Metrics for Octave 3.8, oct_fill

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze23.0ms (0.3%)

Memory

5.5MiB live, 52.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.8s (21.1%)

Memory

14.5MiB live, 1 912.3MiB allocated

Samples

1.2s	8 256×	0	valid
54.0ms	477×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 970.0ms

ival-mult: 350.0ms (36.1% of total)

ival-div: 260.0ms (26.8% of total)

ival-sub: 132.0ms (13.6% of total)

ival-add: 125.0ms (12.9% of total)

ival-sqrt: 81.0ms (8.4% of total)

exact: 11.0ms (1.1% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain272.0ms (3.1%)

Memory

14.2MiB live, 393.2MiB 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

52.0ms	482×	0	valid
4.0ms	14×	2	valid
3.0ms	6×	5	exit
2.0ms	10×	1	valid

Compiler

Compiled 192 to 43 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 14.0ms (34.7% of total)

ival-mult: 10.0ms (24.8% of total)

ival-add: 7.0ms (17.4% of total)

ival-sqrt: 4.0ms (9.9% of total)

ival-sub: 3.0ms (7.4% of total)

adjust: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

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

preprocess157.0ms (1.8%)

Memory

-8.4MiB live, 84.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	89	76
2	264	74
3	704	74
4	1276	74
5	1552	74
6	1810	74
7	2147	74
8	2423	74
9	2533	74
10	2658	74
11	2829	74
12	3037	74
13	3093	74
14	3279	74
15	3305	74
16	3305	74
17	3551	74
18	4031	74
0	13	16
0	22	16
1	39	14
2	83	14
3	191	14
4	329	14
5	427	14
6	528	14
7	638	14
8	742	14
9	823	14
10	865	14
11	968	14
12	998	14
13	1012	14
14	1087	14
15	1183	14
16	1196	14
0	1196	14

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 20 to 13 computations (35% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

simplify55.0ms (0.6%)

Memory

0.4MiB live, 48.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff	0	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
cost-diff	2	(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
0	22	66
1	39	60
2	83	60
3	191	60
4	329	60
5	427	60
6	528	60
7	638	60
8	742	60
9	823	60
10	865	60
11	968	60
12	998	60
13	1012	60
14	1087	60
15	1183	60
16	1196	60
0	1196	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.4%)

Memory

15.2MiB live, 59.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))
accuracy	0.21484375	(.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	0.2421875	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
accuracy	0.3867042851686411	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))

Samples

25.0ms	241×	0	valid
2.0ms	7×	2	valid
1.0ms	3×	5	exit
1.0ms	5×	1	valid

Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions

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

ival-mult: 9.0ms (47.7% of total)

ival-div: 4.0ms (21.2% of total)

ival-sqrt: 2.0ms (10.6% of total)

adjust: 1.0ms (5.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

-18.2MiB live, 25.8MiB allocated

Counts

7 → 63

Calls

Call 1

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

Outputs
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(* -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)
(* 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))))))
-3
(- (* 9 a) 3)
(* 1/3 (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(* 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))))))
(* 9 a)
(* a (- 9 (* 3 (/ 1 a))))
(* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/2 (* (sqrt (/ 1 a)) (/ (* rand (* (sqrt -1) (+ 1/27 (* -1/36 a)))) (sqrt -9))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (* rand (sqrt -1)) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* 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 (* (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)))))
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(* 1/3 (* rand (sqrt (/ 1 (- 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
7.0ms	rand	@	0	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3))))
4.0ms	a	@	-inf	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3))))
3.0ms	a	@	inf	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3))))
3.0ms	a	@	0	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3))))
1.0ms	rand	@	inf	((/ 1 3) (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (- a (/ 1 3)) (sqrt (* 9 (- a (/ 1 3)))) (/ 1 (sqrt (* 9 (- a (/ 1 3))))) (* 9 (- a (/ 1 3))))

simplify180.0ms (2.1%)

Memory

40.1MiB live, 320.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	1584
1	1141	1337
2	5043	1320
0	8009	1225

Stop Event

1×	iter limit
1×	node limit

Counts

63 → 62

Calls

Call 1

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

rewrite204.0ms (2.3%)

Memory

-15.9MiB live, 227.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	22	49
1	76	43
2	504	43
3	7155	43
0	8164	42

Stop Event

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

Counts

7 → 338

Calls

Call 1

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

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

eval57.0ms (0.7%)

Memory: 19.4MiB live, 162.3MiB allocated
Compiler: Compiled 14 177 to 1 956 computations (86.2% saved)

prune17.0ms (0.2%)

Memory

4.1MiB live, 49.4MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	423	14	437
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	424	14	438

Accuracy

100.0%

Counts

438 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
	99.9%	(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
	86.4%	(fma.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 rand (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
	35.0%	(fma.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a (fma.f64 a #s(literal 1/3 binary64) #s(literal 1/9 binary64)))) (.f64 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64))))
▶	99.8%	(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)))
	91.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 rand (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))) rand)) (-.f64 a #s(literal 1/3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
	99.8%	(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
▶	99.9%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))
	99.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 rand #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))))
	99.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
▶	0.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
▶	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
	76.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
	37.8%	#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 634 to 418 computations (34.1% saved)

simplify155.0ms (1.8%)

Memory

-2.7MiB live, 178.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
cost-diff	0	(-.f64 a #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))
cost-diff	2	(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)))
cost-diff	0	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
cost-diff	0	(/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
cost-diff	0	(*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
cost-diff	2	(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) rand)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
cost-diff	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 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
cost-diff	0	(sqrt.f64 #s(literal -3 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal -3 binary64)) rand)
cost-diff	0	(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
cost-diff	0	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
cost-diff	2	(*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	246
0	70	248
1	133	244
2	312	234
3	900	234
4	1981	234
5	2894	234
6	3295	234
7	3678	234
8	4450	234
9	6520	234
0	8185	230

