Metrics for Octave 3.8, oct_fill

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze16.0ms (0.2%)

Memory

-3.9MiB live, 34.1MiB 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 (15.6%)

Memory

0.1MiB live, 1 821.3MiB allocated

Samples

917.0ms	8 256×	0	valid
91.0ms	522×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 702.0ms

ival-div: 306.0ms (43.6% of total)

ival-mult: 208.0ms (29.6% of total)

ival-sqrt: 78.0ms (11.1% of total)

ival-add: 47.0ms (6.7% of total)

ival-sub: 43.0ms (6.1% of total)

exact: 11.0ms (1.6% of total)

ival-true: 6.0ms (0.9% of total)

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

Bogosity

explain202.0ms (2.4%)

Memory

-5.2MiB live, 275.7MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

45.0ms	484×	0	valid
3.0ms	16×	1	valid
2.0ms	10×	2	valid
1.0ms	2×	5	exit

Compiler

Compiled 276 to 56 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 14.0ms (41.8% of total)

ival-div: 8.0ms (23.9% of total)

ival-sqrt: 4.0ms (11.9% of total)

ival-sub: 3.0ms (9% of total)

ival-add: 3.0ms (9% of total)

adjust: 1.0ms (3% of total)

exact: 1.0ms (3% of total)

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

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

preprocess256.0ms (3%)

Memory

21.0MiB live, 109.4MiB allocated

Algorithm

1×	egg-herbie

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 (/.f64 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)))

Compiler

Compiled 20 to 13 computations (35% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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 20 to 13 computations (35% saved)

simplify98.0ms (1.1%)

Memory

9.3MiB live, 47.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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))

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

localize56.0ms (0.7%)

Memory

2.8MiB live, 79.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
accuracy	0.140625	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
accuracy	0.2578125	(.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	0.2890625	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))

Samples

41.0ms	242×	0	valid
1.0ms	8×	1	valid
1.0ms	5×	2	valid
0.0ms	1×	5	exit

Compiler

Compiled 170 to 28 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 8.0ms (38.7% of total)

ival-mult: 8.0ms (38.7% of total)

ival-sqrt: 2.0ms (9.7% of total)

ival-sub: 1.0ms (4.8% of total)

ival-add: 1.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

-9.1MiB live, 28.7MiB allocated

Counts

6 → 84

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)))
(/.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)))))

Outputs
(* 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))))))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 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)))))))))))))
(* 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))))))
(* 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))))))
(* 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)))))
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 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))))))))
(* 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))))))
(* 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)))))))
(* (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)))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* 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)))))
(* (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)))))
(* -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 (* 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)))))
(- 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 (/ 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 (- 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 (/ 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 (- 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))))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))
4.0ms	a	@	-inf	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))
3.0ms	a	@	inf	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))
2.0ms	rand	@	0	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))
1.0ms	rand	@	inf	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* 9 (- a (/ 1 3))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (sqrt (* 9 (- a (/ 1 3)))))

simplify169.0ms (2%)

Memory

14.7MiB live, 199.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	1781
1	1013	1561
2	3375	1491
3	7950	1491
0	8018	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))))))))
-3
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 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)))))))))))))
(* 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))))))
(* 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))))))
(* 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)))))
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 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))))))))
(* 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))))))
(* 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)))))))
(* (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)))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* 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)))))
(* (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)))))
(* -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 (* 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)))))
(- 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 (/ 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 (- 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 (/ 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 (- 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))))))

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

rewrite177.0ms (2.1%)

Memory

-8.2MiB live, 275.1MiB allocated

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)))
(/.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)))))

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

eval65.0ms (0.8%)

Memory: 23.8MiB live, 139.6MiB allocated
Compiler: Compiled 14 852 to 1 979 computations (86.7% saved)

prune24.0ms (0.3%)

Memory

2.7MiB live, 38.7MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	505	8	513
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	506	8	514

Accuracy

100.0%

Counts

514 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.4%	(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.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)))
▶	99.9%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
	99.9%	(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)))
▶	99.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
▶	64.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	98.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
▶	73.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
	36.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))

Compiler

Compiled 396 to 260 computations (34.3% saved)

simplify224.0ms (2.6%)

Memory

-6.5MiB live, 152.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	251
0	59	247
1	111	237
2	230	237
3	630	237
4	1717	237
5	3195	237
6	5548	237
7	7894	237
0	8217	233

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

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

localize225.0ms (2.6%)

Memory

-1.5MiB live, 124.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.140625	(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
accuracy	0.16015625	(*.f64 (-.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
accuracy	8.470717829834522	(/.f64 rand (*.f64 (-.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
accuracy	27.626192190898365	(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.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)))
accuracy	0.0078125	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.0234375	(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
accuracy	0.12109375	(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))
accuracy	17.126152627121915	(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
accuracy	0.00390625	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.0078125	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.05859375	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.30859375	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	0.00390625	(-.f64 a #s(literal 1/3 binary64))
accuracy	22.86408534656385	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.00390625	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.0625	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.140625	(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
accuracy	0.21484375	(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))

Samples

194.0ms	243×	0	valid
4.0ms	8×	1	valid
3.0ms	5×	2	valid

Compiler

Compiled 514 to 78 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

const: 99.0ms (54.4% of total)

ival-div: 42.0ms (23.1% of total)

ival-mult: 17.0ms (9.3% of total)

ival-sqrt: 11.0ms (6% of total)

ival-add: 8.0ms (4.4% of total)

ival-sub: 4.0ms (2.2% of total)

adjust: 1.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.9%)

