Metrics for Octave 3.8, oct_fill

start0.0ms (0%)

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

analyze17.0ms (0.4%)

Memory

33.8MiB live, 33.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.6s (40%)

Memory

17.9MiB live, 2 284.9MiB allocated; 591ms collecting garbage

Samples

1.0s	8 256×	0	valid
65.0ms	513×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 769.0ms

ival-div: 304.0ms (39.5% of total)

ival-mult: 225.0ms (29.3% of total)

ival-sqrt: 110.0ms (14.3% of total)

ival-sub: 69.0ms (9% of total)

ival-add: 42.0ms (5.5% of total)

exact: 15.0ms (2% of total)

adjust: 3.0ms (0.4% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain197.0ms (5.1%)

Memory

-1.3MiB live, 322.7MiB allocated; 44ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

53.0ms	476×	0	valid
6.0ms	20×	2	valid
3.0ms	6×	5	exit
2.0ms	10×	1	valid

Compiler

Compiled 192 to 43 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 14.0ms (32% of total)

ival-div: 13.0ms (29.7% of total)

ival-sqrt: 7.0ms (16% of total)

adjust: 3.0ms (6.9% of total)

ival-sub: 3.0ms (6.9% of total)

ival-add: 3.0ms (6.9% of total)

ival-true: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

ival-assert: 0.0ms (0% of total)

preprocess201.0ms (5.2%)

Memory

28.0MiB live, 268.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	104
1	101	90
2	303	88
3	878	88
4	3634	88
0	13	16
0	22	16
1	39	14
2	86	14
3	222	14
4	974	14
5	4286	14
0	8177	14

Stop Event

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

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)))

Outputs

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

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

Compiler

Compiled 20 to 13 computations (35% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.8%

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

Compiler

Compiled 20 to 13 computations (35% saved)

series22.0ms (0.6%)

Memory

-16.3MiB live, 74.3MiB allocated; 7ms collecting garbage

Counts

13 → 83

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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)
5.0ms	a	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) a (/ 1 3) 1 3 (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 rand)
3.0ms	a	@	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	@	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)
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)

rewrite119.0ms (3.1%)

Memory

33.6MiB live, 219.3MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	446	2587
0	2723	2432

Stop Event

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

Counts

96 → 116

Calls

Call 1

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

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

eval33.0ms (0.9%)

Memory: -21.2MiB live, 79.6MiB allocated; 34ms collecting garbage
Compiler: Compiled 4 240 to 666 computations (84.3% saved)

prune14.0ms (0.4%)

Memory

-14.6MiB live, 32.1MiB allocated; 10ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	122	8	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	8	131

Accuracy

100.0%

Counts

131 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.5%	(.f64 (/.f64 (-.f64 (.f64 a a) #s(literal 1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
	99.2%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) rand)))
▶	99.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
▶	59.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
▶	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
▶	73.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
	40.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))

Compiler

Compiled 464 to 312 computations (32.8% saved)

series71.0ms (1.8%)

Memory

40.5MiB live, 84.7MiB allocated; 21ms collecting garbage

Counts

36 → 221

Calls

Call 1

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

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (- a 1/3) #s(hole binary64 -1/3))
#s(approx (- a 1/3) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (/ 1 (sqrt a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ -1/3 rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (- (/ a rand) (* 1/3 (/ 1 rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (+ (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* a (- (* 3 (+ (* -3/2 (/ rand (sqrt -3))) (* 1/54 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))) (* 3 (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 -1/3))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (- (* a a) 1/9) #s(hole binary64 -1/9))
#s(approx (- (* a a) 1/9) #s(hole binary64 (- (pow a 2) 1/9)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ a 1/3) #s(hole binary64 1/3))
#s(approx (+ a 1/3) #s(hole binary64 (+ 1/3 a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 -3))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (- a 1/3) #s(hole binary64 a))
#s(approx (- a 1/3) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ a rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* -1/162 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (- (* a a) 1/9) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) 1/9) #s(hole binary64 (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))))
#s(approx (+ a 1/3) #s(hole binary64 a))
#s(approx (+ a 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* 9 a)))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 a))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (- a 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* -1 (/ (- (* -1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/3 (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))) a))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- a 1/3)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 a))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 1))
#s(approx (* rand 1/3) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (/ (- (pow a 2) 1/9) (+ 1/3 a))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	a	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 (- a (/ 1 3)) (/ 1 3) 3)
8.0ms	a	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 (- a (/ 1 3)) (/ 1 3) 3)
6.0ms	a	@	0	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 (- a (/ 1 3)) (/ 1 3) 3)
5.0ms	rand	@	0	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 (- a (/ 1 3)) (/ 1 3) 3)
4.0ms	rand	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (* 1/3 rand) 1/3 rand (sqrt (- a 1/3)) (- a 1/3) a (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (* rand 1/3) (/ 1 (sqrt a)) 1 (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (- (* a a) 1/9) (* a a) 1/9 (+ a 1/3) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))) (* 9 (- a (/ 1 3))) 9 (- a (/ 1 3)) (/ 1 3) 3)

rewrite294.0ms (7.6%)