Stop Event

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

Calls

Call 1

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

localize132.0ms (1.5%)

Memory

2.4MiB live, 285.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(/.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64))
accuracy	0.0	(/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy	0.0	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.0	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.0	(/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy	0.0	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.0	(*.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.0	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.0	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
accuracy	0.0	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	0.0	(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
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 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
accuracy	0.0	(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))
accuracy	0.0	(*.f64 (sqrt.f64 #s(literal -3 binary64)) rand)
accuracy	0.0	(sqrt.f64 #s(literal -3 binary64))
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
accuracy	0.0	(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
accuracy	0.0	(*.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
accuracy	0.0	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))
accuracy	0.0	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))

Samples

99.0ms

256×

invalid

Compiler

Compiled 247 to 44 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 20.0ms (31.2% of total)

ival-div: 17.0ms (26.5% of total)

const: 10.0ms (15.6% of total)

ival-sqrt: 7.0ms (10.9% of total)

ival-add: 6.0ms (9.4% of total)

ival-sub: 3.0ms (4.7% of total)

exact: 1.0ms (1.6% of total)

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

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

series45.0ms (0.5%)

Memory

-41.2MiB live, 64.5MiB allocated

Counts

20 → 119

Calls

Call 1

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

Outputs
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(- (* 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)
(* 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)))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(sqrt -1/3)
(+ (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))))))
-1/9
(- (* 1/3 a) 1/9)
-1/3
(- a 1/3)
(sqrt (/ 1 a))
(+ (* 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)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (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))))))))
(* 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))))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* 1/3 a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (* -1/9 (* rand (sqrt -3))) 1/3)
(* 1/3 rand)
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* -1/9 (* rand (sqrt -3)))
(* rand (- (* -1/9 (sqrt -3)) (* 1/3 (/ 1 rand))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* 1/9 (sqrt -3)) (* 1/3 (/ 1 rand)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	a	@	-inf	((/ 1 3) (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (/ (- a 1/3) 3) (- a 1/3) (sqrt (/ 1 a)))
3.0ms	rand	@	-inf	((/ 1 3) (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (/ (- a 1/3) 3) (- a 1/3) (sqrt (/ 1 a)))
3.0ms	a	@	inf	((/ 1 3) (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (/ (- a 1/3) 3) (- a 1/3) (sqrt (/ 1 a)))
3.0ms	rand	@	0	((/ 1 3) (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (/ (- a 1/3) 3) (- a 1/3) (sqrt (/ 1 a)))
3.0ms	a	@	0	((/ 1 3) (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* -1/9 (* (sqrt -3) rand)) -1/3) (* (sqrt -3) rand) (sqrt -3) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) (* 1/3 rand) (+ (* 1/3 (* (/ rand (sqrt (- a 1/3))) (- a 1/3))) (- a 1/3)) (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (/ (- a 1/3) 3) (- a 1/3) (sqrt (/ 1 a)))

simplify201.0ms (2.3%)

Memory

12.2MiB live, 241.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	500	2680
1	1748	2313
2	7922	2304
0	8245	2121

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 118

Calls

Call 1

Inputs
(* 1/3 (* rand (sqrt -3)))
(+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(* 1/3 (* (sqrt a) rand))
(+ a (* 1/3 (* (sqrt a) rand)))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(/ (+ a (* 1/3 (* (sqrt a) rand))) a)
(- (* 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)
(* 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)))
(* rand (sqrt -3))
(+ (* -9/2 (/ (* a rand) (sqrt -3))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* -1/2 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))) (* rand (sqrt -3)))
(+ (* a (+ (* -9/2 (/ rand (sqrt -3))) (* a (+ (* -1/2 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/2 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))) (* rand (sqrt -3)))
(sqrt -1/3)
(+ (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))))))
-1/9
(- (* 1/3 a) 1/9)
-1/3
(- a 1/3)
(sqrt (/ 1 a))
(+ (* 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)))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (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))))))))
(* 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))))
(* (sqrt a) rand)
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand))))
(* a (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* (sqrt (/ 1 a)) rand)))))
(* (sqrt (/ 1 a)) rand)
(+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* 1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/2 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* (sqrt (/ 1 a)) rand))))
(sqrt a)
(* a (+ (sqrt (/ 1 a)) (* -1/6 (sqrt (/ 1 (pow a 3))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (* -1/72 (sqrt (/ 1 (pow a 5)))))))
(* a (+ (sqrt (/ 1 a)) (+ (* -1/6 (sqrt (/ 1 (pow a 3)))) (+ (* -1/72 (sqrt (/ 1 (pow a 5)))) (* -1/432 (sqrt (/ 1 (pow a 7))))))))
(* 1/3 a)
(* a (- 1/3 (* 1/9 (/ 1 a))))
a
(* a (- 1 (* 1/3 (/ 1 a))))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(+ 1 (+ (* -1 (/ (+ (* 1/54 (* (sqrt a) rand)) (* 1/6 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1/18 (* (sqrt (/ 1 a)) rand))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/54 (* (sqrt (/ 1 a)) rand)) (+ (* 1/54 (* (sqrt (/ 1 a)) rand)) (* 1/18 (* (sqrt a) rand)))) a)) (* -1/3 (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))) a)))))
(* a (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* 1/3 (/ (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))
(* -1 (* a (- (* -1/3 (* (sqrt (/ 1 a)) rand)) 1)))
(* -1 (* a (- (+ (* -1/3 (* (sqrt (/ 1 a)) rand)) (* 1/3 (/ 1 a))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* 1/18 (* (sqrt (/ 1 a)) rand)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/18 (* (sqrt a) rand)) (* 1/216 (* (sqrt (/ 1 a)) rand))) a)) 1/3) a)) (* -1/3 (* (sqrt (/ 1 a)) rand))) 1)))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 a)) rand)) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/432 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/72 (* (sqrt (/ 1 (pow a 5))) rand)))))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) rand)) (* (sqrt (/ 1 a)) rand)))
(+ (* -1 (/ (+ (* 1/18 (* (sqrt a) rand)) (* 1/2 (* (sqrt (/ 1 a)) (* rand (+ 1/27 (* -1/36 a)))))) (pow a 3))) (+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) rand)) (* (sqrt (/ 1 a)) rand)))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(* -1 (* a (- (* 1/9 (/ 1 a)) 1/3)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(* (sqrt (/ 1 a)) (pow (sqrt -1) 2))
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
1
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(- (* -1/9 (* rand (sqrt -3))) 1/3)
(* 1/3 rand)
(* rand (sqrt (- a 1/3)))
(* rand (sqrt (/ 1 (- a 1/3))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(* 1/3 (* rand (sqrt (- a 1/3))))
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(* -1/9 (* rand (sqrt -3)))
(* rand (- (* -1/9 (sqrt -3)) (* 1/3 (/ 1 rand))))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(* -1 (* rand (+ (* 1/9 (sqrt -3)) (* 1/3 (/ 1 rand)))))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))

