Metrics for Octave 3.8, oct_fill

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze17.0ms (0.3%)

Memory

-9.5MiB live, 27.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.4s (25.7%)

Memory

47.8MiB live, 1 494.7MiB allocated

Samples

999.0ms	8 256×	0	valid
37.0ms	533×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 685.0ms

ival-div: 241.0ms (35.2% of total)

ival-mult: 186.0ms (27.2% of total)

ival-sub: 95.0ms (13.9% of total)

ival-add: 76.0ms (11.1% of total)

ival-sqrt: 65.0ms (9.5% of total)

exact: 12.0ms (1.8% of total)

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

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

Bogosity

explain252.0ms (4.7%)

Memory

-38.7MiB live, 216.1MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

60.0ms	494×	0	valid
3.0ms	12×	2	valid
1.0ms	6×	1	valid

Compiler

Compiled 276 to 56 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 9.0ms (31.9% of total)

ival-div: 8.0ms (28.4% of total)

ival-sqrt: 4.0ms (14.2% of total)

ival-sub: 3.0ms (10.6% of total)

ival-add: 2.0ms (7.1% of total)

adjust: 1.0ms (3.5% of total)

exact: 1.0ms (3.5% of total)

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

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

preprocess198.0ms (3.7%)

Memory

23.1MiB live, 145.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	103	76
2	397	70
3	1476	70
4	4709	70
0	13	16
0	22	16
1	42	14
2	112	14
3	311	14
4	977	14
5	2330	14
6	3585	14
7	3741	14
8	3879	14
9	3979	14
10	3979	14
11	4034	14
12	4122	14
0	4122	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)))

Inputs

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

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

Outputs

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

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

Compiler

Compiled 20 to 13 computations (35% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

99.8%

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

Compiler

Compiled 20 to 13 computations (35% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize39.0ms (0.7%)

Memory

-8.6MiB live, 66.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.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)))
accuracy	0.234375	(.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))))))
accuracy	0.3827970891859088	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))

Samples

28.0ms	247×	0	valid
2.0ms	6×	2	valid
1.0ms	3×	1	valid

Compiler

Compiled 170 to 28 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 6.0ms (35.4% of total)

ival-mult: 5.0ms (29.5% of total)

ival-sqrt: 2.0ms (11.8% of total)

ival-add: 1.0ms (5.9% of total)

ival-sub: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

4 → 54

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
(.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 (/.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
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 1/3 (sqrt -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 (* 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 (+ 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)))))))))))))
(* 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)))))))
(* 1/3 (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))))))
(* 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)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* -1 (* (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))))))))
(* (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)))))
(* (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)))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(- a 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))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))

Calls

6 calls:

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

simplify64.0ms (1.2%)

Memory

-18.2MiB live, 66.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	324	1543
0	1117	1445

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

54 → 54

Calls

Call 1

Inputs
(* 3 (sqrt -1/3))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* 1/3 (sqrt -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 (* 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 (+ 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)))))))))))))
(* 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)))))))
(* 1/3 (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))))))
(* 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)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* -1 (* (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))))))))
(* (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)))))
(* (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)))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(- a 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))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))

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

rewrite209.0ms (3.9%)

Memory

8.6MiB live, 216.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	22	40
1	82	34
2	599	34
3	7202	34
0	8393	31

Stop Event

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

Counts

4 → 369

Calls

Call 1

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

eval89.0ms (1.7%)

Memory: 1.9MiB live, 78.1MiB allocated
Compiler: Compiled 12 641 to 1 628 computations (87.1% saved)

prune27.0ms (0.5%)

Memory

-18.0MiB live, 25.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	413	10	423
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	414	10	424

Accuracy

100.0%

Counts

424 → 10

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 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
	99.8%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
▶	91.0%	(fma.f64 (/.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal -1 binary64) (-.f64 a #s(literal 1/3 binary64)))
	99.8%	(fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
	52.4%	(fma.f64 rand (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (-.f64 a #s(literal -1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))
▶	99.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
▶	65.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	97.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
▶	72.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
	35.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))

Compiler

Compiled 462 to 298 computations (35.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize175.0ms (3.3%)