Memory

-88.7MiB live, 349.3MiB allocated; 140ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	983	6828
1	6012	6515
0	8156	6092

Stop Event

1×	iter limit
1×	node limit

Counts

257 → 389

Calls

Call 1

Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3)))
(- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3)
(+ (* (* 1/3 rand) (sqrt (- a 1/3))) a)
(* 1/3 rand)
1/3
rand
(sqrt (- a 1/3))
(- a 1/3)
a
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- a 1/3)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a)))
(* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a)
(+ (* (* rand 1/3) (/ 1 (sqrt a))) 1)
(* rand 1/3)
(/ 1 (sqrt a))
1
(sqrt a)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand)))
(* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand)
(+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand))
(/ (- a 1/3) rand)
(* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)))
(/ (- (* a a) 1/9) (+ a 1/3))
(- (* a a) 1/9)
(* a a)
1/9
(+ a 1/3)
(+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))
(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
(/ 1 (sqrt (* 9 (- a (/ 1 3)))))
(sqrt (* 9 (- a (/ 1 3))))
(* 9 (- a (/ 1 3)))
9
(- a (/ 1 3))
(/ 1 3)
3
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (* 1/3 (* rand (sqrt -1/3))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt -1/3)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3)))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5)))))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt -1/3)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))))
#s(approx (- a 1/3) #s(hole binary64 -1/3))
#s(approx (- a 1/3) #s(hole binary64 (- a 1/3)))
#s(approx a #s(hole binary64 a))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* 1/3 (* (sqrt a) rand))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (+ a (* 1/3 (* (sqrt a) rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (/ (+ a (* 1/3 (* (sqrt a) rand))) a)))
#s(approx (/ 1 (sqrt a)) #s(hole binary64 (sqrt (/ 1 a))))
#s(approx (sqrt a) #s(hole binary64 (sqrt a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ -1/3 rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (- (/ a rand) (* 1/3 (/ 1 rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (- (+ (* 1/2 (/ rand (sqrt -3))) (* a (- (+ (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* a (- (* 3 (+ (* -3/2 (/ rand (sqrt -3))) (* 1/54 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))))) (* 3 (- (* 3 (+ 1 (+ (* 1/54 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))))) (* 3 (- (* 1/2 (/ rand (sqrt -3))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3)))))))))) (* -1 (+ 1 (* 1/3 (* rand (sqrt -3))))))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 -1/3))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (- a 1/3)))
#s(approx (- (* a a) 1/9) #s(hole binary64 -1/9))
#s(approx (- (* a a) 1/9) #s(hole binary64 (- (pow a 2) 1/9)))
#s(approx (* a a) #s(hole binary64 (pow a 2)))
#s(approx (+ a 1/3) #s(hole binary64 1/3))
#s(approx (+ a 1/3) #s(hole binary64 (+ 1/3 a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt -3))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt -3)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt -3))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/3 (sqrt -3)) (* a (- (* a (+ (* -1/6 (/ (* a (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3))) (* -1/6 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (sqrt -3))))) (* 3/2 (/ 1 (sqrt -3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt -1/3))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 -3))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (- (* 9 a) 3)))
#s(approx (- a (/ 1 3)) #s(hole binary64 -1/3))
#s(approx (- a (/ 1 3)) #s(hole binary64 (- a 1/3)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (sqrt a)))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))))
#s(approx (- a 1/3) #s(hole binary64 a))
#s(approx (- a 1/3) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ a rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (- (+ 1 (+ (* -1/162 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (- (* a a) 1/9) #s(hole binary64 (pow a 2)))
#s(approx (- (* a a) 1/9) #s(hole binary64 (* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))))
#s(approx (+ a 1/3) #s(hole binary64 a))
#s(approx (+ a 1/3) #s(hole binary64 (* a (+ 1 (* 1/3 (/ 1 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* (sqrt (/ 1 a)) rand))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* 1/3 (sqrt (/ 1 a)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (- 1/27 (* 1/36 a)))) (* 1/3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* 3 (sqrt a))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* 9 a)))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* a (- 9 (* 3 (/ 1 a))))))
#s(approx (- a (/ 1 3)) #s(hole binary64 a))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* a (- 1 (* 1/3 (/ 1 a))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))) 1)))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* a (- (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))) 1)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
#s(approx (sqrt (- a 1/3)) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))))
#s(approx (- a 1/3) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (sqrt a) #s(hole binary64 (* -1 (* (sqrt a) (pow (sqrt -1) 2)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (- (* -1 (/ (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* -1 (/ (- (* -1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/3 (- (* -1 (+ (* -1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* -1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))) a))) (* 1/9 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* 1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) #s(hole binary64 (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (sqrt -1) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* (sqrt -1) (+ 1/27 (* -1/36 a))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) #s(hole binary64 (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))))
#s(approx (* 9 (- a (/ 1 3))) #s(hole binary64 (* -1 (* a (- (* 3 (/ 1 a)) 9)))))
#s(approx (- a (/ 1 3)) #s(hole binary64 (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- a 1/3)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- a 1/3)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (+ a (* 1/3 (* rand (sqrt (- a 1/3)))))))
#s(approx (* 1/3 rand) #s(hole binary64 (* 1/3 rand)))
#s(approx rand #s(hole binary64 rand))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 a))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 1))
#s(approx (* rand 1/3) #s(hole binary64 (* 1/3 rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- a 1/3)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)))
#s(approx (/ (- a 1/3) rand) #s(hole binary64 (/ (- a 1/3) rand)))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (/ (- (pow a 2) 1/9) (+ 1/3 a))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (- (+ (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (+ 1/3 a))) (* 1/9 (/ 1 (+ 1/3 a))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 1))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* rand (+ (* 1/3 (sqrt a)) (/ a rand)))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* 1/3 (* rand (sqrt (- a 1/3))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (* 1/3 (sqrt (- a 1/3)))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(hole binary64 (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* 1/3 (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3)))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* rand (- (+ (* 1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))) (/ (pow a 2) (* rand (+ 1/3 a)))) (/ 1/9 (* rand (+ 1/3 a)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))))
#s(approx (* (/ (- (* a a) 1/9) (+ a 1/3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(hole binary64 (* -1 (* rand (+ (* -1 (/ (- (/ (pow a 2) (+ 1/3 a)) (* 1/9 (/ 1 (+ 1/3 a)))) rand)) (* -1/3 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- a 1/3))))))))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(hole binary64 (* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))))