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

rewrite205.0ms (2.4%)

Memory

57.6MiB live, 282.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	189
0	70	191
1	246	173
2	2049	173
0	8522	164

Stop Event

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

Counts

20 → 1 028

Calls

Call 1

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

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

eval300.0ms (3.4%)

Memory: -25.2MiB live, 319.0MiB allocated
Compiler: Compiled 36 957 to 3 779 computations (89.8% saved)

prune31.0ms (0.4%)

Memory

-12.1MiB live, 92.8MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1 124	13	1 137
Fresh	7	2	9
Picked	5	0	5
Done	0	0	0
Total	1 136	15	1 151

Accuracy

100.0%

Counts

1 151 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
	86.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (/.f64 rand #s(literal -3 binary64)) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
	99.0%	(fma.f64 #s(approx (/ (- a 1/3) 3) (*.f64 #s(literal 1/3 binary64) a)) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
	99.1%	(fma.f64 #s(literal 1/3 binary64) (.f64 #s(approx (/ rand (sqrt (- a 1/3))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand)) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
	99.8%	(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)) (-.f64 a #s(literal 1/3 binary64)))
	99.8%	(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
▶	63.0%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
	99.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
▶	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
▶	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
	37.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* 1/3 rand) (sqrt (/ 1 a))) 1) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))) a))
	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
▶	73.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
	37.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))

Compiler

Compiled 826 to 560 computations (32.2% saved)

simplify245.0ms (2.8%)

Memory

22.6MiB live, 251.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 1/3 binary64) rand)
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a)
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
cost-diff	2	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
cost-diff	0	#s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
cost-diff	2	(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
cost-diff	0	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) rand)
cost-diff	0	(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
cost-diff	0	#s(approx (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64))
cost-diff	0	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff	0	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff	0	(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
cost-diff	0	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
cost-diff	1	(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	272
0	76	271
1	136	264
2	312	258
3	871	258
4	2128	255
5	3728	255
6	5216	255
7	6442	255
0	8437	244

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (1.8%)

Memory

-10.0MiB live, 138.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64))
accuracy	0.21484375	(/.f64 #s(literal 1 binary64) (sqrt.f64 a))
accuracy	0.359375	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	1.5521604229771773	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
accuracy	0.0	#s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand))
accuracy	0.16330998016428752	(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
accuracy	1.5521604229771773	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)))
accuracy	15.26032641052874	(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
accuracy	0.0078125	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.33041000976844204	(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy	0.359375	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	39.19727880671357	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
accuracy	0.0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.0	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
accuracy	0.05078125	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
accuracy	23.46019759173656	#s(approx (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64))
accuracy	0.053066259768442016	(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.0703125	(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
accuracy	0.20703125	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
accuracy	0.3867042851686411	(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))

Samples

99.0ms	241×	0	valid
5.0ms	7×	2	valid
4.0ms	3×	5	exit
3.0ms	5×	1	valid

Compiler

Compiled 237 to 46 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-add: 30.0ms (32.7% of total)

ival-mult: 22.0ms (24% of total)

ival-div: 13.0ms (14.2% of total)

ival-sub: 12.0ms (13.1% of total)

ival-sqrt: 8.0ms (8.7% of total)

const: 4.0ms (4.4% of total)

adjust: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series25.0ms (0.3%)

Memory

-2.5MiB live, 39.6MiB allocated

Counts

20 → 121

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (/ 1 3) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (sqrt a) 1/3) (/ a rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) a) (/ 1 (sqrt a)))
3.0ms	a	@	inf	((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (/ 1 3) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (sqrt a) 1/3) (/ a rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) a) (/ 1 (sqrt a)))
3.0ms	rand	@	-inf	((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (/ 1 3) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (sqrt a) 1/3) (/ a rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) a) (/ 1 (sqrt a)))
2.0ms	rand	@	0	((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (/ 1 3) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (sqrt a) 1/3) (/ a rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) a) (/ 1 (sqrt a)))
2.0ms	rand	@	inf	((+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (/ rand (sqrt (* (- a 1/3) 9))) (sqrt (* (- a 1/3) 9)) (* (- a 1/3) 9) (/ 1 3) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (sqrt (- a 1/3)) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (+ (* (sqrt a) 1/3) (/ a rand)) (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (/ 1 (sqrt a))) 1) a) (/ 1 (sqrt a)))

simplify230.0ms (2.6%)

