Metrics for Octave 3.8, oct_fill

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze16.0ms (0.1%)

Memory

-9.9MiB live, 28.4MiB 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)

sample2.1s (16.8%)

Memory

10.7MiB live, 1 671.3MiB allocated

Samples

1.6s	8 256×	0	valid
78.0ms	492×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 615.0ms

ival-div: 210.0ms (34.2% of total)

ival-mult: 196.0ms (31.9% of total)

ival-sub: 80.0ms (13% of total)

ival-sqrt: 67.0ms (10.9% of total)

ival-add: 42.0ms (6.8% of total)

exact: 11.0ms (1.8% of total)

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

ival-assert: 4.0ms (0.7% of total)

Bogosity

explain399.0ms (3.2%)

Memory

-12.8MiB live, 353.0MiB 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

67.0ms	4×	5	exit
44.0ms	482×	0	valid
3.0ms	12×	2	valid
2.0ms	14×	1	valid

Compiler

Compiled 194 to 43 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-add: 68.0ms (69.8% of total)

ival-mult: 13.0ms (13.3% of total)

ival-div: 8.0ms (8.2% of total)

ival-sqrt: 4.0ms (4.1% of total)

ival-sub: 3.0ms (3.1% of total)

adjust: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

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

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

preprocess285.0ms (2.3%)

Memory

20.7MiB live, 174.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.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

▶

99.9%

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

simplify120.0ms (1%)

Memory

12.2MiB live, 132.8MiB 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))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.4%)

Memory

-16.5MiB live, 138.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
accuracy	0.08203125	(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
accuracy	0.2109375	(.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	0.26953125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))

Samples

25.0ms	241×	0	valid
4.0ms	6×	2	valid
1.0ms	7×	1	valid
1.0ms	2×	5	exit

Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31.9% of total)

ival-sqrt: 6.0ms (31.9% of total)

ival-div: 4.0ms (21.3% of total)

adjust: 1.0ms (5.3% of total)

ival-sub: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory

12.9MiB live, 51.0MiB allocated

Counts

6 → 84

Calls

Call 1

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

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

Calls

21 calls:

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

simplify342.0ms (2.7%)

Memory

-2.2MiB live, 401.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	1781
1	1013	1561
2	3378	1491
3	7925	1491
0	8321	1388

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

rewrite303.0ms (2.4%)

Memory

-16.0MiB live, 319.6MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 428

Calls

Call 1

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

eval73.0ms (0.6%)

Memory: 5.7MiB live, 115.0MiB allocated
Compiler: Compiled 14 492 to 1 935 computations (86.6% saved)

prune94.0ms (0.7%)

Memory

-4.4MiB live, 154.8MiB 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
▶	99.9%	(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand (+.f64 a #s(literal -1/3 binary64)))
▶	99.9%	(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)))
	99.8%	(*.f64 (+.f64 a #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 rand (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))))
▶	99.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
	96.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) a))
▶	67.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
	33.3%	#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)))
▶	72.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))

Compiler

Compiled 218 to 138 computations (36.7% saved)

simplify252.0ms (2%)

Memory

33.1MiB live, 333.9MiB 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 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
cost-diff	0	(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
cost-diff	192	(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)))
cost-diff	0	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
cost-diff	0	(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))))
cost-diff	832	(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
cost-diff	0	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
cost-diff	128	(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
cost-diff	0	(+.f64 a #s(literal -1/3 binary64))
cost-diff	0	(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))
cost-diff	64	(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)))

Rules

11 650×	`lower-fma.f32`
11 640×	`lower-fma.f64`
2 884×	`lower--.f64`
2 884×	`lower--.f32`
2 674×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	230
0	52	226
1	109	215
2	262	215
3	761	215
4	1585	215
5	3297	215
6	6338	215
0	8238	210

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

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

localize145.0ms (1.2%)

Memory

2.5MiB live, 214.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy	0.09765625	(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)))
accuracy	0.203125	(/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))
accuracy	8.60664630730881	(*.f64 (/.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))) (+.f64 a #s(literal -1/3 binary64)))
accuracy	0.015625	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy	0.02734375	(/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
accuracy	0.109375	(fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand))
accuracy	17.642783186673626	(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand)))
accuracy	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
accuracy	0.015625	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy	0.04296875	(fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64)))
accuracy	0.296875	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	0	(+.f64 a #s(literal -1/3 binary64))
accuracy	20.6553255448355	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
accuracy	0	(+.f64 a #s(literal -1/3 binary64))
accuracy	0.04296875	(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)))
accuracy	0.07421875	(sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))
accuracy	0.26400375976844204	(/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))