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (+.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 3 binary64)) #s(literal 1/27 binary64)) (+.f64 (pow.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) (-.f64 a #s(literal 1/3 binary64)))
(-.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64))
(+.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 a (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 a a)) (-.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) a))
(/.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (-.f64 a (.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 a a) (.f64 (.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 a (.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))))))
(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a)
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a)
(fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) a)
(-.f64 a (.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)))
(+.f64 (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)) a)
(+.f64 a (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(/.f64 (*.f64 #s(literal 1 binary64) rand) #s(literal 3 binary64))
(/.f64 (*.f64 rand #s(literal 1 binary64)) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand)) (neg.f64 (sqrt.f64 #s(literal -9 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))
#s(literal 1/3 binary64)
rand
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(-.f64 a #s(literal 1/3 binary64))
(+.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (.f64 #s(literal -1/9 binary64) (pow.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
a
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) a))
(.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) a)
(.f64 a (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) a (.f64 (.f64 rand (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) a))
(fma.f64 a #s(literal 1 binary64) (.f64 a (.f64 rand (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) a) (.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) a))
(+.f64 (.f64 a #s(literal 1 binary64)) (.f64 a (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 rand (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 rand (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(fma.f64 rand (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 a #s(literal -1/2 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(+.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(/.f64 (*.f64 #s(literal 1 binary64) rand) #s(literal 3 binary64))
(/.f64 (*.f64 rand #s(literal 1 binary64)) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand)) (neg.f64 (sqrt.f64 #s(literal -9 binary64))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 #s(literal -9 binary64)))
(pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 a) #s(literal -1 binary64))
(pow.f64 a #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 a)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
(sqrt.f64 (pow.f64 a #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 a #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 a)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 a #s(literal 1/2 binary64))
(sqrt.f64 a)
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(*.f64 rand (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) rand) #s(literal 2 binary64))) (+.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) (/.f64 #s(literal 1/3 binary64) rand)))
(/.f64 (-.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64))) (-.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) #s(literal 3 binary64)) (.f64 (pow.f64 rand #s(literal -3 binary64)) #s(literal 1/27 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) rand) #s(literal 2 binary64)) (.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) (/.f64 #s(literal 1/3 binary64) rand)))))
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))))
(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(-.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) (/.f64 #s(literal 1/3 binary64) rand))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) (*.f64 #s(literal -1/3 binary64) (pow.f64 rand #s(literal -1 binary64))))
(+.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
(+.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 a rand) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) rand) #s(literal 2 binary64))) (+.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand)))
(/.f64 (-.f64 (pow.f64 (/.f64 a rand) #s(literal 3 binary64)) (.f64 (pow.f64 rand #s(literal -3 binary64)) #s(literal 1/27 binary64))) (+.f64 (pow.f64 (/.f64 a rand) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) rand) #s(literal 2 binary64)) (.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand)))))
(/.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 rand))
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) rand) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) rand))
(-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))
(+.f64 (/.f64 a rand) (*.f64 #s(literal -1/3 binary64) (pow.f64 rand #s(literal -1 binary64))))
(.f64 (fma.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (.f64 a a) #s(literal 1/9 binary64)) (fma.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1/3 binary64) a))
(fma.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (.f64 (-.f64 a #s(literal 1/3 binary64)) (.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)) (.f64 (.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64))) (.f64 (.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(+.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 a #s(literal 1/3 binary64)) (.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(-.f64 a #s(literal 1/3 binary64))
(+.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (.f64 #s(literal -1/9 binary64) (pow.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 a a) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (fma.f64 a a #s(literal 1/9 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (.f64 a a) #s(literal 2 binary64)) (+.f64 #s(literal 1/81 binary64) (.f64 (*.f64 a a) #s(literal 1/9 binary64)))))
(-.f64 (*.f64 a a) #s(literal 1/9 binary64))
(*.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)))
(*.f64 (neg.f64 a) (neg.f64 a))
(*.f64 (fabs.f64 a) (fabs.f64 a))
(*.f64 a a)
(pow.f64 (pow.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 a) #s(literal 2 binary64))
(pow.f64 (fabs.f64 a) #s(literal 2 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 a) #s(literal 2 binary64))))
#s(literal 1/9 binary64)
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal 1/3 binary64) a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 a a) (.f64 #s(literal 1/3 binary64) a))))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/3 binary64) a)