Memory

-1.4MiB live, 279.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	532	2851
1	1859	2441
0	8446	2258

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 120

Calls

Call 1

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

Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (-.f64 (.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 (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))) 1/3)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64))) a (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 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 (/.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))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3))))))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -27/8 binary64) rand) a (.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 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 (fma.f64 #s(literal -27/8 binary64) rand (.f64 (.f64 (.f64 #s(literal 405/8 binary64) rand) a) #s(literal -1/6 binary64))) (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)))
(* 3 (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
(fma.f64 (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(+ (* 3 (sqrt -1/3)) (* a (+ (* a (- (* 3/16 (/ a (pow (sqrt -1/3) 5))) (* 3/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 (-.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 -9/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))))))))))
(fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (+ (* 1/2 (/ rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (+ (* 1/18 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* a (+ (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3))) (* 1/18 (/ (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2))))) (sqrt -3)))))))))))))
(fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) rand (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 45/16 binary64) rand (.f64 #s(literal -27/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64)) a (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -27/8 binary64) rand) a (.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -27/8 binary64) rand (.f64 (.f64 (.f64 #s(literal 405/8 binary64) rand) a) #s(literal -1/6 binary64))) (sqrt.f64 #s(literal -3 binary64))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal -3/2 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(* 1/3 (* rand (sqrt -1/3)))
(.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) a) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64))) a (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3/8 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64)))
(* 1/3 (* (sqrt a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(+ (* 1/3 (sqrt a)) (/ a rand))
(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
(* 1/3 (* (sqrt (/ 1 a)) rand))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #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 (/ 1 a))
(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(.f64 (-.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (fma.f64 (*.f64 #s(literal -1/18 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) a)) a)
(+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))
(.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 (.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))
(+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 (.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/6 binary64)) (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand) (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))))
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) a)
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))) a)
(* 9 a)
(*.f64 #s(literal 9 binary64) a)
(* a (- 9 (* 3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) a)) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) rand (/.f64 (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)) a)) a a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)) a)) a a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)) a))) a a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 (.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 rand (fma.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1/18 binary64))) (+.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64)) rand)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand))) #s(literal 1 binary64)))
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) a)
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64)) rand (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a)
(* a (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* -1/1296 (* (sqrt (/ 1 (pow a 7))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (.f64 #s(literal -1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a)
(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)))))))
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(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 1/3 binary64) rand) #s(literal 1 binary64))
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (neg.f64 rand) (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 rand))))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(.f64 (neg.f64 rand) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 a) #s(literal -1/3 binary64) (/.f64 (neg.f64 a) rand)))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 a))) (/ 1 rand))))
(.f64 (neg.f64 rand) (-.f64 (.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (/.f64 #s(literal 1 binary64) rand)))

rewrite293.0ms (3.4%)

Memory

-0.5MiB live, 328.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	239
0	76	236
1	252	220
2	1815	220
0	8128	209

Stop Event

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

Counts

20 → 542

Calls

Call 1

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

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

eval110.0ms (1.3%)

Memory: 4.4MiB live, 194.3MiB allocated
Compiler: Compiled 25 258 to 2 628 computations (89.6% saved)

prune57.0ms (0.7%)

Memory

6.3MiB live, 51.7MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	654	11	665
Fresh	6	4	10
Picked	3	2	5
Done	0	0	0
Total	663	17	680

Accuracy

100.0%

Counts

680 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
	86.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (/.f64 rand #s(literal -3 binary64)) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
▶	99.8%	(fma.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))
	99.8%	(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
	63.0%	(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
▶	1.5%	(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
	99.7%	#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
▶	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
✓	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	37.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
✓	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
	37.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* 1/3 rand) (/ 1 (sqrt a))) 1) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))) a))
	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
▶	73.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))) rand)))
	37.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (/.f64 a rand)) rand)))
▶	37.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))

Compiler

Compiled 955 to 653 computations (31.6% saved)

simplify205.0ms (2.4%)

Memory

-29.3MiB live, 171.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))) rand))
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))) rand)))
cost-diff	1	(-.f64 (/.f64 a rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
cost-diff	2	(.f64 (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))) rand)
cost-diff	0	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
cost-diff	0	(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
cost-diff	0	(.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)
cost-diff	0	#s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand))
cost-diff	0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
cost-diff	0	#s(approx (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
cost-diff	0	(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))
cost-diff	0	(-.f64 a #s(literal 1/3 binary64))
cost-diff	0	(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))
cost-diff	1	(fma.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	336
0	76	336
1	135	331
2	282	325
3	769	325
4	1814	319
5	3146	319
6	4543	319
7	5636	319
8	7253	319
0	8981	304

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (2%)

Memory

7.0MiB live, 240.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.016288769536884032	(-.f64 (/.f64 a rand) (*.f64 #s(literal -1/3 binary64) (sqrt.f64 a)))
accuracy	0.37890625	(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
accuracy	1.5521604229771773	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))) rand)))
accuracy	15.26032641052874	(.f64 (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))) rand)
accuracy	0.0078125	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.1953125	(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
accuracy	0.3515625	(.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64))
accuracy	39.19727880671357	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
accuracy	0.37890625	(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
accuracy	1.5521604229771773	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
accuracy	15.26032641052874	(.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)
accuracy	39.22109972206714	#s(approx (+ (* (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
accuracy	0.05078125	(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
accuracy	23.46019759173656	#s(approx (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64))
accuracy	62.569259856029625	#s(approx (- a (/ 1 3)) #s(literal -1/3 binary64))
accuracy	0.05594503162065376	(fma.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.0703125	(*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.29296875	(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))
accuracy	0.3867042851686411	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))

