Octave 3.8, oct_fill_randg

Time bar (total: 2.8s)

start0.0ms (0%)

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

analyze19.0ms (0.7%)

Memory
-26.9MiB live, 19.9MiB allocated; 9ms 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)

sample962.0ms (34%)

Memory
60.6MiB live, 1 211.0MiB allocated; 281ms collecting garbage
Samples
591.0ms8 256×0valid
32.0ms518×0invalid
Precisions
Click to see histograms. Total time spent on operations: 320.0ms
ival-mult!: 106.0ms (33.1% of total)
ival-div!: 93.0ms (29.1% of total)
ival-sqrt: 68.0ms (21.3% of total)
ival-sub!: 33.0ms (10.3% of total)
ival-add!: 19.0ms (5.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

preprocess51.0ms (1.8%)

Memory
-22.4MiB live, 22.9MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035104
114987
264184
3310284
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Compiler

Compiled 38 to 26 computations (31.6% saved)

series17.0ms (0.6%)

Memory
31.7MiB live, 31.7MiB 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)
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 (* 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)

rewrite82.0ms (2.9%)

Memory
-28.9MiB live, 76.1MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04513028
04652930
112502930
Stop Event
saturated
iter-limit
unsound
iter-limit
Counts
93 → 93
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 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 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 #s(literal 1/3 binary64))))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 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)))
#s(literal 9 binary64)
rand
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))))))))
#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
#s(approx (- a (/ 1 3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 a (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 a (-.f64 (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 a (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 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 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (fma.f64 #s(literal -1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))))
#s(approx (- a (/ 1 3)) (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
#s(approx (* 9 (- a (/ 1 3))) (*.f64 #s(literal 9 binary64) a))
#s(approx (* 9 (- a (/ 1 3))) (*.f64 a (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a))))))
#s(approx (- a (/ 1 3)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a)))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a)))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* 9 (- a (/ 1 3))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 9 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand (-.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 #s(literal -1 binary64) (*.f64 rand (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) rand)))))

eval9.0ms (0.3%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 933 to 607 computations (68.6% saved)

prune5.0ms (0.2%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689
Accuracy
100.0%
Counts
89 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)))
66.7%
(*.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%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
98.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
34.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
Compiler

Compiled 246 to 228 computations (7.3% saved)

series30.0ms (1.1%)

Memory
-3.3MiB live, 41.3MiB allocated; 5ms collecting garbage
Counts
31 → 154
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
(-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
a
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(literal 1/3 binary64)
(*.f64 rand (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))
(*.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)))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.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)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 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)))
#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 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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)))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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)))))))))))
#s(approx a #s(hole binary64 a))
#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))) #s(hole binary64 (* rand (sqrt -1/3))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))))
#s(approx (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 (+ 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (sqrt (/ 1 a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (sqrt (/ 1 a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) 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)) (* 1/3 (* (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 (* rand (sqrt (- a 1/3))) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (- a 1/3) #s(hole binary64 (* a (- 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 (+ (* 1/18 (* (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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ a (* 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))))) 1)))))
#s(approx (+ a (* 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)))))) 1)))))
#s(approx (+ a (* 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))))))) 1)))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) #s(hole binary64 (* -1/3 (* (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 (* rand (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* rand (sqrt (- a 1/3))) #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 (* rand (sqrt (- a 1/3))) #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 (* rand (sqrt (- a 1/3))) #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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
#s(approx (* 1/3 (* (sqrt (/ 1 a)) rand)) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (/ 1 a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 a)) #s(hole binary64 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
#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 (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* rand (sqrt (- a 1/3))) #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 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a 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 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #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 (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
a
@-inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) a (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3 (* rand (sqrt (- a 1/3))) rand (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (/ 1 a) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 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)
3.0ms
a
@inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) a (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3 (* rand (sqrt (- a 1/3))) rand (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (/ 1 a) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 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)
3.0ms
a
@0
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) a (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3 (* rand (sqrt (- a 1/3))) rand (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (/ 1 a) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 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)
3.0ms
rand
@-inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) a (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3 (* rand (sqrt (- a 1/3))) rand (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (/ 1 a) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 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)
3.0ms
rand
@0
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) a (* 1/3 (* rand (sqrt (- a 1/3)))) 1/3 (* rand (sqrt (- a 1/3))) rand (sqrt (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (/ 1 a) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 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)

rewrite88.0ms (3.1%)