(+.f64 a #s(literal 1/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)))))))
(fma.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) rand #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))) rand))
(+.f64 (.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))))
(.f64 rand (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) rand)
(/.f64 (.f64 #s(literal 1 binary64) rand) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 a a (+.f64 #s(literal 1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) a)))
(/.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(-.f64 (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(-.f64 a #s(literal 1/3 binary64))
(+.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (.f64 #s(literal -1/9 binary64) (pow.f64 (+.f64 #s(literal 1/3 binary64) a) #s(literal -1 binary64))))
#s(literal 1/3 binary64)
#s(literal 3 binary64)
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (fma.f64 (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/18 binary64) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (/.f64 (.f64 #s(literal 1/18 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) a (.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (fma.f64 (+.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)))) #s(literal -1/24 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64)))) #s(literal 1/48 binary64) (.f64 (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64))) #s(literal -1/24 binary64))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (+.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)))) #s(literal -1/24 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (+.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64)))) #s(literal 1/48 binary64) (.f64 (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64))) #s(literal -1/24 binary64))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) #s(literal 1 binary64)) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 #s(literal -1/3 binary64)))
#s(approx (sqrt (- a 1/3)) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (/.f64 a (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (sqrt (- a 1/3)) (fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 #s(literal -1/3 binary64) #s(literal -3/2 binary64)))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx a a)
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) a))
#s(approx (/ 1 (sqrt a)) (pow.f64 a #s(literal -1/2 binary64)))
#s(approx (sqrt a) (sqrt.f64 a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (.f64 (fma.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64) (pow.f64 rand #s(literal -1 binary64))) rand) a (.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64) (pow.f64 rand #s(literal -1 binary64))) rand (/.f64 (.f64 #s(literal -1/24 binary64) (.f64 rand a)) (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64)))) a (.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64)))) #s(literal 1/48 binary64) (.f64 (/.f64 rand (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64))) #s(literal -1/24 binary64))) a (.f64 (fma.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64) (pow.f64 rand #s(literal -1 binary64))) rand)) a (.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64) (pow.f64 rand #s(literal -1 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64))) #s(literal -1/24 binary64) (fma.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64) (pow.f64 rand #s(literal -1 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (-.f64 (fma.f64 (fma.f64 (pow.f64 #s(literal -1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 a (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64))) #s(literal 1/48 binary64) (.f64 #s(literal -1/24 binary64) (pow.f64 #s(literal -1/3 binary64) #s(literal -3/2 binary64)))) a (pow.f64 rand #s(literal -1 binary64)))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/3 binary64) rand)))
#s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))
#s(approx (/ (- a 1/3) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 3 binary64) (-.f64 (+.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 #s(literal 1/54 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal 3 binary64) (-.f64 (fma.f64 #s(literal 1/54 binary64) (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) (.f64 #s(literal 3 binary64) (-.f64 (+.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 #s(literal 1/54 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))))))) a (.f64 (+.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (.f64 #s(literal 1/54 binary64) (.f64 #s(literal 81/4 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))) a (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) #s(literal -1/3 binary64))))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (- (* a a) 1/9) #s(literal -1/9 binary64))
#s(approx (- (* a a) 1/9) (-.f64 (*.f64 a a) #s(literal 1/9 binary64)))
#s(approx (* a a) (*.f64 a a))
#s(approx (+ a 1/3) #s(literal 1/3 binary64))
#s(approx (+ a 1/3) (+.f64 #s(literal 1/3 binary64) a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 rand a) #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 a (.f64 rand (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (/.f64 a (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (fma.f64 (.f64 a (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/6 binary64) (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 #s(literal 405/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) a (.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 1/3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 #s(literal 3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 #s(literal -3 binary64) #s(literal -3/2 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 3/16 binary64) (/.f64 a (pow.f64 #s(literal -3 binary64) #s(literal -5/2 binary64))) (.f64 #s(literal -3/8 binary64) (pow.f64 #s(literal -1/3 binary64) #s(literal -3/2 binary64)))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))))
#s(approx (* 9 (- a (/ 1 3))) #s(literal -3 binary64))
#s(approx (* 9 (- a (/ 1 3))) (-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal 1/18 binary64) (.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal -1/54 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal 1/18 binary64) (.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))))) #s(literal 1 binary64)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (-.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) (fma.f64 #s(literal -1/216 binary64) (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) (.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) (fma.f64 #s(literal -1/216 binary64) (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) (.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (+.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) (fma.f64 #s(literal -1/216 binary64) (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) (fma.f64 (.f64 (pow.f64 a #s(literal -7/2 binary64)) rand) #s(literal -1/1296 binary64) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a))