Samples

82.0ms	241×	0	valid
35.0ms	7×	2	valid
4.0ms	3×	5	exit
3.0ms	5×	1	valid

Compiler

Compiled 246 to 47 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 58.0ms (57.9% of total)

ival-div: 14.0ms (14% of total)

const: 8.0ms (8% of total)

ival-sqrt: 8.0ms (8% of total)

ival-add: 6.0ms (6% of total)

ival-sub: 4.0ms (4% of total)

adjust: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series62.0ms (0.7%)

Memory

-0.2MiB live, 51.3MiB allocated

Counts

22 → 136

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	a	@	0	((+ (* rand (/ (- a 1/3) (sqrt (* 9 (- a 1/3))))) (- a 1/3)) (/ (- a 1/3) (sqrt (* 9 (- a 1/3)))) (- a 1/3) (sqrt (* 9 (- a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- (/ a rand) (* -1/3 (sqrt a))) rand) (- (/ a rand) (* -1/3 (sqrt a))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* 9 (- a 1/3)) (* (sqrt a) 1/3) (* -1/3 (sqrt a)))
5.0ms	a	@	-inf	((+ (* rand (/ (- a 1/3) (sqrt (* 9 (- a 1/3))))) (- a 1/3)) (/ (- a 1/3) (sqrt (* 9 (- a 1/3)))) (- a 1/3) (sqrt (* 9 (- a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- (/ a rand) (* -1/3 (sqrt a))) rand) (- (/ a rand) (* -1/3 (sqrt a))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* 9 (- a 1/3)) (* (sqrt a) 1/3) (* -1/3 (sqrt a)))
3.0ms	a	@	inf	((+ (* rand (/ (- a 1/3) (sqrt (* 9 (- a 1/3))))) (- a 1/3)) (/ (- a 1/3) (sqrt (* 9 (- a 1/3)))) (- a 1/3) (sqrt (* 9 (- a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- (/ a rand) (* -1/3 (sqrt a))) rand) (- (/ a rand) (* -1/3 (sqrt a))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* 9 (- a 1/3)) (* (sqrt a) 1/3) (* -1/3 (sqrt a)))
2.0ms	rand	@	-inf	((+ (* rand (/ (- a 1/3) (sqrt (* 9 (- a 1/3))))) (- a 1/3)) (/ (- a 1/3) (sqrt (* 9 (- a 1/3)))) (- a 1/3) (sqrt (* 9 (- a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- (/ a rand) (* -1/3 (sqrt a))) rand) (- (/ a rand) (* -1/3 (sqrt a))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* 9 (- a 1/3)) (* (sqrt a) 1/3) (* -1/3 (sqrt a)))
2.0ms	rand	@	inf	((+ (* rand (/ (- a 1/3) (sqrt (* 9 (- a 1/3))))) (- a 1/3)) (/ (- a 1/3) (sqrt (* 9 (- a 1/3)))) (- a 1/3) (sqrt (* 9 (- a 1/3))) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* (+ (* (sqrt a) 1/3) (/ a rand)) rand) (+ (* (sqrt a) 1/3) (/ a rand)) (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (* (* (sqrt (- a 1/3)) rand) 1/3) (* (sqrt (- a 1/3)) rand) (sqrt (- a 1/3)) (* (- (/ a rand) (* -1/3 (sqrt a))) rand) (- (/ a rand) (* -1/3 (sqrt a))) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (* 9 (- a 1/3)) (* (sqrt a) 1/3) (* -1/3 (sqrt a)))

simplify286.0ms (3.3%)

Memory

-14.5MiB live, 263.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	612	3114
1	2180	2685
0	8984	2484

