Metrics for Octave 3.8, oct_fill

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze26.0ms (0.4%)

Memory

-14.7MiB live, 24.9MiB allocated; 12ms collecting garbage

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)

sample1.6s (25.6%)

Memory

34.1MiB live, 1 884.1MiB allocated; 410ms collecting garbage

Samples

1.1s	8 256×	0	valid
41.0ms	532×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 777.0ms

ival-mult: 288.0ms (37.1% of total)

ival-div: 284.0ms (36.6% of total)

ival-sub: 67.0ms (8.6% of total)

ival-sqrt: 65.0ms (8.4% of total)

ival-add: 48.0ms (6.2% of total)

exact: 12.0ms (1.5% of total)

ival-true: 7.0ms (0.9% of total)

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

adjust: 2.0ms (0.3% of total)

Bogosity

explain207.0ms (3.4%)

Memory

2.6MiB live, 295.0MiB allocated; 48ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

74.0ms	484×	0	valid
4.0ms	16×	2	valid
2.0ms	10×	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: 47.0ms

ival-mult: 24.0ms (50.6% of total)

ival-div: 8.0ms (16.9% of total)

ival-sqrt: 7.0ms (14.8% of total)

ival-sub: 3.0ms (6.3% of total)

ival-add: 3.0ms (6.3% of total)

adjust: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

preprocess165.0ms (2.7%)

Memory

17.0MiB live, 245.3MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	89	76
2	267	74
3	784	74
4	3377	74
0	13	16
0	22	16
1	39	14
2	86	14
3	222	14
4	974	14
5	4286	14
0	8177	14

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

(*.f64 (-.f64 (/.f64 rand (sqrt.f64 (*.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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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)

simplify143.0ms (2.3%)

Memory

-24.6MiB live, 118.2MiB allocated; 28ms collecting garbage

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	86	60
3	222	60
4	974	60
5	4286	60
0	8177	60

Stop Event

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

Calls

Call 1

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

localize49.0ms (0.8%)

Memory

12.7MiB live, 114.6MiB allocated; 11ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(.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	0.25	(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))))))
accuracy	0.37499722801866253	(sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))

Samples

22.0ms	242×	0	valid
5.0ms	8×	2	valid
1.0ms	5×	1	valid
1.0ms	1×	5	exit

Compiler

Compiled 86 to 15 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 10.0ms (50.7% of total)

ival-div: 4.0ms (20.3% of total)

ival-sqrt: 2.0ms (10.1% of total)

adjust: 1.0ms (5.1% of total)

ival-sub: 1.0ms (5.1% of total)

ival-add: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory

-5.7MiB live, 41.1MiB allocated; 2ms collecting garbage

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
13.0ms	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))))))
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	@	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))))))

simplify244.0ms (4%)

Memory

-0.1MiB live, 227.3MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	1560
1	1121	1313
2	5418	1299
0	8696	1199

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 (/.f64 (fma.f64 (/.f64 a #s(literal -1/3 binary64)) #s(literal -3/8 binary64) #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) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)))))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1/6 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) a)))))
(.f64 (neg.f64 a) (-.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/3 binary64) (.f64 (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal -1/6 binary64))) (sqrt.f64 #s(literal -9 binary64)))) a)))
(* -1 (* a (+ (* -1 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (+ (* 1/18 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))) (* 1/6 (* (sqrt a) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)) (* -1/3 (+ 1 (* (sqrt (/ 1 a)) (/ (* rand (sqrt -1)) (sqrt -9)))))) a)))))
(.f64 (neg.f64 a) (-.f64 (neg.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) #s(literal -1/3 binary64) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) #s(literal 0 binary64) (.f64 (.f64 (sqrt.f64 a) #s(literal 1/6 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 rand (sqrt.f64 #s(literal -9 binary64)))))) (neg.f64 a))) a)))
(* -1 (* a (- (* 1/3 (/ 1 a)) 1)))
(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1/3 binary64) a) #s(literal 1 binary64)))
(* -1 (* (sqrt a) (* (sqrt -9) (sqrt -1))))
(.f64 (.f64 (neg.f64 (sqrt.f64 a)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* a (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))
(.f64 (neg.f64 a) (.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal -1/72 binary64) (.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* -1 (* a (+ (* -1/72 (* (sqrt (/ 1 (pow a 5))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/432 (* (sqrt (/ 1 (pow a 7))) (* (sqrt -9) (sqrt -1)))) (+ (* 1/6 (* (sqrt (/ 1 (pow a 3))) (* (sqrt -9) (sqrt -1)))) (* (sqrt (/ 1 a)) (* (sqrt -9) (sqrt -1))))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64)))) (.f64 #s(literal 1/432 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64)))))) (.f64 (*.f64 (sqrt.f64 #s(literal -9 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))))
(* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9))))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -9 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))))
(+ (* -1/6 (* (sqrt (/ 1 (pow a 3))) (/ (sqrt -1) (sqrt -9)))) (+ (* -1/18 (* (sqrt (/ 1 (pow a 5))) (/ (sqrt -1) (sqrt -9)))) (* (sqrt (/ 1 a)) (/ (sqrt -1) (sqrt -9)))))
(fma.f64 (.f64 #s(literal -1/6 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 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) a)
(* 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))))