#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
#s(approx (sqrt (- a 1/3)) (*.f64 (fma.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal -1/6 binary64) (pow.f64 a #s(literal -1/2 binary64))) a))
#s(approx (sqrt (- a 1/3)) (.f64 (+.f64 (fma.f64 #s(literal -1/72 binary64) (pow.f64 a #s(literal -5/2 binary64)) (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal -1/6 binary64))) (pow.f64 a #s(literal -1/2 binary64))) a))
#s(approx (sqrt (- a 1/3)) (.f64 (+.f64 (fma.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/432 binary64) (pow.f64 a #s(literal -7/2 binary64)) (.f64 #s(literal -1/72 binary64) (pow.f64 a #s(literal -5/2 binary64))))) (pow.f64 a #s(literal -1/2 binary64))) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (fma.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (.f64 (.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))) rand) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (.f64 (-.f64 (.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))) rand) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) (pow.f64 a #s(literal -3/2 binary64))) rand (-.f64 (*.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))) rand) (/.f64 #s(literal 1/3 binary64) a))) a))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (.f64 (-.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) (fma.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))) rand (.f64 #s(literal -1/216 binary64) (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand)))) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (-.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (fma.f64 #s(literal -1/18 binary64) (pow.f64 a #s(literal -3/2 binary64)) (-.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand))) a))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (-.f64 (fma.f64 #s(literal -1/18 binary64) (pow.f64 a #s(literal -3/2 binary64)) (fma.f64 #s(literal -1/216 binary64) (pow.f64 a #s(literal -5/2 binary64)) (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))))) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) a))
#s(approx (/ (- a 1/3) rand) (/.f64 a rand))
#s(approx (/ (- a 1/3) rand) (*.f64 (-.f64 (pow.f64 rand #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal 1/18 binary64) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal 1/3 binary64))) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (-.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/162 binary64) (pow.f64 a #s(literal -7/2 binary64))) rand (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 1/18 binary64)) rand (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal -7/2 binary64))) (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) (.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a) #s(literal 1/3 binary64))) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (- (* a a) 1/9) (*.f64 a a))
#s(approx (- (* a a) 1/9) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal -2 binary64)) #s(literal 1/9 binary64))) (*.f64 a a)))
#s(approx (+ a 1/3) a)
#s(approx (+ a 1/3) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal 1/18 binary64) (.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal 1/18 binary64) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 binary64)) rand (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 1/18 binary64)) rand (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal -7/2 binary64))) (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal 1/18 binary64) (.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal 1/54 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal 1/18 binary64) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 binary64)) rand (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 1/18 binary64)) rand (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal -7/2 binary64))) (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 1/18 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 binary64) (fma.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 1/18 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/54 binary64) (fma.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 1/18 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal -7/2 binary64))) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -3/2 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64))) a))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -3/2 binary64)) (fma.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/24 binary64) (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)))) a))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal -3/2 binary64)) (fma.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/144 binary64) (pow.f64 a #s(literal -7/2 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64))))) a))
#s(approx (* 9 (- a (/ 1 3))) (*.f64 #s(literal 9 binary64) a))
#s(approx (* 9 (- a (/ 1 3))) (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (neg.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (.f64 (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))) #s(literal -1/6 binary64))) a) #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) (pow.f64 a #s(literal -1/2 binary64))) (.f64 rand #s(literal 1/3 binary64)) (fma.f64 (.f64 #s(literal 1/18 binary64) (pow.f64 a #s(literal -1/2 binary64))) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64))))) a))) a) #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (*.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) a)) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal 1/18 binary64) (.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64))) a)) #s(literal 1/3 binary64)) a))) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/18 binary64) (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/18 binary64) (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64) (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal -7/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/1296 binary64) (fma.f64 (.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/18 binary64) (.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64)))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64) (.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))))) a)))
