Metrics for Octave 3.8, oct_fill

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze17.0ms (0.2%)

Memory

-8.4MiB live, 29.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.4s (17.5%)

Memory

34.0MiB live, 1 534.0MiB allocated

Samples

988.0ms	8 256×	0	valid
97.0ms	511×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 790.0ms

ival-div: 245.0ms (31% of total)

ival-sub: 168.0ms (21.3% of total)

ival-mult: 166.0ms (21% of total)

ival-sqrt: 120.0ms (15.2% of total)

ival-add: 69.0ms (8.7% of total)

exact: 12.0ms (1.5% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain258.0ms (3.1%)

Memory

-10.5MiB live, 192.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(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	2	0
↳	`(*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))`	overflow	2

Confusion

	Predicted +	Predicted -
+	0	0
-	2	254

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	2	0	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

53.0ms	488×	0	valid
4.0ms	16×	2	valid
1.0ms	6×	1	valid
1.0ms	2×	5	exit

Compiler

Compiled 192 to 43 computations (77.6% saved)

Precisions

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

ival-sqrt: 16.0ms (39.6% of total)

ival-mult: 9.0ms (22.3% of total)

ival-div: 8.0ms (19.8% of total)

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

ival-add: 2.0ms (4.9% 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)

preprocess156.0ms (1.9%)

Memory

11.7MiB live, 49.8MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify46.0ms (0.6%)

Memory

-22.3MiB live, 14.2MiB 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

localize42.0ms (0.5%)

Memory

3.8MiB live, 41.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
accuracy	0.2265625	(.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	0.2578125	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
accuracy	0.5976432288452642	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))

Samples

31.0ms	244×	0	valid
2.0ms	8×	2	valid
1.0ms	3×	1	valid
0.0ms	1×	5	exit

Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sub: 11.0ms (44.7% of total)

ival-div: 5.0ms (20.3% of total)

ival-mult: 5.0ms (20.3% of total)

ival-sqrt: 2.0ms (8.1% of total)

ival-add: 1.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

6 → 58

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))))))

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))))))
(* 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))))))
(* (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)))))
(* 1/3 (* 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
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))))))
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))))))
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))))))
2.0ms	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))))))
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))))))

simplify192.0ms (2.3%)

Memory

11.4MiB live, 121.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	1560
1	1121	1313
2	4995	1294
0	8302	1197

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

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))))))
(* 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))))))
(* (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)))))
(* 1/3 (* 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)))
(* 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)))))
(* (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) (fma.f64 (*.f64 (neg.f64 rand) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (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 a (+.f64 (/.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) (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 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(.f64 a (+.f64 (/.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) (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 (- (* 1/3 (/ 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 (neg.f64 (sqrt.f64 #s(literal -9 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 a)))
(* -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 -1/6 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 3 binary64)))) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (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 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) (fma.f64 #s(literal -1/36 binary64) a #s(literal 1/27 binary64))) #s(literal 1/2 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))))
(* 1/3 (* 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))))

rewrite229.0ms (2.8%)

Memory

-16.0MiB live, 185.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
0	22	44
1	76	38
2	504	38
3	7155	38
0	8164	37

Stop Event

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

Counts

6 → 301

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))))))

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

eval64.0ms (0.8%)

Memory: 7.8MiB live, 132.6MiB allocated
Compiler: Compiled 13 044 to 1 687 computations (87.1% saved)

prune10.0ms (0.1%)

Memory

-0.3MiB live, 39.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	387	8	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	388	8	396

Accuracy

100.0%

Counts

396 → 8

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)))
▶	99.8%	(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (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)))
▶	99.8%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
▶	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)))
	98.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
▶	77.3%	#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))
	43.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))

Compiler

Compiled 396 to 250 computations (36.9% saved)

simplify102.0ms (1.2%)

Memory

4.6MiB live, 126.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	239
0	58	235
1	114	229
2	247	227
3	674	227
4	1527	227
5	2516	227
6	4076	227
7	5924	227
0	8409	221

Stop Event

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

Calls

Call 1

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

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

localize124.0ms (1.5%)

Memory

6.1MiB live, 161.8MiB allocated

Localize:

Found 20 expressions of interest:

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

Samples

104.0ms

256×

invalid

Compiler

Compiled 225 to 40 computations (82.2% saved)