Memory
-2.3MiB live, 89.6MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07755681
08105500
121415500
Stop Event
saturated
iter-limit
unsound
iter-limit
Counts
185 → 185
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
(-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
a
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(literal 1/3 binary64)
(*.f64 rand (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))
(*.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)))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.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)) #s(literal 1 binary64))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 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)))
#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 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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)))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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)))))))))))
#s(approx a #s(hole binary64 a))
#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))) #s(hole binary64 (* rand (sqrt -1/3))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))))
#s(approx (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 (+ 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (sqrt (/ 1 a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#s(approx (sqrt (/ 1 a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) 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)) (* 1/3 (* (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 (* rand (sqrt (- a 1/3))) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (- a 1/3) #s(hole binary64 (* a (- 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 (+ (* 1/18 (* (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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ a (* 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))))) 1)))))
#s(approx (+ a (* 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)))))) 1)))))
#s(approx (+ a (* 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))))))) 1)))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) #s(hole binary64 (* -1/3 (* (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 (* rand (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* rand (sqrt (- a 1/3))) #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 (* rand (sqrt (- a 1/3))) #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 (* rand (sqrt (- a 1/3))) #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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
#s(approx (* 1/3 (* (sqrt (/ 1 a)) rand)) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (/ 1 a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 a)) #s(hole binary64 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
#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 (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* rand (sqrt (- a 1/3))) #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 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a 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 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #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 (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
(-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
a
(*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(literal 1/3 binary64)
(*.f64 rand (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))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
(-.f64 a #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#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))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
(*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 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)))
#s(literal 9 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))) #s(literal 1/3 binary64)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))) #s(literal 1/3 binary64)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))) #s(literal 1/3 binary64)))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))))
#s(approx a a)
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (* rand (sqrt (- a 1/3))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (* rand (sqrt (- a 1/3))) (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (* rand (sqrt (- a 1/3))) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 #s(literal -1/3 binary64)))
#s(approx (sqrt (- a 1/3)) (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))))))
#s(approx (sqrt (- a 1/3)) (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (sqrt (- a 1/3)) (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 a (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (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 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))) a))
#s(approx (* (sqrt (/ 1 a)) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
#s(approx (sqrt (/ 1 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))))))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 a (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 a (-.f64 (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (* 9 (- a 1/3))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (sqrt (* 9 (- a 1/3))) (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (sqrt (* 9 (- a 1/3))) (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 a (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 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 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (fma.f64 #s(literal -1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 a (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 a (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 a (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal -1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal -1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) rand))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal -1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
#s(approx (sqrt (- a 1/3)) (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))))))
#s(approx (sqrt (- a 1/3)) (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
#s(approx (sqrt (- a 1/3)) (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))))
#s(approx (- a 1/3) (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
#s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a))
#s(approx (* 9 (- a 1/3)) (*.f64 a (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) a) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) a)) #s(literal 1/3 binary64)) a) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))))
#s(approx (sqrt (- a 1/3)) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (sqrt (- a 1/3)) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
#s(approx (sqrt (- a 1/3)) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (sqrt (- a 1/3)) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (- a 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a)))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
#s(approx (* 1/3 (* (sqrt (/ 1 a)) rand)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (/ 1 a)) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (sqrt (/ 1 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a)))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* 9 (- a 1/3)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 9 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#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)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand (-.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1 binary64) (/.f64 a rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 #s(literal -1 binary64) (*.f64 rand (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1 binary64) (/.f64 a rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal -1 binary64) (*.f64 rand (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) rand)))))

eval21.0ms (0.7%)

Memory
-12.2MiB live, 32.9MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 106 to 1 204 computations (70.7% saved)

prune8.0ms (0.3%)