#s(approx (sqrt (- a 1/3)) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal -1 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -7/2 binary64)) #s(literal -1 binary64)) #s(literal 1/432 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64)))))) a)))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (sqrt a) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (neg.f64 (.f64 (.f64 rand a) (-.f64 (.f64 (.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 rand #s(literal -1 binary64))))))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (neg.f64 (.f64 (fma.f64 (-.f64 (.f64 (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 rand #s(literal -1 binary64))) rand (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (neg.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 rand #s(literal -1 binary64))) rand (neg.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal -1/18 binary64)) #s(literal 1/3 binary64)) a))) a)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (neg.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 rand #s(literal -1 binary64))) rand (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 a) rand) #s(literal -1 binary64)) #s(literal 1/18 binary64) (.f64 (.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) rand) #s(literal -1 binary64)) #s(literal -1/216 binary64))) a)) #s(literal 1/3 binary64)) a))) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (neg.f64 (.f64 (-.f64 (.f64 (*.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64)) (pow.f64 rand #s(literal -1 binary64))) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand)) (pow.f64 rand #s(literal -1 binary64))) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal -1/18 binary64)) (/.f64 #s(literal 1/3 binary64) rand)) a))) (pow.f64 rand #s(literal -1 binary64))) a)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (neg.f64 (.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal -1 binary64) (pow.f64 a #s(literal -1/2 binary64))) #s(literal -1/216 binary64) (.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 a)) #s(literal 1/18 binary64))) a)) (/.f64 #s(literal 1/3 binary64) rand)) a))) (pow.f64 rand #s(literal -1 binary64))) a)))
#s(approx (/ (- a 1/3) rand) (neg.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) a) rand) (pow.f64 rand #s(literal -1 binary64))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (neg.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/9 binary64))) a) #s(literal -1 binary64) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) a) #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/9 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/9 binary64))))) a)) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/9 binary64))) a) #s(literal -1 binary64) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) a) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))) a)))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -3/2 binary64))) #s(literal -1/6 binary64) (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal -1/6 binary64)) (.f64 rand #s(literal 1/3 binary64)) (fma.f64 (.f64 #s(literal -1/18 binary64) (pow.f64 a #s(literal -5/2 binary64))) (.f64 rand #s(literal 1/3 binary64)) (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (+.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -3/2 binary64))) #s(literal -1/6 binary64) (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -3/2 binary64))) #s(literal -1/6 binary64) (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal -1/6 binary64)) (.f64 rand #s(literal 1/3 binary64)) (fma.f64 (.f64 #s(literal -1/18 binary64) (pow.f64 a #s(literal -5/2 binary64))) (.f64 rand #s(literal 1/3 binary64)) (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (pow.f64 a #s(literal -3/2 binary64))) #s(literal -1/6 binary64) (.f64 rand (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/18 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))))
#s(approx (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) (sqrt.f64 #s(literal -9 binary64))))) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 1/3 binary64)) #s(literal -1/6 binary64) (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64)))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (*.f64 (sqrt.f64 a) #s(literal 3 binary64))))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64))) a)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64)))) a)))
#s(approx (sqrt (* 9 (- a (/ 1 3)))) (neg.f64 (.f64 (fma.f64 (.f64 (pow.f64 a #s(literal -5/2 binary64)) #s(literal 3 binary64)) #s(literal -1/72 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -7/2 binary64)) #s(literal 3 binary64)) #s(literal 1/432 binary64) (fma.f64 (.f64 (pow.f64 a #s(literal -3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 3 binary64))))) a)))
#s(approx (* 9 (- a (/ 1 3))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)) a)))
#s(approx (/ (- (* a a) 1/9) (+ a 1/3)) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) a)
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a))
#s(approx (* rand 1/3) (*.f64 rand #s(literal 1/3 binary64)))
#s(approx rand rand)
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) a)
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) #s(literal 1 binary64))
#s(approx (* rand 1/3) (*.f64 rand #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))) rand))
#s(approx (/ (- a 1/3) rand) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 rand (-.f64 a #s(literal 1/3 binary64)))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) #s(literal 1 binary64))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (fma.f64 (*.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (.f64 (.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (*.f64 (fma.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))) rand))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) (*.f64 rand (-.f64 a #s(literal 1/3 binary64)))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (/.f64 (/.f64 (.f64 a a) rand) (+.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1/9 binary64) (.f64 (+.f64 #s(literal 1/3 binary64) a) rand))) rand))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (.f64 (.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) rand) #s(literal 1/3 binary64)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (*.f64 (fma.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1/3 binary64) (pow.f64 rand #s(literal -1 binary64))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (- (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) 1/3) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 a) (neg.f64 (/.f64 a rand))) rand)))
#s(approx (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 rand #s(literal -1 binary64))) rand)))
#s(approx (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (neg.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))) rand)))
#s(approx (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)) (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1/3 binary64)) (pow.f64 rand #s(literal -1 binary64))) rand)))

