Metrics for Octave 3.8, oct_fill

analyze16.0ms (0.1%)

Memory

-13.8MiB live, 24.9MiB allocated

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)

sample1.3s (11.1%)

Memory

52.8MiB live, 1 583.8MiB allocated

Samples

796.0ms	8 256×	0	valid
61.0ms	511×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 629.0ms

ival-div: 188.0ms (29.9% of total)

ival-mult: 171.0ms (27.2% of total)

ival-sub: 129.0ms (20.5% of total)

ival-sqrt: 74.0ms (11.8% of total)

ival-add: 44.0ms (7% of total)

exact: 12.0ms (1.9% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess279.0ms (2.3%)

Memory

1.8MiB live, 235.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2 560×	`lower-fma.f64`
2 560×	`lower-fma.f32`
1 326×	`unsub-neg`
910×	`sub-neg`
784×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	94	76
2	330	70
3	1191	70
4	3285	70
5	4976	70
6	6491	70
7	6874	70
8	7097	70
9	7245	70
10	7252	70
11	7487	70
12	7531	70
13	7781	70
0	13	16
0	22	16
1	39	14
2	86	14
3	186	14
4	378	14
5	601	14
6	837	14
7	1420	14
8	2472	14
9	2925	14
10	3080	14
11	3233	14
12	3328	14
13	3334	14
0	3334	13

Stop Event

1×	iter limit
1×	saturated
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 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))

explain215.0ms (1.8%)

Memory

-3.9MiB live, 351.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))`
0	-	-	`(+.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))`
0	-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))`
0	-	-	`a`
0	-	-	`rand`
0	-	-	`#s(literal 3 binary64)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`#s(literal 9 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
0	-	-	`(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))`
0	-	-	`(.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)`
0	-	-	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
0	-	-	`(.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)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))`	oflow-rescue	1	0
↳	`(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))`	overflow	1

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

78.0ms	478×	0	valid
5.0ms	16×	2	valid
3.0ms	6×	5	exit
2.0ms	12×	1	valid

Compiler

Compiled 216 to 56 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 10.0ms (31.2% of total)

ival-div: 9.0ms (28.1% of total)

ival-sqrt: 4.0ms (12.5% of total)

ival-add: 4.0ms (12.5% of total)

ival-sub: 3.0ms (9.4% of total)

adjust: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

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 22 to 13 computations (40.9% saved)

simplify141.0ms (1.2%)

Memory

-27.8MiB live, 104.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.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)))
✓	cost-diff	128	(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓	cost-diff	320	(.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)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Rules

2 560×	`lower-fma.f64`
2 560×	`lower-fma.f32`
768×	`lower-*.f32`
762×	`lower-*.f64`
614×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
0	22	66
1	39	60
2	86	60
3	186	60
4	378	60
5	601	60
6	837	60
7	1420	60
8	2472	60
9	2925	60
10	3080	60
11	3233	60
12	3328	60
13	3334	60
0	3334	54

Stop Event

1×	iter limit
1×	saturated
1×	iter 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)))
(-.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
(.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 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 a #s(literal -1/3 binary64))
a
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand))
(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 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 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
#s(literal 9 binary64)
rand

localize51.0ms (0.4%)

Memory

20.0MiB live, 99.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
✓	accuracy	99.7%	(.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)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
✓	accuracy	99.4%	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))

Samples

20.0ms	239×	0	valid
2.0ms	8×	2	valid
1.0ms	3×	5	exit
1.0ms	6×	1	valid

Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions

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

ival-mult: 5.0ms (32.6% of total)

ival-div: 4.0ms (26% of total)

ival-sub: 2.0ms (13% of total)

ival-sqrt: 2.0ms (13% of total)

adjust: 1.0ms (6.5% of total)

ival-add: 1.0ms (6.5% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory

-0.2MiB live, 37.4MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))>
#<alt (.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)>
#<alt (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))>
#<alt (.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)))>
#<alt (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))>

Outputs
#<alt (* 1/3 (* rand (sqrt -3)))>
#<alt (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 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)))))>
#<alt (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt (* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))>
#<alt -3>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (- (* 9 a) 3)>
#<alt (* 9 a)>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* a (- 9 (* 3 (/ 1 a))))>
#<alt (* 9 a)>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1 (* a (- (* 3 (/ 1 a)) 9)))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -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))))))))))>
#<alt (+ (* -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)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* 3 (sqrt -1/3))>
#<alt (+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))>
#<alt (+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (* 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))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt (* 1/3 (sqrt -3))>
#<alt (+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))>
#<alt (+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))>
#<alt (+ (* 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))))))>
#<alt (* 1/3 (sqrt (/ 1 a)))>
#<alt (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))>
#<alt (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))>
#<alt (+ (* 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))))))>
#<alt (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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)))))>

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	rand	@	-inf	(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
2.0ms	rand	@	0	(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
1.0ms	a	@	0	(sqrt (* 9 (- a (/ 1 3))))
1.0ms	a	@	-inf	(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)
1.0ms	a	@	0	(* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand)

simplify447.0ms (3.7%)

Memory

-5.9MiB live, 708.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 334×	`lower-fma.f64`
13 334×	`lower-fma.f32`
5 788×	`lower-*.f64`
5 788×	`lower-*.f32`
5 386×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	1781
1	1013	1561
2	3377	1491
3	7929	1491
0	8325	1388

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

Inputs
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 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))))))
(+ (* 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))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 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)))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ (* -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)))))
(+ (* -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)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 3)
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 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))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* 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)))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(* -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)))))))
(* -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))))))))
(* 1/3 (sqrt -3))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 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))))))
(* 1/3 (sqrt (/ 1 a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(+ (* 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))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(+ (* -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)))))
(+ (* -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)))))

Outputs
(* 1/3 (* rand (sqrt -3)))
(.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) rand))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) rand) (/.f64 (.f64 #s(literal -3/2 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -3 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))))))
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (.f64 a (fma.f64 rand (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 (.f64 #s(literal -27/8 binary64) rand) a) (sqrt.f64 #s(literal -3 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))))))))
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (.f64 a (fma.f64 #s(literal -1/6 binary64) (.f64 (fma.f64 #s(literal 405/8 binary64) (.f64 rand (/.f64 a (sqrt.f64 #s(literal -3 binary64)))) (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64))))) a) (/.f64 (.f64 rand #s(literal -3/2 binary64)) (sqrt.f64 #s(literal -3 binary64))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(+ (* 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)))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/6 binary64))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* -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)))))
(.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -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)))))
(fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 a)) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -9 binary64))))) (neg.f64 (.f64 a (*.f64 a a)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) rand))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(- (* 9 a) 3)
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* 9 a)
(*.f64 a #s(literal 9 binary64))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 a (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -3 binary64) a)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) rand) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 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))))))))))
(fma.f64 a (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) rand) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (fma.f64 a (.f64 #s(literal 9/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1 binary64)))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 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)))))))))))))
(fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (fma.f64 a (fma.f64 a (.f64 rand (/.f64 #s(literal 45/16 binary64) (sqrt.f64 #s(literal -3 binary64)))) (.f64 (.f64 rand (/.f64 #s(literal 81/4 binary64) (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (.f64 #s(literal -1/6 binary64) a)))) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) a)
(* 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))))))
(.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) #s(literal 1 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))))))))
(.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a) #s(literal 1 binary64))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (/.f64 a (sqrt.f64 #s(literal -9 binary64))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(neg.f64 (.f64 a (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) a) (fma.f64 (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1 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)))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/2 binary64) #s(literal -1/3 binary64)) a)))
(* -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)))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (sqrt.f64 a) (/.f64 (.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal 0 binary64)) (neg.f64 a))) a)))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 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)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 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)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 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)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 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)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 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)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 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)))
(* 3 (sqrt -1/3))
(*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(fma.f64 a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 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))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal 3/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 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)))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -9 binary64)) (neg.f64 (sqrt.f64 a))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (neg.f64 a))
(* -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)))))))
(neg.f64 (.f64 a (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -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))))))))
(.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64))))) (neg.f64 a))
(* 1/3 (sqrt -3))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)))
(+ (* -3/2 (/ a (sqrt -3))) (* 1/3 (sqrt -3)))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 #s(literal -3/2 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64)))))
(+ (* 1/3 (sqrt -3)) (* a (- (* -1/6 (/ (* a (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 3/2 (/ 1 (sqrt -3))))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64)) (*.f64 a (fma.f64 a (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 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))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 #s(literal -135/16 binary64) (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal -3/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))))
(* 1/3 (sqrt (/ 1 a)))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))
(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))))
(+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))))
(+ (* 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))))))
(fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* -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)))))
(.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(+ (* -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)))))
(fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (/.f64 (.f64 (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) (neg.f64 (.f64 a (.f64 a a)))))

rewrite479.0ms (4%)

Memory

0.8MiB live, 502.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 424×	`lower-fma.f64`
4 424×	`lower-fma.f32`
3 964×	`lower-*.f32`
3 958×	`lower-*.f64`
2 572×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	22	46
1	78	40
2	546	40
3	6493	40
0	8173	36