Samples

91.0ms	243×	0	valid
3.0ms	7×	1	valid
3.0ms	6×	2	valid

Compiler

Compiled 223 to 37 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-add: 28.0ms (35.2% of total)

ival-mult: 19.0ms (23.9% of total)

ival-sqrt: 14.0ms (17.6% of total)

ival-div: 8.0ms (10.1% of total)

const: 7.0ms (8.8% of total)

adjust: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory

3.5MiB live, 72.5MiB allocated

Counts

16 → 324

Calls

Call 1

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

Outputs
#<alt (- (* -1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))>
#<alt (* -1/3 (sqrt -1/3))>
#<alt (+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))>
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#<alt (* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))>
#<alt (* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))>
#<alt (* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (* 1/3 (sqrt (- a 1/3)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))>
#<alt (* (sqrt a) rand)>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))>
#<alt (* (sqrt a) rand)>
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))>
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))>
#<alt (* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt (/ 1 (- a 1/3))))>
#<alt (* rand (sqrt -3))>
#<alt (+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))>
#<alt (+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))>
#<alt (* (sqrt (/ 1 a)) rand)>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))>
#<alt (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (/ -1/3 rand)>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (- (/ a rand) (* 1/3 (/ 1 rand)))>
#<alt (/ a rand)>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))>
#<alt (/ a rand)>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>
#<alt (/ (- a 1/3) rand)>

Calls

81 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(* rand (+ (* 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)))
3.0ms	a	@	0	(+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3))
2.0ms	a	@	-inf	(sqrt (+ (* 9 a) -3))
1.0ms	a	@	-inf	(/ (+ a -1/3) (sqrt (+ (* 9 a) -3)))
1.0ms	a	@	-inf	(+ (* (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) rand) (+ a -1/3))

simplify482.0ms (3.8%)

Memory

-11.3MiB live, 629.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 624×	`lower-fma.f64`
12 624×	`lower-fma.f32`
6 096×	`lower-*.f64`
6 096×	`lower-*.f32`
5 428×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	756	6313
1	2407	5476
0	8119	5093

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 322

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)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- a 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1/3 (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))
(* 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 (* 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
(- a 1/3)
(- a 1/3)
(- a 1/3)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (- 1 (* 1/3 (/ 1 a))))
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* 3 (sqrt a))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (+ (* -1/144 (sqrt (/ 1 (pow a 7)))) (* 3 (sqrt (/ 1 a)))))))
(* -3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* 1/3 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(- a 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (- a 1/3)))
(* rand (sqrt -1/3))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* (sqrt a) rand)
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(* (sqrt (/ 1 a)) rand)
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(* 1/3 rand)
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(- (/ a rand) (* 1/3 (/ 1 rand)))
(/ a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(/ a rand)
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)
(/ (- a 1/3) rand)

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

rewrite402.0ms (3.2%)

Memory

17.2MiB live, 491.6MiB allocated

Rules

4 866×	`lower-/.f32`
4 860×	`lower-/.f64`
4 676×	`lower-fma.f32`
4 666×	`lower-fma.f64`
3 282×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	187
0	52	188
1	237	175
2	2264	157
0	9150	157

Stop Event

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

Counts

16 → 1 378

Calls

Call 1

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

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

eval517.0ms (4.1%)

Memory: 11.0MiB live, 647.6MiB allocated
Compiler: Compiled 72 571 to 4 614 computations (93.6% saved)

prune420.0ms (3.3%)

Memory

0.2MiB live, 748.8MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	2 754	11	2 765
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	2 761	12	2 773

Accuracy

100.0%

Counts

2 773 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
▶	99.8%	(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
	98.5%	(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
	98.5%	(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3)) (*.f64 rand (sqrt.f64 a))) (+.f64 a #s(literal -1/3 binary64)))
▶	33.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64))))
	38.5%	#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))))
▶	38.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)))
▶	70.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
✓	67.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
	40.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
	33.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 rand #s(approx (+ ( 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))
▶	1.4%	#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 252 to 164 computations (34.9% saved)

simplify228.0ms (1.8%)

Memory

11.0MiB live, 325.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

7 056×	`lower-fma.f32`
7 054×	`lower-fma.f64`
4 938×	`lower-*.f32`
4 928×	`lower-*.f64`
2 142×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	194
0	58	190
1	115	178
2	259	178
3	788	178
4	2268	178
5	6688	178
0	8141	172

Stop Event

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

Calls

Call 1

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

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

localize143.0ms (1.1%)

Memory

-18.1MiB live, 277.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))
accuracy	0.2629762816206538	(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
accuracy	0.296875	(*.f64 rand #s(literal 1/3 binary64))
accuracy	42.62616022627926	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64))))
accuracy	0	(*.f64 a a)
accuracy	0.0234375	(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
accuracy	20.6553255448355	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)))
accuracy	30.532763227196973	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a))
accuracy	0	(+.f64 a #s(literal -1/3 binary64))
accuracy	0.03125	(*.f64 (+.f64 a #s(literal -1/3 binary64)) rand)
accuracy	12.968713995776843	(/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand)
accuracy	20.6553255448355	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
accuracy	20.6553255448355	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
accuracy	63.31282140531445	#s(approx (+ a -1/3) #s(literal -1/3 binary64))
accuracy	0	(+.f64 a #s(literal -1/3 binary64))
accuracy	0.015625	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy	0.09765625	(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	0.19921875	(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand)