Precisions

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

const: 32.0ms (37.2% of total)

ival-mult: 16.0ms (18.6% of total)

ival-sub: 13.0ms (15.1% of total)

ival-add: 10.0ms (11.6% of total)

ival-div: 9.0ms (10.5% of total)

ival-sqrt: 5.0ms (5.8% of total)

exact: 1.0ms (1.2% of total)

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

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

series33.0ms (0.4%)

Memory

-33.6MiB live, 54.1MiB allocated

Counts

18 → 109

Calls

Call 1

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

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

Calls

6 calls:

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

simplify123.0ms (1.5%)

Memory

27.2MiB live, 135.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	537	2488
1	1815	2187
0	8011	2019

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 108

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

rewrite313.0ms (3.8%)

Memory

11.1MiB live, 320.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	196
0	58	196
1	219	188
2	1777	188
0	8096	183

Stop Event

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

Counts

18 → 1 380

Calls

Call 1

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

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

eval471.0ms (5.7%)

Memory: -105.8MiB live, 296.6MiB allocated
Compiler: Compiled 51 563 to 4 217 computations (91.8% saved)

prune30.0ms (0.4%)

Memory

-2.2MiB live, 86.0MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1 420	10	1 430
Fresh	2	1	3
Picked	5	0	5
Done	0	0	0
Total	1 427	11	1 438

Accuracy

100.0%

Counts

1 438 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(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)))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	42.9%	(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶	99.2%	(fma.f64 #s(approx (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.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)))
	98.6%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
▶	43.3%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (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 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))))
	99.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))
▶	76.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
▶	35.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
	43.3%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))

Compiler

Compiled 614 to 396 computations (35.5% saved)

simplify143.0ms (1.7%)

Memory

-21.0MiB live, 132.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	301
0	67	301
1	122	297
2	244	294
3	601	294
4	1285	292
5	2321	292
6	4121	292
7	6362	292
0	8888	287

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1%)

Memory

29.3MiB live, 141.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
accuracy	0.1796875	(fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
accuracy	0.7755965800265424	#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
accuracy	14.47927204967999	(*.f64 (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
accuracy	0.0	(sqrt.f64 a)
accuracy	0.0703125	(fma.f64 #s(approx (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.37109375	(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
accuracy	0.7729415219740751	#s(approx (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
accuracy	0.00390625	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.296875	(.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy	0.3515625	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	36.133217677063904	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
accuracy	0.015625	(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
accuracy	14.47927204967999	(.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
accuracy	26.891539868569172	#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
accuracy	0.00390625	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.0859375	(*.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)))
accuracy	0.1640625	(fma.f64 (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1/3 binary64) #s(literal 1 binary64))
accuracy	0.23046875	(/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))

Samples

66.0ms

256×

valid

Compiler

Compiled 238 to 37 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 18.0ms (39.3% of total)

ival-div: 9.0ms (19.7% of total)

ival-add: 7.0ms (15.3% of total)

ival-sqrt: 5.0ms (10.9% of total)

const: 4.0ms (8.7% of total)

ival-sub: 2.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

-17.0MiB live, 25.5MiB allocated

Counts

19 → 129

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	((* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (+ (* (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) rand) (- a 1/3)) (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (* (sqrt a) 1/3) (sqrt a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt (- a 1/3)))
4.0ms	a	@	-inf	((* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (+ (* (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) rand) (- a 1/3)) (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (* (sqrt a) 1/3) (sqrt a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt (- a 1/3)))
2.0ms	rand	@	-inf	((* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (+ (* (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) rand) (- a 1/3)) (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (* (sqrt a) 1/3) (sqrt a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt (- a 1/3)))
2.0ms	rand	@	0	((* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (+ (* (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) rand) (- a 1/3)) (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (* (sqrt a) 1/3) (sqrt a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt (- a 1/3)))
2.0ms	rand	@	inf	((* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (/ rand (sqrt (- a 1/3))) (sqrt (- a 1/3)) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/ (- a 1/3) rand) (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (* (* 1/3 rand) (sqrt (- a 1/3))) (* 1/3 rand) (+ (* (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) rand) (- a 1/3)) (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (* (sqrt a) 1/3) (sqrt a) (* (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) rand) (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (sqrt (- a 1/3)))

simplify168.0ms (2%)

Memory

25.3MiB live, 215.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	606	3213
1	2128	2775
0	8876	2564

