiled 833 to 828 computations (0.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult!: 7.0ms (57.7% of total)
ival-sqrt: 2.0ms (16.5% of total)
ival-sub!: 1.0ms (8.2% of total)
ival-add!: 1.0ms (8.2% of total)
ival-div!: 1.0ms (8.2% of total)
adjust: 0.0ms (0% of total)

bsearch3.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.761244017596907e+31
2.31448709862581e+33
2.0ms
-2.4153593548627774e+132
-7.557070080296726e+108
Compiler

Compiled 888 to 872 computations (1.8% saved)

bsearch3.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
8.761244017596907e+31
2.31448709862581e+33
2.0ms
-2.4153593548627774e+132
-7.557070080296726e+108
Compiler

Compiled 923 to 900 computations (2.5% saved)

derivations173.0ms (4.8%)

Memory
-31.2MiB live, 204.4MiB allocated; 19ms collecting garbage
Stop Event
fuel
Compiler

Compiled 142 to 73 computations (48.6% saved)

preprocess69.0ms (1.9%)

Memory
37.5MiB live, 226.9MiB allocated; 18ms collecting garbage
Compiler

Compiled 161 to 86 computations (46.6% saved)

end0.0ms (0%)

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

Profiling

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