eval107.0ms (2.8%)

Memory: 5.6MiB live, 105.0MiB allocated; 19ms collecting garbage
Compiler: Compiled 17 786 to 1 942 computations (89.1% saved)

prune30.0ms (0.8%)

Memory

-4.1MiB live, 41.6MiB allocated; 5ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	428	9	437
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	433	12	445

Accuracy

100.0%

Counts

445 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.2%	(/.f64 (.f64 (-.f64 (.f64 a a) #s(literal 1/9 binary64)) (fma.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1/3 binary64) a))
▶	99.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (/.f64 (*.f64 rand #s(literal 1 binary64)) #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
	99.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- ( a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
✓	59.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
▶	40.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	33.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
	39.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
	57.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
▶	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
▶	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
	39.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))

Compiler

Compiled 790 to 518 computations (34.4% saved)

series38.0ms (1%)

Memory

8.9MiB live, 54.1MiB allocated; 6ms collecting garbage

Counts

27 → 147

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	rand	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 1 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand))
8.0ms	rand	@	0	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 1 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand))
4.0ms	a	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 1 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand))
4.0ms	rand	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 1 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand))
3.0ms	a	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 1 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) -1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) rand) 1/3) a) (* (sqrt a) rand) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand))

rewrite171.0ms (4.4%)

Memory

1.8MiB live, 146.0MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	4455
0	3849	4201

Stop Event

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

Counts

174 → 226

Calls

Call 1

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

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

eval87.0ms (2.2%)

Memory: -7.2MiB live, 82.8MiB allocated; 9ms collecting garbage
Compiler: Compiled 11 972 to 1 126 computations (90.6% saved)

prune14.0ms (0.4%)

Memory

35.7MiB live, 35.7MiB allocated; 0ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	247	8	255
Fresh	2	4	6
Picked	3	2	5
Done	0	1	1
Total	252	15	267

Accuracy

100.0%

Counts

267 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.2%	(/.f64 (.f64 (-.f64 (.f64 a a) #s(literal 1/9 binary64)) (fma.f64 rand (pow.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1/3 binary64) a))
	40.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 3 binary64)))
▶	99.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (/.f64 #s(approx (* rand 1) rand) #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
✓	59.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
	40.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
✓	40.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	39.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))))
▶	31.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a) rand)) rand))
	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))) rand))
▶	57.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
✓	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
▶	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)))
	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
	39.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))

Compiler

Compiled 947 to 611 computations (35.5% saved)

series56.0ms (1.4%)

Memory

-33.2MiB live, 72.8MiB allocated; 19ms collecting garbage

Counts

26 → 159

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	a	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (/ (- (* a a) 1/9) (+ a 1/3)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) 1/3) rand) a) (* (sqrt a) 1/3) (sqrt a))
7.0ms	rand	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (/ (- (* a a) 1/9) (+ a 1/3)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) 1/3) rand) a) (* (sqrt a) 1/3) (sqrt a))
6.0ms	a	@	-inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (/ (- (* a a) 1/9) (+ a 1/3)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) 1/3) rand) a) (* (sqrt a) 1/3) (sqrt a))
4.0ms	rand	@	0	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (/ (- (* a a) 1/9) (+ a 1/3)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) 1/3) rand) a) (* (sqrt a) 1/3) (sqrt a))
4.0ms	rand	@	inf	((* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) 1/3) (+ (* (/ (* rand 1) 3) (sqrt (- a 1/3))) a) (/ (* rand 1) 3) (* rand 1) rand 3 (sqrt (- a 1/3)) (- a 1/3) a 1/3 (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- (* a a) 1/9) (+ a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (/ (- (* a a) 1/9) (+ a 1/3)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3)))) (* 1/3 rand) (sqrt (/ (- (* a a) 1/9) (+ a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (+ (* (* (sqrt a) 1/3) rand) a) (* (sqrt a) 1/3) (sqrt a))

rewrite157.0ms (4%)

Memory

2.6MiB live, 284.1MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	717	4729
0	4241	4460

Stop Event

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

Counts

185 → 225

Calls

Call 1

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

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

eval62.0ms (1.6%)

Memory: -10.0MiB live, 87.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 11 118 to 1 052 computations (90.5% saved)

prune19.0ms (0.5%)

Memory

9.8MiB live, 56.1MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	222	4	226
Fresh	4	3	7
Picked	1	4	5
Done	0	3	3
Total	227	14	241

Accuracy

100.0%

Counts

241 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (/.f64 #s(approx (* rand 1) rand) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (-.f64 (*.f64 a a) #s(literal 1/9 binary64))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a))) a) #s(literal 1/3 binary64)))
✓	59.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
	39.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 #s(approx (/ (- ( a a) 1/9) (+ a 1/3)) a))))
	40.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
✓	40.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
✓	39.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))))
✓	31.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a) rand)) rand))
	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (/ (- (* a a) 1/9) (+ a 1/3)) rand) (/.f64 #s(literal -1/3 binary64) rand))) rand))
	39.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a)))))
✓	57.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
✓	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))
✓	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand a)))
	97.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))

Compiler

Compiled 1 563 to 491 computations (68.6% saved)

regimes41.0ms (1%)

Memory

32.8MiB live, 125.7MiB allocated; 16ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

13.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
10.0ms	a
8.0ms	rand
8.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

Accuracy	Segments	Branch
99.9%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
99.9%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
99.9%	1	`a`
99.9%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes90.0ms (2.3%)

Memory

10.2MiB live, 53.9MiB allocated; 9ms collecting garbage

Counts

20 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

72.0ms	rand
6.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
6.0ms	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

Accuracy	Segments	Branch
99.9%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
99.9%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
99.9%	1	`a`
99.9%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes54.0ms (1.4%)