Stop Event

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

Counts

6 → 428

Calls

Call 1

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

Outputs
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand)))
(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 (neg.f64 rand) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(/.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(/.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 rand)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 rand #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (/.f64 (neg.f64 rand) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (/.f64 (neg.f64 rand) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(pow.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) rand) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 1 binary64)))
(*.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 #s(literal -1/3 binary64) (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 rand (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand #s(literal 1/3 binary64)))
(*.f64 (neg.f64 rand) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) rand))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(.f64 (.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(.f64 (/.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
(+.f64 #s(literal -3 binary64) (*.f64 #s(literal 9 binary64) a))
(+.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64))
(exp.f64 (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))
(fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)) #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))))
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)) #s(literal -1/3 binary64)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64)) (+.f64 #s(literal 1/3 binary64) a))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)) #s(literal -1/3 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) (+.f64 #s(literal -1/3 binary64) (neg.f64 a)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 9 binary64) a) #s(literal 3 binary64)) #s(literal -27 binary64)) (fma.f64 (.f64 #s(literal 9 binary64) a) (.f64 #s(literal 9 binary64) a) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 9 binary64) a) (.f64 #s(literal 9 binary64) a)) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal 9 binary64) a) #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 9 binary64) (neg.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (*.f64 #s(literal 9 binary64) (neg.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (+.f64 #s(literal -1/3 binary64) (neg.f64 a)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) #s(literal 9 binary64)) (+.f64 #s(literal -1/3 binary64) (neg.f64 a)))
(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (fma.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) a) (fma.f64 #s(literal 9 binary64) (*.f64 a a) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 #s(literal 9 binary64) (+.f64 a #s(literal -1/3 binary64)))
(.f64 #s(literal 9 binary64) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 9 binary64))
(*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) #s(literal 9 binary64)))
(.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(.f64 (fma.f64 a a #s(literal -1/9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 9 binary64)))
(*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 a (*.f64 a a)) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(.f64 (fma.f64 #s(literal 9 binary64) (.f64 a a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 9 binary64))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)) #s(literal -1/3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)) (.f64 a a)) (.f64 a (.f64 a (*.f64 a a)))))
(.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 a (.f64 a a)) #s(literal -1/3 binary64)) (.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))) (-.f64 (.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))) (-.f64 (.f64 a a) (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 a a) #s(literal -1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (.f64 a a) #s(literal -1 binary64)) (fma.f64 a (.f64 a a) #s(literal 1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 #s(literal 1/3 binary64) a)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(+.f64 (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(+.f64 (+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(-.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(-.f64 (/.f64 (.f64 a a) (+.f64 #s(literal 1/3 binary64) a)) (-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))) (/.f64 (.f64 (/.f64 (.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (.f64 a (.f64 a a)) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (*.f64 a a) (+.f64 #s(literal 1/3 binary64) a))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) a)))
(fma.f64 #s(literal 1 binary64) a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 a #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.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 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (*.f64 rand a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) a (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) #s(literal -1/3 binary64) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 #s(literal -1 binary64) (.f64 (/.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 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 rand (.f64 rand rand)) (.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 rand (.f64 rand rand)) (.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 rand (.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) a) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) #s(literal -1/3 binary64)) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) #s(literal 1 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 rand (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 rand (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) rand) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (+.f64 #s(literal 1/3 binary64) a))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64))))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (neg.f64 a))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 rand a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) a)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (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 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (.f64 a (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (fma.f64 #s(literal -1/9 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)))
(fma.f64 (.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))) (fma.f64 a (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) a))
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(.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand (.f64 rand rand)) (.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))) (+.f64 (fma.f64 rand (/.f64 rand (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal 1/4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
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(/.f64 (*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) #s(literal 3 binary64)) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))
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(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/2 binary64))
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(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64))
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(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(neg.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
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(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
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(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(.f64 #s(literal 1/3 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/4 binary64)))
(.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) a (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) a)))

eval77.0ms (0.6%)

Memory: -18.0MiB live, 179.5MiB allocated
Compiler: Compiled 14 408 to 1 936 computations (86.6% saved)

prune130.0ms (1.1%)

Memory

14.7MiB live, 205.8MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	503	10	513
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	504	10	514

Accuracy

100.0%

Counts

514 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
	99.8%	(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
	87.7%	(fma.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
▶	87.6%	(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
▶	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
▶	99.8%	#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(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
	97.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) a))
▶	62.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
	38.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))
▶	80.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 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))))

Compiler

Compiled 280 to 186 computations (33.6% saved)

simplify268.0ms (2.2%)

Memory

-10.8MiB live, 395.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
✓	cost-diff	0	(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
✓	cost-diff	64	(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
✓	cost-diff	128	(-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
✓	cost-diff	0	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	0	(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))
✓	cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 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))))
✓	cost-diff	832	(*.f64 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)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	0	#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(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
✓	cost-diff	128	(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	0	(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))

Rules

8 386×	`lower-fma.f32`
8 380×	`lower-fma.f64`
2 682×	`lower-*.f32`
2 674×	`lower-*.f64`
1 642×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	257
0	54	251
1	103	242
2	231	242
3	613	242
4	1387	242
5	3073	242
6	5888	242
7	7758	242
0	8067	237

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (1.1%)

Memory

11.7MiB live, 279.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
✓	accuracy	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
✓	accuracy	99.4%	(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
✓	accuracy	87.3%	(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
✓	accuracy	99.8%	(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))
✓	accuracy	80.7%	(*.f64 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)))
✓	accuracy	100.0%	#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(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) rand)
✓	accuracy	100.0%	(+.f64 a #s(literal -1/3 binary64))
✓	accuracy	62.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
✓	accuracy	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
✓	accuracy	99.6%	(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
✓	accuracy	99.4%	(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))

Samples

68.0ms	242×	0	valid
5.0ms	8×	2	valid
3.0ms	6×	1	valid

Compiler

Compiled 254 to 37 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 14.0ms (26.5% of total)

ival-add: 12.0ms (22.7% of total)

ival-div: 8.0ms (15.2% of total)

const: 7.0ms (13.3% of total)

ival-sqrt: 5.0ms (9.5% of total)

ival-sub: 3.0ms (5.7% of total)

adjust: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.7%)

Memory

-31.4MiB live, 67.7MiB allocated

Counts

18 → 384

Calls

Call 1

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

Outputs
#<alt (* -1/3 (+ 1 (* rand (sqrt -1/3))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
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#<alt (* -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))))))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -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))))))))))>
#<alt (+ (* -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)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 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)))>
#<alt (- (+ (* 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)))>
#<alt (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))>
#<alt (* 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))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))>
#<alt (* -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))))>
#<alt (* -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))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- 1/3 (* -1/3 (* rand (sqrt -1/3))))>
#<alt (- (+ 1/3 (* -1 (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (* -1/3 (* rand (sqrt -1/3))))>
#<alt (- (+ 1/3 (* a (- (* -1 (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))) (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (* -1/3 (* rand (sqrt -1/3))))>
#<alt (- (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))) (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))) (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (* -1/3 (* rand (sqrt -1/3))))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* a (- (* 1/3 (/ 1 a)) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a))) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) (pow a 3))) (* 1/3 (/ 1 a))) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1 (* a (- (* -1 (/ (- 1/3 (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (+ 1/3 (* 1/18 (* (sqrt (/ 1 a)) rand))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (+ 1/3 (* -1 (/ (- (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) a)) (* 1/18 (* (sqrt a) rand))) a))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt 1/3>
#<alt (+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))>
#<alt (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))>
#<alt (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))>
#<alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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))))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))>
#<alt (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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)))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1/3 rand)>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (* a rand)>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a rand)>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (sqrt -3)>
#<alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))>
#<alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* 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)))))))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (/ -1/3 rand)>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (/ a rand)>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (/ a rand)>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>

Calls

96 calls:

Time	Variable		Point	Expression
14.0ms	rand	@	0	(* rand (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)))
2.0ms	a	@	inf	(+ (* (sqrt (+ a -1/3)) (* 1/3 rand)) (+ a -1/3))
1.0ms	a	@	0	(+ (* (sqrt (+ a -1/3)) (* 1/3 rand)) (+ a -1/3))
1.0ms	a	@	0	(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3)))))
1.0ms	rand	@	0	(* (+ a -1/3) (+ 1 (/ rand (sqrt (+ (* 9 a) -3)))))

simplify522.0ms (4.4%)

Memory

47.2MiB live, 757.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 628×	`lower-fma.f64`
13 628×	`lower-fma.f32`
6 204×	`lower-*.f64`
6 204×	`lower-*.f32`
5 488×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	750	7631
1	2440	6615
0	8431	6100