Memory

-8.0MiB live, 29.7MiB allocated

Counts

18 → 336

Calls

Call 1

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

Outputs
(- (* -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)
(* -1/3 (sqrt -1/3))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
-1/3
(- a 1/3)
(- a 1/3)
(- 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))))))
(* -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)))))))))))))
(- (* 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)
(* -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)))))))))))))
(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))))))
(* 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)))))
(* -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)))))))))))))
(- (* 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)))
(- (* -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)
-1/9
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(* 1/3 (sqrt -3))
(+ (* 1/3 (sqrt -3)) (* a (+ (sqrt -3) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (+ (sqrt -3) (+ (* 3/2 (/ 1 (sqrt -3))) (* a (- (* 9/2 (/ 1 (sqrt -3))) (* 27/8 (/ 1 (pow (sqrt -3) 3)))))))))
(+ (* 1/3 (sqrt -3)) (* a (+ (sqrt -3) (+ (* 3/2 (/ 1 (sqrt -3))) (* a (- (+ (* 9/2 (/ 1 (sqrt -3))) (* a (- (* 243/16 (/ 1 (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3)))))) (* 27/8 (/ 1 (pow (sqrt -3) 3)))))))))
1/3
(+ 1/3 a)
(+ 1/3 a)
(+ 1/3 a)
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(* 3 (* rand (sqrt -1/3)))
(+ (* 3 (* rand (sqrt -1/3))) (* a (+ (* -9 (* rand (sqrt -1/3))) (* -3/2 (/ rand (sqrt -1/3))))))
(+ (* 3 (* rand (sqrt -1/3))) (* a (+ (* -9 (* rand (sqrt -1/3))) (+ (* -3/2 (/ rand (sqrt -1/3))) (* a (+ (* -3/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (+ (* 9/2 (/ rand (sqrt -1/3))) (* 27 (* rand (sqrt -1/3))))))))))
(+ (* 3 (* rand (sqrt -1/3))) (* a (+ (* -9 (* rand (sqrt -1/3))) (+ (* -3/2 (/ rand (sqrt -1/3))) (* a (+ (* -3/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (+ (* 9/2 (/ rand (sqrt -1/3))) (+ (* 27 (* rand (sqrt -1/3))) (* a (+ (* -81 (* rand (sqrt -1/3))) (+ (* -27/2 (/ rand (sqrt -1/3))) (+ (* -3/2 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 9/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -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))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* 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)))))))
(* 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))))
(* 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))))
(* 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))))))))
(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))))))))
(* 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))))
(* 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 (+ (* 1/3 (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))))
(* 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))))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* 3 (sqrt (pow a 3)))
(* (pow a 2) (+ (sqrt (/ 1 (pow a 3))) (* 3 (sqrt (/ 1 a)))))
(* (pow a 2) (+ (sqrt (/ 1 (pow a 3))) (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))))
(* (pow a 2) (+ (sqrt (/ 1 (pow a 3))) (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/6 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(/ 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)))))
(* 1/3 (* (sqrt (/ 1 (pow a 3))) rand))
(/ (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) a)
(/ (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/27 (* (sqrt (/ 1 (pow a 5))) 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)) (+ (* -1/81 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/27 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) 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)))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -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))))))))
(* 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)))))
(* -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 (* (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)))))
(* -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 (* 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))))))
(* 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)))))
(* -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))))
(* -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 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) a)) (* 1/18 (* (sqrt a) rand))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* -3 (* (sqrt (pow a 3)) (pow (sqrt -1) 2)))
(* (pow a 2) (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2)))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) a))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt a) (pow (sqrt -1) 2))) (* -1/6 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) a))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(/ 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))))
(* 1/3 (* (sqrt (/ 1 (pow a 3))) rand))
(* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (+ (* -1/81 (* (sqrt (/ 1 a)) rand)) (* 1/54 (* (sqrt a) rand)))) a)) (+ (* -1/27 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -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)
(- 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)
(- 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)
(- 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)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(- 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)
(- 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)
(/ (- 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)
(- a 1/3)
(- (+ a (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 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))))
(* 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))))
(* 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))))
(* 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)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 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))))
(* 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 (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)))
(* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* 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 (- 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 (- 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 (- 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)
(* 1/3 rand)
(* 1/3 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 (- 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 (- 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)))
(* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	a	@	-inf	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (+ (* a a) -1/9) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3))))) (- a 1/3)) (+ (* a a) -1/9) (* (- a -1/3) (sqrt (+ (* a 9) -3))) (- a -1/3) (/ (- a 1/3) rand) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3)))))
6.0ms	a	@	inf	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (+ (* a a) -1/9) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3))))) (- a 1/3)) (+ (* a a) -1/9) (* (- a -1/3) (sqrt (+ (* a 9) -3))) (- a -1/3) (/ (- a 1/3) rand) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3)))))
6.0ms	a	@	0	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (+ (* a a) -1/9) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3))))) (- a 1/3)) (+ (* a a) -1/9) (* (- a -1/3) (sqrt (+ (* a 9) -3))) (- a -1/3) (/ (- a 1/3) rand) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3)))))
5.0ms	rand	@	0	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (+ (* a a) -1/9) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3))))) (- a 1/3)) (+ (* a a) -1/9) (* (- a -1/3) (sqrt (+ (* a 9) -3))) (- a -1/3) (/ (- a 1/3) rand) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3)))))
4.0ms	rand	@	-inf	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (- a 1/3) (sqrt (+ (* a 9) -3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (+ (* (+ (* a a) -1/9) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3))))) (- a 1/3)) (+ (* a a) -1/9) (* (- a -1/3) (sqrt (+ (* a 9) -3))) (- a -1/3) (/ (- a 1/3) rand) (/ rand (* (- a -1/3) (sqrt (+ (* a 9) -3)))))

simplify413.0ms (4.9%)

Memory

21.3MiB live, 169.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	816	6899
1	2590	5933
0	8439	5497

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 332

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))) (* 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)
(* -1/3 (sqrt -1/3))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
-1/3
(- a 1/3)
(- a 1/3)
(- 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))))))
(* -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)))))))))))))
(- (* 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)
(* -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)))))))))))))
(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))))))
(* 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)))))
(* -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)))))))))))))
(- (* 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)))
(- (* -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)
-1/9
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(* 1/3 (sqrt -3))
(+ (* 1/3 (sqrt -3)) (* a (+ (sqrt -3) (* 3/2 (/ 1 (sqrt -3))))))
(+ (* 1/3 (sqrt -3)) (* a (+ (sqrt -3) (+ (* 3/2 (/ 1 (sqrt -3))) (* a (- (* 9/2 (/ 1 (sqrt -3))) (* 27/8 (/ 1 (pow (sqrt -3) 3)))))))))
(+ (* 1/3 (sqrt -3)) (* a (+ (sqrt -3) (+ (* 3/2 (/ 1 (sqrt -3))) (* a (- (+ (* 9/2 (/ 1 (sqrt -3))) (* a (- (* 243/16 (/ 1 (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3)))))) (* 27/8 (/ 1 (pow (sqrt -3) 3)))))))))
1/3
(+ 1/3 a)
(+ 1/3 a)
(+ 1/3 a)
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(* 3 (* rand (sqrt -1/3)))
(+ (* 3 (* rand (sqrt -1/3))) (* a (+ (* -9 (* rand (sqrt -1/3))) (* -3/2 (/ rand (sqrt -1/3))))))
(+ (* 3 (* rand (sqrt -1/3))) (* a (+ (* -9 (* rand (sqrt -1/3))) (+ (* -3/2 (/ rand (sqrt -1/3))) (* a (+ (* -3/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (+ (* 9/2 (/ rand (sqrt -1/3))) (* 27 (* rand (sqrt -1/3))))))))))
(+ (* 3 (* rand (sqrt -1/3))) (* a (+ (* -9 (* rand (sqrt -1/3))) (+ (* -3/2 (/ rand (sqrt -1/3))) (* a (+ (* -3/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (+ (* 9/2 (/ rand (sqrt -1/3))) (+ (* 27 (* rand (sqrt -1/3))) (* a (+ (* -81 (* rand (sqrt -1/3))) (+ (* -27/2 (/ rand (sqrt -1/3))) (+ (* -3/2 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 9/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -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))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* 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)))))))
(* 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))))
(* 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))))
(* 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))))))))
(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))))))))
(* 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))))
(* 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 (+ (* 1/3 (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))))
(* 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))))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* 3 (sqrt (pow a 3)))
(* (pow a 2) (+ (sqrt (/ 1 (pow a 3))) (* 3 (sqrt (/ 1 a)))))
(* (pow a 2) (+ (sqrt (/ 1 (pow a 3))) (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a))))))
(* (pow a 2) (+ (sqrt (/ 1 (pow a 3))) (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/6 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a)))))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(/ 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)))))
(* 1/3 (* (sqrt (/ 1 (pow a 3))) rand))
(/ (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))) a)
(/ (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/27 (* (sqrt (/ 1 (pow a 5))) 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)) (+ (* -1/81 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/27 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))) 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)))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -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))))))))
(* 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)))))
(* -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 (* (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)))))
(* -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 (* 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))))))
(* 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)))))
(* -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))))
(* -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 (/ (+ (* -1/54 (* (sqrt a) rand)) (* 1/54 (* (sqrt a) rand))) a)) (* 1/18 (* (sqrt a) rand))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* -3 (* (sqrt (pow a 3)) (pow (sqrt -1) 2)))
(* (pow a 2) (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2)))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) a))))
(* (pow a 2) (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt a) (pow (sqrt -1) 2))) (* -1/6 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) a)) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) a))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(/ 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))))
(* 1/3 (* (sqrt (/ 1 (pow a 3))) rand))
(* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/9 (* (sqrt (/ 1 (pow a 3))) rand))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/27 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt a) rand)) (+ (* -1/81 (* (sqrt (/ 1 a)) rand)) (* 1/54 (* (sqrt a) rand)))) a)) (+ (* -1/27 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) a)) (* -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)
(- 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)
(- 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)
(- 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)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(- 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)
(- 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)
(/ (- 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)
(- a 1/3)
(- (+ a (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 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))))
(* 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))))
(* 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))))
(* 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)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 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))))
(* 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 (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)))
(* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (* 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 (- 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 (- 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 (- 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)
(* 1/3 rand)
(* 1/3 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 (- 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 (- 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)))
(* (/ (* rand (- (pow a 2) 1/9)) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (/ (- (pow a 2) 1/9) (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))
(* (/ rand (+ 1/3 a)) (sqrt (/ 1 (- (* 9 a) 3))))