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

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1958203
Fresh101
Picked145
Done000
Total19712209
Accuracy
100.0%
Counts
209 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)))
99.0%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)))
99.0%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)))
66.7%
(*.f64 (-.f64 a #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))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
72.2%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))) #s(literal 1/3 binary64)))
98.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
33.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
34.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
33.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
98.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
70.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))))
Compiler

Compiled 476 to 444 computations (6.7% saved)

series21.0ms (0.7%)

Memory
-8.1MiB live, 38.0MiB allocated; 3ms collecting garbage
Counts
33 → 102
Calls
Call 1
Inputs
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand))
#s(literal 1 binary64)
(*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
(*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a))))
(sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))
#s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a))
(*.f64 #s(literal 9 binary64) a)
#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 (- 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 (* 1/3 (sqrt (/ 1 a))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (sqrt (/ 1 a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #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 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (sqrt (/ 1 a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#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 (* 9 a) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- 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 (+ (* 1/18 (* (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 (+ (* 1/18 (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 (* 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 (* 1/3 (sqrt (/ 1 a))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 a)) #s(hole binary64 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
#s(approx (+ a (* 1/3 (* (sqrt a) rand))) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (* 1/3 (* (sqrt a) rand)) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
#s(approx (* 1/3 (* (sqrt (/ 1 a)) rand)) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (/ 1 a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
#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 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
rand
@inf
((* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (- a 1/3) a 1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (* 1/3 (sqrt (/ 1 a))) (sqrt (/ 1 a)) (/ 1 a) 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))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ a (* 1/3 (* (sqrt a) rand))) (* 1/3 (* (sqrt a) rand)) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (sqrt (* 9 (- a 1/3))) (* 9 (- a 1/3)) (* 9 a) 9)
4.0ms
a
@-inf
((* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (- a 1/3) a 1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (* 1/3 (sqrt (/ 1 a))) (sqrt (/ 1 a)) (/ 1 a) 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))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ a (* 1/3 (* (sqrt a) rand))) (* 1/3 (* (sqrt a) rand)) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (sqrt (* 9 (- a 1/3))) (* 9 (- a 1/3)) (* 9 a) 9)
3.0ms
rand
@-inf
((* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (- a 1/3) a 1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (* 1/3 (sqrt (/ 1 a))) (sqrt (/ 1 a)) (/ 1 a) 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))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ a (* 1/3 (* (sqrt a) rand))) (* 1/3 (* (sqrt a) rand)) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (sqrt (* 9 (- a 1/3))) (* 9 (- a 1/3)) (* 9 a) 9)
3.0ms
a
@0
((* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (- a 1/3) a 1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (* 1/3 (sqrt (/ 1 a))) (sqrt (/ 1 a)) (/ 1 a) 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))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ a (* 1/3 (* (sqrt a) rand))) (* 1/3 (* (sqrt a) rand)) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (sqrt (* 9 (- a 1/3))) (* 9 (- a 1/3)) (* 9 a) 9)
2.0ms
a
@inf
((* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (- a 1/3) a 1/3 (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (* 1/3 (sqrt (/ 1 a))) (sqrt (/ 1 a)) (/ 1 a) 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))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ a (* 1/3 (* (sqrt a) rand))) (* 1/3 (* (sqrt a) rand)) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (* (sqrt (/ 1 a)) rand)) (* (sqrt (/ 1 a)) rand) (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand)) (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (/ 1 (sqrt (* 9 (- a 1/3)))) (sqrt (* 9 (- a 1/3))) (* 9 (- a 1/3)) (* 9 a) 9)

rewrite55.0ms (2%)