Samples

91.0ms

256×

valid

Compiler

Compiled 174 to 37 computations (78.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 24.0ms (39.8% of total)

const: 14.0ms (23.2% of total)

ival-div: 8.0ms (13.3% of total)

ival-add: 6.0ms (9.9% of total)

ival-sqrt: 5.0ms (8.3% of total)

ival-sub: 3.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory

-6.7MiB live, 32.2MiB allocated

Counts

18 → 324

Calls

Call 1

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

Outputs
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))>
#<alt (* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* rand (sqrt -1/3))>
#<alt (+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))>
#<alt (+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))>
#<alt (* (sqrt a) rand)>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))>
#<alt (* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (* rand (sqrt (- a 1/3)))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1/3 rand)>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (+ (* -1/3 rand) (* a rand))>
#<alt (* a rand)>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a (+ rand (* -1/3 (/ rand a))))>
#<alt (* a rand)>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt (* rand (- a 1/3))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))>
#<alt (+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))>
#<alt (* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))>
#<alt (* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))>
#<alt (* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt 1/9>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (+ 1/9 (* -1 (pow a 2)))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* -1 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (- a 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))>
#<alt (- (* 1/3 (* rand (sqrt -1/3))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)>
#<alt (- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)>
#<alt (* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))>
#<alt (* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))>
#<alt (* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))>
#<alt (* 1/3 (* rand (sqrt -1/3)))>
#<alt (+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))>
#<alt (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))>
#<alt (+ (* 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))))))))>
#<alt (* 1/3 (* (sqrt a) rand))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))>
#<alt (* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))>
#<alt (* 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))))))>
#<alt (* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))>
#<alt (* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))>
#<alt (* -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))))))))>
#<alt (* -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)))))))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (* 1/3 (* rand (sqrt (- a 1/3))))>
#<alt (sqrt -1/3)>
#<alt (+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))>
#<alt (+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))>
#<alt (sqrt a)>
#<alt (* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))>
#<alt (* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))>
#<alt (* -1 (* (sqrt a) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))>
#<alt -1/3>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt (- a 1/3)>
#<alt a>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt (* a (- 1 (* 1/3 (/ 1 a))))>
#<alt a>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* -1 (* a (- (* 1/3 (/ 1 a)) 1)))>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>
#<alt (* 1/3 rand)>

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(/ (- 1/9 (* a a)) (- -1/3 a))
0.0ms	a	@	-inf	(* (sqrt (+ a -1/3)) rand)
0.0ms	a	@	0	(/ (- 1/9 (* a a)) (- -1/3 a))
0.0ms	a	@	-inf	(* (sqrt (+ -1/3 a)) (* rand 1/3))
0.0ms	a	@	inf	(* (sqrt (+ -1/3 a)) (* rand 1/3))

simplify520.0ms (4.1%)

Memory

-21.2MiB live, 461.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 386×	`lower-fma.f64`
17 386×	`lower-fma.f32`
6 054×	`lower-*.f64`
6 054×	`lower-*.f32`
5 124×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	423	4794
1	1340	4238
2	4806	4060
0	8264	3751