Stop Event

1×	iter limit
1×	node limit

Counts

129 → 129

Calls

Call 1

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

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

rewrite208.0ms (2.5%)

Memory

-8.8MiB live, 334.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	259
0	67	259
1	225	250
2	1721	250
0	8164	247

Stop Event

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

Counts

19 → 711

Calls

Call 1

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

eval134.0ms (1.6%)

Memory: 44.4MiB live, 228.5MiB allocated
Compiler: Compiled 36 589 to 3 129 computations (91.4% saved)

prune68.0ms (0.8%)

Memory

-41.4MiB live, 109.1MiB allocated

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	904	8	912
Fresh	2	4	6
Picked	2	3	5
Done	0	0	0
Total	908	15	923

Accuracy

100.0%

Counts

923 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(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)))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	42.9%	(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
✓	99.2%	(fma.f64 #s(approx (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
▶	99.2%	(-.f64 a (-.f64 #s(literal 1/3 binary64) (.f64 #s(approx (/ ( 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
✓	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)))
	98.6%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
	43.3%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
▶	43.3%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand))
✓	43.3%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	42.7%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
▶	99.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))
	76.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
▶	34.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))) rand))
▶	57.8%	#s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64)))

Compiler

Compiled 756 to 472 computations (37.6% saved)

simplify119.0ms (1.4%)

Memory

2.3MiB live, 122.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	317
0	65	317
1	122	313
2	249	311
3	633	311
4	1281	311
5	2090	311
6	3184	311
7	4903	311
0	8215	299

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.5%)

Memory

-25.5MiB live, 133.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))
accuracy	0.11328125	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.3515625	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	0.7755965800265424	#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
accuracy	0.00390625	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.234375	(.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand)
accuracy	0.37890625	(*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))
accuracy	36.133217677063904	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand))
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
accuracy	0.8095082378872563	#s(approx (/ (- a 1/3) rand) (/.f64 a rand))
accuracy	14.47927204967999	(.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand)
accuracy	26.891539868569172	#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand)))
accuracy	0.0	(-.f64 a #s(literal 1/3 binary64))
accuracy	27.005246745911272	#s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.02734375	(-.f64 #s(literal 1/3 binary64) (.f64 #s(approx (/ ( 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand))
accuracy	0.234375	(.f64 #s(approx (/ ( 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)
accuracy	0.37109375	(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
accuracy	0.7729415219740751	#s(approx (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))

Samples

70.0ms

256×

valid

Compiler

Compiled 225 to 41 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 21.0ms (39.2% of total)

ival-div: 11.0ms (20.5% of total)

ival-sub: 7.0ms (13.1% of total)

ival-add: 5.0ms (9.3% of total)

ival-sqrt: 5.0ms (9.3% of total)

const: 4.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

32.0MiB live, 32.0MiB allocated

Counts

19 → 131

Calls

Call 1

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

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

Calls

6 calls:

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

simplify174.0ms (2.1%)

Memory

16.1MiB live, 206.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	607	3053
1	2105	2746
0	8838	2555

Stop Event

1×	iter limit
1×	node limit

Counts

131 → 130

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

rewrite293.0ms (3.5%)

Memory

-2.1MiB live, 196.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	291
0	65	291
1	237	285
2	1882	285
0	8396	277

Stop Event

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

Counts

19 → 166

Calls

Call 1

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

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

eval333.0ms (4%)

Memory: -25.4MiB live, 67.6MiB allocated
Compiler: Compiled 15 340 to 1 512 computations (90.1% saved)

prune86.0ms (1%)

Memory

-7.5MiB live, 31.6MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	375	6	381
Fresh	2	5	7
Picked	1	4	5
Done	1	2	3
Total	379	17	396

Accuracy

100.0%

Counts

396 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.9%	(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)))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	42.9%	(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	98.5%	(-.f64 a #s(approx (- 1/3 (* (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) rand)) (.f64 (.f64 (sqrt.f64 a) rand) #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)))
	98.6%	#s(approx (- a (- 1/3 (* (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) rand))) (.f64 (fma.f64 (.f64 rand #s(literal 1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
	43.3%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand) #s(literal 1/3 binary64)))
✓	43.3%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64)) rand))
	42.7%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand))
✓	43.3%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	42.7%	#s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (* (sqrt (- a 1/3)) 1/3) rand) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
✓	99.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))
	42.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(approx (- a 1/3) #s(literal -1/3 binary64))))
	76.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
✓	34.7%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))
	1.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 #s(literal -1/3 binary64) rand))) rand))
✓	57.8%	#s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
	1.6%	#s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))