rewrite46.0ms (0.8%)

Memory

30.9MiB live, 75.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
0	22	44
1	76	38
0	554	37

Stop Event

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

Counts

6 → 75

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

eval30.0ms (0.5%)

Memory: -44.9MiB live, 61.5MiB allocated; 17ms collecting garbage
Compiler: Compiled 4 607 to 786 computations (82.9% saved)

prune8.0ms (0.1%)

Memory

39.1MiB live, 39.1MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	139	11	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	11	151

Accuracy

100.0%

Counts

151 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
▶	99.7%	(fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) rand (-.f64 a #s(literal 1/3 binary64)))
	99.7%	(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(literal 1 binary64)) (-.f64 a #s(literal 1/3 binary64)))
	99.8%	(*.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))))
	98.8%	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (* 9 (- a (/ 1 3)))) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) rand)))
	99.7%	(.f64 #s(approx (- a (/ 1 3)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)) (+.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)))
▶	99.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) a))
▶	0.0%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal -1/9 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) rand) #s(literal -1/3 binary64)))
	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
▶	78.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand))
	38.3%	#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 532 to 362 computations (32% saved)

simplify133.0ms (2.2%)

Memory

-8.6MiB live, 221.3MiB allocated; 65ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	247
0	62	240
1	118	234
2	264	233
3	726	233
4	3513	233
0	8356	224

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (2.1%)

Memory

3.5MiB live, 193.6MiB allocated; 31ms collecting garbage

Localize:

Found 20 expressions of interest:

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

Samples

90.0ms

256×

invalid

Compiler

Compiled 236 to 43 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 35.0ms (49.2% of total)

const: 10.0ms (14.1% of total)

ival-div: 8.0ms (11.2% of total)

ival-add: 8.0ms (11.2% of total)

ival-sqrt: 7.0ms (9.8% of total)

ival-sub: 3.0ms (4.2% of total)

exact: 1.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

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

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

series93.0ms (1.5%)

Memory

-57.7MiB live, 69.9MiB allocated; 114ms collecting garbage

Counts

19 → 158

Calls

Call 1

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

Calls

6 calls:

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

simplify220.0ms (3.6%)

Memory

20.5MiB live, 213.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	722	3678
1	2466	3256
0	8505	3020

Stop Event

1×	iter limit
1×	node limit

Counts

158 → 157

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

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

rewrite95.0ms (1.5%)

Memory

-2.0MiB live, 89.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	207
0	62	205
1	236	199
0	1933	194

Stop Event

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

Counts

19 → 305

Calls

Call 1

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

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

eval88.0ms (1.4%)

Memory: 4.6MiB live, 99.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 20 323 to 2 214 computations (89.1% saved)

prune54.0ms (0.9%)

Memory

-8.7MiB live, 38.0MiB allocated; 4ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	583	14	597
Fresh	5	1	6
Picked	5	0	5
Done	0	0	0
Total	593	15	608

Accuracy

100.0%

Counts

608 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.9%	(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶	99.8%	(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
	99.8%	(fma.f64 (.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 9 binary64) (-.f64 a #s(literal 1/3 binary64)))))) rand (-.f64 a #s(literal 1/3 binary64)))
▶	37.8%	(fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶	98.9%	(fma.f64 #s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
	97.1%	#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64)) a))
	38.3%	#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	98.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) a))
	96.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) (*.f64 (sqrt.f64 a) rand)) a))
	98.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) (neg.f64 (fma.f64 (*.f64 (neg.f64 rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a #s(literal 1 binary64)))) a))
▶	62.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a))
	97.1%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a))
	78.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) #s(literal 1/3 binary64) (/.f64 a rand)) (/.f64 #s(literal 1/3 binary64) rand)) rand))
	40.9%	#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))
	38.3%	#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 878 to 576 computations (34.4% saved)

simplify107.0ms (1.7%)