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

rewrite367.0ms (4.3%)

Memory

12.4MiB live, 205.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	202
0	59	197
1	250	186
2	2172	186
0	8208	186

Stop Event

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

Counts

18 → 983

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (-.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(.f64 (-.f64 (/.f64 (pow.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (neg.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -3/2 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (neg.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 (/.f64 (pow.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 (pow.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -3/2 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (fma.f64 a a #s(literal -1/9 binary64)))) (pow.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 rand (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 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 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 (neg.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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.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 binary64) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (/.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 binary64) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))) (*.f64 (/.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 binary64) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))) (*.f64 (/.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 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 (pow.f64 (fma.f64 a a #s(literal 1/9 binary64)) #s(literal -1 binary64)) (-.f64 a #s(literal -1/3 binary64))) (*.f64 (/.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 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (fma.f64 a a #s(literal 1/9 binary64)) #s(literal -1 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (/.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 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (pow.f64 (fma.f64 a a #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))) (*.f64 (/.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 (+.f64 #s(literal -1/729 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (-.f64 a #s(literal -1/3 binary64))) (*.f64 (/.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 (+.f64 #s(literal -1/729 binary64) (pow.f64 a #s(literal 6 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (/.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 (+.f64 #s(literal -1/729 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))) (*.f64 (/.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 (+.f64 #s(literal -1/729 binary64) (pow.f64 a #s(literal 6 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))) (*.f64 (/.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 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (pow.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 (/.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 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (/.f64 (/.f64 rand (-.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 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) 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)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64)) (*.f64 (/.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 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 a #s(literal -1/3 binary64))) (/.f64 (pow.f64 (fma.f64 a a #s(literal 1/9 binary64)) #s(literal -1 binary64)) (/.f64 (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 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (pow.f64 (fma.f64 a a #s(literal 1/9 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 a #s(literal -1/3 binary64)) rand)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (+.f64 #s(literal -1/729 binary64) (pow.f64 a #s(literal 6 binary64))) (-.f64 a #s(literal -1/3 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 (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 #s(literal -1/729 binary64) (pow.f64 a #s(literal 6 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 a #s(literal -1/3 binary64)) rand)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 rand (-.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 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (/.f64 rand (-.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 3 binary64)) (/.f64 (/.f64 rand (-.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 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 3 binary64)) (/.f64 (/.f64 rand (-.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 -1 binary64)) (/.f64 (neg.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 (/.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 (-.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)) #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 3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))) (*.f64 (/.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 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) (*.f64 (/.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 (fma.f64 a a #s(literal -1/9 binary64)) (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)))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))) (*.f64 (/.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 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.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 rand #s(literal 3 binary64)) (/.f64 (neg.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 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 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (pow.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -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)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 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 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (/.f64 rand (-.f64 a #s(literal -1/3 binary64))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 rand (-.f64 a #s(literal -1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 rand (-.f64 a #s(literal -1/3 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (fma.f64 a a #s(literal -1/9 binary64)) rand) (/.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) (-.f64 a #s(literal -1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (*.f64 (/.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 (/.f64 rand (-.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 (fma.f64 a a #s(literal 1/9 binary64)) (/.f64 (pow.f64 (fma.f64 a a #s(literal 1/9 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
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(fma.f64 (/.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
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(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal 1/4 binary64))) (/.f64 (/.f64 rand (-.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)))
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(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 rand (-.f64 a #s(literal -1/3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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)) #s(literal -1 binary64))
(pow.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 (neg.f64 (neg.f64 (/.f64 rand (-.f64 a #s(literal -1/3 binary64))))) (neg.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 rand))) (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (neg.f64 (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (/.f64 rand (-.f64 a #s(literal -1/3 binary64)))) (*.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (neg.f64 rand)) (neg.f64 (*.f64 (neg.f64 (-.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(/.f64 (/.f64 rand (-.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
(/.f64 (neg.f64 rand) (*.f64 (neg.f64 (-.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 rand (-.f64 a #s(literal -1/3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 #s(literal -1 binary64) (neg.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 (/.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) (neg.f64 (neg.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 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (/.f64 rand (-.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 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)))) #s(literal 1 binary64)))
(/.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 rand (*.f64 (-.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))
(neg.f64 (/.f64 (neg.f64 rand) (*.f64 (-.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 (-.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (/.f64 (neg.f64 rand) (.f64 (-.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
(exp.f64 (.f64 (log.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)))

eval474.0ms (5.6%)

Memory: 0.9MiB live, 513.3MiB allocated
Compiler: Compiled 69 905 to 4 953 computations (92.9% saved)

prune75.0ms (0.9%)