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 135

Calls

Call 1

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

Outputs
(- (* 1/3 (* rand (sqrt -1/3))) 1/3)
(-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (* 1/6 (/ rand (sqrt -1/3)))))) 1/3)
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64) #s(literal 1 binary64)) a (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(- (+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ 1 (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))) 1/3)
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(* 1/3 (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)))
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(fma.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 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))))))
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-1/3
#s(literal -1/3 binary64)
(- a 1/3)
(-.f64 a #s(literal 1/3 binary64))
(* 3 (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64))
(+ (* 3/2 (/ a (sqrt -1/3))) (* 3 (sqrt -1/3)))
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(+ (* 3 (sqrt -1/3)) (* a (+ (* -3/8 (/ a (pow (sqrt -1/3) 3))) (* 3/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
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(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 3/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 3/8 binary64) (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))) a (/.f64 #s(literal 3/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3)))))
(fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64))
(+ (* -1/3 (+ 1 (* 1/3 (* rand (sqrt -3))))) (* a (+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* 1/2 (/ rand (sqrt -3)))))))
(fma.f64 (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
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(fma.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))) a (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
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(fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 45/16 binary64) rand (.f64 #s(literal -27/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (/.f64 (fma.f64 #s(literal 9/8 binary64) rand (.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64)))) a (fma.f64 (/.f64 rand (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64)))) #s(literal 1 binary64)) a (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
(+ 1 (* 1/3 (* rand (sqrt -3))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -3/2 (/ (* a rand) (sqrt -3))) (* 1/3 (* rand (sqrt -3)))))
(fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -3 binary64)))) #s(literal -3/2 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* -1/6 (/ (* a (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))))) (sqrt -3)))))))
(fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -27/8 binary64) rand) a (.f64 #s(literal -3/2 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(+ 1 (+ (* 1/3 (* rand (sqrt -3))) (* a (+ (* -3/2 (/ rand (sqrt -3))) (* a (+ (* -1/6 (/ (* a (* rand (+ 81 (* 9/2 (/ (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2)))) (pow (sqrt -3) 2)))))) (sqrt -3))) (* -1/6 (/ (* rand (+ 27 (* 81/4 (/ 1 (pow (sqrt -3) 2))))) (sqrt -3)))))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 #s(literal 405/8 binary64) rand) a) (.f64 #s(literal -27/8 binary64) rand)) (sqrt.f64 #s(literal -3 binary64))) a (.f64 #s(literal -3/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -3 binary64))))) a (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(* 1/3 (* (sqrt a) rand))
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))
(+ a (* 1/3 (* (sqrt a) rand)))
(fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)
(* 1/3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(+ (* 1/3 (sqrt a)) (/ a rand))
(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
(* 1/3 (* rand (sqrt -1/3)))
(.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64))
(+ (* 1/6 (/ (* a rand) (sqrt -1/3))) (* 1/3 (* rand (sqrt -1/3))))
(fma.f64 (.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) #s(literal 1/6 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* -1/24 (/ (* a rand) (pow (sqrt -1/3) 3))) (* 1/6 (/ rand (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (.f64 (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(+ (* 1/3 (* rand (sqrt -1/3))) (* a (+ (* 1/6 (/ rand (sqrt -1/3))) (* a (+ (* -1/24 (/ rand (pow (sqrt -1/3) 3))) (* 1/48 (/ (* a rand) (pow (sqrt -1/3) 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/48 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (.f64 (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))) #s(literal 1/6 binary64))) a (.f64 (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand) #s(literal 1/3 binary64)))
(* rand (sqrt -1/3))
(*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand)
(+ (* 1/2 (/ (* a rand) (sqrt -1/3))) (* rand (sqrt -1/3)))
(fma.f64 (.f64 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 #s(literal 3/8 binary64) (.f64 a (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (*.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(+ (* a (+ (* 1/2 (/ rand (sqrt -1/3))) (* a (+ (* -1/8 (/ rand (pow (sqrt -1/3) 3))) (* 1/16 (/ (* a rand) (pow (sqrt -1/3) 5))))))) (* rand (sqrt -1/3)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) a) (/.f64 rand (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64))) (.f64 #s(literal 3/8 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (.f64 #s(literal 1/2 binary64) (/.f64 rand (sqrt.f64 #s(literal -1/3 binary64))))) a (.f64 (sqrt.f64 #s(literal -1/3 binary64)) rand))
(sqrt -1/3)
(sqrt.f64 #s(literal -1/3 binary64))
(+ (sqrt -1/3) (* 1/2 (/ a (sqrt -1/3))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* -1/8 (/ a (pow (sqrt -1/3) 3))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (sqrt.f64 #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64)))
(+ (sqrt -1/3) (* a (+ (* a (- (* 1/16 (/ a (pow (sqrt -1/3) 5))) (* 1/8 (/ 1 (pow (sqrt -1/3) 3))))) (* 1/2 (/ 1 (sqrt -1/3))))))
(fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 a (pow.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal -1/3 binary64)) #s(literal -1/3 binary64)))) a (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1/3 binary64)))) a (sqrt.f64 #s(literal -1/3 binary64)))
(- (/ a rand) (* -1/3 (sqrt a)))
(fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand))
-3
#s(literal -3 binary64)
(- (* 9 a) 3)
(-.f64 (*.f64 #s(literal 9 binary64) a) #s(literal 3 binary64))
(* -1/3 (sqrt a))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(* a (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))))
(.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (- (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) (* 1/3 (/ 1 a))))
(.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))) (* 1/3 (/ 1 a))))
(.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a))) a)
(* a (- (+ 1 (+ (* -1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))) (* 1/3 (/ 1 a))))
(.f64 (-.f64 (fma.f64 rand (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64))) (fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) (/.f64 #s(literal 1/3 binary64) a)) a)
(* a (+ (* -1/18 (sqrt (/ 1 (pow a 3)))) (* 1/3 (sqrt (/ 1 a)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))) 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)))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/18 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) #s(literal -1/1296 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))) a)
a
(* a (- 1 (* 1/3 (/ 1 a))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)
(* 3 (sqrt a))
(*.f64 (sqrt.f64 a) #s(literal 3 binary64))
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (* 3 (sqrt (/ 1 a)))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) a)
(* a (+ (* -1/2 (sqrt (/ 1 (pow a 3)))) (+ (* -1/24 (sqrt (/ 1 (pow a 5)))) (* 3 (sqrt (/ 1 a))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 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 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal -1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/24 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))))) a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)) a)) a a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
(fma.f64 (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)) a)) a a)
(* a (+ 1 (+ (* -1/3 (/ (+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand))) a)) (+ (* -1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) rand) #s(literal 0 binary64) (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) rand) #s(literal -1/3 binary64)) a))) a a)
(+ 1 (* 1/3 (* (sqrt (/ 1 a)) rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
(+ 1 (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand))))
(fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (* 1/3 (* (sqrt (/ 1 a)) rand)))))
(fma.f64 (.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (fma.f64 rand (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* 1/54 (* (sqrt (/ 1 (pow a 5))) rand)) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) rand)) (+ (* 1/6 (* (sqrt (/ 1 (pow a 7))) (* rand (- 1/27 (* 1/36 a))))) (* 1/3 (* (sqrt (/ 1 a)) rand))))))
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(* a (* rand (+ (* 1/3 (sqrt (/ 1 a))) (/ 1 rand))))
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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)))))))
(.f64 (neg.f64 a) (.f64 (neg.f64 rand) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)))))
(* -1 (* a (+ (* -1/216 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/18 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* 1/3 (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(.f64 (neg.f64 a) (fma.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))))) (.f64 (.f64 #s(literal -1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 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)))))))))
(.f64 (neg.f64 a) (fma.f64 (neg.f64 rand) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/216 binary64) (.f64 #s(literal 1/1296 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (.f64 (neg.f64 rand) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64))))))
(* -1 (* (sqrt a) (* rand (pow (sqrt -1) 2))))
(.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1 binary64))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))
(.f64 (neg.f64 a) (.f64 (neg.f64 rand) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))))) rand (*.f64 (neg.f64 rand) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* rand (pow (sqrt -1) 2)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* rand (pow (sqrt -1) 2)))) (* (sqrt (/ 1 a)) (* rand (pow (sqrt -1) 2))))))))
(.f64 (neg.f64 a) (fma.f64 (neg.f64 rand) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (*.f64 (neg.f64 rand) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 1 binary64))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (pow (sqrt -1) 2))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (pow (sqrt -1) 2))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 a)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal -1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))))
(* a (* rand (+ (* -1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand))))
(.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
(* a (+ (* -1/3 (* (sqrt (/ 1 a)) (pow (sqrt -1) 2))) (/ 1 rand)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) rand)) a)
(* -1 (* a (- (* 3 (/ 1 a)) 9)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 3 binary64) a) #s(literal 9 binary64)))
(* -1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
(* 1/3 (* (sqrt a) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 a))
(- (+ a (* 1/3 (* rand (sqrt (- a 1/3))))) 1/3)
(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 1/3 (* rand (sqrt (/ 1 (- a 1/3))))))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(/ a rand)
(/.f64 a rand)
(/ (+ a (* 1/3 (* (sqrt a) rand))) rand)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a) 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 (sqrt (- a 1/3)))
(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)
(* rand (- (+ (* 1/3 (sqrt (- a 1/3))) (/ a rand)) (* 1/3 (/ 1 rand))))
(*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
(* 1/3 (* rand (sqrt (/ 1 (- a 1/3)))))
(.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))))
(* rand (+ (* 1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand)))
(fma.f64 (*.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(* rand (+ (* 1/3 (sqrt a)) (/ a rand)))
(*.f64 (fma.f64 (sqrt.f64 a) #s(literal 1/3 binary64) (/.f64 a rand)) rand)
(* -1 (* rand (+ (* -1 (/ (- a 1/3) rand)) (* -1/3 (sqrt (- a 1/3))))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (neg.f64 rand))) (neg.f64 rand))
(* -1 (* rand (- (* -1/3 (sqrt (/ 1 (- a 1/3)))) (/ 1 rand))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 a #s(literal 1/3 binary64)))) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) rand)) (neg.f64 rand))
(* -1 (* rand (+ (* -1 (/ a rand)) (* -1/3 (sqrt a)))))
(*.f64 (fma.f64 #s(literal -1/3 binary64) (sqrt.f64 a) (/.f64 a (neg.f64 rand))) (neg.f64 rand))