Compiler

Compiled 1 406 to 438 computations (68.8% saved)

regimes42.0ms (0.5%)

Memory

11.7MiB live, 47.3MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	(.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	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
9.0ms	a
9.0ms	rand

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes211.0ms (2.6%)

Memory

0.5MiB live, 44.1MiB allocated

Counts

31 → 1

Calls

Call 1

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

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

Calls

4 calls:

184.0ms	(.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	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
9.0ms	rand
8.0ms	a

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes365.0ms (4.4%)

Memory

-9.9MiB live, 63.0MiB allocated

Counts

29 → 1

Calls

Call 1

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

186.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
162.0ms	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)))
8.0ms	rand

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes182.0ms (2.2%)

Memory

29.4MiB live, 64.9MiB allocated

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

158.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
7.0ms	rand
7.0ms	a
7.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes187.0ms (2.3%)

Memory

-35.6MiB live, 52.6MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

4 calls:

166.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
8.0ms	a
6.0ms	rand
6.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`rand`
99.2%	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)))`
99.2%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes24.0ms (0.3%)

Memory

28.5MiB live, 67.4MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
6.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms	a
5.0ms	rand

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`rand`
99.2%	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)))`
99.2%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes46.0ms (0.6%)

Memory

-12.9MiB live, 25.9MiB allocated

Counts

17 → 1

Calls

Call 1

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

Calls

4 calls:

29.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms	a
5.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
5.0ms	rand

Results

Accuracy	Segments	Branch
99.2%	1	`a`
99.2%	1	`rand`
99.2%	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)))`
99.2%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes42.0ms (0.5%)

Memory

-48.1MiB live, 25.9MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

4 calls:

26.0ms	a
5.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
5.0ms	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)))

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes23.0ms (0.3%)

Memory

1.1MiB live, 37.2MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

8.0ms	a
5.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
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	rand

Results

Accuracy	Segments	Branch
65.2%	2	`a`
65.2%	2	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
86.7%	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)))`
95.1%	3	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

10 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

3.0ms

rand

Results

Accuracy	Segments	Branch
94.5%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

rand

Results

Accuracy	Segments	Branch
94.5%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

rand

Results

Accuracy	Segments	Branch
94.5%	3	`rand`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

-8.7MiB live, 27.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
2.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
2.0ms	rand
2.0ms	a

Results

Accuracy	Segments	Branch
57.8%	1	`a`
57.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
57.8%	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)))`
57.8%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes5.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch36.0ms (0.4%)

Memory

-27.8MiB live, 56.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	6.130978231068918e+84	1.0463943290319019e+86
16.0ms	-3.8731915123075835e+119	-3.499252674562216e+116

Samples

22.0ms

240×

valid

Compiler

Compiled 923 to 633 computations (31.4% saved)

Precisions

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

ival-mult: 4.0ms (34% of total)

ival-div: 3.0ms (25.5% of total)

ival-sqrt: 2.0ms (17% of total)

ival-sub: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% 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

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.130978231068918e+84	1.0463943290319019e+86
1.0ms	-3.8731915123075835e+119	-3.499252674562216e+116

Compiler

Compiled 785 to 547 computations (30.3% saved)

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.130978231068918e+84	1.0463943290319019e+86
1.0ms	-3.8731915123075835e+119	-3.499252674562216e+116

Compiler

Compiled 713 to 483 computations (32.3% saved)

bsearch2.0ms (0%)

Memory

3.5MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.130978231068918e+84	1.0463943290319019e+86
1.0ms	-3.8731915123075835e+119	-3.499252674562216e+116

Compiler

Compiled 773 to 513 computations (33.6% saved)

simplify62.0ms (0.8%)

Memory

5.8MiB live, 44.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	470
1	152	462
2	288	456
3	694	456
4	1484	456
5	2437	456
6	3407	456
7	4918	456