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 314

Calls

Call 1

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

Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 #s(literal -1/3 binary64) a)) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.f64 #s(literal -1/3 binary64) a)) a)
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(neg.f64 (.f64 a (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) a))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64) (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64)) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 (.f64 (.f64 rand a) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(.f64 a (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(.f64 a (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(.f64 a (.f64 rand (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (*.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 rand (sqrt.f64 a))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(.f64 a (.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(.f64 (.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(.f64 (.f64 (neg.f64 rand) (+.f64 (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64))))) (neg.f64 a))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 9/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(+.f64 (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (.f64 a (fma.f64 (/.f64 (.f64 rand #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/18 binary64) (.f64 #s(literal -1/6 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 45/16 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) #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))))))))
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(* a (+ 1 (* (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)))) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
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(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
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#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
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(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
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(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
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(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
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(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
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(+.f64 (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (.f64 a (fma.f64 (/.f64 (.f64 rand #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/18 binary64) (.f64 #s(literal -1/6 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 45/16 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
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(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 0 binary64))) a)
(* a (+ 1 (* (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)))) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) #s(literal -1/2 binary64))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
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(* -1/3 rand)
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(* a (+ rand (* -1/3 (/ rand a))))
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(* a rand)
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(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
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(* rand (- a 1/3))
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(* rand (- a 1/3))
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(* rand (- a 1/3))
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(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
(* rand (- a 1/3))
(*.f64 rand (+.f64 #s(literal -1/3 binary64) a))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1 binary64))) (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(fma.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 9/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))))) (fma.f64 (*.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(+.f64 (fma.f64 (.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -1/9 binary64) #s(literal -1/3 binary64)) (fma.f64 a (fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -3/2 binary64) a)) (.f64 a (fma.f64 (/.f64 (.f64 rand #s(literal 81/4 binary64)) (sqrt.f64 #s(literal -3 binary64))) (+.f64 #s(literal 1/18 binary64) (.f64 #s(literal -1/6 binary64) a)) (/.f64 (.f64 a (.f64 #s(literal 45/16 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))))))) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 a (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand)) #s(literal -1/3 binary64)) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 a (fma.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) #s(literal 0 binary64))) a)
(* a (+ 1 (* (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)))) (.f64 a (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a)
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1 binary64)) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64))))) #s(literal -1/2 binary64))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 a)) #s(literal 0 binary64)) (neg.f64 a))) a)))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(+ 1/9 (* -1 (pow a 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 a a))
(* -1 (pow a 2))
(*.f64 a (neg.f64 a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 a (fma.f64 a (/.f64 #s(literal 1/9 binary64) (.f64 a a)) (neg.f64 a)))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 a (fma.f64 a (/.f64 #s(literal 1/9 binary64) (.f64 a a)) (neg.f64 a)))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 a (fma.f64 a (/.f64 #s(literal 1/9 binary64) (.f64 a a)) (neg.f64 a)))
(* -1 (pow a 2))
(*.f64 a (neg.f64 a))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 a (fma.f64 a (/.f64 #s(literal 1/9 binary64) (.f64 a a)) (neg.f64 a)))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 a (fma.f64 a (/.f64 #s(literal 1/9 binary64) (.f64 a a)) (neg.f64 a)))
(* (pow a 2) (- (* 1/9 (/ 1 (pow a 2))) 1))
(.f64 a (fma.f64 a (/.f64 #s(literal 1/9 binary64) (.f64 a a)) (neg.f64 a)))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.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 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) #s(literal -1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1/3 binary64)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (/.f64 #s(literal -1/3 binary64) a)) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(fma.f64 a (fma.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (/.f64 #s(literal -1/3 binary64) a)) a)
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)) a)
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(neg.f64 (.f64 a (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) a))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand #s(literal -1/3 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal -1/216 binary64) (.f64 #s(literal 1/18 binary64) (sqrt.f64 a)))) a)) a)) (neg.f64 a))
(* 1/3 (* rand (sqrt -1/3)))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (*.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 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 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 rand a) #s(literal 1/48 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (/.f64 (.f64 rand #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))))
(* 1/3 (* (sqrt a) rand))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 a (.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 a (.f64 rand (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(.f64 a (.f64 rand (+.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))))))
(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(.f64 a (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(.f64 a (neg.f64 (.f64 (neg.f64 rand) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (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) (.f64 a (*.f64 a a)))) #s(literal 1/18 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 (.f64 (neg.f64 rand) (+.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))) (fma.f64 #s(literal -1/216 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/1296 binary64))))) (neg.f64 a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* a (- 1 (* 1/3 (/ 1 a))))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
a
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(fma.f64 a (/.f64 #s(literal -1/3 binary64) a) a)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)
(* 1/3 rand)
(*.f64 #s(literal 1/3 binary64) rand)

rewrite763.0ms (6%)

Memory

40.3MiB live, 474.2MiB allocated

Rules

3 986×	`lower-/.f32`
3 982×	`lower-/.f64`
3 820×	`lower-fma.f32`
3 818×	`lower-fma.f64`
3 054×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	173
0	58	161
1	235	145
2	2383	133
0	8956	133

Stop Event

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

Counts

18 → 1 278

Calls

Call 1

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

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

eval639.0ms (5.1%)

Memory: 5.1MiB live, 443.0MiB allocated
Compiler: Compiled 42 849 to 3 532 computations (91.8% saved)

prune313.0ms (2.5%)

Memory

-19.5MiB live, 473.1MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 906	8	1 914
Fresh	3	3	6
Picked	1	4	5
Done	0	1	1
Total	1 910	16	1 926

Accuracy

100.0%

Counts

1 926 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(fma.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) rand #s(approx (+ a -1/3) #s(literal -1/3 binary64)))
✓	99.8%	(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
▶	98.5%	(fma.f64 (*.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
▶	98.5%	(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
	27.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (/.f64 (*.f64 rand (+.f64 a #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
	33.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (*.f64 (/.f64 rand (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 a #s(literal -1/3 binary64))))
	33.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64)))
▶	33.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand))
✓	33.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64))))
	32.1%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 #s(approx (sqrt (+ -1/3 a)) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64))))
▶	32.0%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
✓	38.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)))
▶	68.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
✓	67.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
	40.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
✓	1.4%	#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 303 to 199 computations (34.3% saved)

simplify281.0ms (2.2%)