Memory

-12.4MiB live, 185.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (/.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) #s(literal -1 binary64) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.015625	(*.f64 rand (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.2734375	(*.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy	5.968570866320655	(/.f64 (.f64 rand (-.f64 a #s(literal 1/3 binary64))) (.f64 #s(literal -3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
accuracy	0.00390625	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.01171875	(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
accuracy	0.140625	(fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
accuracy	17.774529228255652	(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
accuracy	0.00390625	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.09375	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a)
accuracy	0.33984375	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	0.0	(-.f64 a #s(literal 1/3 binary64))
accuracy	21.89305225659002	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.0	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.0703125	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.265625	(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64))))
accuracy	0.3827970891859088	(sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))

Samples

107.0ms	247×	0	valid
25.0ms	6×	2	valid
1.0ms	3×	1	valid

Compiler

Compiled 500 to 75 computations (85% saved)

Precisions

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

ival-mult: 30.0ms (50.3% of total)

ival-div: 8.0ms (13.4% of total)

ival-add: 7.0ms (11.7% of total)

ival-sqrt: 5.0ms (8.4% of total)

ival-sub: 4.0ms (6.7% of total)

const: 4.0ms (6.7% of total)

adjust: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

series37.0ms (0.7%)

Memory

13.5MiB live, 51.5MiB allocated

Counts

16 → 159

Calls

Call 1

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

Outputs
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* -1/3 (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 (* rand (sqrt -1/3))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
-1/3
(- a 1/3)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -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 (* 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)))))))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(* -1/3 (* rand (sqrt -1/3)))
(+ (* -1/3 (* rand (sqrt -1/3))) (* -1/6 (/ (* a rand) (sqrt -1/3))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3))))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3))))))))
(* -3 (sqrt -1/3))
(+ (* -3 (sqrt -1/3)) (* -3/2 (/ a (sqrt -1/3))))
(+ (* -3 (sqrt -1/3)) (* a (- (* 3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* -3 (sqrt -1/3)) (* a (- (* a (+ (* -3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* -1/3 rand)
(+ (* -1/3 rand) (* a rand))
(- (* 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)
(* 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)))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(* a (+ 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))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))
(/ a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* -1/3 (* (sqrt a) rand))
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))))
(* -3 (sqrt a))
(* a (+ (* -3 (sqrt (/ 1 a))) (* 1/2 (sqrt (/ 1 (pow a 3))))))
(* a (+ (* -3 (sqrt (/ 1 a))) (+ (* 1/24 (sqrt (/ 1 (pow a 5)))) (* 1/2 (sqrt (/ 1 (pow a 3)))))))
(* a (+ (* -3 (sqrt (/ 1 a))) (+ (* 1/144 (sqrt (/ 1 (pow a 7)))) (+ (* 1/24 (sqrt (/ 1 (pow a 5)))) (* 1/2 (sqrt (/ 1 (pow a 3))))))))
(* a rand)
(* a (+ rand (* -1/3 (/ rand a))))
(* 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))))
(* -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 (* 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 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -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)))
(* -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)))
(* -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)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
(* 3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (+ (* -1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (* 1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 rand)
(+ a (* 1/3 (* rand (sqrt (- a 1/3)))))
(/ (- a 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(* -1/3 (* rand (sqrt (- a 1/3))))
(* rand (- a 1/3))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 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 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	rand	@	0	((sqrt (+ (* a 9) -3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) (* -3 (sqrt (- a 1/3))) (* rand (- a 1/3)) (+ (* (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) -1) (- a 1/3)))
7.0ms	a	@	-inf	((sqrt (+ (* a 9) -3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) (* -3 (sqrt (- a 1/3))) (* rand (- a 1/3)) (+ (* (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) -1) (- a 1/3)))
6.0ms	a	@	inf	((sqrt (+ (* a 9) -3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) (* -3 (sqrt (- a 1/3))) (* rand (- a 1/3)) (+ (* (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) -1) (- a 1/3)))
5.0ms	a	@	0	((sqrt (+ (* a 9) -3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) (* -3 (sqrt (- a 1/3))) (* rand (- a 1/3)) (+ (* (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) -1) (- a 1/3)))
3.0ms	rand	@	-inf	((sqrt (+ (* a 9) -3)) (/ (- a 1/3) (sqrt (+ (* a 9) -3))) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (- a 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (+ (* (* 1/3 rand) (sqrt (- a 1/3))) a) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) (* -3 (sqrt (- a 1/3))) (* rand (- a 1/3)) (+ (* (/ (* rand (- a 1/3)) (* -3 (sqrt (- a 1/3)))) -1) (- a 1/3)))

simplify114.0ms (2.1%)