Memory

-0.8MiB live, 90.0MiB allocated; 5ms collecting garbage

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	255
0	67	255
1	120	251
2	253	251
3	714	250
4	3515	250
0	8288	240

Stop Event

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

Calls

Call 1

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

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

localize105.0ms (1.7%)

Memory

4.4MiB live, 100.3MiB allocated; 12ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09375	(fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
accuracy	0.2890625	(*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
accuracy	0.3984375	(/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
accuracy	63.29938427221446	#s(approx (- a 1/3) #s(literal -1/3 binary64))
accuracy	0.00390625	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.09375	(fma.f64 #s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.38671875	(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
accuracy	1.6515081598641321	#s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.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 #s(literal 1/3 binary64) (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) a))
accuracy	0.16015625	(fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64))
accuracy	0.29911352106700756	(fma.f64 #s(literal 1/3 binary64) (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) a)
accuracy	1.6491619689828254	#s(approx (sqrt (- a 1/3)) (sqrt.f64 a))
accuracy	0.0	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a))
accuracy	0.29911352106700756	(fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a)
accuracy	40.53248169123118	#s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64))
accuracy	0.00390625	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.015625	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.1015625	(fma.f64 (/.f64 rand #s(literal 3 binary64)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.52734375	(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))

Samples

77.0ms

256×

valid

Compiler

Compiled 217 to 34 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 32.0ms (52.8% of total)

ival-div: 8.0ms (13.2% of total)

const: 7.0ms (11.5% of total)

ival-add: 5.0ms (8.2% of total)

ival-sqrt: 5.0ms (8.2% of total)

ival-sub: 2.0ms (3.3% 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)

series10.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

20 → 96

Calls

Call 1

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

Calls

6 calls:

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

simplify134.0ms (2.2%)

Memory

1.7MiB live, 146.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	2133
1	1697	1928
0	8312	1770

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 95

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

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

rewrite105.0ms (1.7%)

Memory

24.3MiB live, 156.5MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	225
0	67	225
1	244	220
0	2062	214

Stop Event

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

Counts

20 → 246

Calls

Call 1

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

eval101.0ms (1.6%)

Memory: -4.3MiB live, 137.5MiB allocated; 30ms collecting garbage
Compiler: Compiled 14 383 to 1 514 computations (89.5% saved)

prune18.0ms (0.3%)

Memory

3.6MiB live, 47.6MiB allocated; 5ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	439	5	444
Fresh	4	6	10
Picked	1	4	5
Done	0	0	0
Total	444	15	459

Accuracy

100.0%

Counts

459 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.8%	(fma.f64 (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (/.f64 rand #s(literal 3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶	37.9%	(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
✓	37.8%	(fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
▶	99.8%	(fma.f64 #s(approx (/ rand 3) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
✓	98.9%	(fma.f64 #s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
	98.9%	(fma.f64 #s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand #s(approx (- a 1/3) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) a)) a)))
▶	36.9%	(fma.f64 #s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	97.1%	#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64)) a))
	38.3%	#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
▶	97.1%	#s(approx (+ (* (/ rand 3) (/ (- a 1/3) (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))
✓	98.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) a))
	96.9%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) (*.f64 (sqrt.f64 a) rand)) a))
	98.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) (neg.f64 (fma.f64 (*.f64 (neg.f64 rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a #s(literal 1 binary64)))) a))
✓	62.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a))
▶	40.9%	#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))

Compiler

Compiled 717 to 472 computations (34.2% saved)

simplify103.0ms (1.7%)

Memory

-14.5MiB live, 127.8MiB allocated; 25ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))
cost-diff	0	(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
cost-diff	0	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
cost-diff	0	(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) rand)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64)) a)
cost-diff	0	#s(approx (+ (* (/ rand 3) (/ (- a 1/3) (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))
cost-diff	0	(sqrt.f64 a)
cost-diff	0	(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
cost-diff	0	#s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand #s(approx (- a 1/3) #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	(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) rand)
cost-diff	0	#s(approx (/ rand 3) (*.f64 #s(literal 1/3 binary64) rand))
cost-diff	1	(fma.f64 #s(approx (/ rand 3) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (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	49	296
0	77	296
1	133	294
2	254	294
3	666	291
4	3122	291
0	8127	287

Stop Event

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

Calls

Call 1

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

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

localize193.0ms (3.1%)