Memory

8.9MiB live, 242.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

8 808×	`lower-fma.f32`
8 804×	`lower-fma.f64`
2 796×	`lower-*.f32`
2 782×	`lower-*.f64`
1 492×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	252
0	69	252
1	131	246
2	275	246
3	712	246
4	1360	246
5	2484	246
6	4029	246
7	5559	246
8	6623	246
9	7043	246
10	7196	246
11	7302	246
12	7518	246
13	7714	246
0	8035	240

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.1%)

Memory

-27.5MiB live, 251.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 a)
accuracy	0.09765625	(fma.f64 (*.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
accuracy	0.19921875	(*.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) rand)
accuracy	1.8735755798816793	#s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))
accuracy	0.015625	(sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))
accuracy	0.2109375	(.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand)
accuracy	0.35546875	(*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64))
accuracy	42.62616022627926	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand))
accuracy	0.1796875	(*.f64 rand (sqrt.f64 a))
accuracy	0.2890625	(.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))
accuracy	1.878161156447171	#s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))
accuracy	42.62616022627926	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
accuracy	0	(*.f64 rand a)
accuracy	1.9342845071215475	#s(approx (* (+ a -1/3) rand) (*.f64 rand a))
accuracy	12.968713995776843	(/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)
accuracy	20.6553255448355	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
accuracy	0	(sqrt.f64 a)
accuracy	0.04296875	(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
accuracy	0.34765625	(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
accuracy	1.8705510445047637	#s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))

Samples

84.0ms

256×

valid

Compiler

Compiled 189 to 46 computations (75.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 30.0ms (47.9% of total)

ival-div: 8.0ms (12.8% of total)

ival-add: 8.0ms (12.8% of total)

ival-sqrt: 8.0ms (12.8% of total)

const: 7.0ms (11.2% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

31.6MiB live, 31.6MiB allocated

Counts

19 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
4.0ms	a	@	0	(* rand a)
1.0ms	a	@	-inf	(* 1/3 (* rand (sqrt a)))
1.0ms	a	@	-inf	(* 1/3 (sqrt a))
1.0ms	rand	@	0	(* 1/3 (* rand (sqrt a)))
0.0ms	a	@	0	(* 1/3 (* rand (sqrt a)))

simplify261.0ms (2.1%)

Memory

-9.3MiB live, 495.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 564×	`lower-fma.f64`
12 564×	`lower-fma.f32`
5 820×	`lower-*.f64`
5 820×	`lower-*.f32`
3 898×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	5546
1	2024	4884
2	7190	4815
0	8293	4491

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 382

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

Outputs
(- (* -1/3 (* rand (sqrt -1/3))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(fma.f64 a (fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1 binary64))) (fma.f64 #s(literal -1/3 binary64) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(fma.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (+.f64 a (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) #s(literal -1/3 binary64))))
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 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)
(+.f64 (fma.f64 a (fma.f64 a (fma.f64 rand (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (fma.f64 rand (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (.f64 rand (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a) (fma.f64 #s(literal -1/3 binary64) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal -1/3 binary64)))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand a)) a)
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(.f64 a (fma.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* a (- (+ 1 (+ (* -1/9 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))) (* 1/3 (/ 1 a))))
(.f64 a (+.f64 (+.f64 #s(literal 0 binary64) (.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/18 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) a))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal -1/9 binary64) rand) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal -1/6 binary64)) #s(literal -1/3 binary64)) a)) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/9 binary64) rand) #s(literal -1/3 binary64)) (/.f64 (fma.f64 (sqrt.f64 a) (.f64 #s(literal 1/18 binary64) rand) #s(literal 0 binary64)) a)) a)) (neg.f64 a))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(fma.f64 (*.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (+.f64 #s(literal -1/3 binary64) a))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(.f64 (.f64 rand (+.f64 #s(literal -1/3 binary64) a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(*.f64 rand (fma.f64 (+.f64 #s(literal -1/3 binary64) a) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1/3 (sqrt -1/3))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* -1/3 (sqrt -1/3)) (* a (+ (sqrt -1/3) (* 1/6 (/ 1 (sqrt -1/3))))))
(fma.f64 a (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #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 a (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 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)))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #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 a (+.f64 (sqrt.f64 #s(literal -1/3 binary64)) (fma.f64 a (+.f64 (/.f64 #s(literal 3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (fma.f64 a (+.f64 (/.f64 #s(literal -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 15/16 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1/3 binary64))))) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1/3 binary64))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(.f64 a (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/9 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(.f64 a (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -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))))))))
(.f64 a (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/18 binary64)))))
(* 1/3 (sqrt a))
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))
(* -1 (* a (+ (* -1/3 (sqrt (/ 1 a))) (* 1/9 (sqrt (/ 1 (pow a 3)))))))
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* 1/3 (* (sqrt a) rand))
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(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
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(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
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(* -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 (fma.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal 1/18 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand))) (neg.f64 a))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
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(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
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(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
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(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
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(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
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(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
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(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
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(* 1/3 (* rand (sqrt -1/3)))
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(* 1/3 (* (sqrt a) rand))
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(* -1/3 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 rand (.f64 #s(literal 1/3 binary64) (sqrt.f64 a)))
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(* 1/3 (* rand (sqrt (- a 1/3))))
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(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
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(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
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(* 1/3 (sqrt -1/3))
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(* 1/3 (sqrt a))
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(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
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(+ (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))))))
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(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
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(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
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(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
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(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
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(- (+ (* 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)
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(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 #s(literal 1/3 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 rand a)) 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))))
(.f64 a (+.f64 #s(literal 1 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (*.f64 #s(literal -1/18 binary64) rand) (/.f64 #s(literal -1/3 binary64) a)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (neg.f64 a))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/3 (/ 1 a))) 1)))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64))) (neg.f64 a))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(neg.f64 (.f64 a (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 rand #s(literal 1/18 binary64)) #s(literal -1/3 binary64)) a))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))) 1)))
(.f64 a (neg.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal -1/3 binary64) rand) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/216 binary64) (.f64 #s(literal -1/18 binary64) (sqrt.f64 a)))) a)) a))))
(- a 1/3)
(+.f64 #s(literal -1/3 binary64) a)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 #s(literal -1/3 binary64) a))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 rand (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (/.f64 (+.f64 #s(literal -1/3 binary64) a) rand)))
(* rand (sqrt -1/3))
(*.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 rand (sqrt.f64 #s(literal -1/3 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 rand a)) (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* -1/8 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/2 (/ rand (sqrt -1/3))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64)) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64))) (*.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 (.f64 (.f64 rand a) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/2 binary64))) (.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))
(* (sqrt a) rand)
(*.f64 rand (sqrt.f64 a))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(.f64 a (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (*.f64 #s(literal -1/72 binary64) 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)))))
(.f64 a (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64))) (*.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(*.f64 rand (sqrt.f64 a))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(.f64 a (.f64 rand (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(.f64 a (neg.f64 (fma.f64 (.f64 rand (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) #s(literal 1/72 binary64) (.f64 (neg.f64 rand) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(.f64 (fma.f64 (neg.f64 rand) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/432 binary64))))) (neg.f64 a))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(* rand (sqrt (- a 1/3)))
(*.f64 rand (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 3/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 a (fma.f64 a (-.f64 (/.f64 (*.f64 a #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) (sqrt.f64 #s(literal -1/3 binary64)))
(sqrt a)
(sqrt.f64 a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(.f64 a (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/72 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64)))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(sqrt.f64 a)
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))) (neg.f64 a))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/72 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/432 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))) (neg.f64 a))