Memory
34.3MiB live, 80.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05263744
05573643
114223643
Stop Event
saturated
iter-limit
unsound
iter-limit
Counts
135 → 135
Calls
Call 1
Inputs
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand))
#s(literal 1 binary64)
(*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
(*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a))))
(sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))
#s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a))
(*.f64 #s(literal 9 binary64) a)
#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 (- 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 (* 1/3 (sqrt (/ 1 a))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (sqrt (/ 1 a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (/ 1 a) #s(hole binary64 (/ 1 a)))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #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 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (* (sqrt (/ 1 a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) rand)))
#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 (* 9 a) #s(hole binary64 (* 9 a)))
#s(approx (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- 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 (+ (* 1/18 (* (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 (+ (* 1/18 (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 (* 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 (* 1/3 (sqrt (/ 1 a))) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 a)) #s(hole binary64 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
#s(approx (+ a (* 1/3 (* (sqrt a) rand))) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (* 1/3 (* (sqrt a) rand)) #s(hole binary64 (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt a) rand) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
#s(approx (* 1/3 (* (sqrt (/ 1 a)) rand)) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
#s(approx (* (sqrt (/ 1 a)) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
#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 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
Outputs
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)))
(-.f64 a #s(literal 1/3 binary64))
a
#s(literal 1/3 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand))
#s(literal 1 binary64)
(*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))))
(+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))
(*.f64 (sqrt.f64 a) rand)
(sqrt.f64 a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
(*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a))))
(sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))
#s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a))
(*.f64 #s(literal 9 binary64) a)
#s(literal 9 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))))))))
#s(approx (- a 1/3) #s(literal -1/3 binary64))
#s(approx (- a 1/3) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))))))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 a (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 a (-.f64 (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -3 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -3 binary64))))))))
#s(approx (* 1/3 (sqrt (/ 1 a))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
#s(approx (sqrt (/ 1 a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
#s(approx (/ 1 a) (/.f64 #s(literal 1 binary64) a))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))))
#s(approx (* (sqrt a) rand) (*.f64 (sqrt.f64 a) rand))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))) a))
#s(approx (* (sqrt (/ 1 a)) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (* 9 (- a 1/3))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (sqrt (* 9 (- a 1/3))) (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (sqrt (* 9 (- a 1/3))) (fma.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 a (-.f64 (*.f64 #s(literal 3/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 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 (* 9 a) (*.f64 #s(literal 9 binary64) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (fma.f64 #s(literal -1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))))
#s(approx (- a 1/3) (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
#s(approx (* 9 (- a 1/3)) (*.f64 a (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a))))))
#s(approx (- a 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a)))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a)))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (* 1/3 (sqrt (/ 1 a))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (sqrt (/ 1 a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (+ a (* 1/3 (* (sqrt a) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (* 1/3 (* (sqrt a) rand)) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(approx (* (sqrt a) rand) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(approx (sqrt a) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
#s(approx (* 1/3 (* (sqrt (/ 1 a)) rand)) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(approx (* (sqrt (/ 1 a)) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))))
#s(approx (sqrt (* 9 (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))))
#s(approx (* 9 (- a 1/3)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 9 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a 1/3)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand (-.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 #s(literal -1 binary64) (*.f64 rand (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1 binary64) (/.f64 a rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))))
#s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal -1 binary64) (*.f64 rand (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) rand)))))

eval18.0ms (0.6%)

Memory
-21.6MiB live, 26.5MiB allocated; 8ms collecting garbage
Compiler

Compiled 2 138 to 762 computations (64.4% saved)

prune6.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New1121113
Fresh033
Picked055
Done044
Total11213125
Accuracy
100.0%
Counts
125 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)))
99.0%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)))
99.0%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)))
66.7%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
1.5%
(*.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
72.2%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))) #s(literal 1/3 binary64)))
98.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
33.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
34.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
33.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
98.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
70.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))))
Compiler

Compiled 298 to 278 computations (6.7% saved)

series23.0ms (0.8%)