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand (-.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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (.f64 #s(approx (/ ( 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
(fma.f64 #s(approx (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))
(-.f64 a #s(approx (- 1/3 (* (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) rand)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))))
(if (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) (if (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) #s(approx ( (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))))
(if (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))) (if (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) #s(approx ( (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand))))
(if (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand)) (if (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) #s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand))))
(if (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) #s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- 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 (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))

Outputs
(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 3 binary64)) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 a #s(literal 1/3 binary64))) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) rand (-.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)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) (-.f64 a #s(literal 1/3 binary64))))
(-.f64 a (-.f64 #s(literal 1/3 binary64) (.f64 #s(approx (/ ( 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand)))
(fma.f64 #s(approx (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (*.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) (-.f64 a #s(literal 1/3 binary64))))
(-.f64 a #s(approx (- 1/3 (* (/ (* 1/3 (- a 1/3)) (sqrt (- a 1/3))) rand)) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal -1/3 binary64))))
(if (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) (if (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) #s(approx ( (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (*.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand))))
(if (or (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) (not (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64))) rand)) #s(approx ( (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))))
(if (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))) (if (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) #s(approx ( (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand))))
(if (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 (.f64 #s(literal 1/3 binary64) rand) #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))) (if (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) #s(approx ( (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))) #s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand))))
(if (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand)) (if (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) #s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand))))
(if (or (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) (not (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)))) #s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (.f64 (.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) #s(literal 1/3 binary64)) rand)) #s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))))
(if (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)) #s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))) #s(approx (+ (* (/ (- a 1/3) 3) (/ rand (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (* 1/3 rand) (sqrt (- a 1/3))) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
(if (or (<=.f64 rand #s(literal -349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) (not (<=.f64 rand #s(literal 37000000000000001921684992893083059632842763006397327683530393559359776509797328748544 binary64)))) #s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- 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 (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64))))
#s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) (-.f64 a #s(literal 1/3 binary64)))
#s(approx (* (+ (* (/ rand (sqrt (- a 1/3))) 1/3) 1) (- a 1/3)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))

soundness1.2s (14.7%)

Memory

32.0MiB live, 971.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	607	3053
1	2105	2746
0	8838	2555
0	330	1560
1	1121	1313
2	4995	1294
0	8302	1197
0	44	259
0	67	259
1	225	250
2	1721	250
0	8164	247
0	13	44
0	22	44
1	76	38
2	504	38
3	7155	38
0	8164	37
0	606	3213
1	2128	2775
0	8876	2564
0	537	2488
1	1815	2187
0	8011	2019

Stop Event

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

Compiler

Compiled 1 224 to 501 computations (59.1% saved)

preprocess153.0ms (1.9%)

Memory: -9.9MiB live, 151.4MiB allocated
Compiler: Compiled 1 000 to 198 computations (80.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze17.0ms (0.2%)

sample1.4s (17.5%)

explain258.0ms (3.1%)

preprocess156.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify46.0ms (0.6%)

localize42.0ms (0.5%)

series15.0ms (0.2%)

simplify192.0ms (2.3%)

rewrite229.0ms (2.8%)

eval64.0ms (0.8%)

prune10.0ms (0.1%)

simplify102.0ms (1.2%)

localize124.0ms (1.5%)

series33.0ms (0.4%)

simplify123.0ms (1.5%)

rewrite313.0ms (3.8%)

eval471.0ms (5.7%)

prune30.0ms (0.4%)

simplify143.0ms (1.7%)

localize86.0ms (1%)

series19.0ms (0.2%)

simplify168.0ms (2%)

rewrite208.0ms (2.5%)

eval134.0ms (1.6%)

prune68.0ms (0.8%)

simplify119.0ms (1.4%)

localize123.0ms (1.5%)

series14.0ms (0.2%)

simplify174.0ms (2.1%)

rewrite293.0ms (3.5%)

eval333.0ms (4%)

prune86.0ms (1%)

regimes42.0ms (0.5%)

regimes211.0ms (2.6%)

regimes365.0ms (4.4%)

regimes182.0ms (2.2%)

regimes187.0ms (2.3%)

regimes24.0ms (0.3%)

regimes46.0ms (0.6%)

regimes42.0ms (0.5%)

regimes23.0ms (0.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch36.0ms (0.4%)

bsearch3.0ms (0%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

simplify62.0ms (0.8%)

soundness1.2s (14.7%)

preprocess153.0ms (1.9%)

end0.0ms (0%)

Profiling