rewrite680.0ms (5.4%)

Memory

0.7MiB live, 397.1MiB allocated

Rules

4 420×	`lower-fma.f32`
4 416×	`lower-fma.f64`
4 220×	`lower-/.f32`
4 218×	`lower-/.f64`
3 468×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	222
0	69	222
1	258	216
2	2245	210
0	8191	205

Stop Event

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

Counts

19 → 297

Calls

Call 1

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

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

eval125.0ms (1%)

Memory: 28.3MiB live, 181.2MiB allocated
Compiler: Compiled 13 693 to 1 305 computations (90.5% saved)

prune113.0ms (0.9%)

Memory

-16.1MiB live, 200.2MiB allocated

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	714	3	717
Fresh	3	3	6
Picked	0	5	5
Done	0	5	5
Total	717	16	733

Accuracy

100.0%

Counts

733 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (*.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
✓	98.5%	(fma.f64 (*.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) (+.f64 a #s(literal -1/3 binary64)))
✓	98.5%	(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
	33.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand))
	33.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64)))
✓	33.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) #s(literal 1/3 binary64)) rand))
	32.1%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand))
✓	33.3%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)) (.f64 rand #s(literal 1/3 binary64))))
	32.1%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 #s(approx (sqrt (+ -1/3 a)) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64))))
✓	32.0%	#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
✓	38.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)))
✓	68.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand))
✓	67.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
	40.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
	68.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (/.f64 #s(literal 1 binary64) rand) #s(approx ( (+ a -1/3) rand) (*.f64 a rand))))
✓	1.4%	#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 487 to 193 computations (60.4% saved)

regimes50.0ms (0.4%)

Memory

5.2MiB live, 79.2MiB allocated

Counts

31 → 1

Calls

Call 1

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

Calls

4 calls:

16.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
14.0ms	rand
9.0ms	a
9.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes45.0ms (0.4%)

Memory

7.5MiB live, 91.0MiB allocated

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

14.0ms	rand
13.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
8.0ms	a
8.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes30.0ms (0.2%)

Memory

3.5MiB live, 81.1MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms	rand
6.0ms	a
6.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

Accuracy	Segments	Branch
98.5%	1	`a`
98.5%	1	`rand`
98.5%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
98.5%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes25.0ms (0.2%)

Memory

-8.0MiB live, 75.8MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`a`
98.5%	1	`rand`
98.5%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
98.5%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes24.0ms (0.2%)