Memory
-12.8MiB live, 32.6MiB allocated; 4ms collecting garbage
Counts
25 → 133
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
rand
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))
#s(literal 1/3 binary64)
(sqrt.f64 a)
a
(/.f64 a rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))
(*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))) #s(literal 1/3 binary64)))
(-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))) #s(literal 1/3 binary64))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a #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)
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 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt a))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt a)) (/ a rand))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ a rand) #s(hole binary64 (/ a rand)))
#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))) #s(hole binary64 (* rand (sqrt -1/3))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))))
#s(approx (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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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)))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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)))))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt -1/3))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand)))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand)))))))
#s(approx (- a 1/3) #s(hole binary64 -1/3))
#s(approx (- a 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#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 (* rand (sqrt (- a 1/3))) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))))
#s(approx (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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))))
#s(approx (- 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 (* (- 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 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
#s(approx (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) #s(hole binary64 (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) #s(hole binary64 (* -1/3 (* (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 (* rand (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* rand (sqrt (- a 1/3))) #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 (* rand (sqrt (- a 1/3))) #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 (* rand (sqrt (- a 1/3))) #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 (* 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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ a (* 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))))) 1)))))
#s(approx (+ a (* 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)))))) 1)))))
#s(approx (+ a (* 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))))))) 1)))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) (/ 1 rand))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) (/ 1 rand))))))
#s(approx (- 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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx rand #s(hole binary64 rand))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) rand)))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* rand (sqrt (- a 1/3)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a 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
6.0ms
a
@-inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) rand (+ (* 1/3 (sqrt a)) (/ a rand)) 1/3 (sqrt a) a (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 (* rand (sqrt (- a 1/3)))) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (sqrt (- a 1/3)) (- a 1/3) (* (- 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)
3.0ms
a
@inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) rand (+ (* 1/3 (sqrt a)) (/ a rand)) 1/3 (sqrt a) a (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 (* rand (sqrt (- a 1/3)))) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (sqrt (- a 1/3)) (- a 1/3) (* (- 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)
3.0ms
rand
@-inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) rand (+ (* 1/3 (sqrt a)) (/ a rand)) 1/3 (sqrt a) a (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 (* rand (sqrt (- a 1/3)))) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (sqrt (- a 1/3)) (- a 1/3) (* (- 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)
3.0ms
a
@0
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) rand (+ (* 1/3 (sqrt a)) (/ a rand)) 1/3 (sqrt a) a (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 (* rand (sqrt (- a 1/3)))) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (sqrt (- a 1/3)) (- a 1/3) (* (- 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)
2.0ms
rand
@inf
((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) rand (+ (* 1/3 (sqrt a)) (/ a rand)) 1/3 (sqrt a) a (/ a rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 (* rand (sqrt (- a 1/3)))) (* rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (sqrt (- a 1/3)) (- a 1/3) (* (- 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)

rewrite71.0ms (2.5%)