Memory

8.3MiB live, 168.5MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	1 919	8	1 927
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	1 924	11	1 935

Accuracy

100.0%

Counts

1 935 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶	99.9%	(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)))
	99.3%	(fma.f64 #s(approx (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
▶	99.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
▶	33.6%	#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))))
✓	64.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	72.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
▶	36.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	37.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
	36.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
▶	1.6%	#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 598 to 396 computations (33.8% saved)

simplify213.0ms (2.5%)

Memory

-14.7MiB live, 105.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	210
0	54	209
1	93	197
2	188	197
3	386	197
4	727	197
5	1119	197
6	1808	197
7	2861	197
8	3203	197
9	3352	197
10	3604	197
11	3755	197
12	4034	197
13	4219	197
14	4307	197
15	4523	197
16	4543	197
17	4555	197
18	4555	197
19	4555	197
0	4555	195

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize144.0ms (1.7%)

Memory

-24.5MiB live, 158.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.0078125	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.09375	(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	0.25390625	(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
accuracy	0.0078125	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.29134750976844204	(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy	0.30859375	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	40.32325834429218	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
accuracy	0	(fma.f64 a a #s(literal -1/9 binary64))
accuracy	0	(-.f64 a #s(literal -1/3 binary64))
accuracy	22.86408534656385	#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))))
accuracy	34.05987092772873	(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))
accuracy	22.86408534656385	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
accuracy	63.324113449215	#s(approx (- a 1/3) #s(literal -1/3 binary64))
accuracy	0.00390625	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.046875	(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)))
accuracy	0.140625	(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))
accuracy	0.23046875	(/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))

Samples

84.0ms	243×	0	valid
12.0ms	8×	1	valid
3.0ms	5×	2	valid

Compiler

Compiled 424 to 74 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

const: 35.0ms (42.9% of total)

ival-mult: 15.0ms (18.4% of total)

ival-div: 14.0ms (17.2% of total)

ival-add: 7.0ms (8.6% of total)

ival-sqrt: 5.0ms (6.1% of total)

ival-sub: 4.0ms (4.9% of total)

adjust: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.4%)

Memory

-18.3MiB live, 60.0MiB allocated

Counts

18 → 324

Calls

Call 1

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

Outputs
(- (* -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)
(* 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)))
(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
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 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)))))))))))))
-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)))))))))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
-1/9
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
1/3
(+ 1/3 a)
(+ 1/3 a)
(+ 1/3 a)
(* -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)))))))))))))
(* 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))))))))
(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))))))
(- (* 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)
(* -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)))))))))))))
(* 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)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 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))))
(* 1/3 (* (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))))))))
(* 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)))))))
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 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
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* 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
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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))))))))
(* 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))))))
(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))))))))
(* 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))))
(* 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))))))))
(* (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)))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 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)))
(* 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))))
(* -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))))))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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)))))
(* -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 (* (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 (* 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 (* (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)))))
(* -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))))))))
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 (* (* 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 (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(- 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)
(- 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)
(- 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(- 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)
(- 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)
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 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 (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 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))))
(* 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))))
(* 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 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))))
(* 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))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* (* 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)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* 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 (- 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 (- 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 (- 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)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 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 (- 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 (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	((+ (* (/ rand (sqrt (+ (* a 9) -3))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (+ (* a 9) -3))) (sqrt (+ (* a 9) -3)) (+ (* a 9) -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (- a 1/3))
3.0ms	a	@	-inf	((+ (* (/ rand (sqrt (+ (* a 9) -3))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (+ (* a 9) -3))) (sqrt (+ (* a 9) -3)) (+ (* a 9) -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (- a 1/3))
3.0ms	rand	@	inf	((+ (* (/ rand (sqrt (+ (* a 9) -3))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (+ (* a 9) -3))) (sqrt (+ (* a 9) -3)) (+ (* a 9) -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (- a 1/3))
3.0ms	rand	@	-inf	((+ (* (/ rand (sqrt (+ (* a 9) -3))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (+ (* a 9) -3))) (sqrt (+ (* a 9) -3)) (+ (* a 9) -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (- a 1/3))
2.0ms	rand	@	0	((+ (* (/ rand (sqrt (+ (* a 9) -3))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (+ (* a 9) -3))) (sqrt (+ (* a 9) -3)) (+ (* a 9) -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (sqrt (- a 1/3)) rand) (- a 1/3))

simplify211.0ms (2.5%)

Memory

39.2MiB live, 301.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	596	5835
1	1912	5081
2	6919	4901
0	8194	4517

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 316

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))) (* 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)
(* 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)))
(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
(- (* 9 a) 3)
(- (* 9 a) 3)
(- (* 9 a) 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)))))))))))))
-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)))))))))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
-1/9
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
1/3
(+ 1/3 a)
(+ 1/3 a)
(+ 1/3 a)
(* -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)))))))))))))
(* 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))))))))
(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))))))
(- (* 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)
(* -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)))))))))))))
(* 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)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 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))))
(* 1/3 (* (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))))))))
(* 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)))))))
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* a (- 9 (* 3 (/ 1 a))))
(* 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
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* 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
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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))))))))
(* 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))))))
(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))))))))
(* 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))))
(* 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))))))))
(* (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)))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 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)))
(* 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))))
(* -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))))))))
(* 9 a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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)))))
(* -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 (* (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 (* 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 (* (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)))))
(* -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))))))))
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 (* (* 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 (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(- 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)
(- 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)
(- 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(- 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)
(- 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)
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 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 (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 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))))
(* 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))))
(* 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 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))))
(* 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))))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* (* 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)))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(* 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 (- 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 (- 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 (- 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)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 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 (- 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 (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))