Memory

1.3MiB live, 329.7MiB allocated; 79ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
accuracy	0.265625	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64))))
accuracy	0.37499722801866253	(sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))
accuracy	63.05324292431851	#s(approx (- a 1/3) #s(literal -1/3 binary64))
accuracy	0.15234375	(fma.f64 (*.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1 binary64))
accuracy	0.1640625	(sqrt.f64 (/.f64 #s(literal 1 binary64) a))
accuracy	0.35546875	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	1.5728542186755772	#s(approx (+ (* (/ rand 3) (/ (- a 1/3) (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))
accuracy	0.09375	(fma.f64 #s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
accuracy	0.3828125	(*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))
accuracy	1.5370410493240179	#s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64)))
accuracy	63.05324292431851	#s(approx (- a 1/3) #s(literal -1/3 binary64))
accuracy	0.00390625	(-.f64 a #s(literal 1/3 binary64))
accuracy	0.02734375	(/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)
accuracy	13.92893555247252	(.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand)) rand)
accuracy	23.937528883441313	#s(approx (+ (* (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) rand))
accuracy	0.01171875	(sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.1015625	(fma.f64 #s(approx (/ rand 3) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
accuracy	0.35546875	(*.f64 #s(literal 1/3 binary64) rand)
accuracy	0.5234375	(/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))

Samples

107.0ms	242×	0	valid
32.0ms	5×	1	valid
14.0ms	8×	2	valid
2.0ms	1×	5	exit

Compiler

Compiled 236 to 44 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-sqrt: 38.0ms (29.8% of total)

const: 25.0ms (19.6% of total)

ival-mult: 21.0ms (16.5% of total)

ival-sub: 17.0ms (13.3% of total)

ival-div: 16.0ms (12.5% of total)

ival-add: 7.0ms (5.5% of total)

adjust: 3.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

37.3MiB live, 37.3MiB allocated; 0ms collecting garbage

Counts

23 → 140

Calls

Call 1

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

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

Calls

6 calls:

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

simplify202.0ms (3.3%)

Memory

-14.0MiB live, 262.1MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	630	3058
1	2161	2734
0	9440	2533

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 139

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

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

rewrite240.0ms (3.9%)

Memory

-16.7MiB live, 276.7MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	260
0	77	260
1	266	252
2	2028	252
0	8108	244

Stop Event

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

Counts

23 → 449

Calls

Call 1

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

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

eval149.0ms (2.4%)

Memory: 9.3MiB live, 155.6MiB allocated; 30ms collecting garbage
Compiler: Compiled 30 449 to 2 975 computations (90.2% saved)

prune33.0ms (0.5%)

Memory

17.5MiB live, 64.5MiB allocated; 2ms collecting garbage

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	803	12	815
Fresh	3	3	6
Picked	4	1	5
Done	0	4	4
Total	810	20	830

Accuracy

100.0%

Counts

830 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.9%	(fma.f64 (/.f64 (/.f64 rand #s(literal 3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	37.9%	(fma.f64 (/.f64 rand (sqrt.f64 #s(approx (* (- a 1/3) 9) (fma.f64 #s(literal 9 binary64) a #s(literal -3 binary64))))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	36.9%	(fma.f64 (/.f64 rand (sqrt.f64 #s(approx (* (- a 1/3) 9) (*.f64 #s(literal 9 binary64) a)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	36.9%	(fma.f64 (/.f64 rand #s(approx (sqrt (* (- a 1/3) 9)) (*.f64 (sqrt.f64 a) #s(literal 3 binary64)))) (-.f64 a #s(literal 1/3 binary64)) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
✓	37.8%	(fma.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	37.8%	(fma.f64 #s(approx (/ rand 3) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) #s(approx (- a 1/3) #s(literal -1/3 binary64)))
✓	98.9%	(fma.f64 #s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand (-.f64 a #s(literal 1/3 binary64)))
✓	36.9%	(fma.f64 #s(approx (* (- a 1/3) (/ 1/3 (sqrt (- a 1/3)))) (*.f64 (sqrt.f64 a) #s(literal 1/3 binary64))) rand #s(approx (- a 1/3) #s(literal -1/3 binary64)))
	97.1%	#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) a)) #s(literal 1/3 binary64)) rand #s(literal 1 binary64)) a))
	38.3%	#s(approx (+ (* (/ rand (sqrt (* (- a 1/3) 9))) (- a 1/3)) (- a 1/3)) (.f64 (.f64 #s(literal 1/3 binary64) rand) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))))
	97.1%	#s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) (fma.f64 a (*.f64 (/.f64 rand (sqrt.f64 a)) #s(literal 1/3 binary64)) a))
	60.8%	#s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) (.f64 #s(approx (+ ( (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))
	96.9%	#s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (fma.f64 (*.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64) a)))
	37.1%	#s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))
✓	98.6%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) a))
	98.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) (neg.f64 (fma.f64 (*.f64 (neg.f64 rand) (sqrt.f64 (/.f64 #s(literal 1 binary64) a))) a #s(literal 1 binary64)))) a))
✓	62.5%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a))
	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)) (/.f64 #s(approx (- a 1/3) #s(literal -1/3 binary64)) rand)) rand))
	40.9%	#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 rand) (/.f64 #s(literal 1/3 binary64) rand))) rand))
	39.2%	#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (.f64 #s(approx (+ ( (sqrt (- a 1/3)) 1/3) (/ (- a 1/3) rand)) #s(approx (/ (- a 1/3) rand) (/.f64 a rand))) rand))