Memory
4.4MiB live, 49.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07175239
07355068
120335068
Stop Event
saturated
iter-limit
unsound
iter-limit
Counts
158 → 160
Calls
Call 1
Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
rand
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))
#s(literal 1/3 binary64)
(sqrt.f64 a)
a
(/.f64 a rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))
(*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))) #s(literal 1/3 binary64)))
(-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))) #s(literal 1/3 binary64))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a #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(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 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt a))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt a)) (/ a rand))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx a #s(hole binary64 a))
#s(approx (/ a rand) #s(hole binary64 (/ a rand)))
#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))) #s(hole binary64 (* rand (sqrt -1/3))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))))
#s(approx (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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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)))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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)))))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt -1/3))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand)))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand)))))))
#s(approx (- a 1/3) #s(hole binary64 -1/3))
#s(approx (- a 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#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 (* rand (sqrt (- a 1/3))) #s(hole binary64 (* (sqrt a) rand)))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))))
#s(approx (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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- 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))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* -1/1296 (sqrt (/ 1 (pow a 7)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))))
#s(approx (- 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 (* (- 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 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
#s(approx (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) #s(hole binary64 (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) #s(hole binary64 (* -1/3 (* (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 (* rand (sqrt (- a 1/3))) #s(hole binary64 (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))))
#s(approx (* rand (sqrt (- a 1/3))) #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 (* rand (sqrt (- a 1/3))) #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 (* rand (sqrt (- a 1/3))) #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 (* 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 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ a (* 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))))) 1)))))
#s(approx (+ a (* 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)))))) 1)))))
#s(approx (+ a (* 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))))))) 1)))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) #s(hole binary64 (* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))) (/ 1 rand))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))) (/ 1 rand))))))
#s(approx (- 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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx rand #s(hole binary64 rand))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) rand)))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* rand (sqrt (- a 1/3))) #s(hole binary64 (* rand (sqrt (- a 1/3)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (/ (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) #s(hole binary64 (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a 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
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
rand
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) (/.f64 a rand))
#s(literal 1/3 binary64)
(sqrt.f64 a)
a
(/.f64 a rand)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
(*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))
(*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))) #s(literal 1/3 binary64)))
(-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))) #s(literal 1/3 binary64))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand))
(+.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 a rand))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(-.f64 a #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))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))))))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx a a)
#s(approx (/ a rand) (/.f64 a rand))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (* rand (sqrt (- a 1/3))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (* rand (sqrt (- a 1/3))) (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (* rand (sqrt (- a 1/3))) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 #s(literal -1/3 binary64)))
#s(approx (sqrt (- a 1/3)) (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))))))
#s(approx (sqrt (- a 1/3)) (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (sqrt (- a 1/3)) (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 a (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/3 binary64)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))) #s(literal 1/3 binary64)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))) #s(literal 1/3 binary64)))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))) #s(literal 1/3 binary64)))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (*.f64 rand (+.f64 (/.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 rand (+.f64 (/.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 a (fma.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 a rand) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) (*.f64 rand (+.f64 (/.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 #s(literal -1/24 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) rand))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (-.f64 (*.f64 #s(literal 1/48 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) rand))))))
#s(approx (- a 1/3) #s(literal -1/3 binary64))
#s(approx (- a 1/3) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 a rand) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 a (*.f64 rand (+.f64 #s(literal 81 binary64) (*.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 rand (+.f64 #s(literal 27 binary64) (*.f64 #s(literal 81/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -3 binary64)))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) a) (fma.f64 #s(literal -1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))))
#s(approx (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (*.f64 a (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal -1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) rand))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal -1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (sqrt (- a 1/3)) (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))))))
#s(approx (sqrt (- a 1/3)) (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
#s(approx (sqrt (- a 1/3)) (*.f64 a (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 a (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 a (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 a (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal -1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand)))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal -1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) rand) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 a (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand)))))))
#s(approx (- a 1/3) (*.f64 a (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/54 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) rand) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (-.f64 #s(literal 1/27 binary64) (*.f64 #s(literal 1/36 binary64) a)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))) a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))) a))))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (* rand (+ (* 1/3 (sqrt a)) (/ a rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (*.f64 rand (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) rand))))))
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (sqrt a) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))))
#s(approx (sqrt (- a 1/3)) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
#s(approx (sqrt (- a 1/3)) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
#s(approx (sqrt (- a 1/3)) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/432 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a))) #s(literal 1 binary64)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) #s(literal 1/3 binary64)) a) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) a)) #s(literal 1/3 binary64)) a) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) #s(literal 1 binary64)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) #s(literal 1 binary64)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))) #s(literal 1 binary64)))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 rand (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) rand)))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 rand (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) rand))))))))
#s(approx (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand))) (*.f64 #s(literal -1 binary64) (*.f64 a (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 rand (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 rand (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) rand)))))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 #s(literal -1/216 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/1296 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (- a 1/3) (*.f64 #s(literal -1 binary64) (*.f64 a (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (fma.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 a) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 #s(literal 1/27 binary64) (*.f64 #s(literal -1/36 binary64) a)))) (sqrt.f64 #s(literal -9 binary64)))))) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
#s(approx rand rand)
#s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand))) rand))
#s(approx (* 1/3 (* rand (sqrt (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* rand (sqrt (- a 1/3))) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (/.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) 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)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand (-.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
#s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1 binary64) (/.f64 a rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))))))
#s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 #s(literal -1 binary64) (*.f64 rand (fma.f64 #s(literal -1 binary64) (/.f64 a rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 #s(literal -1 binary64) (*.f64 rand (-.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) rand)))))

eval14.0ms (0.5%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 909 to 958 computations (67.1% saved)

prune87.0ms (3.1%)

Memory
-29.0MiB live, 17.0MiB allocated; 3ms collecting garbage
Pruning

15 alts after pruning (3 fresh and 12 done)