Memory

9.4MiB live, 91.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	3910
0	2802	3663

Stop Event

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

Counts

159 → 158

Calls

Call 1

Inputs
(sqrt -3)
(+ (sqrt -3) (* 9/2 (/ a (sqrt -3))))
(+ (sqrt -3) (* a (+ (* -81/8 (/ a (pow (sqrt -3) 3))) (* 9/2 (/ 1 (sqrt -3))))))
(+ (sqrt -3) (* a (+ (* a (- (* 729/16 (/ a (pow (sqrt -3) 5))) (* 81/8 (/ 1 (pow (sqrt -3) 3))))) (* 9/2 (/ 1 (sqrt -3))))))
(* -1/3 (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 (* rand (sqrt -1/3))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (* rand (sqrt -1/3)))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))))) (* rand (sqrt -1/3))))))) 1/3)
(- (+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* 1/6 (/ rand (sqrt -1/3))) (+ (* a (+ (* -1/2 (/ rand (sqrt -1/3))) (+ (* 1/6 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* a (+ (* -1/2 (/ (* rand (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2))))) (sqrt -1/3))) (* 1/6 (/ (* rand (+ 9 (* 1/2 (/ (+ 3 (* 1/4 (/ 1 (pow (sqrt -1/3) 2)))) (pow (sqrt -1/3) 2))))) (sqrt -1/3)))))))) (* rand (sqrt -1/3))))))) 1/3)
-1/3
(- a 1/3)
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* 1/3 (* rand (sqrt -1/3)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -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 (* 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)))))))))
(sqrt -1/3)
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand))))
(+ (* a (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(+ (* a (+ (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))) (* rand (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3))))))) (* rand (- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))))
(- (* 1/3 (sqrt -1/3)) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (/ 1 rand) (* 1/6 (/ 1 (sqrt -1/3)))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* -1/24 (/ a (pow (sqrt -1/3) 3))) (+ (* 1/6 (/ 1 (sqrt -1/3))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(- (+ (* 1/3 (sqrt -1/3)) (* a (+ (* 1/6 (/ 1 (sqrt -1/3))) (+ (* a (- (* 1/48 (/ a (pow (sqrt -1/3) 5))) (* 1/24 (/ 1 (pow (sqrt -1/3) 3))))) (/ 1 rand))))) (* 1/3 (/ 1 rand)))
(/ -1/3 rand)
(- (/ a rand) (* 1/3 (/ 1 rand)))
(* -1/3 (* rand (sqrt -1/3)))
(+ (* -1/3 (* rand (sqrt -1/3))) (* -1/6 (/ (* a rand) (sqrt -1/3))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* 1/24 (/ (* a rand) (pow (sqrt -1/3) 3))))))
(+ (* -1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/48 (/ (* a rand) (pow (sqrt -1/3) 5))) (* 1/24 (/ rand (pow (sqrt -1/3) 3))))))))
(* -3 (sqrt -1/3))
(+ (* -3 (sqrt -1/3)) (* -3/2 (/ a (sqrt -1/3))))
(+ (* -3 (sqrt -1/3)) (* a (- (* 3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(+ (* -3 (sqrt -1/3)) (* a (- (* a (+ (* -3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(* -1/3 rand)
(+ (* -1/3 rand) (* a rand))
(- (* 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)
(* 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)))))))
(* 1/3 (sqrt a))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))
(* a (+ (* -1/9 (sqrt (/ 1 (pow a 3)))) (+ (* -1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/54 (sqrt (/ 1 (pow a 5)))) (+ (* 1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a))))))))
(* a (+ 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))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(* a (- (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (* 1/3 (/ 1 a))))
(* a (- (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))) (* 1/3 (/ 1 a))))
(* a (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* a (- (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)) (* 1/3 (/ 1 (* a rand)))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))) (/ 1/3 (* a rand))))
(* a (- (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (+ (* -1/216 (sqrt (/ 1 (pow a 5)))) (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))) (/ 1/3 (* a rand))))
(/ a rand)
(* a (- (/ 1 rand) (* 1/3 (/ 1 (* a rand)))))
(* -1/3 (* (sqrt a) rand))
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand))))))
(* -3 (sqrt a))
(* a (+ (* -3 (sqrt (/ 1 a))) (* 1/2 (sqrt (/ 1 (pow a 3))))))
(* a (+ (* -3 (sqrt (/ 1 a))) (+ (* 1/24 (sqrt (/ 1 (pow a 5)))) (* 1/2 (sqrt (/ 1 (pow a 3)))))))
(* a (+ (* -3 (sqrt (/ 1 a))) (+ (* 1/144 (sqrt (/ 1 (pow a 7)))) (+ (* 1/24 (sqrt (/ 1 (pow a 5)))) (* 1/2 (sqrt (/ 1 (pow a 3))))))))
(* a rand)
(* a (+ rand (* -1/3 (/ rand a))))
(* 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))))
(* -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 (* 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 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/9 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1/9 (* (sqrt (/ 1 a)) rand)) (* -1/18 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/9 (* (sqrt (/ 1 a)) rand))) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1)))
(* -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)))
(* -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)))
(* -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)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))))
(* -1 (* a (+ (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))) (* 1/3 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))) (* 1/18 (* (sqrt a) (* rand (pow (sqrt -1) 2))))) a)) 1/3) a)) (* rand (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))))
(* -1 (* a (- (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(* -1 (* a (- (+ (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 (* a rand)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/216 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* 1/18 (* (sqrt a) (pow (sqrt -1) 2)))) a)) (* 1/3 (/ 1 rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))) (/ 1 rand))))
(* -1 (* a (- (* 1/3 (/ 1 (* a rand))) (/ 1 rand))))
(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))))
(* 3 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* 1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2)))))))
(* -1 (* a (+ (* -3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (+ (* -1/144 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (* 1/24 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))))))))
(* -1 (* a (+ (* -1 rand) (* 1/3 (/ rand a)))))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(- (+ a (* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))) 1/3)
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(* 1/3 rand)
(+ a (* 1/3 (* rand (sqrt (- a 1/3)))))
(/ (- a 1/3) rand)
(/ (- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3) rand)
(* -1/3 (* rand (sqrt (- a 1/3))))
(* rand (- a 1/3))
(* (* rand (- a 1/3)) (sqrt (/ 1 (- (* 9 a) 3))))
(* rand (- (+ (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3)))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* 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 (sqrt (- a 1/3)))
(- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand)))
(* -1 (* rand (+ (* -1 (* (- a 1/3) (sqrt (/ 1 (- (* 9 a) 3))))) (* -1 (/ (- a 1/3) rand)))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt (- a 1/3))))))