Compiler

Compiled 1 759 to 583 computations (66.9% saved)

regimes50.0ms (0.8%)

Memory

1.1MiB live, 90.1MiB allocated; 8ms collecting garbage

Counts

43 → 1

Calls

Call 1

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

Calls

4 calls:

14.0ms	rand
12.0ms	(.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)))
11.0ms	a
10.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes57.0ms (0.9%)

Memory

-6.4MiB live, 47.6MiB allocated; 6ms collecting garbage

Counts

32 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	(.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	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
8.0ms	rand
8.0ms	a

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes38.0ms (0.6%)

Memory

17.1MiB live, 61.6MiB allocated; 5ms collecting garbage

Counts

30 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes48.0ms (0.8%)

Memory

3.0MiB live, 45.5MiB allocated; 5ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

Calls

4 calls:

28.0ms	rand
6.0ms	a
6.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
6.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
99.5%	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)))`
99.5%	1	`a`
99.5%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes42.0ms (0.7%)

Memory

-13.9MiB live, 31.2MiB allocated; 6ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

28.0ms	a
4.0ms	rand
4.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
4.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
98.9%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
98.9%	1	`a`
98.9%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes17.0ms (0.3%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
98.6%	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)))`
98.6%	1	`a`
98.6%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes46.0ms (0.7%)

Memory

-37.4MiB live, 17.7MiB allocated; 12ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	rand
3.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
3.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
3.0ms	a

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
96.9%	1	`(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))`
96.9%	1	`a`
96.9%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes11.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.7%	3	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
84.2%	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)))`
66.7%	3	`a`
92.5%	3	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes8.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.5%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
62.5%	1	`a`
62.5%	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)))`
62.5%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes35.0ms (0.6%)

Memory

-35.8MiB live, 9.9MiB allocated; 6ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	a
1.0ms	(.f64 (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 9 binary64) (-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))))) rand)))
1.0ms	(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	rand

Results

Accuracy	Segments	Branch
60.8%	1	`(-.f64 a (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
60.8%	1	`a`
60.8%	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)))`
60.8%	1	`rand`

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch23.0ms (0.4%)

Memory

27.7MiB live, 27.7MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.471463695171743e+59	3.65466397522348e+62
5.0ms	-8.048661346513408e+83	-6.76402005185252e+83

Samples

12.0ms

176×

valid

Compiler

Compiled 793 to 557 computations (29.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (35.4% of total)

ival-div: 2.0ms (23.6% of total)

ival-add: 1.0ms (11.8% of total)

ival-sub: 1.0ms (11.8% of total)

ival-sqrt: 1.0ms (11.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify63.0ms (1%)

Memory

-13.3MiB live, 31.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	293
1	119	283
2	228	283
3	621	279
4	3365	279

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(approx (/ rand 3) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #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 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) a))
(fma.f64 #s(approx (* (- a 1/3) (/ 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 #s(literal 1/3 binary64) (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) (*.f64 (sqrt.f64 a) rand)) a))
(if (<=.f64 rand #s(literal -749999999999999989405064089285642937493920171282786755549242552344889288305472962560 binary64)) #s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 359999999999999998906341019418165364806343837358769262903164928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a)) #s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a))
#s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) (.f64 #s(approx (+ ( (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))