PrunedKeptTotal
New1323135
Fresh000
Picked134
Done099
Total13315148
Accuracy
100.0%
Counts
148 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)))
99.0%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)))
99.0%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)))
66.7%
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
1.5%
(*.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) #s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64)))
99.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
33.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))) #s(literal 1/3 binary64)))
98.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
33.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
34.5%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
33.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
98.3%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
70.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))))
70.6%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand)))))))
33.8%
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
Compiler

Compiled 601 to 477 computations (20.6% saved)

regimes56.0ms (2%)

Memory
-11.8MiB live, 36.9MiB allocated; 53ms collecting garbage
Counts
19 → 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
(*.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))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 a rand)))) #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a 1/3)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) rand)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* 9 (- a 1/3)) (*.f64 #s(literal 9 binary64) a)))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) rand)))))))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)))
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) 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)))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))) #s(literal 1/3 binary64)))
Calls

4 calls:

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

regimes16.0ms (0.6%)

Memory
24.5MiB live, 24.5MiB allocated; 0ms collecting garbage
Counts
10 → 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
(*.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))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 #s(approx (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 a) (/.f64 a rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 a #s(approx (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)))))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (+.f64 a (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 a) rand)))))
Calls

4 calls:

5.0ms
rand
3.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms
a
3.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
Results
AccuracySegmentsBranch
98.3%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
98.3%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
98.3%1a
98.3%1rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes10.0ms (0.3%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Counts
6 → 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
(*.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))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.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 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
Calls

4 calls:

2.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms
rand
2.0ms
a
Results
AccuracySegmentsBranch
66.7%1(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
87.3%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)))
66.7%1a
95.5%3rand
Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes6.0ms (0.2%)

Memory
-41.4MiB live, 5.2MiB allocated; 5ms 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
(*.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))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
(*.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))) (*.f64 #s(literal 1/3 binary64) (*.f64 rand #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)))))
Calls

1 calls:

2.0ms
rand
Results
AccuracySegmentsBranch
95.0%3rand
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes2.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB 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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
(*.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 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (*.f64 rand #s(approx (+ (* 1/3 (sqrt a)) (/ a rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))))
Calls

1 calls:

2.0ms
rand
Results
AccuracySegmentsBranch
95.0%3rand
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB 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

2 calls:

1.0ms
(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms
rand
Results
AccuracySegmentsBranch
66.7%1(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
66.7%1rand
Compiler

Compiled 20 to 15 computations (25% saved)

regimes4.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

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

Compiled 26 to 23 computations (11.5% saved)

bsearch30.0ms (1.1%)

Memory
13.0MiB live, 54.5MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
5.338357207996241e+118
3.377555513303059e+121
17.0ms
-7.864341023689625e+107
-2.4643067579602555e+100
Samples
14.0ms272×0valid
Compiler

Compiled 669 to 664 computations (0.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult!: 3.0ms (37.5% of total)
ival-sqrt: 2.0ms (25% of total)
ival-sub!: 1.0ms (12.5% of total)
ival-add!: 1.0ms (12.5% of total)
ival-div!: 1.0ms (12.5% of total)
adjust: 0.0ms (0% of total)

bsearch2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.338357207996241e+118
3.377555513303059e+121
1.0ms
-7.864341023689625e+107
-2.4643067579602555e+100
Compiler

Compiled 720 to 715 computations (0.7% saved)

bsearch940.0ms (33.3%)

Memory
-100.2MiB live, 6.1MiB allocated; 1.4s collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
939.0ms
5.338357207996241e+118
3.377555513303059e+121
1.0ms
-7.864341023689625e+107
-2.4643067579602555e+100
Compiler

Compiled 873 to 868 computations (0.6% saved)

derivations114.0ms (4%)

Memory
-65.6MiB live, 58.8MiB allocated; 20ms collecting garbage
Stop Event
fuel
Compiler

Compiled 117 to 66 computations (43.6% saved)

preprocess55.0ms (1.9%)

Memory
28.0MiB live, 119.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 136 to 79 computations (41.9% saved)

end0.0ms (0%)

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

Profiling

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