Outputs
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64) #s(literal -1/3 binary64))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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)
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(* rand (sqrt -1/3))
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(- (* 9 a) 3)
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(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
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(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))
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(- a 1/3)
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#s(literal -1/9 binary64)
(- (pow a 2) 1/9)
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(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
1/3
#s(literal 1/3 binary64)
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(+ 1/3 a)
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(+ 1/3 a)
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(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))
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(* 1/3 (* rand (sqrt -1/3)))
(.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
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(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) a (sqrt.f64 #s(literal -1/3 binary64)))
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(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64) #s(literal -1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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)
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(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))
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(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
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(fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 (+.f64 (/.f64 (.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(* rand (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* 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 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (.f64 (.f64 #s(literal 1/16 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) a (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) 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 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 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))))
(fma.f64 (+.f64 (+.f64 #s(literal 0 binary64) (.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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))))
(fma.f64 (.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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 (.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 3/2 binary64)) (.f64 (fma.f64 #s(literal -1/324 binary64) a #s(literal 1/243 binary64)) rand) (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) a)
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(.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 3 binary64)))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/144 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)))) #s(literal -1/24 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))) a)
(* 9 a)
(*.f64 #s(literal 9 binary64) a)
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) 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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 0 binary64))) a a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) 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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 0 binary64))) a a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal 1/3 binary64) a)
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal 1/3 binary64) a)
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal 1/3 binary64) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) 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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 0 binary64))) a a)
(* 1/3 (* (sqrt a) rand))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) 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 (fma.f64 (.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))))) rand (.f64 rand (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) a)) #s(literal 1/3 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 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (.f64 rand (fma.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a)
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(*.f64 (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) 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 (+.f64 (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 #s(literal -1/72 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 3 binary64)))) #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)) a #s(literal -1/3 binary64))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 (fma.f64 rand (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) a)) #s(literal 1/3 binary64))) (fma.f64 (.f64 #s(literal -1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64))) a #s(literal -1/3 binary64))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) 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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal -1/3 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 0 binary64))) a a)
(* (sqrt a) rand)
(*.f64 (sqrt.f64 a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(.f64 (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (*.f64 #s(literal -1/72 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 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 (fma.f64 rand (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* a (- 1 (* 1/3 (/ 1 a))))
(-.f64 a #s(literal 1/3 binary64))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (neg.f64 a) (-.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) 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 (neg.f64 a) (-.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #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 (/ (+ (* -1/54 (* (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 (neg.f64 a) (-.f64 (fma.f64 (.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -1/9 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/18 binary64) #s(literal 0 binary64)) a)) a)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/54 binary64)) rand (.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 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))))
(fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 3/2 binary64) (.f64 (fma.f64 #s(literal -1/324 binary64) a #s(literal 1/243 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/54 binary64))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))))
(* -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 (neg.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64)))))
(* -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 (neg.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 -1/144 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 3 binary64)))) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -3 binary64))))))
(* 9 a)
(*.f64 #s(literal 9 binary64) a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (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 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (fma.f64 (*.f64 (neg.f64 rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #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 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) a) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 a) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 0 binary64)) (neg.f64 a))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (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 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (fma.f64 (*.f64 (neg.f64 rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #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 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) a) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 a) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 0 binary64)) (neg.f64 a))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(neg.f64 (-.f64 #s(literal 1/3 binary64) a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 a a))) a) a)
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal 1/3 binary64) a)
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal 1/3 binary64) a)
(* a (+ 1 (* 1/3 (/ 1 a))))
(+.f64 #s(literal 1/3 binary64) a)
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) a) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (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 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a) #s(literal 1/3 binary64) (fma.f64 (*.f64 (neg.f64 rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) #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 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64))) a) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 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 (+.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 a) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 0 binary64)) (neg.f64 a))) a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) a)
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
(* -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 (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 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 (neg.f64 a) (fma.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 1/216 binary64))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
(.f64 (neg.f64 a) (fma.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)))) (.f64 #s(literal 1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
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a
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(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand)
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand)
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand)
(* rand (sqrt (/ 1 (- (* 9 a) 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 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 (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)

rewrite264.0ms (3.1%)

Memory

0.7MiB live, 332.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	185
0	54	179
1	205	162
2	1565	162
0	8366	162

Stop Event

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

Counts

18 → 852

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (-.f64 a #s(literal -1/3 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal 1/3 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 rand rand) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (-.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 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -3/2 binary64)) (pow.f64 rand #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64))) (pow.f64 (fma.f64 (/.f64 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 -1/2 binary64)) rand #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 a a #s(literal -1/9 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64))) (pow.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64))) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (fma.f64 a a #s(literal -1/9 binary64))) (pow.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(.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))))) (pow.f64 (-.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 (.f64 (-.f64 a #s(literal 1/3 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -3/2 binary64)) (pow.f64 rand #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 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 -1/2 binary64)) rand #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (fma.f64 (/.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 2 binary64)) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.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 (-.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))))
(.f64 (-.f64 (pow.f64 (fma.f64 (/.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 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (/.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 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (/.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 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.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))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -3/2 binary64)) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 a #s(literal 1/3 binary64)) (-.f64 (-.f64 a #s(literal 1/3 binary64)) (.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))) (/.f64 (pow.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) rand) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))))))
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(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)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
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(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 a #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
(fma.f64 a (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64))))
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(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)))
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(-.f64 (/.f64 (pow.f64 (fma.f64 (/.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 2 binary64)) (+.f64 (fma.f64 (/.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 1/9 binary64) (+.f64 (fma.f64 (/.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))))
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(-.f64 (/.f64 (pow.f64 (fma.f64 (/.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 3 binary64)) (+.f64 (pow.f64 (fma.f64 (/.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 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (/.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 1/27 binary64) (+.f64 (pow.f64 (fma.f64 (/.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 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (fma.f64 (/.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))))))
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(-.f64 (fma.f64 (/.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 (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (-.f64 a #s(literal 1/3 binary64))))
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(+.f64 (.f64 a (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64))) (.f64 #s(literal -1/3 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)) #s(literal -1/2 binary64)) rand #s(literal 1 binary64))))
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(*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64))
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(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) rand)) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (*.f64 rand #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
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(/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
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(.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a #s(literal -1/3 binary64)) (fma.f64 a a #s(literal 1/9 binary64)))))
(*.f64 (pow.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (fma.f64 a a #s(literal -1/9 binary64)))
(.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/3 binary64) a)))))
(.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (*.f64 a a) #s(literal -1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))) (-.f64 a #s(literal -1/3 binary64)))))
(.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 a a)) (/.f64 #s(literal -1 binary64) (-.f64 a #s(literal -1/3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 a #s(literal 1/3 binary64))))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 a a) (-.f64 a #s(literal -1/3 binary64))) (/.f64 (.f64 a a) (-.f64 a #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64))) (.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))))))
(/.f64 (+.f64 #s(literal -1/27 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 a a) (.f64 #s(literal -1/3 binary64) a))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (neg.f64 (fma.f64 a a #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 a #s(literal -1/3 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 a #s(literal -1/3 binary64))) (fma.f64 a a #s(literal 1/9 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 a #s(literal -1/3 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (*.f64 (fma.f64 a a #s(literal 1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (*.f64 (-.f64 a #s(literal -1/3 binary64)) (fma.f64 a a #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (*.f64 a a) #s(literal -1/9 binary64))) (-.f64 a #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (.f64 (-.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (*.f64 a a) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 a #s(literal -1/3 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (-.f64 a #s(literal -1/3 binary64)) (fma.f64 a a #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 a a #s(literal 1/9 binary64)) (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (pow.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (-.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (*.f64 a a) #s(literal -1/9 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (*.f64 a a) #s(literal -1/9 binary64))) (-.f64 a #s(literal -1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (fma.f64 #s(literal -1 binary64) a #s(literal -1/3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a #s(literal 1/9 binary64)) (/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 a #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (.f64 a a) #s(literal -1/9 binary64))) (/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64)) (-.f64 a #s(literal -1/3 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 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (*.f64 a a) #s(literal -1/9 binary64))) (-.f64 a #s(literal -1/3 binary64))) (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 a #s(literal -1/3 binary64)) (fma.f64 a a #s(literal 1/9 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) a))) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 a #s(literal -1/3 binary64)) (-.f64 (+.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 (*.f64 a a) #s(literal -1/9 binary64)))) (-.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/729 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (-.f64 a #s(literal 1/3 binary64))))
(fma.f64 (/.f64 a (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (/.f64 a (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 a (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/27 binary64))) (/.f64 a (pow.f64 (fma.f64 a a (fma.f64 #s(literal -1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 a (-.f64 a #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (/.f64 a (fma.f64 a a #s(literal -1/9 binary64))) (*.f64 a (-.f64 a #s(literal 1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64)))))
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))))
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 a #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1 binary64) a #s(literal -1/3 binary64))
(fma.f64 a #s(literal 1 binary64) #s(literal -1/3 binary64))
(sqrt.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 a a #s(literal 1/9 binary64))) (-.f64 a #s(literal -1/3 binary64))) (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 a a #s(literal 1/9 binary64))) (-.f64 a #s(literal -1/3 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (-.f64 a #s(literal -1/3 binary64)) (fma.f64 a a #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/81 binary64) (.f64 (-.f64 a #s(literal -1/3 binary64)) (fma.f64 a a #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/3 binary64) a)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal -1/3 binary64) a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) a #s(literal -1/3 binary64))) (neg.f64 (-.f64 a #s(literal 1/3 binary64))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64))))
(-.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (-.f64 a #s(literal 1/3 binary64))))
(-.f64 a #s(literal 1/3 binary64))
(exp.f64 (fma.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64) (*.f64 (log.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 a a) (-.f64 a #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal -1/3 binary64)))))
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64)))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 a a (fma.f64 #s(literal 1/3 binary64) a #s(literal 1/9 binary64))))))
(+.f64 #s(literal -1/3 binary64) a)
(+.f64 a #s(literal -1/3 binary64))