Memory

-31.0MiB live, 57.6MiB allocated; 13ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

9.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms	rand
5.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
5.0ms	a

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
99.3%	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)))`
99.3%	1	`a`
99.3%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes42.0ms (1.1%)

Memory

-5.8MiB live, 48.2MiB allocated; 44ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	(-.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

Accuracy	Segments	Branch
97.7%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
97.7%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
97.7%	1	`a`
97.7%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes19.0ms (0.5%)

Memory

2.3MiB live, 46.6MiB allocated; 8ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms	rand
4.0ms	a
4.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
97.7%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
97.7%	1	`a`
97.7%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes17.0ms (0.4%)

Memory

3.2MiB live, 48.6MiB allocated; 4ms collecting garbage

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

6.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms	rand
3.0ms	a
3.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

Accuracy	Segments	Branch
62.8%	3	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
62.8%	3	`a`
87.0%	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)))`
91.2%	3	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes11.0ms (0.3%)

Memory

33.3MiB live, 33.3MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	rand
3.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms	a

Results

Accuracy	Segments	Branch
59.5%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
59.5%	1	`a`
59.5%	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)))`
59.5%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes8.0ms (0.2%)

Memory

-29.6MiB live, 16.1MiB allocated; 4ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

4.0ms	a
1.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	rand

Results

Accuracy	Segments	Branch
57.9%	1	`rand`
57.9%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
57.9%	1	`a`
57.9%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
1.6%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
1.6%	1	`a`
1.6%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
1.6%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch47.0ms (1.2%)

Memory

-13.6MiB live, 84.4MiB allocated; 16ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.0608907108856574e+95	3.300093812825808e+100
21.0ms	-1.1300003363842578e+109	-7.044943320396803e+101

Samples

30.0ms

288×

valid

Compiler

Compiled 1 175 to 810 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 5.0ms (32.9% of total)

ival-div: 4.0ms (26.3% of total)

ival-sqrt: 2.0ms (13.1% of total)

ival-add: 1.0ms (6.6% of total)

ival-sub: 1.0ms (6.6% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

simplify57.0ms (1.5%)

Memory

21.2MiB live, 65.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	289
1	109	283
2	221	283
3	611	283
4	4051	283

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (/.f64 #s(approx (* rand 1) rand) #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- ( a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
(if (<=.f64 rand #s(literal -1400000000000000092200127673790131818671141844599020033696032063961720193169100099114440065407460048896 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 97999999999999992792189952587869536065864069385534691395996148843149230318466235449166418872893440 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))

Outputs
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (/.f64 #s(approx (* rand 1) rand) #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 #s(approx (/ (- ( a a) 1/9) (+ a 1/3)) a)) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (fma.f64 (sqrt.f64 a) (*.f64 rand #s(literal 1/3 binary64)) a)))
(if (<=.f64 rand #s(literal -1400000000000000092200127673790131818671141844599020033696032063961720193169100099114440065407460048896 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 97999999999999992792189952587869536065864069385534691395996148843149230318466235449166418872893440 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
(if (or (<=.f64 rand #s(literal -1400000000000000092200127673790131818671141844599020033696032063961720193169100099114440065407460048896 binary64)) (not (<=.f64 rand #s(literal 97999999999999992792189952587869536065864069385534691395996148843149230318466235449166418872893440 binary64)))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* rand 1/3) (/ 1 (sqrt a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (/ (- (* a a) 1/9) (+ a 1/3)) #s(literal -1/3 binary64)))

derivations172.0ms (4.4%)

Memory

-16.4MiB live, 167.3MiB allocated; 30ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 351 to 68 computations (80.6% saved)

preprocess60.0ms (1.6%)

Memory: 42.4MiB live, 86.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 742 to 162 computations (78.2% saved)

end0.0ms (0%)

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

Octave 3.8, oct_fill_randg

start0.0ms (0%)

analyze17.0ms (0.4%)

sample1.6s (40%)

explain197.0ms (5.1%)

preprocess201.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

series22.0ms (0.6%)

rewrite119.0ms (3.1%)

eval33.0ms (0.9%)

prune14.0ms (0.4%)

series71.0ms (1.8%)

rewrite294.0ms (7.6%)

eval107.0ms (2.8%)

prune30.0ms (0.8%)

series38.0ms (1%)

rewrite171.0ms (4.4%)

eval87.0ms (2.2%)

prune14.0ms (0.4%)

series56.0ms (1.4%)

rewrite157.0ms (4%)

eval62.0ms (1.6%)

prune19.0ms (0.5%)

regimes41.0ms (1%)

regimes90.0ms (2.3%)

regimes54.0ms (1.4%)

regimes42.0ms (1.1%)

regimes19.0ms (0.5%)

regimes17.0ms (0.4%)

regimes11.0ms (0.3%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch47.0ms (1.2%)

simplify57.0ms (1.5%)

derivations172.0ms (4.4%)

preprocess60.0ms (1.6%)

end0.0ms (0%)

Profiling