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 382

Calls

Call 1

Inputs
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
1
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(+ 1 (* rand (sqrt -1/3)))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt -1/3))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 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)
(- (+ (* 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)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* 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))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -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)))
(* -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)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (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))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* 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))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* 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)))))
(+ (* 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)))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(* 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))))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(* -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))))))
(* -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))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(- (+ (* 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)))
(- (+ (* 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)))
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))
(* 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))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
(* -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))))
(* -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))))
(/ (- a 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- 1/3 (* -1/3 (* rand (sqrt -1/3))))
(- (+ 1/3 (* -1 (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (* -1/3 (* rand (sqrt -1/3))))
(- (+ 1/3 (* a (- (* -1 (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))) (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (* -1/3 (* rand (sqrt -1/3))))
(- (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))) (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))) (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (* -1/3 (* rand (sqrt -1/3))))
(* -1/3 (* (sqrt a) rand))
(* a (- (* 1/3 (/ 1 a)) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a))) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) (pow a 3))) (* 1/3 (/ 1 a))) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) rand))
(* -1 (* a (- (* -1 (/ (- 1/3 (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (- (* -1 (/ (- (+ 1/3 (* 1/18 (* (sqrt (/ 1 a)) rand))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (- (* -1 (/ (- (+ 1/3 (* -1 (/ (- (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) a)) (* 1/18 (* (sqrt a) rand))) a))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
1/3
(+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))
(+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))
(+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))
(* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
(* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))
(* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))
(* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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))))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1/3 (* rand (sqrt -1/3)))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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)))))))
(* 1/3 (* (sqrt a) rand))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1/3 rand)
(+ (* -1/3 rand) (* a rand))
(+ (* -1/3 rand) (* a rand))
(+ (* -1/3 rand) (* a rand))
(* a rand)
(* a (+ rand (* -1/3 (/ rand a))))
(* a (+ rand (* -1/3 (/ rand a))))
(* a (+ rand (* -1/3 (/ rand a))))
(* a rand)
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* 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)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/ a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(/ a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)

Outputs
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))) a))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 (.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* 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))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* 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))))))))
(fma.f64 a (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 binary64) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a)
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/6 binary64)) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64) (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/18 binary64)))) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) a) a (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) a) a (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) a) a (neg.f64 a)))
1
#s(literal 1 binary64)
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 rand))
(+ 1 (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 (.f64 a #s(literal -1/2 binary64)) (fma.f64 a (/.f64 (.f64 rand #s(literal 9/4 binary64)) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(fma.f64 a (fma.f64 (.f64 a #s(literal -1/2 binary64)) (fma.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 #s(literal 45/8 binary64) (.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand #s(literal 1/54 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+.f64 (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (.f64 (.f64 #s(literal 3/2 binary64) (.f64 rand (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64)) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64)) (fma.f64 rand (fma.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/54 binary64)) (.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) #s(literal 3/2 binary64)))) (.f64 a (*.f64 a a)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (.f64 a (fma.f64 (.f64 a #s(literal -1/2 binary64)) (fma.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 #s(literal 45/8 binary64) (.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 3/2 binary64) (*.f64 rand (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal -1/54 binary64))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64)))) (/.f64 (fma.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/54 binary64)) (.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) #s(literal 3/2 binary64)))) (.f64 a (.f64 a a))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* a (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) (pow a 3))) (* 1/3 (/ 1 a))) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(.f64 a (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) (/.f64 #s(literal 0 binary64) (.f64 a (.f64 a a)))) (.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))))
(* -1/3 (* (sqrt a) rand))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64)))
(* -1 (* a (- (* -1 (/ (- 1/3 (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) (neg.f64 a))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (- (+ 1/3 (* 1/18 (* (sqrt (/ 1 a)) rand))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (neg.f64 (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/6 binary64) #s(literal 1/3 binary64)) a))) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (- (+ 1/3 (* -1 (/ (- (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) a)) (* 1/18 (* (sqrt a) rand))) a))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 a)) rand (/.f64 #s(literal 0 binary64) a)) a))) (neg.f64 a))) (neg.f64 a))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))
(fma.f64 (*.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))
(fma.f64 (*.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))
(fma.f64 (*.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(.f64 (.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
(fma.f64 (*.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
(fma.f64 (*.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
(fma.f64 (*.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(.f64 (.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))
(fma.f64 (*.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))
(fma.f64 (*.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))
(fma.f64 (*.f64 rand (+.f64 (neg.f64 a) #s(literal 1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))) a))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 (.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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))))))) (* 1/3 (/ 1 a))))
(.f64 a (+.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 binary64) (.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (.f64 #s(literal 1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) a)) a (neg.f64 a)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/6 binary64)) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64) (.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/18 binary64)))) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand))) (neg.f64 rand))
(* -1/3 (* rand (sqrt -1/3)))
(.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))
(fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))) (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))
(fma.f64 a (fma.f64 rand (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 a (+.f64 (/.f64 (.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(* 1/3 (* (sqrt a) rand))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 a (.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/18 binary64)))))
(* a (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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)))))))
(.f64 a (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 binary64) (.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))))))
(* 1/3 (* (sqrt a) rand))
(.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand)))))
(.f64 (.f64 rand (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/6 binary64))) (neg.f64 a))) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand)) (/.f64 (fma.f64 rand (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/9 binary64)) (/.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64) (.f64 rand (*.f64 (sqrt.f64 a) #s(literal 1/18 binary64)))) (neg.f64 a))) a)) (neg.f64 a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1/3 rand)
(*.f64 #s(literal -1/3 binary64) rand)
(+ (* -1/3 rand) (* a rand))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(+ (* -1/3 rand) (* a rand))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(+ (* -1/3 rand) (* a rand))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* a rand)
(*.f64 rand a)
(* a (+ rand (* -1/3 (/ rand a))))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (/.f64 rand a) rand))
(* a (+ rand (* -1/3 (/ rand a))))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (/.f64 rand a) rand))
(* a (+ rand (* -1/3 (/ rand a))))
(*.f64 a (fma.f64 #s(literal -1/3 binary64) (/.f64 rand a) rand))
(* a rand)
(*.f64 rand a)
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand a) (neg.f64 rand))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand a) (neg.f64 rand))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(neg.f64 (*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand a) (neg.f64 rand))))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 #s(literal 27/8 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal 729/16 binary64) a) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* 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)))))))
(.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))))) (neg.f64 a))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(* 1/3 rand)
(*.f64 rand #s(literal 1/3 binary64))
(/ -1/3 rand)
(/.f64 #s(literal -1/3 binary64) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ a rand)
(/.f64 a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(+.f64 (/.f64 a rand) (.f64 a (/.f64 #s(literal -1/3 binary64) (.f64 rand a))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(+.f64 (/.f64 a rand) (.f64 a (/.f64 #s(literal -1/3 binary64) (.f64 rand a))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(+.f64 (/.f64 a rand) (.f64 a (/.f64 #s(literal -1/3 binary64) (.f64 rand a))))
(/ a rand)
(/.f64 a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 rand a)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 rand a)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 a))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 rand a)) (/.f64 #s(literal -1 binary64) rand)) (neg.f64 a))
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)
(/ (- a 1/3) rand)
(/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)

rewrite496.0ms (4.1%)

Memory

-18.8MiB live, 811.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 108×	`lower-fma.f32`
5 102×	`lower-fma.f64`
4 048×	`lower-/.f32`
4 042×	`lower-/.f64`
3 786×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	206
0	54	200
1	240	191
2	2365	191
0	8582	191