rewrite731.0ms (8.4%)

Memory

-4.8MiB live, 190.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	311
0	76	311
1	244	292
2	1869	292
0	8157	274

Stop Event

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

Counts

22 → 390

Calls

Call 1

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

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

eval393.0ms (4.5%)

Memory: 9.5MiB live, 156.0MiB allocated
Compiler: Compiled 26 175 to 2 681 computations (89.8% saved)

prune57.0ms (0.7%)

Memory

-2.5MiB live, 87.3MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	663	2	665
Fresh	1	9	10
Picked	1	4	5
Done	0	2	2
Total	665	17	682

Accuracy

100.0%

Counts

682 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
	86.4%	(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (*.f64 (/.f64 rand #s(literal -3 binary64)) (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64)))
	37.3%	(fma.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	99.8%	(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
	63.0%	(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
✓	1.5%	(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
	99.7%	#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
✓	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
	37.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand) #s(literal 1/3 binary64)))
✓	37.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3)))))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64) #s(literal 1 binary64)) a))
✓	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (/.f64 #s(literal 1 binary64) (sqrt.f64 a)) #s(literal 1 binary64)) a))
	37.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (* 1/3 rand) (/ 1 (sqrt a))) 1) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1/3 binary64) rand))) a))
	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
✓	73.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (-.f64 (/.f64 a rand) (.f64 #s(literal -1/3 binary64) (sqrt.f64 a))) rand)))
	37.4%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (/.f64 a rand)) rand)))
✓	37.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))

Compiler

Compiled 1 621 to 552 computations (65.9% saved)

regimes121.0ms (1.4%)

Memory

-6.8MiB live, 51.8MiB allocated

Counts

41 → 1

Calls

Call 1

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

Calls

4 calls:

88.0ms	(.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)))
10.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
10.0ms	rand
10.0ms	a

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes58.0ms (0.7%)

Memory

16.6MiB live, 63.0MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

4 calls:

28.0ms	(.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)))
9.0ms	rand
9.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
9.0ms	a

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes41.0ms (0.5%)

Memory

-5.1MiB live, 81.2MiB allocated

Counts

32 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	rand
10.0ms	(-.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
99.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
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	`a`
99.8%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes36.0ms (0.4%)

Memory

-0.2MiB live, 55.0MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	a
8.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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)))
8.0ms	rand

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes30.0ms (0.3%)

Memory

17.7MiB live, 64.6MiB allocated

Counts

25 → 1

Calls

Call 1

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

Calls

4 calls:

8.0ms	a
7.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
7.0ms	rand

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes21.0ms (0.2%)

Memory

-9.0MiB live, 37.0MiB allocated

Counts

16 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
99.7%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
99.7%	1	`a`
99.7%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes31.0ms (0.4%)

Memory

-19.7MiB live, 27.2MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(.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	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
4.0ms	rand
4.0ms	a

Results

Accuracy	Segments	Branch
97.1%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
97.1%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
97.1%	1	`a`
97.1%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes12.0ms (0.1%)