Memory

-23.3MiB live, 55.0MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

6.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
6.0ms	a
5.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms	rand

Results

Accuracy	Segments	Branch
70.0%	1	`a`
70.0%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
94.4%	3	`rand`
88.3%	3	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes6.0ms (0%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

5.0ms

rand

Results

Accuracy	Segments	Branch
94.4%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Memory

-25.6MiB live, 13.7MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

rand

Results

Accuracy	Segments	Branch
94.4%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory

14.0MiB live, 14.0MiB 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 -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))))
#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))
#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 #s(approx (sqrt (+ -1/3 a)) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64))))
#s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 #s(approx (sqrt (+ a -1/3)) (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 binary64) rand) #s(approx ( (+ a -1/3) rand) (*.f64 a rand))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 a a)) (-.f64 #s(literal -1/3 binary64) a)))

Outputs

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

Calls

1 calls:

4.0ms

rand

Results

Accuracy	Segments	Branch
93.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

rand

Results

Accuracy	Segments	Branch
93.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

rand

Results

Accuracy	Segments	Branch
93.2%	3	`rand`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-26.9MiB live, 14.1MiB 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 -1/3) rand) (*.f64 rand a)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (/.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (*.f64 (+.f64 a #s(literal -1/3 binary64)) rand) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (+.f64 a #s(literal 1/3 binary64))))

Outputs

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

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

Calls

2 calls:

4.0ms

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

3.0ms

rand

Results

Accuracy	Segments	Branch
72.8%	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)))`
72.9%	2	`rand`

Compiler

Compiled 25 to 15 computations (40% saved)

regimes7.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
67.7%	1	`a`
67.7%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
67.7%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
67.7%	1	`rand`

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes7.0ms (0.1%)

Memory

-20.9MiB live, 18.5MiB 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:

2.0ms	rand
1.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	a

Results

Accuracy	Segments	Branch
1.4%	1	`a`
1.4%	1	`rand`
1.4%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
1.4%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 35 to 23 computations (34.3% saved)

bsearch29.0ms (0.2%)

Memory

25.3MiB live, 64.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.7995453337393125e+84	1.3859896570148763e+91
9.0ms	-1.6462197266262157e+53	-5.153817883965963e+52

Samples

16.0ms

224×

valid

Compiler

Compiled 291 to 214 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (36.9% of total)

ival-div: 3.0ms (27.6% of total)

ival-sub: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

ival-sqrt: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.3MiB live, 5.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7995453337393125e+84	1.3859896570148763e+91
1.0ms	-1.6462197266262157e+53	-5.153817883965963e+52

Compiler

Compiled 291 to 214 computations (26.5% saved)

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7995453337393125e+84	1.3859896570148763e+91
1.0ms	-1.6462197266262157e+53	-5.153817883965963e+52

Compiler

Compiled 305 to 214 computations (29.8% saved)

bsearch21.0ms (0.2%)

Memory

-41.1MiB live, 41.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.7995453337393125e+84	1.3859896570148763e+91
1.0ms	-1.6462197266262157e+53	-5.153817883965963e+52

Samples

9.0ms

128×

valid

Compiler

Compiled 277 to 186 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (32.5% of total)

ival-mult: 2.0ms (32.5% of total)

ival-sub: 1.0ms (16.3% of total)

ival-add: 1.0ms (16.3% of total)

ival-sqrt: 1.0ms (16.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7995453337393125e+84	1.3859896570148763e+91
1.0ms	-1.6462197266262157e+53	-5.153817883965963e+52

Compiler

Compiled 277 to 186 computations (32.9% saved)

bsearch1.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7995453337393125e+84	1.3859896570148763e+91
1.0ms	-1.6462197266262157e+53	-5.153817883965963e+52

Compiler

Compiled 277 to 186 computations (32.9% saved)

bsearch20.0ms (0.2%)

Memory

-2.0MiB live, 36.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.1674527425928562e+148	7.796991543141819e+159

Samples

12.0ms

160×

valid

Compiler

Compiled 195 to 118 computations (39.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (34.1% of total)

ival-sub: 2.0ms (22.7% of total)

ival-div: 2.0ms (22.7% of total)

ival-add: 1.0ms (11.4% of total)

ival-sqrt: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	704
1	116	704

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3)) (*.f64 rand (sqrt.f64 a))) (+.f64 a #s(literal -1/3 binary64)))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 rand #s(approx (+ ( 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (if (<=.f64 rand #s(literal 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 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 rand #s(approx (+ ( 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand)) (if (<=.f64 rand #s(literal 4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 #s(approx (sqrt (+ -1/3 a)) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))