Stop Event

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

Counts

18 → 1 095

Calls

Call 1

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

Outputs
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(+.f64 #s(literal -1/3 binary64) (+.f64 a (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a)
(+.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a) (.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)) (.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a))
(+.f64 (.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))) (.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 a a))) (/.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (*.f64 a a))))
(-.f64 (/.f64 (.f64 a a) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (/.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(-.f64 (/.f64 (.f64 a a) (-.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (/.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (-.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 a (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) #s(literal -1/3 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) a))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.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 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) #s(literal -1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 rand #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a)
(fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 rand) #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
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(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
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(/.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64)))
(/.f64 (.f64 rand (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (.f64 rand (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)))) (-.f64 (*.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 (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand)))) rand) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand))) rand) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
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(/.f64 (-.f64 (.f64 a (.f64 a a)) (pow.f64 (-.f64 #s(literal 1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (.f64 a (-.f64 #s(literal 1/3 binary64) (.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))))
(/.f64 (-.f64 (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal 1/3 binary64)))))
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(pow.f64 (/.f64 (-.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1 binary64))
(*.f64 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 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) rand)
(.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (.f64 rand (.f64 rand rand)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)))))
(.f64 (-.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 a #s(literal 1/3 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))))
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(/.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal -1/3 binary64)))
(/.f64 (.f64 rand (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (.f64 rand (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)))) (-.f64 (*.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 (.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand)))) rand) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand))) rand) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
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(/.f64 (neg.f64 (.f64 rand (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand))))) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
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(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)) (.f64 #s(literal -1/3 binary64) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (.f64 a (.f64 a a))) (fma.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) (-.f64 (.f64 a a) (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1/3 binary64)) a))))
(/.f64 (-.f64 (.f64 a (.f64 a a)) (pow.f64 (-.f64 #s(literal 1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (-.f64 #s(literal 1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/3 binary64) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (.f64 a (-.f64 #s(literal 1/3 binary64) (.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))))
(/.f64 (-.f64 (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a))) #s(literal 1/27 binary64)) (fma.f64 (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (fma.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) a) #s(literal 1/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)) (-.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)) (-.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)) (-.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))) (.f64 (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)) (-.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64))))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (.f64 rand (*.f64 rand rand))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) #s(literal -1 binary64))
(*.f64 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 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) rand)
(.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (.f64 rand (.f64 rand rand)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)))))
(.f64 (-.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 rand rand)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 rand (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
(+.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(+.f64 (*.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 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (.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 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (-.f64 (*.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 (/.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(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))
(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 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (+.f64 a #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (pow.f64 (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (pow.f64 (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (pow.f64 (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) rand) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) rand) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1 binary64)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (*.f64 rand rand))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.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 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (*.f64 rand rand)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.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 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand)))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand)))) (+.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))))
(/.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand))) (-.f64 (.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 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand))))) (neg.f64 (+.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)))) (neg.f64 (-.f64 (.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 (-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand)))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand))))) (neg.f64 (neg.f64 (-.f64 (.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 (neg.f64 (-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (-.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (.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 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) (fma.f64 (/.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (-.f64 (.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 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (-.f64 (.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 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 (.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 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)) (-.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (*.f64 rand rand))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.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 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand)))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))) (.f64 rand (.f64 rand rand)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64) (.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (-.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))))
(.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 rand rand))) (/.f64 #s(literal 1 binary64) (-.f64 (*.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 #s(literal 1/3 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(+.f64 (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 (+.f64 a #s(literal -1/3 binary64)) rand))) (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 27 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) #s(literal 1/3 binary64))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal 1/3 binary64))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64))
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(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) #s(literal -1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 rand #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a)
(fma.f64 (*.f64 rand (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 rand (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (/.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 rand (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand rand) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -1 binary64)) (/.f64 rand rand) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -3 binary64)) (/.f64 (neg.f64 rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (/.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 rand) #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal 3 binary64)) (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) #s(literal -3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 a a)) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 a a)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 a a)) (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 a a)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))))
(/.f64 (.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 a a)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (+.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 a a)))
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(/.f64 (sqrt.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 a a) #s(literal 81 binary64)))) (sqrt.f64 (-.f64 #s(literal -3 binary64) (*.f64 a #s(literal 9 binary64)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 9 binary64) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 9 binary64) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 9 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 9 binary64))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 9 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 9 binary64))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 (.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (.f64 a #s(literal -27 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (+.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 (sqrt.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal -27 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 729 binary64) #s(literal -27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a a) #s(literal 81 binary64) #s(literal 9 binary64)) (*.f64 a #s(literal -27 binary64))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 a a) #s(literal 81 binary64) #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)
(exp.f64 (*.f64 (log.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 a rand) (/.f64 #s(literal 1/3 binary64) rand))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 rand)) (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand))
(-.f64 (/.f64 (/.f64 (.f64 a (.f64 a a)) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) rand) (/.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) rand))
(-.f64 (/.f64 (/.f64 (*.f64 a a) (+.f64 a #s(literal 1/3 binary64))) rand) (/.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 a #s(literal 1/3 binary64))) rand))
(-.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64))))))
(-.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/27 binary64) (.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(-.f64 (/.f64 (.f64 a a) (.f64 rand (+.f64 a #s(literal 1/3 binary64)))) (/.f64 #s(literal 1/9 binary64) (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) rand))
(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
(/.f64 #s(literal 1 binary64) (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (neg.f64 rand))
(/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 rand (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64))) rand))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) rand))
(/.f64 (.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 a #s(literal 1/3 binary64)) rand))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (.f64 rand (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (neg.f64 (.f64 rand (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64))) (neg.f64 (*.f64 rand (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a))) (neg.f64 (neg.f64 rand)))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand)) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64))) rand)))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) rand)))
(/.f64 (neg.f64 (.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 a #s(literal 1/3 binary64)) rand)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)))) (neg.f64 (neg.f64 (neg.f64 rand))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.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)))))
(pow.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 rand (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
(*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1/3 binary64) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (neg.f64 rand)))
(*.f64 (/.f64 #s(literal 1 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) rand) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) rand) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(.f64 (pow.f64 (/.f64 rand (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(*.f64 (pow.f64 (/.f64 rand (fma.f64 a a #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 #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 #s(literal 1 binary64) rand))
(.f64 (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) rand))
(.f64 (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) rand))
(.f64 (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) rand) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) rand) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) rand))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)))

eval438.0ms (3.7%)

Memory: 25.3MiB live, 607.0MiB allocated
Compiler: Compiled 56 156 to 4 640 computations (91.7% saved)

prune352.0ms (2.9%)

Memory

-3.5MiB live, 572.0MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	2 162	10	2 172
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	2 168	14	2 182

Accuracy

100.0%

Counts

2 182 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
	86.4%	(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
	97.8%	(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64)))))
✓	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
	98.7%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
	97.8%	#s(approx (- a (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3))))) (fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a))
▶	99.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))))
▶	98.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
	35.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))))
▶	62.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
✓	62.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
	43.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
▶	38.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))
▶	1.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))

Compiler

Compiled 288 to 202 computations (29.9% saved)

simplify318.0ms (2.7%)

Memory

19.2MiB live, 601.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 a)
✓	cost-diff	0	#s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))
✓	cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
✓	cost-diff	128	(fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
✓	cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
✓	cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
✓	cost-diff	1024	(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
✓	cost-diff	0	#s(approx (+ a -1/3) #s(literal -1/3 binary64))
✓	cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
✓	cost-diff	0	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	0	(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)
✓	cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))))
✓	cost-diff	128	(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)))

Rules

10 896×	`lower-fma.f32`
10 892×	`lower-fma.f64`
3 888×	`lower-*.f32`
3 880×	`lower-*.f64`
3 176×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	237
0	47	233
1	85	219
2	178	219
3	447	219
4	1171	219
5	4264	219
6	7996	219
0	8014	210

Stop Event

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

Calls

Call 1

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

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

localize393.0ms (3.3%)

Memory

-22.1MiB live, 179.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
✓	accuracy	99.9%	(fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) rand)
✓	accuracy	98.1%	#s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.6%	(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))
✓	accuracy	99.5%	(*.f64 #s(literal 1/3 binary64) rand)
✓	accuracy	38.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))
✓	accuracy	100.0%	(+.f64 a #s(literal -1/3 binary64))
✓	accuracy	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
✓	accuracy	77.7%	(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
✓	accuracy	62.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
✓	accuracy	62.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
✓	accuracy	1.1%	#s(approx (+ a -1/3) #s(literal -1/3 binary64))
✓	accuracy	100.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.8%	(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)))
✓	accuracy	99.6%	(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)

Samples

245.0ms

256×

valid

Compiler

Compiled 203 to 28 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-mult: 96.0ms (64.5% of total)

const: 36.0ms (24.2% of total)

ival-div: 6.0ms (4% of total)

ival-sqrt: 5.0ms (3.4% of total)

ival-add: 4.0ms (2.7% of total)

ival-sub: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory

26.7MiB live, 26.7MiB allocated

Counts

17 → 336

Calls

Call 1

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

Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 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)>
#<alt (- (+ (* 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)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* 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))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -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)))>
#<alt (* -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)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -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))))))))))>
#<alt (+ (* -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)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))>
#<alt (* (sqrt a) rand)>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (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))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -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))))))))))>
#<alt (+ (* -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)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
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#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (sqrt a)>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>

Calls

84 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(* (sqrt (+ a -1/3)) rand)
0.0ms	a	@	-inf	(* (sqrt (+ a -1/3)) (* 1/3 rand))
0.0ms	a	@	inf	(* (sqrt (+ a -1/3)) rand)
0.0ms	a	@	inf	(* (sqrt (+ a -1/3)) (* 1/3 rand))
0.0ms	a	@	-inf	(sqrt a)

simplify816.0ms (6.8%)

Memory

-27.6MiB live, 711.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18 084×	`lower-fma.f64`
18 084×	`lower-fma.f32`
6 154×	`lower-*.f64`
6 154×	`lower-*.f32`
5 324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	386	5887
1	1237	5162
2	4490	4886
0	8180	4503

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 330

Calls

Call 1

Inputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 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)
(- (+ (* 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)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* 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))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -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)))
(* -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)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* rand (sqrt -1/3))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (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))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* 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))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1/3 rand)
(+ (* -1/3 rand) (* a rand))
(+ (* -1/3 rand) (* a rand))
(+ (* -1/3 rand) (* a rand))
(* a rand)
(* a (+ rand (* -1/3 (/ rand a))))
(* a (+ rand (* -1/3 (/ rand a))))
(* a (+ rand (* -1/3 (/ rand a))))
(* a rand)
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -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 (* 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 (* 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)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 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)
(- (+ (* 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)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* 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))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -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)))
(* -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)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (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))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* 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))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)

Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 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)
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal -1/3 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)
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 binary64)) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/3 binary64) a)) a)
(* 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))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.f64 #s(literal -1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* -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)))
(.f64 a (neg.f64 (-.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64) #s(literal -1/3 binary64)) a))))
(* -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)))
(.f64 (-.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64) (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 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))))))))))
(fma.f64 a (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 9/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 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)))))))))))))
(fma.f64 a (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (.f64 a (fma.f64 (.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (.f64 #s(literal -1/6 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 45/16 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) a)) a)
(* 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))))))
(fma.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) a)) a)
(* 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))))))))
(fma.f64 a (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))) #s(literal 0 binary64))) a)
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 rand)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1 binary64))) (neg.f64 a))
(* -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)))))
(.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 rand (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) #s(literal -1/2 binary64))) a))))
(* -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)))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) #s(literal 0 binary64)) a)) a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (.f64 (.f64 rand a) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 3/8 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64))) (/.f64 (.f64 rand #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(.f64 (.f64 rand a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(.f64 a (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(.f64 a (.f64 rand (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64))))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 rand (sqrt.f64 a))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(.f64 a (.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(.f64 (.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(.f64 (.f64 (neg.f64 rand) (+.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64))))) (neg.f64 a))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 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))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 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))))))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -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))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -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)))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 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))))))))))
(fma.f64 a (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 9/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 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)))))))))))))
(fma.f64 a (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (.f64 a (fma.f64 (.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (.f64 #s(literal -1/6 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 45/16 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
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(* 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))))))
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(* 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))))))))
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(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
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(* -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)))))
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(* -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)))))
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
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#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
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(* 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))))))
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(* 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))))))))
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(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 rand)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1 binary64))) (neg.f64 a))
(* -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)))))
(.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 rand (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) #s(literal -1/2 binary64))) a))))
(* -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)))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) #s(literal 0 binary64)) a)) a)))
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1/3 rand)
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(* a rand)
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(* a (+ rand (* -1/3 (/ rand a))))
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(* a (+ rand (* -1/3 (/ rand a))))
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(* a rand)
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(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
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(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(*.f64 a (fma.f64 rand (/.f64 #s(literal -1/3 binary64) a) rand))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(*.f64 a (fma.f64 rand (/.f64 #s(literal -1/3 binary64) a) rand))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 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))))))))))
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(+ (* -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)))))))))))))
(fma.f64 a (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (.f64 a (fma.f64 (.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (.f64 #s(literal -1/6 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 45/16 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) a)) a)
(* 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))))))
(fma.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) a)) a)
(* 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))))))))
(fma.f64 a (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))) #s(literal 0 binary64))) a)
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 rand)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1 binary64))) (neg.f64 a))
(* -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)))))
(.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 rand (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) #s(literal -1/2 binary64))) a))))
(* -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)))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) #s(literal 0 binary64)) a)) a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt -1/3)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (.f64 #s(literal 1/6 binary64) (*.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 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))))))))
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (fma.f64 a (fma.f64 a (.f64 (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 binary64)) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))))
(* 1/3 (* (sqrt a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (.f64 rand a) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 a (.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* 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))))))
(.f64 a (.f64 rand (+.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(.f64 a (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -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))))))))
(.f64 (.f64 (neg.f64 rand) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (neg.f64 a))
(* -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)))))))))
(neg.f64 (.f64 a (.f64 (neg.f64 rand) (+.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64)))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 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)
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal -1/3 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)
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) #s(literal 1/48 binary64)) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))) (/.f64 #s(literal -1/3 binary64) a)) a)
(* 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))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.f64 #s(literal -1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* -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)))
(.f64 a (neg.f64 (-.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 1/18 binary64) #s(literal -1/3 binary64)) a))))
(* -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)))
(.f64 (-.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64) (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 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))))))))))
(fma.f64 a (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 9/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 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)))))))))))))
(fma.f64 a (+.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (.f64 a (fma.f64 (.f64 #s(literal 81/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) (+.f64 #s(literal 1/18 binary64) (.f64 #s(literal -1/6 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 45/16 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) a)) a)
(* 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))))))
(fma.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 (.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))) a)) a)
(* 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))))))))
(fma.f64 a (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))) #s(literal 0 binary64))) a)
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 rand)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1 binary64))) (neg.f64 a))
(* -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)))))
(.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 rand (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64)))) #s(literal -1/2 binary64))) a))))
(* -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)))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) #s(literal 0 binary64)) a)) a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 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))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 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))))))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -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))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -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)))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)

rewrite786.0ms (6.6%)

Memory

1.0MiB live, 442.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 586×	`lower-/.f32`
4 584×	`lower-/.f64`
4 546×	`lower-*.f32`
4 538×	`lower-*.f64`
4 328×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	205
0	47	201
1	166	187
2	1281	187
0	8290	182

Stop Event

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

Counts

17 → 438

Calls

Call 1

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

Outputs
(+.f64 a (+.f64 #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) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a))
(+.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 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #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 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))))
(-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal 1/3 binary64))
(-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 (.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)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))))
(-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.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 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (-.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 (/.f64 (.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #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)) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (sqrt.f64 (+.f64 a #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))))
(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 rand (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #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 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1 binary64) rand) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #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 (.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 rand)) (/.f64 #s(literal 1 binary64) (neg.f64 rand)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) rand) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand #s(literal 1 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 rand #s(literal 1 binary64)) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) rand) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (neg.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))
(fma.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) rand) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.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 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 rand (.f64 rand rand)) (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.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 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 rand (.f64 rand rand)) (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))) (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 rand (.f64 rand rand)) (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.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 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 rand (.f64 rand rand)) (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (.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)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 rand (.f64 rand rand)) (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.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 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 rand (.f64 rand rand)) (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (neg.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a) (.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a)) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #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) (-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))))) (-.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 (-.f64 (.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #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)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))) (.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 rand #s(literal 1/3 binary64)) (neg.f64 (+.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)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 rand (.f64 rand rand)) (.f64 #s(literal 1/27 binary64) (.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.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 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 rand #s(literal 1/3 binary64)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a) (.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #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) (-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)) a) #s(literal -1/3 binary64))))))
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(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 rand #s(literal 1 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) rand) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))
(fma.f64 (/.f64 rand #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 a #s(literal -1/3 binary64))) rand) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))
(fma.f64 (/.f64 (neg.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))
(fma.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) rand) (.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))))) (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 rand (.f64 rand rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))))) (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 rand (.f64 rand rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 rand (.f64 rand rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))))))
(/.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 rand (.f64 rand rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (*.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 rand (.f64 rand rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 rand (.f64 rand rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)) (-.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (*.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))) (neg.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a)) #s(literal -1/27 binary64)) (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) #s(literal -1/3 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a)) #s(literal 1/9 binary64)) (-.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 rand (.f64 rand rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (-.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))))) (neg.f64 (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))))
(/.f64 (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) #s(literal -1/3 binary64))))
(/.f64 (fma.f64 a (.f64 a a) (pow.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))) (.f64 a (+.f64 #s(literal -1/3 binary64) (.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a)))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a)) (.f64 #s(literal -1/3 binary64) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) a)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (.f64 a (.f64 a a))) (fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) (-.f64 (.f64 a a) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(literal -1/3 binary64)) a))))
(pow.f64 (/.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))))) (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 rand (.f64 rand rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64)))))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 #s(literal 1/27 binary64) (.f64 rand (.f64 rand rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (.f64 (.f64 rand #s(literal 1/3 binary64)) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))))))
(.f64 (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64))) (fma.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.f64 a #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (neg.f64 (+.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)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (+.f64 a #s(literal -1/3 binary64))))
#s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))
(exp.f64 (*.f64 (log.f64 a) #s(literal 1/2 binary64)))
(sqrt.f64 a)
(pow.f64 a #s(literal 1/2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 a #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 a #s(literal 1/4 binary64)) (pow.f64 a #s(literal 1/4 binary64)))
(*.f64 rand #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) rand)

eval454.0ms (3.8%)

Memory: -5.1MiB live, 296.9MiB allocated
Compiler: Compiled 23 182 to 2 059 computations (91.1% saved)

prune151.0ms (1.3%)

Memory

11.1MiB live, 340.7MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 297	3	1 300
Fresh	1	6	7
Picked	2	3	5
Done	0	2	2
Total	1 300	14	1 314

Accuracy

100.0%

Counts

1 314 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
	86.4%	(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
▶	97.8%	(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64)))))
✓	99.9%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
▶	98.7%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
	97.8%	#s(approx (- a (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3))))) (fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a))
✓	98.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
▶	61.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
✓	62.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
	43.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
✓	38.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))
	37.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(literal 1/3 binary64) rand)))
✓	1.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
▶	37.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))

Compiler

Compiled 246 to 173 computations (29.7% saved)

simplify234.0ms (2%)