eval322.0ms (3.8%)

Memory: 7.2MiB live, 517.6MiB allocated
Compiler: Compiled 60 315 to 4 234 computations (93% saved)

prune51.0ms (0.6%)

Memory

-20.4MiB live, 176.8MiB allocated

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1 642	6	1 648
Fresh	2	3	5
Picked	3	2	5
Done	0	1	1
Total	1 647	12	1 659

Accuracy

100.0%

Counts

1 659 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶	99.3%	(fma.f64 #s(approx (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
▶	10.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
	33.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (+ (* a a) -1/9) (*.f64 a a)) (-.f64 a #s(literal -1/3 binary64))))
✓	64.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
▶	72.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
	36.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	36.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
✓	36.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	36.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))
✓	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶	36.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))

Compiler

Compiled 609 to 417 computations (31.5% saved)

simplify296.0ms (3.5%)

Memory

30.7MiB live, 105.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	295
0	64	295
1	107	287
2	181	287
3	371	287
4	660	287
5	1023	287
6	1611	287
7	2647	287
8	3420	287
9	3894	287
10	4076	287
11	4168	287
12	4232	287
13	4423	287
14	4745	287
15	5168	287
16	5256	287
17	5503	287
18	5714	287
19	5773	287
20	5773	287
21	5773	287
22	5779	287
0	5779	281

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize140.0ms (1.6%)

Memory

-6.5MiB live, 290.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.12109375	(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) #s(approx (/ (- a 1/3) rand) (/.f64 a rand)))
accuracy	0.7959729166727378	#s(approx (/ (- a 1/3) rand) (/.f64 a rand))
accuracy	17.126152627121915	(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)
accuracy	0.0078125	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.25390625	(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
accuracy	0.34375	(.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))
accuracy	40.32325834429218	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
accuracy	0.171875	(.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)
accuracy	0.3515625	(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
accuracy	0.7680377402848824	#s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))
accuracy	40.32325834429218	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
accuracy	0	(fma.f64 a a #s(literal -1/9 binary64))
accuracy	22.86408534656385	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
accuracy	34.05987092772873	(/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64)))
accuracy	60.670356760204356	#s(approx (- a -1/3) #s(literal 1/3 binary64))
accuracy	0.00390625	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.0625	(fma.f64 #s(approx (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.3515625	(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
accuracy	0.7572130127836199	#s(approx (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))

Samples

112.0ms

256×

valid

Compiler

Compiled 542 to 92 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-sqrt: 27.0ms (32.6% of total)

ival-mult: 19.0ms (22.9% of total)

const: 15.0ms (18.1% of total)

ival-div: 12.0ms (14.5% of total)

ival-add: 5.0ms (6% of total)

ival-sub: 4.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.5%)

Memory

-33.9MiB live, 42.7MiB allocated

Counts

20 → 384

Calls

Call 1

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

Outputs
(- (* -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)
(* -1/3 (sqrt -1/3))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -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)))))))))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
-1/9
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
1/3
(+ 1/3 a)
(+ 1/3 a)
(+ 1/3 a)
(* -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)))))))))))))
(* 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))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt 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)))))))))))))
(* 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))))))))
(* 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 -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))))))
(* -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)))))))))))))
(* 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)))))
(- (* 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)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(* 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))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* 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
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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))))))))
(* 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))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 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))))))))
(* 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))))))
(* (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)))))
(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))))))))
(* 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 (* 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))))
(* 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))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(/ 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)))))
(* -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)))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 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 (* (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)))
(* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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)))))
(* -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 (* (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))))
(* 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)))))
(* -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 (* (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))))))))
(* -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 (* (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)))))
(* -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 (* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(/ 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)
(- (+ 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)
(- 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)
(- 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))))
(* 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))
(- 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 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)))
(- 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)
(- 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)
(/ (- 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)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* (* 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))))
(* 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))))
(* 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))))
(* 1/3 (* 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 (* 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 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)))
(* 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))))
(* 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 (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)))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) 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 (- 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 (- 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 (- 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 (* 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 (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 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)))
(* 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 (- 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 (- 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)))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	rand	@	inf	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (* (sqrt a) 1/3) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- a 1/3) (/ (- a 1/3) rand))
3.0ms	a	@	-inf	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (* (sqrt a) 1/3) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- a 1/3) (/ (- a 1/3) rand))
3.0ms	rand	@	-inf	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (* (sqrt a) 1/3) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- a 1/3) (/ (- a 1/3) rand))
2.0ms	rand	@	0	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (* (sqrt a) 1/3) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- a 1/3) (/ (- a 1/3) rand))
2.0ms	a	@	0	((+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (* (sqrt a) 1/3) (sqrt a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (+ (* a a) -1/9) (- a -1/3)) (+ (* a a) -1/9) (- a -1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* (* (sqrt a) 1/3) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (- a 1/3) (/ (- a 1/3) rand))

simplify212.0ms (2.5%)

Memory

8.8MiB live, 238.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	631	6645
1	2036	5769
2	7246	5748
0	8048	5364