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

rewrite287.0ms (5.4%)

Memory

-16.4MiB live, 416.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	164
0	56	161
1	242	153
2	2261	153
0	8172	153

Stop Event

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

Counts

16 → 1 445

Calls

Call 1

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

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

eval333.0ms (6.2%)

Memory: 27.9MiB live, 383.5MiB allocated
Compiler: Compiled 57 527 to 5 344 computations (90.7% saved)

prune32.0ms (0.6%)

Memory

12.9MiB live, 90.9MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1 587	11	1 598
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	1 595	13	1 608

Accuracy

100.0%

Counts

1 608 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) rand (-.f64 a #s(literal 1/3 binary64)))
	34.5%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	97.8%	#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
	29.0%	#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
	36.1%	#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))))
▶	99.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
▶	98.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.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)))
✓	65.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
	35.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	38.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
▶	35.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))
	65.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
▶	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))

Compiler

Compiled 742 to 502 computations (32.3% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize92.0ms (1.7%)

Memory

-5.7MiB live, 148.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.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)))
accuracy	0.09375	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a)
accuracy	0.33984375	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	1.3047324156030335	#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
accuracy	0.00390625	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.3515625	(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
accuracy	17.774529228255652	(.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)
accuracy	41.48163662530028	#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)))
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
accuracy	0.01171875	(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
accuracy	17.774529228255652	(.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
accuracy	21.771014129856518	#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
accuracy	21.89305225659002	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
accuracy	63.31155414559677	#s(approx (- a 1/3) #s(literal -1/3 binary64))
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
accuracy	0.00390625	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.06640625	(fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a)
accuracy	0.21484375	(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)