Memory

18.7MiB live, 368.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
✓	cost-diff	0	(*.f64 (sqrt.f64 a) #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64)))
✓	cost-diff	0	#s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64))))
✓	cost-diff	0	(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64)))))
✓	cost-diff	0	(*.f64 rand (sqrt.f64 a))
✓	cost-diff	0	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
✓	cost-diff	0	#s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
✓	cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
✓	cost-diff	0	(*.f64 rand a)
✓	cost-diff	0	#s(approx (* (+ a -1/3) rand) (*.f64 rand a))
✓	cost-diff	0	(/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)
✓	cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
✓	cost-diff	0	(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓	cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
✓	cost-diff	64	(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
✓	cost-diff	128	(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))

Rules

8 932×	`lower-fma.f32`
8 930×	`lower-fma.f64`
2 880×	`lower-*.f32`
2 864×	`lower-*.f64`
1 698×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	283
0	68	283
1	122	279
2	267	278
3	743	278
4	1836	278
5	3387	278
6	4994	278
7	6670	278
8	7896	278
0	8175	266

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (1.2%)

Memory

-15.9MiB live, 262.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
✓	accuracy	99.6%	(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
✓	accuracy	99.6%	(/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
✓	accuracy	98.1%	#s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
✓	accuracy	100.0%	(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64)))))
✓	accuracy	99.6%	(.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64)))
✓	accuracy	99.4%	(*.f64 (sqrt.f64 a) #s(literal -1/3 binary64))
✓	accuracy	65.2%	#s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64))))
✓	accuracy	99.7%	(*.f64 rand (sqrt.f64 a))
✓	accuracy	99.4%	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
✓	accuracy	98.1%	#s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
✓	accuracy	38.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
✓	accuracy	100.0%	(*.f64 rand a)
✓	accuracy	98.0%	#s(approx (* (+ a -1/3) rand) (*.f64 rand a))
✓	accuracy	77.7%	(/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)
✓	accuracy	62.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
✓	accuracy	100.0%	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
✓	accuracy	99.7%	(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
✓	accuracy	99.4%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))

Samples

78.0ms

256×

valid

Compiler

Compiled 217 to 44 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 22.0ms (37.8% of total)

ival-div: 13.0ms (22.3% of total)

ival-sqrt: 7.0ms (12% of total)

const: 7.0ms (12% of total)

ival-add: 6.0ms (10.3% of total)

ival-sub: 3.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory

11.1MiB live, 49.2MiB allocated

Counts

22 → 456

Calls

Call 1

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

Outputs
#<alt -1/9>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (- (* 1/3 a) 1/9)>
#<alt (* 1/3 a)>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* a (- 1/3 (* 1/9 (/ 1 a))))>
#<alt (* 1/3 a)>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 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)>
#<alt (- (+ (* 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)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* 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))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
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#<alt (* a (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) (pow a 3))) (* 1/3 (/ 1 a))) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1 (* a (- (* -1 (/ (- 1/3 (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (+ 1/3 (* 1/18 (* (sqrt (/ 1 a)) rand))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* a (- (* -1 (/ (- (+ 1/3 (* -1 (/ (- (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) a)) (* 1/18 (* (sqrt a) rand))) a))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt 1/3>
#<alt (+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))>
#<alt (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))>
#<alt (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))>
#<alt (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* -1/3 (* (sqrt a) rand))>
#<alt (* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1/3 (sqrt a))>
#<alt (* -1/3 (sqrt a))>
#<alt (* -1/3 (sqrt a))>
#<alt (* -1/3 (sqrt a))>
#<alt (* -1/3 (sqrt a))>
#<alt (* -1/3 (sqrt a))>
#<alt (* -1/3 (sqrt a))>
#<alt (* -1/3 (sqrt a))>
#<alt (* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (+ 1 (* rand (sqrt -1/3))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))>
#<alt (+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 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))))))>
#<alt (* 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))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt 1>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))>
#<alt (+ 1 (* rand (sqrt -1/3)))>
#<alt (+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))>
#<alt (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))>
#<alt (* 1/3 (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (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))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* 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))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (sqrt -3)>
#<alt (+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))>
#<alt (+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))>
#<alt (* 3 (sqrt a))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))>
#<alt (* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))>
#<alt (* 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)))))))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* 3 (sqrt a))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt a) (pow (sqrt -1) 2)))>

Calls

114 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(/ rand (sqrt (+ a -1/3)))
2.0ms	rand	@	-inf	(* 1/3 (* rand (sqrt a)))
1.0ms	a	@	-inf	(* 1/3 (* rand (sqrt a)))
1.0ms	rand	@	0	(* 1/3 (* rand (sqrt a)))
0.0ms	a	@	-inf	(+ (* (* (+ a -1/3) 1/3) (/ rand (sqrt (+ a -1/3)))) (+ a -1/3))

simplify399.0ms (3.3%)

Memory

-0.4MiB live, 703.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 312×	`lower-fma.f64`
13 312×	`lower-fma.f32`
6 298×	`lower-*.f64`
6 298×	`lower-*.f32`
5 182×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	712	6798
1	2290	6019
0	8055	5599

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 452

Calls

Call 1

Inputs
-1/9
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(- (* 1/3 a) 1/9)
(* 1/3 a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(* 1/3 a)
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 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)
(- (+ (* 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)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* 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))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(* (sqrt (/ 1 a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
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(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(- a 1/3)
(* -1/3 rand)
(+ (* -1/3 rand) (* a rand))
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(* a rand)
(* a (+ rand (* -1/3 (/ rand a))))
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(* a (+ rand (* -1/3 (/ rand a))))
(* a rand)
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(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* rand (- a 1/3))
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* a rand)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(+ (* -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))))))))))
(+ (* -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)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -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)))))
(* -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)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(* 1/3 (* (sqrt a) rand))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -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 (* 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 (* 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)))))))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
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(* (sqrt a) rand)
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(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* (sqrt a) rand)
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -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))))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(- 1/3 (* -1/3 (* rand (sqrt -1/3))))
(- (+ 1/3 (* -1 (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (* -1/3 (* rand (sqrt -1/3))))
(- (+ 1/3 (* a (- (* -1 (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))) (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (* -1/3 (* rand (sqrt -1/3))))
(- (+ 1/3 (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))) (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))) (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) (* -1/3 (* rand (sqrt -1/3))))
(* -1/3 (* (sqrt a) rand))
(* a (- (* 1/3 (/ 1 a)) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (/ 1 a))) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) (pow a 3))) (* 1/3 (/ 1 a))) (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1/3 (* (sqrt a) rand))
(* -1 (* a (- (* -1 (/ (- 1/3 (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (- (* -1 (/ (- (+ 1/3 (* 1/18 (* (sqrt (/ 1 a)) rand))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (- (* -1 (/ (- (+ 1/3 (* -1 (/ (- (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) a)) (* 1/18 (* (sqrt a) rand))) a))) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand)))))
1/3
(+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))
(+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))
(+ 1/3 (* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))))
(* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
(* -1 (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))
(* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))
(* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* 1/3 (/ 1 rand))))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* -1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(* -1/3 (sqrt a))
(* -1/3 (sqrt a))
(* -1/3 (sqrt a))
(* -1/3 (sqrt a))
(* -1/3 (sqrt a))
(* -1/3 (sqrt a))
(* -1/3 (sqrt a))
(* -1/3 (sqrt a))
(* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* 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))))))
(* 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))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
1
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(+ 1 (* rand (sqrt -1/3)))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt -1/3))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (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))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* 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))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -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))))))
(* -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)))))))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* 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)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* 3 (sqrt a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))