Memory

21.1MiB live, 21.1MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
63.0%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
84.8%	3	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
63.0%	1	`a`
93.5%	3	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes3.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

rand

Results

Accuracy	Segments	Branch
93.5%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes42.0ms (0.5%)

Memory

-16.3MiB live, 37.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	a
2.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms	rand

Results

Accuracy	Segments	Branch
63.0%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
63.0%	1	`a`
63.0%	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)))`
63.0%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes5.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 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
1.5%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
1.5%	1	`rand`
1.5%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
1.5%	1	`a`

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch49.0ms (0.6%)

Memory

-22.1MiB live, 105.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.7132820445415545e+76	2.3327124238799988e+83
16.0ms	-8.70905676878367e+84	-5.252790523543314e+82

Samples

22.0ms

256×

valid

Compiler

Compiled 1 032 to 783 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sqrt: 5.0ms (31.1% of total)

ival-div: 4.0ms (24.9% of total)

ival-mult: 4.0ms (24.9% of total)

ival-sub: 1.0ms (6.2% of total)

ival-add: 1.0ms (6.2% 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

9.2MiB live, 9.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.7132820445415545e+76	2.3327124238799988e+83
1.0ms	-8.70905676878367e+84	-5.252790523543314e+82

Compiler

Compiled 1 095 to 818 computations (25.3% saved)

simplify112.0ms (1.3%)

Memory

-6.7MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	365
1	129	355
2	235	347
3	553	347
4	1290	347
5	1904	347
6	2393	347
7	3091	347
8	3472	347
9	3638	347
10	3850	347
11	4129	347
12	6248	347

Stop Event

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 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
(if (<=.f64 rand #s(literal -2999999999999999957620256357142571749975680685131147022196970209379557153221891850240 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 46999999999999998617118771804549896225165261746531152050762015345864462571046699008 binary64)) (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))))
(if (<=.f64 rand #s(literal -2999999999999999957620256357142571749975680685131147022196970209379557153221891850240 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand))) (if (<=.f64 rand #s(literal 46999999999999998617118771804549896225165261746531152050762015345864462571046699008 binary64)) (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))

Outputs
(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))
(.f64 (-.f64 a (pow.f64 #s(literal 3 binary64) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 rand #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))))
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 rand (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64))))) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) #s(approx (* (/ rand (sqrt (- a 1/3))) (- a 1/3)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
(if (<=.f64 rand #s(literal -2999999999999999957620256357142571749975680685131147022196970209379557153221891850240 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 46999999999999998617118771804549896225165261746531152050762015345864462571046699008 binary64)) (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))))
(if (<=.f64 rand #s(literal -2999999999999999957620256357142571749975680685131147022196970209379557153221891850240 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand))) (if (<=.f64 rand #s(literal 46999999999999998617118771804549896225165261746531152050762015345864462571046699008 binary64)) (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))))
(if (or (<=.f64 rand #s(literal -2999999999999999957620256357142571749975680685131147022196970209379557153221891850240 binary64)) (not (<=.f64 rand #s(literal 46999999999999998617118771804549896225165261746531152050762015345864462571046699008 binary64)))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 #s(approx (+ ( (sqrt a) 1/3) (/ a rand)) (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand))) (.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 (* (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64))))
(.f64 (-.f64 a #s(literal 1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))
(.f64 #s(approx (- a (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (+ 1 ( (/ rand -3) (/ -1 (sqrt (- a 1/3))))) #s(literal 1 binary64)))

soundness1.1s (13.2%)

Memory

33.1MiB live, 1 017.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	339	1584
1	1141	1337
2	5043	1320
0	8009	1225
0	532	2851
1	1859	2441
0	8446	2258
0	500	2680
1	1748	2313
2	7922	2304
0	8245	2121
0	51	239
0	76	236
1	252	220
2	1815	220
0	8128	209
0	13	49
0	22	49
1	76	43
2	504	43
3	7155	43
0	8164	42

Stop Event

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

Compiler

Compiled 1 092 to 472 computations (56.8% saved)

preprocess55.0ms (0.6%)

Memory: 14.8MiB live, 105.3MiB allocated
Compiler: Compiled 814 to 212 computations (74% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze23.0ms (0.3%)

sample1.8s (21.1%)

explain272.0ms (3.1%)

preprocess157.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify55.0ms (0.6%)

localize38.0ms (0.4%)

series20.0ms (0.2%)

simplify180.0ms (2.1%)

rewrite204.0ms (2.3%)

eval57.0ms (0.7%)

prune17.0ms (0.2%)

simplify155.0ms (1.8%)

localize132.0ms (1.5%)

series45.0ms (0.5%)

simplify201.0ms (2.3%)

rewrite205.0ms (2.4%)

eval300.0ms (3.4%)

prune31.0ms (0.4%)

simplify245.0ms (2.8%)

localize154.0ms (1.8%)

series25.0ms (0.3%)

simplify230.0ms (2.6%)

rewrite293.0ms (3.4%)

eval110.0ms (1.3%)

prune57.0ms (0.7%)

simplify205.0ms (2.4%)

localize171.0ms (2%)

series62.0ms (0.7%)

simplify286.0ms (3.3%)

rewrite731.0ms (8.4%)

eval393.0ms (4.5%)

prune57.0ms (0.7%)

regimes121.0ms (1.4%)

regimes58.0ms (0.7%)

regimes41.0ms (0.5%)

regimes36.0ms (0.4%)

regimes30.0ms (0.3%)

regimes21.0ms (0.2%)

regimes31.0ms (0.4%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes42.0ms (0.5%)

regimes5.0ms (0.1%)

bsearch49.0ms (0.6%)

bsearch3.0ms (0%)

simplify112.0ms (1.3%)

soundness1.1s (13.2%)

preprocess55.0ms (0.6%)

end0.0ms (0%)

Profiling