Outputs
(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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 #s(literal 1/3 binary64) rand) (+.f64 a #s(literal -1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (*.f64 rand #s(literal 1/3 binary64)) (+.f64 a #s(literal -1/3 binary64))))
(fma.f64 #s(approx (/ (+ a -1/3) (sqrt (+ (* 9 a) -3))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 a))) rand (+.f64 a #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3)) (*.f64 rand (sqrt.f64 a))) (+.f64 a #s(literal -1/3 binary64)))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) rand) #s(literal 1/3 binary64)))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 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 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand))) (if (<=.f64 rand #s(literal 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 #s(literal 1/3 binary64) rand)))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 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 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))) (.f64 rand #s(literal 1/3 binary64))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 rand #s(approx (+ ( 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a)))))) (if (<=.f64 rand #s(literal 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 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 rand #s(approx (+ ( 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 #s(literal -1/3 binary64) a))))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 rand #s(approx (+ ( 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64))))))) (if (<=.f64 rand #s(literal 3700000000000000019624840619544211277415379743714096457075315051676313771916627279872 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 rand #s(approx (+ ( 1/3 (sqrt (+ a -1/3))) (/ (+ a -1/3) rand)) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (+.f64 a #s(literal -1/3 binary64)))))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand)) (if (<=.f64 rand #s(literal 4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 rand (.f64 #s(literal 1/3 binary64) #s(approx (sqrt (+ a -1/3)) (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 #s(approx (sqrt (+ -1/3 a)) (sqrt.f64 a)) (.f64 rand #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) (.f64 (.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (+ -1/3 a)) (sqrt.f64 a)))) (if (<=.f64 rand #s(literal 4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal -89999999999999999389885380692546517881553759774965760 binary64)) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a))))) (if (<=.f64 rand #s(literal 4399999999999999807298811089714521381898402788509838207926980468144545596011349861929582592 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (+ (* 1/3 (* (/ rand (sqrt (+ a -1/3))) (+ a -1/3))) (+ a -1/3)) #s(approx (* (sqrt (+ -1/3 a)) (* rand 1/3)) (.f64 #s(literal 1/3 binary64) (.f64 rand (sqrt.f64 a)))))))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 rand a)) rand)))
(if (<=.f64 rand #s(literal 41000000000000000175140236588724667519703994603185064932251636044952580292480865218833367899177121867695353514508649894391301889063431790010311667175391232 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/.f64 #s(approx (* (+ a -1/3) rand) (*.f64 a rand)) rand)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+.f64 a #s(literal -1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (+ a -1/3) #s(literal -1/3 binary64)))

soundness1.7s (13.3%)

Memory

-87.7MiB live, 1 172.3MiB allocated

Rules

17 386×	`lower-fma.f64`
17 386×	`lower-fma.f32`
13 334×	`lower-fma.f64`
13 334×	`lower-fma.f32`
12 624×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	22	46
1	78	40
2	546	40
3	6493	40
0	8173	36
0	423	4794
1	1340	4238
2	4806	4060
0	8264	3751
0	333	1781
1	1013	1561
2	3378	1491
3	7925	1491
0	8321	1388
0	628	5546
1	2024	4884
2	7190	4815
0	8293	4491
0	756	6313
1	2407	5476
0	8119	5093
0	41	173
0	58	161
1	235	145
2	2383	133
0	8956	133
0	33	187
0	52	188
1	237	175
2	2264	157
0	9150	157

Stop Event

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

Compiler

Compiled 670 to 339 computations (49.4% saved)

preprocess317.0ms (2.5%)

Memory: -9.3MiB live, 152.3MiB allocated
Compiler: Compiled 536 to 122 computations (77.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze16.0ms (0.1%)

sample2.1s (16.8%)

explain399.0ms (3.2%)

preprocess285.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify120.0ms (1%)

localize50.0ms (0.4%)

series16.0ms (0.1%)

simplify342.0ms (2.7%)

rewrite303.0ms (2.4%)

eval73.0ms (0.6%)

prune94.0ms (0.7%)

simplify252.0ms (2%)

localize145.0ms (1.2%)

series35.0ms (0.3%)

simplify482.0ms (3.8%)

rewrite402.0ms (3.2%)

eval517.0ms (4.1%)

prune420.0ms (3.3%)

simplify228.0ms (1.8%)

localize143.0ms (1.1%)

series13.0ms (0.1%)

simplify520.0ms (4.1%)

rewrite763.0ms (6%)

eval639.0ms (5.1%)

prune313.0ms (2.5%)

simplify281.0ms (2.2%)

localize134.0ms (1.1%)

series19.0ms (0.1%)

simplify261.0ms (2.1%)

rewrite680.0ms (5.4%)

eval125.0ms (1%)

prune113.0ms (0.9%)

regimes50.0ms (0.4%)

regimes45.0ms (0.4%)

regimes30.0ms (0.2%)

regimes25.0ms (0.2%)

regimes24.0ms (0.2%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch29.0ms (0.2%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch21.0ms (0.2%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch20.0ms (0.2%)

simplify11.0ms (0.1%)

soundness1.7s (13.3%)

preprocess317.0ms (2.5%)

end0.0ms (0%)

Profiling