Outputs
-1/9
#s(literal -1/9 binary64)
(- (* 1/3 a) 1/9)
(fma.f64 #s(literal 1/3 binary64) a #s(literal -1/9 binary64))
(- (* 1/3 a) 1/9)
(fma.f64 #s(literal 1/3 binary64) a #s(literal -1/9 binary64))
(- (* 1/3 a) 1/9)
(fma.f64 #s(literal 1/3 binary64) a #s(literal -1/9 binary64))
(* 1/3 a)
(*.f64 #s(literal 1/3 binary64) a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* a (- 1/3 (* 1/9 (/ 1 a))))
(*.f64 a (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) a)))
(* 1/3 a)
(*.f64 #s(literal 1/3 binary64) a)
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(neg.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/9 binary64) a) #s(literal -1/3 binary64))))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(neg.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/9 binary64) a) #s(literal -1/3 binary64))))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(neg.f64 (*.f64 a (+.f64 (/.f64 #s(literal 1/9 binary64) a) #s(literal -1/3 binary64))))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) (fma.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 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)
(fma.f64 a (fma.f64 a (.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 rand (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 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)
(fma.f64 a (fma.f64 a (fma.f64 (.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 rand (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(.f64 a (+.f64 (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) a)))
(* 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))))
(+.f64 a (.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal -1/3 binary64) a)))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(neg.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) a)) a (neg.f64 a)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 rand (fma.f64 #s(literal 1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 a)))) (neg.f64 a))) (neg.f64 a))) (neg.f64 a))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 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)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 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)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 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)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.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))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.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))) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.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))) (neg.f64 rand))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
(* a (- 1 (* 1/3 (/ 1 a))))
(+.f64 a (*.f64 a (/.f64 #s(literal -1/3 binary64) a)))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) a) a (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) a) a (neg.f64 a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) a) a (neg.f64 a)))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt (/ 1 (- a 1/3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(* rand (sqrt -3))
(*.f64 rand (sqrt.f64 #s(literal -3 binary64)))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (.f64 #s(literal -9/2 binary64) a) (.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(fma.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -81/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -9/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(fma.f64 a (fma.f64 a (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 rand #s(literal 405/8 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -81/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 (.f64 #s(literal -9/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/18 binary64)) (fma.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64))) #s(literal 1/2 binary64)))))
(* (sqrt (/ 1 a)) rand)
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal -1/6 binary64) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 rand (fma.f64 a #s(literal -1/36 binary64) #s(literal 1/27 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (.f64 rand (sqrt.f64 a)))) (.f64 a (.f64 a a)))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/9 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/3 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))))))))))
(+.f64 (fma.f64 #s(literal -1/9 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/3 binary64)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64) (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) a))
(+ (* -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)))))))))))))
(+.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (+.f64 (/.f64 (.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64) (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 #s(literal -1/9 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/3 binary64))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* 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))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* 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))))))))
(fma.f64 a (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 binary64) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a))) a)
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 a (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1/3 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64))) (neg.f64 a))
(* -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)))))
(.f64 (-.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal -9 binary64))) #s(literal -1/3 binary64))) (neg.f64 a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (.f64 rand (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -9 binary64))) #s(literal 1 binary64))) (neg.f64 a))
(* -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)))))
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(- a 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(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)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(*.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))) (neg.f64 rand))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
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(- a 1/3)
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a
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
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(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
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(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
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(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
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(- 1/3 (* -1/3 (* rand (sqrt -1/3))))
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(* -1/3 (* (sqrt a) rand))
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(* -1/3 (* (sqrt a) rand))
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1/3
#s(literal 1/3 binary64)
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(* rand (- (* 1/3 (/ 1 rand)) (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))))
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(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* 1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* -1/3 (sqrt a))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* -1/3 (sqrt a))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* -1/3 (sqrt a))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* -1/3 (sqrt a))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* -1/3 (sqrt a))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* -1/3 (sqrt a))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* -1/3 (sqrt a))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* -1/3 (sqrt a))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* -1/3 (+ 1 (* rand (sqrt -1/3))))
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1/3 binary64))
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(fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))))) a))
(+ (* -1/3 (+ 1 (* rand (sqrt -1/3)))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3)))))))
(fma.f64 #s(literal -1/3 binary64) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 a (fma.f64 a (fma.f64 a (+.f64 (/.f64 (.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 #s(literal 15/16 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 3/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (.f64 #s(literal 1/6 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* 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))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a)) a)
(* 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))))))))
(fma.f64 a (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 0 binary64) (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a)
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(neg.f64 (.f64 a (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/6 binary64)) #s(literal -1/3 binary64)) a))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/9 binary64)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/18 binary64)) (.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64))) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 a #s(literal -1/3 binary64))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 rand) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 rand) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (neg.f64 rand) (neg.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
1
#s(literal 1 binary64)
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+ 1 (* rand (sqrt (/ 1 (- (* 9 a) 3)))))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (+ (sqrt (/ 1 (- (* 9 a) 3))) (/ 1 rand)))
(fma.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)))
(* -1 (* rand (- (* -1 (sqrt (/ 1 (- (* 9 a) 3)))) (/ 1 rand))))
(*.f64 (neg.f64 rand) (+.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) rand)))
(+ 1 (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3))))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 (fma.f64 a (.f64 #s(literal 9/4 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a) #s(literal 1 binary64)))
(+ 1 (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3))))
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 #s(literal 45/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a)))))))))
(+.f64 (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (.f64 rand (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64))) #s(literal 3/2 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 rand #s(literal 1/54 binary64)) #s(literal 1 binary64)))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))) #s(literal 1 binary64))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 rand #s(literal -1/18 binary64)) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/54 binary64)) (.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) #s(literal 3/2 binary64)))) (.f64 a (*.f64 a a)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* -1/2 (/ (* a (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))))) (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))))) (sqrt -1/3))) (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 #s(literal 45/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -9/8 binary64) rand) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/3 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/3 (* (sqrt (/ 1 a)) rand)) (* 3/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/243 (* 1/324 a))))))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (*.f64 rand (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64))) #s(literal 3/2 binary64)))))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 rand #s(literal -1/54 binary64)) (.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))))))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 3/2 (* (sqrt (/ 1 a)) (* rand (+ 1/243 (* -1/324 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(-.f64 (.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))))) (/.f64 (fma.f64 rand (.f64 (sqrt.f64 a) #s(literal 1/54 binary64)) (.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (fma.f64 a #s(literal -1/324 binary64) #s(literal 1/243 binary64)) #s(literal 3/2 binary64)))) (.f64 a (.f64 a a))))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 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))))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) a) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* 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))))))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 a)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64))) (neg.f64 a))
(* -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))))))
(.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64))) (neg.f64 a))
(* -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)))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64)))))))
(sqrt -3)
(sqrt.f64 #s(literal -3 binary64))
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(fma.f64 a (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 #s(literal 27/8 binary64) (/.f64 a (sqrt.f64 #s(literal -3 binary64))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 (*.f64 #s(literal 729/16 binary64) a) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -27/8 binary64) (sqrt.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 9/2 binary64) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 #s(literal -3 binary64)))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(.f64 a (fma.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(.f64 a (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 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)))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/24 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/144 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/2 binary64))))) (neg.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* 3 (sqrt a))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))

rewrite571.0ms (4.8%)

Memory

24.6MiB live, 571.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 594×	`lower-fma.f32`
5 592×	`lower-fma.f64`
5 376×	`lower-/.f32`
5 370×	`lower-/.f64`
3 592×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	257
0	68	257
1	256	252
2	2220	252
0	8813	242

Stop Event

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

Counts

22 → 589

Calls

Call 1

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

Outputs
(+.f64 (*.f64 a #s(literal 1/3 binary64)) #s(literal -1/9 binary64))
(+.f64 #s(literal -1/9 binary64) (*.f64 a #s(literal 1/3 binary64)))
(fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) a #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (.f64 #s(literal 1/3 binary64) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 #s(literal 1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64))) (.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))) (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 a #s(literal 1/3 binary64)) (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64)) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))
(/.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64)) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))
(/.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) (+.f64 a #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))) (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1/3 binary64))) (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1/3 binary64))) (neg.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64) #s(literal -1/729 binary64)) (fma.f64 (.f64 a #s(literal 1/3 binary64)) (.f64 a #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 a #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 #s(literal -1/729 binary64) (.f64 (.f64 a (.f64 a a)) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 (.f64 a #s(literal 1/3 binary64)) (.f64 a #s(literal 1/3 binary64))) (.f64 #s(literal -1/9 binary64) (.f64 a #s(literal 1/3 binary64))))))
(*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 a (+.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(+.f64 #s(literal -1/3 binary64) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a))
(+.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(+.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a))
(+.f64 (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(+.f64 (.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(+.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal -1/3 binary64)) a)
(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))))
(-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal 1/3 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))) (/.f64 (/.f64 (.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))) (-.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a)) (-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) a) #s(literal -1/3 binary64))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 rand (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.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 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) #s(literal -1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) #s(literal -1/3 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) a))
(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (neg.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (/.f64 (.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) rand (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 rand) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) (+.f64 a #s(literal -1/3 binary64)))
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(fma.f64 (/.f64 (neg.f64 rand) #s(literal 3 binary64)) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (/.f64 rand (neg.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 rand (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)) #s(literal 1/4 binary64))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a #s(literal 1/3 binary64) #s(literal -1/9 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (/.f64 rand #s(literal 1 binary64)) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 (/.f64 (neg.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
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(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 rand (.f64 rand rand)) (.f64 #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) (.f64 #s(approx (sqrt (+ (* 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))))))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (-.f64 (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand rand) (.f64 #s(approx (sqrt (+ (* 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 rand rand) (.f64 #s(approx (sqrt (+ (* 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (.f64 rand rand) (.f64 #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (fma.f64 (/.f64 (/.f64 (.f64 rand rand) (.f64 #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (/.f64 (/.f64 (.f64 rand rand) (.f64 #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (/.f64 (/.f64 (.f64 rand rand) (.f64 #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 rand (.f64 rand rand)) (.f64 #s(approx (sqrt (+ (* 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) (.f64 #s(approx (sqrt (+ (* 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (-.f64 (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 rand rand) (.f64 #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))) #s(approx (sqrt (+ ( 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a))))) (/.f64 rand (neg.f64 #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(neg.f64 (/.f64 rand (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(neg.f64 (/.f64 (neg.f64 rand) #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 rand #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (.f64 #s(literal 1 binary64) (neg.f64 rand))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand)))
(/.f64 (neg.f64 rand) (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 rand)) (neg.f64 #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(/.f64 (neg.f64 (neg.f64 rand)) (neg.f64 (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 rand))) (neg.f64 (neg.f64 (neg.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 rand))) (neg.f64 (neg.f64 #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(pow.f64 (/.f64 #s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))) rand) #s(literal -1 binary64))
(.f64 rand (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(.f64 (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 rand) #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))))
(.f64 (neg.f64 rand) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) rand)
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))) (pow.f64 (/.f64 #s(literal 1 binary64) rand) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))) (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 a a) (*.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (+.f64 a #s(literal 1/3 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (sqrt.f64 (neg.f64 (+.f64 a #s(literal 1/3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a))) (sqrt.f64 (-.f64 #s(literal -1/3 binary64) a)))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (sqrt.f64 (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (.f64 a #s(literal -1/3 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 a a) #s(literal -1/27 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64)))) (neg.f64 (sqrt.f64 (+.f64 a #s(literal 1/3 binary64)))))
(pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
(.f64 (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a a #s(literal 1/9 binary64)) (*.f64 a #s(literal -1/3 binary64))))))
(.f64 (sqrt.f64 (fma.f64 a (.f64 a a) #s(literal -1/27 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 a a #s(literal -1/9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 a #s(literal 1/3 binary64)))))
(*.f64 (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
#s(approx (sqrt (+ (* 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))