Samples

67.0ms

256×

valid

Compiler

Compiled 621 to 75 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 21.0ms (41.8% of total)

ival-div: 8.0ms (15.9% of total)

const: 7.0ms (13.9% of total)

ival-sub: 5.0ms (9.9% of total)

ival-sqrt: 5.0ms (9.9% of total)

ival-add: 4.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory

5.2MiB live, 44.0MiB allocated

Counts

17 → 106

Calls

Call 1

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

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

Calls

6 calls:

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

simplify61.0ms (1.1%)

Memory

-20.5MiB live, 63.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	2581
0	1792	2427

Stop Event

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

Counts

106 → 105

Calls

Call 1

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

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

rewrite165.0ms (3.1%)

Memory

28.2MiB live, 212.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	253
0	57	253
1	197	245
2	1557	245
0	8657	236

Stop Event

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

Counts

17 → 211

Calls

Call 1

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

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

eval63.0ms (1.2%)

Memory: 3.9MiB live, 92.4MiB allocated
Compiler: Compiled 19 290 to 2 004 computations (89.6% saved)

prune15.0ms (0.3%)

Memory

0.0MiB live, 36.9MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	353	5	358
Fresh	2	5	7
Picked	4	1	5
Done	0	1	1
Total	359	12	371

Accuracy

100.0%

Counts

371 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) rand (-.f64 a #s(literal 1/3 binary64)))
	34.5%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶	97.8%	#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
	29.0%	#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
▶	98.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
✓	65.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
▶	35.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	34.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))) rand))
	35.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand))
	37.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
▶	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))) rand))
✓	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))

Compiler

Compiled 718 to 464 computations (35.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize122.0ms (2.3%)

Memory

-20.9MiB live, 169.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
accuracy	0.1171875	(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
accuracy	0.2109375	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)
accuracy	1.329512168330456	#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
accuracy	0.00390625	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.33203125	(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy	0.33984375	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	41.44804634485812	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
accuracy	0.3515625	(*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))
accuracy	1.3047324156030335	#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
accuracy	17.774529228255652	(.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))) rand)
accuracy	41.48163662530028	#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)))
accuracy	0.38671875	(/.f64 #s(literal -1/3 binary64) rand)
accuracy	17.774529228255652	(.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))) rand)
accuracy	21.771014129856518	#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand)))
accuracy	63.09376913119003	#s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
accuracy	0.06640625	(fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) a)
accuracy	0.21484375	(*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand)
accuracy	1.3047324156030335	#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))

Samples

91.0ms

256×

valid

Compiler

Compiled 686 to 99 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 20.0ms (28.4% of total)

const: 17.0ms (24.2% of total)

ival-div: 14.0ms (19.9% of total)

ival-sqrt: 8.0ms (11.4% of total)

ival-add: 7.0ms (10% of total)

ival-sub: 4.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory

2.0MiB live, 40.4MiB allocated

Counts

19 → 140

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	rand	@	0	((sqrt (- a 1/3)) (* (sqrt (- a 1/3)) rand) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- a 1/3) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (/ -1/3 rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (sqrt (- a 1/3)) 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (* (* 1/3 rand) (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (+ (* (* (sqrt (/ 1 a)) rand) 1/3) 1))
5.0ms	rand	@	-inf	((sqrt (- a 1/3)) (* (sqrt (- a 1/3)) rand) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- a 1/3) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (/ -1/3 rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (sqrt (- a 1/3)) 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (* (* 1/3 rand) (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (+ (* (* (sqrt (/ 1 a)) rand) 1/3) 1))
3.0ms	a	@	inf	((sqrt (- a 1/3)) (* (sqrt (- a 1/3)) rand) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- a 1/3) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (/ -1/3 rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (sqrt (- a 1/3)) 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (* (* 1/3 rand) (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (+ (* (* (sqrt (/ 1 a)) rand) 1/3) 1))
3.0ms	rand	@	inf	((sqrt (- a 1/3)) (* (sqrt (- a 1/3)) rand) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- a 1/3) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (/ -1/3 rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (sqrt (- a 1/3)) 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (* (* 1/3 rand) (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (+ (* (* (sqrt (/ 1 a)) rand) 1/3) 1))
3.0ms	a	@	-inf	((sqrt (- a 1/3)) (* (sqrt (- a 1/3)) rand) (+ (* (* (sqrt (- a 1/3)) rand) 1/3) a) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (/ (- a 1/3) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (/ -1/3 rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (sqrt (- a 1/3)) 1/3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* 1/3 rand) (* (* 1/3 rand) (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (* (sqrt (/ 1 a)) rand) (sqrt (/ 1 a)) (+ (* (* (sqrt (/ 1 a)) rand) 1/3) 1))

simplify74.0ms (1.4%)