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 378

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))) (* 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)
(* -1/3 (sqrt -1/3))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* -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)))))))))))))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
-1/9
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
(- (pow a 2) 1/9)
1/3
(+ 1/3 a)
(+ 1/3 a)
(+ 1/3 a)
(* -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)))))))))))))
(* 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))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt 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)))))))))))))
(* 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))))))))
(* 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 -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))))))
(* -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)))))))))))))
(* 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)))))
(- (* 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)))
-1/3
(- a 1/3)
(- a 1/3)
(- a 1/3)
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(* 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))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(* 1/3 (sqrt a))
(sqrt a)
(sqrt a)
(sqrt a)
(sqrt a)
(* 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
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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))))))))
(* 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))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 1/3 (* (sqrt a) rand))
(* 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))))))))
(* 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))))))
(* (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)))))
(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))))))))
(* 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 (* 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))))
(* 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))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(/ 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)))))
(* -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)))
(* 1/3 (sqrt a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/9 (sqrt (/ 1 a))) (* -1/18 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 a))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (sqrt (/ 1 a))) (+ (* 1/54 (sqrt (/ 1 a))) (* 1/18 (sqrt a)))) a)) (* -1/9 (sqrt (/ 1 a)))) a)) (* -1/3 (sqrt (/ 1 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 (* (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)))
(* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(pow a 2)
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
(* (pow a 2) (- 1 (* 1/9 (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (* 1/3 (/ 1 a))))
(* 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)))))
(* -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 (* (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))))
(* 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)))))
(* -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 (* (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))))))))
(* -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 (* (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)))))
(* -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 (* 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 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(/ 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)
(- (+ 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)
(- 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)
(- 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))))
(* 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))
(- 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 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)))
(- 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)
(- 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)
(/ (- 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)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(* (* 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))))
(* 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))))
(* 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))))
(* 1/3 (* 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 (* 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))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 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)))
(* 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))))
(* 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 (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)))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) 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 (- 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 (- 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 (- 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 (* 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 (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* 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)))
(* 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 (- 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 (- 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)))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)

Outputs
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64) #s(literal -1/3 binary64))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand #s(literal 1 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #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))) (* 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 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) rand #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 rand (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 rand (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 #s(literal -1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))) a (fma.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal -1/3 binary64) #s(literal -1/3 binary64)))
(* -1/3 (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(fma.f64 (fma.f64 (-.f64 (/.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)))) a (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (+ (* 1/6 (/ 1 (sqrt -1/3))) (* a (- (+ (* 1/6 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (sqrt -1/3))) (* 1/6 (/ (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2)))) (sqrt -1/3)))))) (* 1/2 (/ 1 (sqrt -1/3)))))))))
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (-.f64 (/.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))))) a (+.f64 (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(sqrt a)
(sqrt.f64 a)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 (+.f64 (/.f64 (.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
-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))
-1/9
#s(literal -1/9 binary64)
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
(- (pow a 2) 1/9)
(fma.f64 a a #s(literal -1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 a)
(+.f64 #s(literal 1/3 binary64) a)
(+ 1/3 a)
(+.f64 #s(literal 1/3 binary64) a)
(+ 1/3 a)
(+.f64 #s(literal 1/3 binary64) a)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 (+.f64 (/.f64 (.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(* 1/3 (* rand (sqrt -1/3)))
(.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) rand (.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) #s(literal 1/6 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 (fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 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 (fma.f64 (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))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #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 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 (+.f64 (/.f64 (.f64 #s(literal 45/16 binary64) rand) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal -27/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 9/8 binary64) rand) (sqrt.f64 #s(literal -3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(* 1/3 (* rand (sqrt -1/3)))
(.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 1/3 binary64)) rand (.f64 (*.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) #s(literal 1/6 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 (fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 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 (fma.f64 (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))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(* rand (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* 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 (fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (.f64 (.f64 #s(literal 1/16 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))))) a (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (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)))) a (sqrt.f64 #s(literal -1/3 binary64)))
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-1/3
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(pow a 2)
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a
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(* 1/3 (* (sqrt a) rand))
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(* 1/3 (* (sqrt a) rand))
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(* 1/3 (* (sqrt a) rand))
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(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
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a
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(/ a rand)
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(* 1/3 (sqrt a))
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a
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(pow a 2)
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a
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(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) 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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)) (neg.f64 rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) 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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) 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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)) (neg.f64 rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) 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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) 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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal -1/3 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) a #s(literal 1/3 binary64)) rand)) (neg.f64 rand))
(* 1/3 (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 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))
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
(/ (- a 1/3) rand)
(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)

rewrite168.0ms (2%)

Memory

16.0MiB live, 210.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	261
0	64	261
1	233	253
2	1573	253
0	8491	247

Stop Event

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

Counts

20 → 332

Calls

Call 1

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

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

eval185.0ms (2.2%)

Memory: 3.3MiB live, 218.4MiB allocated
Compiler: Compiled 41 053 to 2 570 computations (93.7% saved)

prune43.0ms (0.5%)

Memory

-17.7MiB live, 92.4MiB allocated

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	945	3	948
Fresh	0	4	4
Picked	3	2	5
Done	0	3	3
Total	948	12	960

Accuracy

100.0%

Counts

960 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
✓	99.3%	(fma.f64 #s(approx (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
	33.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (+ (* a a) -1/9) (*.f64 a a)) (-.f64 a #s(literal -1/3 binary64))))
	10.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (+ (* a a) -1/9) (*.f64 a a)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
✓	64.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	72.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
	36.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	36.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
✓	36.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	36.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))
✓	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
✓	36.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))

Compiler

Compiled 1 117 to 366 computations (67.2% saved)

regimes37.0ms (0.4%)

Memory

20.5MiB live, 66.7MiB allocated

Counts

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

Calls

4 calls:

11.0ms	rand
8.0ms	(-.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 27 to 23 computations (14.8% saved)

regimes87.0ms (1%)

Memory

-22.6MiB live, 54.4MiB allocated

Counts

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

Outputs
(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)))

Calls

4 calls:

39.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
33.0ms	a
7.0ms	rand
7.0ms	(.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 27 to 23 computations (14.8% saved)

regimes31.0ms (0.4%)

Memory

19.8MiB live, 56.8MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

9.0ms	rand
7.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms	a
7.0ms	(.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
99.8%	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 27 to 23 computations (14.8% saved)

regimes26.0ms (0.3%)

Memory

0.4MiB live, 42.3MiB allocated

Counts

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

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

Calls

4 calls:

10.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
5.0ms	a
5.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms	rand

Results

Accuracy	Segments	Branch
99.3%	1	`a`
99.3%	1	`rand`
99.3%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
99.3%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes22.0ms (0.3%)

Memory

8.6MiB live, 44.7MiB allocated

Counts

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.3%	1	`a`
94.8%	3	`rand`
90.8%	3	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
64.3%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes39.0ms (0.5%)