eval224.0ms (1.9%)

Memory: 28.2MiB live, 326.2MiB allocated
Compiler: Compiled 30 211 to 2 635 computations (91.3% saved)

prune143.0ms (1.2%)

Memory

3.8MiB live, 333.3MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	1 272	3	1 275
Fresh	0	4	4
Picked	2	3	5
Done	1	4	5
Total	1 275	14	1 289

Accuracy

100.0%

Counts

1 289 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.0%	(fma.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
	86.4%	(-.f64 a (-.f64 #s(literal 1/3 binary64) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
	97.8%	(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 (.f64 rand (sqrt.f64 a)) #s(literal -1/3 binary64))))
✓	98.7%	(.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand #s(approx (sqrt (+ ( 9 a) -3)) (*.f64 #s(literal 3 binary64) (sqrt.f64 a))))))
	97.8%	#s(approx (- a (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3))))) (fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal 1/3 binary64))) a))
✓	98.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
✓	61.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
✓	62.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
	43.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
✓	38.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))
	37.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(literal 1/3 binary64) rand)))
✓	1.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
	37.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand)))
✓	37.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))

Compiler

Compiled 409 to 176 computations (57% saved)

regimes35.0ms (0.3%)

Memory

-1.8MiB live, 77.1MiB allocated

Counts

27 → 1

Calls

Call 1

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

Calls

4 calls:

9.0ms	rand
9.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
8.0ms	a
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	`a`
99.9%	1	`rand`
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	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes27.0ms (0.2%)

Memory

-24.7MiB live, 51.8MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms	a
6.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
6.0ms	rand

Results

Accuracy	Segments	Branch
99.8%	1	`a`
99.8%	1	`rand`
99.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
99.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes19.0ms (0.2%)

Memory

1.2MiB live, 40.4MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

5.0ms	a
4.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms	rand
4.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

Accuracy	Segments	Branch
98.6%	1	`a`
98.6%	1	`rand`
98.6%	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)))`
98.6%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes19.0ms (0.2%)

Memory

-3.4MiB live, 36.8MiB allocated

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`a`
97.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
97.8%	1	`rand`
97.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes16.0ms (0.1%)

Memory

33.4MiB live, 33.4MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`a`
97.8%	1	`rand`
97.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
97.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes16.0ms (0.1%)

Memory

-7.4MiB live, 31.6MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

4.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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)))
3.0ms	rand

Results

Accuracy	Segments	Branch
93.4%	3	`rand`
88.6%	3	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
64.9%	2	`a`
64.9%	2	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes4.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

rand

Results

Accuracy	Segments	Branch
92.3%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

-30.7MiB live, 8.4MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

rand

Results

Accuracy	Segments	Branch
92.3%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

2.0ms

rand

Results

Accuracy	Segments	Branch
92.3%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms

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

2.0ms

rand

Results

Accuracy	Segments	Branch
66.6%	2	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
66.8%	2	`rand`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes7.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.6%	1	`a`
62.6%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
62.6%	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)))`
62.6%	1	`rand`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes26.0ms (0.2%)

Memory

-26.1MiB live, 12.7MiB allocated

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 -1/3) #s(literal -1/3 binary64)))

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

Calls

4 calls:

21.0ms	rand
1.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	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)))

Results

Accuracy	Segments	Branch
1.7%	1	`a`
1.7%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
1.7%	1	`rand`
1.7%	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)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5903893135715792e+105	4.644563882780895e+110
0.0ms	-1.4005875312661528e+70	-1.1685891303288368e+68

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5903893135715792e+105	4.644563882780895e+110
0.0ms	-1.4005875312661528e+70	-1.1685891303288368e+68

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5903893135715792e+105	4.644563882780895e+110
0.0ms	-1.4005875312661528e+70	-1.1685891303288368e+68

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5903893135715792e+105	4.644563882780895e+110
0.0ms	-1.4005875312661528e+70	-1.1685891303288368e+68

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.386762379525794e+153	9.59882278814249e+154

Compiler

Compiled 25 to 18 computations (28% saved)

simplify11.0ms (0.1%)

Memory

16.5MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
12×	`+-commutative_binary64`
8×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	562
1	100	562
2	107	562
3	111	562
4	113	562

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
#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(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 (.f64 rand (sqrt.f64 a)) #s(literal -1/3 binary64))))
(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64)))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 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 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))

Outputs
(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
#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(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
#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 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))
(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 (.f64 rand (sqrt.f64 a)) #s(literal -1/3 binary64))))
(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 a)))))
(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 rand (.f64 (sqrt.f64 a) #s(literal -1/3 binary64)))))
(-.f64 a #s(approx (- 1/3 (/ (* (+ a -1/3) rand) (sqrt (+ (* 9 a) -3)))) (.f64 rand (.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) (.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)) rand))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -10000000000000000725314363815292351261583744096465219555182101554790400 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 1999999999999999876516601650563957080654054728944248956588832425077742983649199427273641055007816510603264 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 (* (sqrt (+ a -1/3)) (* 1/3 rand)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 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 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)))
(if (<=.f64 rand #s(literal 5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 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 #s(approx (* (+ a -1/3) rand) (*.f64 a rand)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))

soundness1.5s (12.6%)

Memory

-145.0MiB live, 1 011.6MiB allocated

Rules

18 084×	`lower-fma.f64`
18 084×	`lower-fma.f32`
13 628×	`lower-fma.f64`
13 628×	`lower-fma.f32`
13 334×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	22	46
1	78	40
2	546	40
3	6493	40
0	8173	36
0	750	7631
1	2440	6615
0	8431	6100
0	333	1781
1	1013	1561
2	3377	1491
3	7929	1491
0	8325	1388
0	35	206
0	54	200
1	240	191
2	2365	191
0	8582	191
0	386	5887
1	1237	5162
2	4490	4886
0	8180	4503
0	49	257
0	68	257
1	256	252
2	2220	252
0	8813	242

Stop Event

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

Compiler

Compiled 462 to 239 computations (48.3% saved)

preprocess119.0ms (1%)

Memory: -10.0MiB live, 105.8MiB allocated
Compiler: Compiled 370 to 114 computations (69.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.1%)

sample1.3s (11.1%)

preprocess279.0ms (2.3%)

explain215.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify141.0ms (1.2%)

localize51.0ms (0.4%)

series16.0ms (0.1%)

simplify447.0ms (3.7%)

rewrite479.0ms (4%)

eval77.0ms (0.6%)

prune130.0ms (1.1%)

simplify268.0ms (2.2%)

localize132.0ms (1.1%)

series79.0ms (0.7%)

simplify522.0ms (4.4%)

rewrite496.0ms (4.1%)

eval438.0ms (3.7%)

prune352.0ms (2.9%)

simplify318.0ms (2.7%)

localize393.0ms (3.3%)

series12.0ms (0.1%)

simplify816.0ms (6.8%)

rewrite786.0ms (6.6%)

eval454.0ms (3.8%)

prune151.0ms (1.3%)

simplify234.0ms (2%)

localize142.0ms (1.2%)

series26.0ms (0.2%)

simplify399.0ms (3.3%)

rewrite571.0ms (4.8%)

eval224.0ms (1.9%)

prune143.0ms (1.2%)

regimes35.0ms (0.3%)

regimes27.0ms (0.2%)

regimes19.0ms (0.2%)

regimes19.0ms (0.2%)

regimes16.0ms (0.1%)

regimes16.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes26.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness1.5s (12.6%)

preprocess119.0ms (1%)

end0.0ms (0%)

Profiling