Memory

30.8MiB live, 112.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	624	3494
0	2277	3281

Stop Event

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

Counts

140 → 139

Calls

Call 1

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

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

rewrite183.0ms (3.4%)

Memory

-13.2MiB live, 172.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	259
0	70	259
1	261	246
2	2034	246
0	8940	239

Stop Event

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

Counts

19 → 158

Calls

Call 1

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

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

eval99.0ms (1.8%)

Memory: -16.5MiB live, 84.5MiB allocated
Compiler: Compiled 14 550 to 1 682 computations (88.4% saved)

prune20.0ms (0.4%)

Memory

-7.9MiB live, 30.6MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	303	3	306
Fresh	0	5	5
Picked	0	5	5
Done	0	2	2
Total	303	15	318

Accuracy

100.0%

Counts

318 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(fma.f64 (/.f64 (fma.f64 a a #s(literal -1/9 binary64)) (*.f64 (+.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) rand (-.f64 a #s(literal 1/3 binary64)))
	34.5%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	97.7%	#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
✓	97.8%	#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
	29.0%	#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64)))) (.f64 (-.f64 a #s(literal 1/3 binary64)) rand)))
	64.8%	#s(approx (+ (* (/ (- a 1/3) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (.f64 #s(approx (+ ( (* (sqrt (/ 1 a)) rand) 1/3) 1) #s(literal 1 binary64)) a))
✓	98.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
✓	65.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
✓	35.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
✓	34.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))) rand))
	35.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand))
	37.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
✓	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))) rand))
✓	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	34.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))

Compiler

Compiled 1 363 to 473 computations (65.3% saved)

regimes36.0ms (0.7%)

Memory

20.8MiB live, 57.4MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes28.0ms (0.5%)

Memory

13.8MiB live, 50.7MiB allocated

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

8.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
6.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
6.0ms	a
6.0ms	rand

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes49.0ms (0.9%)

Memory

-17.5MiB live, 26.9MiB allocated

Counts

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

Outputs

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

Calls

4 calls:

34.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
5.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms	a
5.0ms	rand

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes20.0ms (0.4%)

Memory

-6.5MiB live, 31.8MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`rand`
98.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
98.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes20.0ms (0.4%)

Memory

1.7MiB live, 39.5MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	a
4.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
4.0ms	rand

Results

Accuracy	Segments	Branch
98.8%	1	`a`
98.8%	1	`rand`
98.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
98.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes18.0ms (0.3%)

Memory

-0.9MiB live, 37.6MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
65.8%	1	`a`
95.3%	3	`rand`
88.4%	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)))`
65.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

rand

Results

Accuracy	Segments	Branch
94.3%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB 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) (sqrt (+ (* a 9) -3))) rand) (- a 1/3)) (.f64 #s(approx (+ ( (* (sqrt (/ 1 a)) rand) 1/3) 1) #s(literal 1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))

Outputs

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

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

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

Calls

1 calls:

3.0ms

rand

Results

Accuracy	Segments	Branch
94.3%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes13.0ms (0.2%)

Memory

-19.5MiB live, 21.0MiB allocated

Counts

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

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

Calls

4 calls:

5.0ms	a
3.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
3.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms	rand

Results

Accuracy	Segments	Branch
65.8%	1	`a`
65.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
65.8%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
65.8%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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:

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

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch33.0ms (0.6%)

Memory

20.3MiB live, 58.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	8.49803593409116e+75	1.37175759218069e+78
15.0ms	-9.649216213886552e+48	-1.7803031908700518e+44

Samples

17.0ms

240×

valid

Compiler

Compiled 1 013 to 693 computations (31.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 4.0ms (33.1% of total)

ival-div: 3.0ms (24.9% of total)

ival-sqrt: 2.0ms (16.6% of total)

ival-sub: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch3.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.49803593409116e+75	1.37175759218069e+78
1.0ms	-9.649216213886552e+48	-1.7803031908700518e+44