Memory

-27.6MiB live, 10.9MiB allocated

Counts

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

rand

Results

Accuracy	Segments	Branch
94.8%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB 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 a) -1/9) (*.f64 a a)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) #s(approx (- a -1/3) #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (+ (* a a) -1/9) (*.f64 a a)) (-.f64 a #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
#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))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (*.f64 (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))

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

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

Calls

1 calls:

4.0ms

rand

Results

Accuracy	Segments	Branch
94.2%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Counts

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

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

Calls

2 calls:

3.0ms

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

3.0ms

rand

Results

Accuracy	Segments	Branch
69.0%	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)))`
69.2%	2	`rand`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Memory

7.5MiB live, 7.5MiB 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

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
64.3%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
64.3%	1	`rand`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes28.0ms (0.3%)

Memory

-27.5MiB live, 11.5MiB 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:

23.0ms	(-.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)))
1.0ms	rand

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch115.0ms (1.4%)

Memory

11.6MiB live, 54.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
92.0ms	6.166963615930545e+65	3.1164132411592124e+89
18.0ms	-1.931926526518865e+82	-1.8807820088478435e+70

Samples

96.0ms

336×

valid

Compiler

Compiled 1 213 to 850 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-sqrt: 75.0ms (84.6% of total)

ival-div: 5.0ms (5.6% of total)

ival-mult: 5.0ms (5.6% of total)

ival-sub: 2.0ms (2.3% of total)

ival-add: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch4.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.166963615930545e+65	3.1164132411592124e+89
2.0ms	-1.931926526518865e+82	-1.8807820088478435e+70

Compiler

Compiled 1 343 to 920 computations (31.5% saved)

bsearch3.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	6.166963615930545e+65	3.1164132411592124e+89
1.0ms	-1.931926526518865e+82	-1.8807820088478435e+70

Compiler

Compiled 1 283 to 900 computations (29.9% saved)

bsearch96.0ms (1.1%)

Memory

-9.1MiB live, 28.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
94.0ms	1.3840760376752613e+151	1.434412778472426e+155

Samples

89.0ms

128×

valid

Compiler

Compiled 503 to 354 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-sub: 80.0ms (93.2% of total)

ival-div: 2.0ms (2.3% of total)

ival-mult: 2.0ms (2.3% of total)

ival-add: 1.0ms (1.2% of total)

ival-sqrt: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify105.0ms (1.2%)

Memory

-10.3MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	449
1	84	449
2	88	449
3	90	449
4	91	449

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(fma.f64 #s(approx (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
(if (<=.f64 rand #s(literal -880000000000000010765395976289350703320943898761610351953070941645621003894652928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (if (<=.f64 rand #s(literal 1100000000000000059800838166790967925781366616571142396681673017752771624960 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 (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))))
(if (<=.f64 rand #s(literal -880000000000000010765395976289350703320943898761610351953070941645621003894652928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) (if (<=.f64 rand #s(literal 1100000000000000059800838166790967925781366616571142396681673017752771624960 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 (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))))
(if (<=.f64 rand #s(literal -880000000000000010765395976289350703320943898761610351953070941645621003894652928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 1100000000000000059800838166790967925781366616571142396681673017752771624960 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 (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))))
(if (<=.f64 rand #s(literal 44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 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 a) -1/9) (*.f64 a a)) #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))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))

Outputs
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(fma.f64 #s(approx (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
(if (<=.f64 rand #s(literal -880000000000000010765395976289350703320943898761610351953070941645621003894652928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) (if (<=.f64 rand #s(literal 1100000000000000059800838166790967925781366616571142396681673017752771624960 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 (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))))
(if (<=.f64 rand #s(literal -880000000000000010765395976289350703320943898761610351953070941645621003894652928 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 1100000000000000059800838166790967925781366616571142396681673017752771624960 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 (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))))
(if (<=.f64 rand #s(literal -880000000000000010765395976289350703320943898761610351953070941645621003894652928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) (if (<=.f64 rand #s(literal 1100000000000000059800838166790967925781366616571142396681673017752771624960 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 (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))))
(if (<=.f64 rand #s(literal -880000000000000010765395976289350703320943898761610351953070941645621003894652928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand))) (if (<=.f64 rand #s(literal 1100000000000000059800838166790967925781366616571142396681673017752771624960 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 (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/3 binary64)) rand)))))
(if (<=.f64 rand #s(literal 44999999999999998592472784537976688663797544715360944923871395941445959838047886848453956002681509343678304676655246074253625250204744727519550586748928 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 a) -1/9) (*.f64 a a)) #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))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))

soundness1.2s (14%)

Memory

35.4MiB live, 946.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	202
0	59	197
1	250	186
2	2172	186
0	8208	186
0	816	6899
1	2590	5933
0	8439	5497
0	596	5835
1	1912	5081
2	6919	4901
0	8194	4517
0	13	46
0	22	46
1	78	40
2	546	40
3	6493	40
0	8173	36
0	333	1781
1	1013	1561
2	3375	1491
3	7950	1491
0	8018	1388
0	631	6645
1	2036	5769
2	7246	5748
0	8048	5364

Stop Event

1×	fuel
1×	iter limit
1×	node 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 747 to 255 computations (65.9% saved)

preprocess125.0ms (1.5%)

Memory: -10.8MiB live, 143.0MiB allocated
Compiler: Compiled 1 050 to 182 computations (82.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze16.0ms (0.2%)

sample1.3s (15.6%)

explain202.0ms (2.4%)

preprocess256.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify98.0ms (1.1%)

localize56.0ms (0.7%)

series16.0ms (0.2%)

simplify169.0ms (2%)

rewrite177.0ms (2.1%)

eval65.0ms (0.8%)

prune24.0ms (0.3%)

simplify224.0ms (2.6%)

localize225.0ms (2.6%)

series79.0ms (0.9%)

simplify413.0ms (4.9%)

rewrite367.0ms (4.3%)

eval474.0ms (5.6%)

prune75.0ms (0.9%)

simplify213.0ms (2.5%)

localize144.0ms (1.7%)

series32.0ms (0.4%)

simplify211.0ms (2.5%)

rewrite264.0ms (3.1%)

eval322.0ms (3.8%)

prune51.0ms (0.6%)

simplify296.0ms (3.5%)

localize140.0ms (1.6%)

series40.0ms (0.5%)

simplify212.0ms (2.5%)

rewrite168.0ms (2%)

eval185.0ms (2.2%)

prune43.0ms (0.5%)

regimes37.0ms (0.4%)

regimes87.0ms (1%)

regimes31.0ms (0.4%)

regimes26.0ms (0.3%)

regimes22.0ms (0.3%)

regimes39.0ms (0.5%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes28.0ms (0.3%)

bsearch115.0ms (1.4%)

bsearch4.0ms (0%)

bsearch3.0ms (0%)

bsearch96.0ms (1.1%)

simplify105.0ms (1.2%)

soundness1.2s (14%)

preprocess125.0ms (1.5%)

end0.0ms (0%)

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