Outputs
(fma.f64 (/.f64 rand (sqrt.f64 (*.f64 (-.f64 a #s(literal 1/3 binary64)) #s(literal 9 binary64)))) (-.f64 a #s(literal 1/3 binary64)) (-.f64 a #s(literal 1/3 binary64)))
(fma.f64 #s(approx (/ rand 3) (*.f64 #s(literal 1/3 binary64) rand)) (/.f64 (-.f64 a #s(literal 1/3 binary64)) (sqrt.f64 (-.f64 a #s(literal 1/3 binary64)))) (-.f64 a #s(literal 1/3 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 rand (sqrt.f64 (-.f64 a #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 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (-.f64 a #s(literal 1/3 binary64))) rand #s(literal -1 binary64)) a))
(fma.f64 #s(approx (* (- a 1/3) (/ 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 #s(literal 1/3 binary64) (fma.f64 #s(approx (sqrt (- a 1/3)) (sqrt.f64 a)) rand #s(literal -1 binary64)) a))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) (*.f64 (sqrt.f64 a) rand)) a))
(if (<=.f64 rand #s(literal -749999999999999989405064089285642937493920171282786755549242552344889288305472962560 binary64)) #s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) (if (<=.f64 rand #s(literal 359999999999999998906341019418165364806343837358769262903164928 binary64)) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a)) #s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64))))))
(if (or (<=.f64 rand #s(literal -749999999999999989405064089285642937493920171282786755549242552344889288305472962560 binary64)) (not (<=.f64 rand #s(literal 359999999999999998906341019418165364806343837358769262903164928 binary64)))) #s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) #s(approx (* (+ (* (* 1/3 rand) (sqrt (/ 1 a))) 1) a) (.f64 (.f64 (sqrt.f64 a) rand) #s(literal 1/3 binary64)))) #s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a)))
#s(approx (* (- a (/ 1 3)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1 3))))) rand))) (fma.f64 #s(literal 1/3 binary64) #s(approx (+ (* (sqrt (- a 1/3)) rand) -1) #s(literal -1 binary64)) a))
#s(approx (+ (* (/ rand 3) (/ (- a 1/3) (sqrt (- a 1/3)))) (- a 1/3)) (.f64 #s(approx (+ ( (* 1/3 rand) (sqrt (/ 1 a))) 1) #s(literal 1 binary64)) a))

derivations810.0ms (13.2%)

Memory

-29.4MiB live, 679.3MiB allocated; 148ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	501	2133
1	1697	1928
0	8312	1770
0	630	3058
1	2161	2734
0	9440	2533
0	330	1560
1	1121	1313
2	5418	1299
0	8696	1199
0	38	207
0	62	205
1	236	199
0	1933	194
0	13	44
0	22	44
1	76	38
0	554	37
0	722	3678
1	2466	3256
0	8505	3020

Stop Event

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

Compiler

Compiled 313 to 79 computations (74.8% saved)

preprocess51.0ms (0.8%)

Memory: -6.6MiB live, 83.7MiB allocated; 17ms collecting garbage
Compiler: Compiled 666 to 184 computations (72.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze26.0ms (0.4%)

sample1.6s (25.6%)

explain207.0ms (3.4%)

preprocess165.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify143.0ms (2.3%)

localize49.0ms (0.8%)

series25.0ms (0.4%)

simplify244.0ms (4%)

rewrite46.0ms (0.8%)

eval30.0ms (0.5%)

prune8.0ms (0.1%)

simplify133.0ms (2.2%)

localize131.0ms (2.1%)

series93.0ms (1.5%)

simplify220.0ms (3.6%)

rewrite95.0ms (1.5%)

eval88.0ms (1.4%)

prune54.0ms (0.9%)

simplify107.0ms (1.7%)

localize105.0ms (1.7%)

series10.0ms (0.2%)

simplify134.0ms (2.2%)

rewrite105.0ms (1.7%)

eval101.0ms (1.6%)

prune18.0ms (0.3%)

simplify103.0ms (1.7%)

localize193.0ms (3.1%)

series17.0ms (0.3%)

simplify202.0ms (3.3%)

rewrite240.0ms (3.9%)

eval149.0ms (2.4%)

prune33.0ms (0.5%)

regimes50.0ms (0.8%)

regimes57.0ms (0.9%)

regimes38.0ms (0.6%)

regimes48.0ms (0.8%)

regimes42.0ms (0.7%)

regimes17.0ms (0.3%)

regimes46.0ms (0.7%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes35.0ms (0.6%)

bsearch23.0ms (0.4%)

simplify63.0ms (1%)

derivations810.0ms (13.2%)

preprocess51.0ms (0.8%)

end0.0ms (0%)

Profiling