Compiler

Compiled 986 to 662 computations (32.9% saved)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.49803593409116e+75	1.37175759218069e+78
1.0ms	-9.649216213886552e+48	-1.7803031908700518e+44

Compiler

Compiled 923 to 648 computations (29.8% saved)

simplify73.0ms (1.4%)

Memory

-15.4MiB live, 58.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	471
1	90	471
2	98	471
3	107	471
4	133	471
5	160	471
6	167	471
7	176	471
8	185	471

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))
(if (<=.f64 rand #s(literal -9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt.f64 (.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)) (if (<=.f64 rand #s(literal 1050000000000000039771512955146801415361985593779020615116046538467559188987904 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 (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand))))
(if (<=.f64 rand #s(literal -9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 1050000000000000039771512955146801415361985593779020615116046538467559188987904 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 (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))) rand))))
(if (<=.f64 rand #s(literal -9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 1050000000000000039771512955146801415361985593779020615116046538467559188987904 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))

Outputs
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (fma.f64 a #s(literal 9 binary64) #s(literal -3 binary64)))) rand (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) a) #s(literal 1/3 binary64)))
(if (<=.f64 rand #s(literal -9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt.f64 (.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand)) (if (<=.f64 rand #s(literal 1050000000000000039771512955146801415361985593779020615116046538467559188987904 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 (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 a #s(literal 1/3 binary64))))) rand))))
(if (<=.f64 rand #s(literal -9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 1050000000000000039771512955146801415361985593779020615116046538467559188987904 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 (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64))) rand))))
(if (<=.f64 rand #s(literal -9499999999999999686368763196763739606922406395904 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 1050000000000000039771512955146801415361985593779020615116046538467559188987904 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))

soundness777.0ms (14.5%)

Memory

-9.3MiB live, 596.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	22	40
1	82	34
2	599	34
3	7202	34
0	8393	31
0	782	3910
0	2802	3663
0	324	1543
0	1117	1445
0	624	3494
0	2277	3281
0	40	253
0	57	253
1	197	245
2	1557	245
0	8657	236
0	495	2581
0	1792	2427
0	34	164
0	56	161
1	242	153
2	2261	153
0	8172	153

Stop Event

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

Compiler

Compiled 780 to 265 computations (66% saved)

preprocess79.0ms (1.5%)

Memory: 21.8MiB live, 60.0MiB allocated
Compiler: Compiled 1 102 to 176 computations (84% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	72	471
1	90	471
2	98	471
3	107	471
4	133	471
5	160	471
6	167	471
7	176	471
8	185	471

Iter	Nodes	Cost
0	72	471
1	90	471
2	98	471
3	107	471
4	133	471
5	160	471
6	167	471
7	176	471
8	185	471

start0.0ms (0%)

analyze17.0ms (0.3%)

sample1.4s (25.7%)

explain252.0ms (4.7%)

preprocess198.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize39.0ms (0.7%)

series14.0ms (0.3%)

simplify64.0ms (1.2%)

rewrite209.0ms (3.9%)

eval89.0ms (1.7%)

prune27.0ms (0.5%)

simplify0.0ms (0%)

localize175.0ms (3.3%)

series37.0ms (0.7%)

simplify114.0ms (2.1%)

rewrite287.0ms (5.4%)

eval333.0ms (6.2%)

prune32.0ms (0.6%)

simplify0.0ms (0%)

localize92.0ms (1.7%)

series14.0ms (0.3%)

simplify61.0ms (1.1%)

rewrite165.0ms (3.1%)

eval63.0ms (1.2%)

prune15.0ms (0.3%)

simplify0.0ms (0%)

localize122.0ms (2.3%)

series24.0ms (0.4%)

simplify74.0ms (1.4%)

rewrite183.0ms (3.4%)

eval99.0ms (1.8%)

prune20.0ms (0.4%)

regimes36.0ms (0.7%)

regimes28.0ms (0.5%)

regimes49.0ms (0.9%)

regimes20.0ms (0.4%)

regimes20.0ms (0.4%)

regimes18.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch33.0ms (0.6%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

simplify73.0ms (1.4%)

soundness777.0ms (14.5%)

preprocess79.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	72	471
1	90	471
2	98	471
3	107	471
4	133	471
5	160	471
6	167	471
7	176	471
8	185	471